Gloria is digging for fossils at a geological site. She has 120 meters of rope and 4 stakes to mark off a rectangular area. Which set of dimensions will create a rectangle using all the rope Gloria has with her?
12 m × 10 m
50 m × 10 m
60 m × 60 m
45 m × 10 m

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Let's go through each set of dimensions and test them. Keep in mind that two times the sum of the length and width of a rectangle yields the perimeter.

A) 2(12+10)=2(22)=44

B) 2(50+10)=2(60)=120

This works! Therefore, the correct answer is choice B. Hope this helps!

Answer 2

Answer:

the answer is B

Step-by-step explanation:


Related Questions

I’ll mark you brainliest!!! What is the meaning of the y-intercept?

Answers

Answer:

c, it was worth 2 dollars when bought.

Step-by-step explanation:

Answer: D. At year 0 it was worth $4.

Step-by-step explanation:

the x axis is the years (t) and at 0 the price (y axis) was at 4.

The natural resources of an island limit the growth of the population. The population of the island is given by the logistic equation where t is the number of years after 1980. What is the limiting value of the population?

Answers

Answer:

The correct option is (a) 3759.

Step-by-step explanation:

The complete question is:

The natural resources of an island limