A television weighs 8.50 pounds. How many grams is this? (Hint: You need to
use two unit conversion fractions. 1 pound equals about 0.454 kg.)

Answers

Answer 1

Answer:

Hello

The answer is 3855'5

Step-by-step explanation:

At first change lbs to kg.

Then you'll change the kg to grkg×1000=gr


Related Questions

2. A 175g sample of radioactive kryptonite-344 has a half-life of 122 days.

a) Write the exponential equation that gives the amount of kryptonite that remains after t days.

Write equation in the form M(t)= ab* where x=

elapsed time

half-life time

Answers

Answer:

[tex]M(t) = 175(0.9943)^{t}[/tex]

Step-by-step explanation:

The amount of kryptonite-344 after t days is given by the following equation:

[tex]M(t) = ab^{t}[/tex]

In which a is the initial amount.

175g sample:

This means that [tex]a = 175[/tex]

So

[tex]M(t) = 175b^{t}[/tex]

Half-life of 122 days.

This means that [tex]M(122) = 0.5*175 = 87.5[/tex]

So

[tex]M(t) = 175b^{t}[/tex]

[tex]87.5 = 175b^{122}[/tex]

[tex]b^{122} = 0.5[/tex]

[tex]\sqrt[122]{b^{122}} = \sqrt[122]{0.5}[/tex]

[tex]b = 0.9943[/tex]

So

[tex]M(t) = 175(0.9943)^{t}[/tex]

Joe says, "I have found an interesting fact! Twenty-five percent of thirty dollars is
the same as thirty percent of twenty-five dollars." Is Joe correct? Please explain
your thinking to show that Joe is right or wrong.

Answers

Answer:

Joe Is Right

Step-by-step explanation:

Twenty-five percent of thirty dollars is $7.50

(30 x 25)/100 = $7.50

Thirty percent of twenty-five dollars is $7.50

(25 x 30)/100 = $7.50

Therefore he is right

I hope this helps

PLEASE HELP I DON'T UNDERSTAND THE QUESTION. THANK YOU :)

Answers

ABC and DEC are similar, since the line segments AB and DE are parallel.

This means corresponding sides of these triangles occur in a fixed ratio with one another.

In particular, this tells us

DE/AB = DC/AC

or

7/11 = 15/(15 + x)

Solve for x:

11/7 = (15 + x)/15

11/7 = 1 + x/15

4/7 = x/15

x = 60/7

A walk-in medical clinic believes that arrivals are uniformly distributed over weekdays (Monday through Friday). It has collected the following data based on a random sample of 100 days. Frequency Mon 25 Tue 22 Wed 19 Thu 18 Fri 16 Total 100 Assuming that a goodness-of-fit test is to be conducted using a 0.10 level of significance, the critical value is:

Answers

Answer:

The degrees of freedom are given by;

[tex] df =n-1= 5-1=4[/tex]

The significance level is 0.1 so then the critical value would be given by:

[tex] F_{cric}= 7.779[/tex]

If the calculated value is higher than this value we can reject the null hypothesis that the arrivals are uniformly distributed over weekdays

Step-by-step explanation:

For this case we have the following observed values:

Mon 25 Tue 22 Wed 19 Thu 18 Fri 16 Total 100

For this case the expected values for each day are assumed:

[tex] E_i = \frac{100}{5}= 20[/tex]

The statsitic would be given by:

[tex] \chi^2 = \sum_{i=1}^n \frac{(O_i-E_i)^2}{E_i}[/tex]

Where O represent the observed values and E the expected values

The degrees of freedom are given by;

[tex] df =n-1= 5-1=4[/tex]

The significance level is 0.1 so then the critical value would be given by:

[tex] F_{cric}= 7.779[/tex]

If the calculated value is higher than this value we can reject the null hypothesis that the arrivals are uniformly distributed over weekdays

Eric’s average income for the first 4 months of the year is $1,450.25, what must be his
average income for the remaining 8 months so that his average income for the year is
$1,780.75?

Answers

Answer:

$1946

Step-by-step explanation:

Eric’s average income for the first 4 months of the year is $1,450.25

Therefore, his total earning in the first four months

= 4 X $1,450.25

=$5,801

Let the average income for the remaining 8 months= x

Then:

[tex]\text{Eric's Yearly Average Income}=\dfrac{5801+8x}{12} \\1,780.75=\dfrac{5801+8x}{12} \\$Cross multiply\\12*1,780.75=5801+8x\\21369=5801+8x\\8x=21369-5801\\8x=15568\\Divide both sides by 8\\x=\$1946[/tex]

Therefore, to get an average income for the year of $1,780.75, Eric must earn an average income of $1946 for the remaining 8 months.

What’s the correct answer for this?

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

A tangent to a circle forms a right angle with the radius

As it is a right angled triangle, we can use Pythagoras' theorem

a^2 + b^2 = c^2

Rearrange this for a side length:

a^2 = c^2 - b^2

Sub the values in:

a^2 = 6.5^2 - 6^2

a^2 = 6.25

Square root this for the answer

a = 2.5

Thus, your answer is option D

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

2.5 ft

Step-by-step explanation:

As radius is perpendicular to tangent ,

LT [tex]\perp[/tex]KT

By pythagoras theorem:

LT² = LK² - KT²

LT² = (6.5)² - 6²

LT² = 42.25 - 36

LT² = 6.25

LT = 2.5 ft

LT = radius = 2.5 ft

A rectangle has a base length of 12 inches and an unknown height, h. The area of the rectangle is less than 60 square inches. Which inequality can be used to model the problem?

12h < 60

12h > 60

12 + h < 60

12 + h > 60

Answers

Answer:

12h < 60

Step-by-step explanation:

A rectangle, with height h and base length l, has the following area.

[tex]A = l*h[/tex]

In this question:

[tex]l = 12, A < 60[/tex]

So

[tex]A < 60[/tex]

[tex]l*h < 60[/tex]

[tex]12h < 60[/tex]

So the correct answer is:

12h < 60

Answer:

12h < 60

hope this helps, its right because i took the test and it shows

Solve for x.

Solve for x.

Answers

Answer:

20

Step-by-step explanation:

x is the radius of the circle.  The tangent line is perpendicular to the radius line at that point.  Using Pythagorean theorem:

x² + 15² = (x + 5)²

x² + 225 = x² + 10x + 25

225 = 10x + 25

200 = 10x

x = 20

Answer is:

x = 20. hope this helps

Use the horizontal number line to find the distance between -5 and 0.
1
-5 -4 -3 -2 -1 0
1
2 3 4
5
The distance between -5 and O is
<
The absolute value of -5 is

Answers

Answer:

I think +5 or 5

Answer:

there both 5

Step-by-step explanation: did the question on edg

12. Jeremy got quote from iVan to move him into his new home. One quote was for a weekday move which is

for 8 hours of loading/unloading and 6 hours of packing/unpacking for $890. The other quote was for a

weekend move which is for 5 hours of loading/unloading and 3 hours of packing/unpacking for $515. If

iVan has set hourly rates for loading/unloading and packing/unpacking, what are these hourly rates?

Answers

Answer:

Loading/unloading hourly rate: $70

Packing/unpacking hourly rate: $55

Step-by-step explanation:

We can write this as a system of linear equations.

We define L as the loading/unloading hourly rate, and P as the packing/unpacking hourly rate.

"One quote was for a weekday move which is  for 8 hours of loading/unloading and 6 hours of packing/unpacking for $890":

[tex]8L+6P=890[/tex]

"The other quote was for a  weekend move which is for 5 hours of loading/unloading and 3 hours of packing/unpacking for $515":

[tex]5L+3P=515[/tex]

If we express L in function of P in the first equation, and then replace this value in the second equation, we have:

[tex]8L+6P=890\\\\8L=890-6P\\\\L=\dfrac{890-6P}{8}[/tex]

[tex]5L+3P=515\\\\5\cdot \dfrac{890-6P}{8}+3P=515\\\\556.25-3.75P+3P=515\\\\-0.75P=515-556.25=-41.25\\\\P=41.25/0.75=55[/tex]

Then, L is:

[tex]L=\dfrac{890-6P}{8}=\dfrac{890-6(55)}{8}=\dfrac{890-330}{8}=\dfrac{560}{8}=70[/tex]

Hal has 24 video games 6 if his games are sports related and the rest are role playing games which ratio represent the number of his role playing games

Answers

Answer:

It would be 18;24 or simplified it would be 3;4

Step-by-step explanation:

24-6=18 so there are 18 role playing games. So the ratio could be 18;24 but if it needs to be simplified you can divide both numbers by 6. 18/6=3 and 24/6=4

what are the solutions to the following system -2x^2+y= -5 y= -3x^2+5

Answers

[tex](x1,y1)= (- \frac{\sqrt{15} }{2} , \frac{5}{4} )\\(x2,y2)= (\frac{\sqrt{15} }{2} ,\frac{5}{4} )[/tex]

Answer:

Answer C.

Step-by-step explanation:

hope this helps <3

samantha is making punch for a class picnic. there are 25 students in her class. Samantha uses 1 gallon 2 quarts of orange juice, 3 quarts of lemonade, and 1 gallon 3 quarts of sparkling water. How much punch did samantha make? will there be enough for each student to make two 1 cup servings of punch?

Answers

Answer:

4 gallonsyes

Step-by-step explanation:

A quart is 1/4 gallon, so the total of liquid ingredients for the punch is ...

  (1 2/4 gal) +(3/4 gal) +(1 3/4 gal) = 2 8/4 gal = 4 gal

Samantha made 4 gallons of punch.

__

1 cup is 1/16 gallon, so 2 cups each for 25 students requires ...

  (1/16 gal)(2)(25) = 50/16 gal = 3 1/8 gal

Samantha made more punch than that, so there will be enough for 2 1-cup servings for each student.

Find the coefficient of variation for each of the two sets of data, then compare the variation. Round results to one decimal place. Listed below are the systolic blood pressures (in mm Hg) for a sample of men aged 20-29 and for a sample of men aged 60-69. Group of answer choices Men aged 20-29: 4.8% Men aged 60-69: 10.6% There is substantially more variation in blood pressures of the men aged 60-69. Men aged 20-29: 4.4% Men aged 60-69: 8.3% There is substantially more variation in blood pressures of the men aged 60-69. Men aged 20-29: 4.6% Men aged 60-69: 10.2 % There is substantially more variation in blood pressures of the men aged 60-69. Men aged 20-29: 7.6% Men aged 60-69: 4.7% There is more variation in blood pressures of the men aged 20-29.

Answers

Here is  the correct computation of the question given.

Find the coefficient of variation for each of the two sets of data, then compare the variation. Round results to one decimal place. Listed below are the systolic blood pressures (in mm Hg) for a sample of men aged 20-29 and for a sample of men aged 60-69.

Men aged 20-29:      117      122     129      118     131      123

Men aged 60-69:      130     153      141      125    164     139

Group of answer choices

a)

Men aged 20-29: 4.8%

Men aged 60-69: 10.6%

There is substantially more variation in blood pressures of the men aged 60-69.

b)

Men aged 20-29: 4.4%

Men aged 60-69: 8.3%

There is substantially more variation in blood pressures of the men aged 60-69.

c)

Men aged 20-29: 4.6%

Men aged 60-69: 10.2 %

There is substantially more variation in blood pressures of the men aged 60-69.

d)

Men aged 20-29: 7.6%

Men aged 60-69: 4.7%

There is more variation in blood pressures of the men aged 20-29.

Answer:

(c)

Men aged 20-29: 4.6%

Men aged 60-69: 10.2 %

There is substantially more variation in blood pressures of the men aged 60-69.

Step-by-step explanation:

From the given question:

The coefficient of variation can be determined by the relation:

[tex]coefficient \ of \ variation = \dfrac{standard \ deviation}{mean}*100[/tex]

We will need to determine the coefficient of variation both men age 20 - 29 and men age 60 -69

To start with;

The coefficient of men age 20 -29

Let's first find the mean and standard deviation before we can do that ;

SO .

Mean = [tex]\dfrac{\sum \limits^{n}_{i-1}x_i}{n}[/tex]

Mean = [tex]\frac{117+122+129+118+131+123}{6}[/tex]

Mean = [tex]\dfrac{740}{6}[/tex]

Mean = 123.33

Standard deviation  [tex]= \sqrt{\dfrac{\sum (x_i- \bar x)^2}{(n-1)} }[/tex]

Standard deviation =[tex]\sqrt{\dfrac{(117-123.33)^2+(122-123.33)^2+...+(123-123.33)^2}{(6-1)} }[/tex]

Standard deviation  = [tex]\sqrt{\dfrac{161.3334}{5}}[/tex]

Standard deviation = [tex]\sqrt{32.2667}[/tex]

Standard deviation = 5.68

The [tex]coefficient \ of \ variation = \dfrac{standard \ deviation}{mean}*100[/tex]

[tex]coefficient \ of \ variation = \dfrac{5.68}{123.33}*100[/tex]

Coefficient of variation = 4.6% for men age 20 -29

For men age 60-69 now;

Mean = [tex]\dfrac{\sum \limits^{n}_{i-1}x_i}{n}[/tex]

Mean = [tex]\frac{ 130 + 153 + 141 + 125 + 164 + 139}{6}[/tex]

Mean = [tex]\dfrac{852}{6}[/tex]

Mean = 142

Standard deviation  [tex]= \sqrt{\dfrac{\sum (x_i- \bar x)^2}{(n-1)} }[/tex]

Standard deviation =[tex]\sqrt{\dfrac{(130-142)^2+(153-142)^2+...+(139-142)^2}{(6-1)} }[/tex]

Standard deviation  = [tex]\sqrt{\dfrac{1048}{5}}[/tex]

Standard deviation = [tex]\sqrt{209.6}[/tex]

Standard deviation = 14.48

The [tex]coefficient \ of \ variation = \dfrac{standard \ deviation}{mean}*100[/tex]

[tex]coefficient \ of \ variation = \dfrac{14.48}{142}*100[/tex]

Coefficient of variation = 10.2% for men age 60 - 69

Thus; Option C is correct.

Men aged 20-29: 4.6%

Men aged 60-69: 10.2 %

There is substantially more variation in blood pressures of the men aged 60-69.

The table shows input and output values of the function y = x2 + 12x – 2. What is an approximate solution of the equation x2 + 12x – 2 = 0?

Answers

Answer:

The solutions for the equations are x = 0.1644 and x = -12.1644

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]\bigtriangleup = b^{2} - 4ac[/tex]

In this question:

[tex]x^{2} + 12x - 2 = 0[/tex]

So

[tex]a = 1, b = 12, c = -2[/tex]

[tex]\bigtriangleup = 12^{2} - 4*1*(-2) = 152[/tex]

[tex]x_{1} = \frac{-12 + \sqrt{152}}{2} = 0.1644[/tex]

[tex]x_{2} = \frac{-12 - \sqrt{152}}{2} = -12.1644[/tex]

The solutions for the equations are x = 0.1644 and x = -12.1644

Sophie Ruth is eating a 50-gram chocolate bar which contains 30 percent cocoa.
How many grams of cocoa are in the chocolate bar?
grams

Answers

Answer: 15 grams are in the chocolate bar.

hope it helps :] !!!!!!

Answer:

15 grams  hope this helps

Old McDonald has a farm with 36 cows and goats the number of cars he has 10 more than the number of coats how many of each animal does old McDonald have right to equations you think you solve the problem you see to represent the number of cars in on

Answers

Answer:

13 goats and 23 cows

Step-by-step explanation:

Use x to solve :) it's a hint

Answer:

g=goats

c=cows

a=cars

g + c = 36

10 + g = a

Step-by-step explanation:

the number of cows and goats together are equal to 36, so for the first equation you can write g + c = 36.

For the second equation, the number of cars he has is equal to the number of goats he has plus 10, so you can express that as 10 + g = a. (I used a since I already used c for the cows)

I think this is what you need if you need 2 equations to represent how many cars he has.

I'm not entirely sure what its asking you can comment if you need more or something else.

Some smells are perceived as being more feminine or more masculine. Researchers asked a random sample of 300 American adults to score quantitatively the perceived gender-orientation of lavender. Smaller scores indicate a more feminine scent and larger scores a more masculine scent. In this design, a gender-neutral scent would have a perceived gender-orientation score of 12. The participants gave the scent of lavender an average score of 10.28

a. Is this evidence that the scent of lavender is not gender-neutral, on average? State H0cap h sub zero and Hacap h sub a in the corresponding test, indicating what the parameter in your hypotheses is.

b.The researchers report that "p<.01p less than full stop 01 (2-tail)" for this test. Explain the meaning of "p<.01p less than full stop 01" and "2-tail."

c.Assuming that the conditions for inference were met, conclude in the context of this study.

Answers

Answer:

a) We are told smaller scores indicate a more feminine scent and larger scores a more masculine scent, also a score of 12 represents a gender-neutral scent.

Here the average from the sample for lavender is 10.28

To test for the evidence that lavender is not gender neutral on average, the null hypothesis H0 would take that lavender is gender-neutral, while the alternative hypothesis would take that the score of lavender is not gender neutral. We now have the null and alternative hypotheses as:

H0 : u = 12

H1 : u ≠ 12

Here, u represents the mean gender-orientation score for lavender. The alternative is two sided because we want to test if lavender is not gender neutral. Which means lavender might be more masculine of more feminine.

b) Given: p < 0.01 (2 tailed)

This means the p-value is less than level of significance 0.01.

Since the pvalue is less than the level of significance, we reject null hypothesis H0. This means there is sufficient evidence to conclude that the smell is not gender-neutral.

There is no reason to prefer a particular gender, that's why this is a two tailed hypothesis.

c) c.Assuming that the conditions for inference were met, which means the p-value is less than 0.01 so the null hypothesis H0 is rejected.

The conlusion would be that there is enough evidence to conclude that lavender is not gender-neutral

Let mu denote the true average number of minutes of a television commercial. Suppose the hypothesis H0: mu = 2.1 versus Ha: mu > 2.1 are tested. Assuming the commercial time is normally distributed, give the appropriate rejection region when there is a random sample of size 20 from the population and we would like to test at the level of significance 0.01. Let T be the appropriate test statistic.
A, T > 2.539
B. > 2.845
C. T> .528D. T >2.861

Answers

Answer:

A. T > 2.539

Step-by-step explanation:

We have a hypothesis test of the mean, with unknown population standard deviation.

The hypothesis are:

[tex]H_0: \mu = 2.1 \\\\H_a: \mu > 2.1[/tex]

From the hypothesis we can see that the test is right-tailed, so the critical value of t should be a positive value.

The degrees of freedom can be calculated as:

[tex]df=n-1=20-1=19[/tex]

The significance level is 0.01, so the critical value tc should be the one that satisfies:

[tex]P(t>t_c)=0.01[/tex]

Looking up in a t-table, for 19 degrees of freedom, this critical value is tc=2.539.

Find the value of x in the triangle shown below.
8
3

Answers

Answer:

[tex] \sqrt{55}[/tex]

Step-by-step explanation:

Given is a right angled triangle.

Therefore, by Pythagoras theorem:

[tex] {x}^{2} = {8}^{2} - {3}^{2} \\ = 64 - 9 \\ = 55 \\ x = \sqrt{55} [/tex]

There are 560 third- and fourth-grade students in King Elementary School. If there are 80 more third-graders than fourth-graders, how many third-graders are there in the school? work has to be shown

Answers

Answer:

There are 200 4th grades and 360 third graders

Step-by-step explanation:

560/2=280-80=200 280+80=360

pls help i give brainliest

you buy a bag of crisps in an airport.After take off you take the crisps out of your ruck sack why has the bag expanded

Answers

Answer:

Step-by-step explanation:

there is a pressure difference between inside and outside the container and if the — bag, bottle, whatever — is flexible enough it will either expand as the ambient air pressure decreases when climbing or collapse when the aircraft is descending and the pressure is increasing.......

this is ur answer ....

Simplify (20!+21!+22!)/44

Answers

Answer:

11*20!

Step-by-step explanation:

(20!+21!+22!)/44=

20!(1+21+21*22)/44=

20!(22+22*21)/44=

20!*22*22/44= 11*20!

The simplified expression of (20!+21!+22!)/44 is 20! * 11

How to simplify the expression?

The expression is given as:

(20!+21!+22!)/44

The factorial of a number n is:

n! = n * (n - 1)!

So, we start by expanding 22!

(20!+21!+22!)/44 = (20!+21!+22 * 21 * 20!)/44

Next, we expand 21!

(20!+21!+22!)/44 = (20!+21 * 20!+22 * 21 * 20!)/44

Factor out 20!

(20!+21!+22!)/44 = 20! * (1 + 21 + 22 * 21)/44

Evaluate the expression in the bracket

(20!+21!+22!)/44 = 20! * 484/44

Divide

(20!+21!+22!)/44 = 20! * 11

Hence, the simplified expression of (20!+21!+22!)/44 is 20! * 11

Read more about simplified expression at:

https://brainly.com/question/723406

#SPJ6

(AAAA HELP PLS XD WILL MARK BRAINLIEST) Nhia is setting up a marble tournament for the kids in her
apartment complex. So far, 47 kids have signed up to play. Each
player needs 10 marbles. Nhia found a discount store that sells
bags of 24 marbles. Round each amount to the nearest ten to find
a reasonable estimate for the number of bags of marbles Nhia will
have to buy to be sure to have enough marbles.
A) 18
B) 25
C) 32
D) 39

Answers

Given that we have 47 kids and each kid needs 10 marbles, find out how many bags of 24 marbles will we need.

First, we will multiply 47 by 10 to get the amount of marbles needed.

47 x 10 = 470

So, that means we need 470 marbles in total.

Then, we divide 470 by 24 to see how many bags of 24 marbles 470 marbles is.

470 / 24 = 19.5833

Since, we can't have 19.5833 bags, we have to check what it would be if we only used 19.

19 x 24 = 456

470 - 456 = 14

Since, 18 is the closest number of bags but it has less than 470 it would not be correct.

Therefore, the best answer would be B. 25 since it is better to have extra marbles but not a very wide margin.

Can someone help me with this is the hardest one by far

Answers

Answer:

10 units

Explanation:

Create a right triangle, determine the a and b side lengths of the triangle by looking at the graph. (See image)

Then use the Pythagorean theorem to find c.

a² + b² = c²

(8)² + (6)² = c²

64 + 36 = c²

100 = c²

Square root both sides to get c.

[tex]\sqrt{100}[/tex] = c

10 = c

The ratio between the exterior and interior angle of a regular polygon is 1:5, find
a. the measure of each exterior angle.
b. the measure of each interior angle.
c. the number of sides of the polygon.

Answers

Answer:

Exterior and interior angles are supplementary, meaning they sum to 180 degrees. If the exterior and interior angles are x and 5x respectively, we can write x + 5x = 180, and solving for x we get x = 30°. This means that the answer to a) is 30° and the answer to b) is 30 * 5 = 150°.

For c), to find the number of sides we can do:

180 - 150 = 30

180 / 30 = 6 so the answer to c) is 6.

Dan earns £388 over the course of a five-day week. How much is that per day?

Answers

Answer:

£77.6 per day

Step-by-step explanation:

388/5 = 77.6

Answer:

£77.60

Step-by-step explanation:

388/5=77.6

but remember that this is money so add the 0.

What is the insignificant digit in 0.09040?

Answers

Answer:

0

Step-by-step explanation:

The 0, or the last digit is the insignificant digit because it serves no purpose.

Answer:

The last zero in the number is insignificant.

Step-by-step explanation:

The 0 at the extreme right indicates that the number is accurate to the fifth decimal place, that is, one in ten thousandths.

A paper company produces 4,675 notebooks in 5 days. How many notebooks can it produce in 13 days?
OA. 12,155
OB. 2,431
OC. 4,473
OD. 12,100

Answers

Answer:

OA. 12,155

Step-by-step explanation:

A paper company produces 4,675 notebooks in 5 days. How many notebooks can it produce in 13 days?

--------

in 5 days= 4675

in 13 days= 4675/5*13= 12155

Answer

A OR D

Step-by-step explanation:

An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown. Which best describes the range of possible values for the third side of the triangle? A x 18.9 B 12.5 26 D 6 < x < 26

Answers

Solution:

12.5 < x < 18.9

Reason:

To solve this problem, we can apply Pythagorean's theorem.

To find the upper bound:

We can set the two given legs as the 2 legs of a right triangle. This allows us to keep the angle under 90 degrees. So if we set the legs to be 10 and 16, then the third side must be:

10^2 + 16^2 = x^2

x^2 = 356

x is roughly equal to 18.9

For the lower bound, this time, we set x as one of the legs, and 10 as the other let. Since we know that the longest side is 16, we can set up an equation again:

x^2 + 10^2 = 16^2

x^2 = 16^2 - 10^2

x^2 = 156

x is roughly equal to 12.5

So we have found the bounds to be 12.5 < x < 18.9

Answer:

its B

Step-by-step explanation:

Other Questions
1.) A school wants to have a metal gate placed around it. However they only want to cover three sides of the school and they only have 2000 feet of gate. What are the dimensions of the school if the area is 240,000 square feet?2.) A backyard is in the shape of a rectangle. The distance around the yard is 280 feet and it has an area of 2,400 square feet. What are the dimensions of the yard? write a letter to my supervisor about bad behavior in class and we will not say any bad words in online class Print Job Cost Calculator (10 points) Filename: PrintJobCost.java Write a program that asks the user to enter a string that encodes a print job. The string has this format: "Papersize ColorType Count" PaperSize, colorType and count are separated by exactly one space. The first part of the string represents the size of the paper used: Paper Size (string) Cost per Sheet ($) "Letter" 0.05The second part of the string represents the color of the printing. This cost is added to the cost of the paper itself Printing Type (string) Cost per Sheet($) "Grayscale" 0.01 "Colored" 0.10 The program computes and prints the total cost of the current printing job to two decimal places to the right of the decimal point. Note: You may assume that all function arguments will be valid (e.g., no negative values, invalid paper sizes, etc.) Several example runs are given below. t Enter print job info: Legal Grayscale 44 Print job cost: $3.08 C Enter print job info: A4 Colored 4 Print job cost: $0.62 t Enter print job info: Letter Grayscale 32 Print job cost: $1.9 Combine like terms in the expression -5x + 2y + 5x 8y.A. 10x 6yB. -10x + 6yo c." byD. -10% 10y Darcy looks up to the supermodels she sees in her favorite magazines. She dreams of the day that she can be as thin and happy-looking as themodels are. Darcy begins extreme dieting and falls into a habit of perfectionism. What could be an explanation of her habits?0 .Darcy is under the influence of the media's unrealistic beauty standards.B. Darcy is trying to get healthy and eliminate junk food from her life.C. Darcy is dreaming about becoming a model for her favorite magazine.D. Darcy is taking the message of the media as inspiration to improve her self-image. Hello, could you please help me with some ideas? This is the question: List at least five idioms that you have come across in your own life, and indicate both the idiomatic and literal meanings of each of the expressions. The Chief Information Officer (CIO) and the Managing Director (MD) of Illustrious Limited recently had the following conversation regarding the development of a new information system for the company: CIO: The way to go about the analysis is to first examine the old system, such as reviewing key documents and observing the workers performing their tasks. Then we can determine which aspects are working well and which should be preserved. MD: We have been through these types of projects before, and what always ends up happening is that we do not get the new system we are promised. Instead, we get a modified version of the old system. CIO: I can assure you that this will not happen this time. My team just want a thorough understanding of what is working well and what is not. MD: I would feel much more comfortable if we first started with a list of our requirements. We should spend more time determining what exactly we want the system to do upfront. Then your team can come in and determine what portions to salvage if you wish. Just dont constrain us to the old system! Required: a) The CIO and MD have different views on how the system analysis should be performed. Comment on whose position you sympathize with the most. b) What method would you recommend to Illustrious Limited for system analysis? Explain. The Nest by Violet Sorzano Randall squinted up through the trees, trying to gauge the time, but gave up quickly. He should have paid attention when his father taught the family to read the position of the sun. He should have paid attention, too, before sneaking off this morning on his first solo hike, forgetting the whistle his mother stressed he always bring. He pictured his parents now at their camp beneath the tree with the eagles nest, wondering where he was. Randall was wondering the same thing. Lost and out of food, he feared he had but a few hours before darkness closed in, trapping him in the bitter cold with the creatures of the night. He closed his eyes to fight back tears, when he heard it in the distance. Water! His fathers words came flowing into his mind; one tip he actually remembered. If youre ever lost, find a river and follow it. In a flash, he was on his feet, scaling fallen trees, tearing through brush, frantically following the sound. The sky grew darker, but the noise grew louder, and Randall, tired and scared, forged ahead until he found it. He reached the river bank and was mulling his next move when a sudden splash caught his eye. A majestic eagle rose from the water, soaring skyward with a freshly caught fish in its talons. Could it be the same eagle nested above his camp? It glided triumphantly into a high nest a short distance away, eager to greet its family. Randall smiled, equally triumphant, eager to do the same as he followed the eagles flight. In the distance, he saw his mother, his whistle clutched in her hand. Part 1: Under the graphic organizer, type a description of each literary element from the story The Nest. Title, Author, Setting, Protagonist, conflict, Mood, Climax, Falling Action, Resolution, Theme Setting: Protagonist: Conflict: Mood: Climax: Falling Action: Resolution: Theme: Part 2: Using the information in your graphic organizer, write a paragraph in the space below explaining how theme develops in the story "The Nest." Write a topic sentence that mentions the theme, title, and author. Then follow your graphic organizer and write your ideas about how protagonist, antagonist, conflict, falling action and resolution, mood, and setting develop in the story. Be sure to include the theme of the story. End with a sentence that restates your idea about the theme. If each washer has a mass of 4.9 g, then the mass of two washers in kilograms would be . Given that F = ma, and if 4 washers are attached to the string and car instead of 2, then the applied force on the car will be . Identify a pair of perpendicular lines in the given figure. answers: s and t p and q q and t p and t Compute and output compound interest on $1000.00 for 10 years at interest rates of 5%, 6%, 7%, 8%, 9% and 10% This is an exercise in creating nested loops. You must have an inner loop that calculates compound interest via For 1 to 10 amt A denser medium will generally make a sound wave travelfasterthe same speednot at allslower Sophia just graduated from college and is living on her own. She only wants tospend about ten percent of her net income on food. She earns a net income of$2,450 each month. Last week, she tracked her food spending and found shespends about $75 a week on groceries. Is she meeting the ten percent? Identify and explain a cause and effect relationship between what is depicted in the map of Constantinople entitled ""Trade about AD 1000"" and Benjamin of Tudelas description of Constantinople? Find the area of a circle with radius 6 m.Use the value 3.14 for it, and do not round your answer.Be sure to include the correct unit in your answer. Jill drinks 3 glasses of milk each day How many glasses of milk will Jill drink in 1 week ? Explain what it means to have a supportive environment for the rise of a social movement. what is the answer: -4 - 2 During replication, which sequence of nucleotides would bond with the DNA sequence ATCAG? Martin deposits $700 into a savings account that gains interest at a rate of 5.5% annually. If he waits 7 years to withdraw the money, will he have earned more or less money than $275 and by how much?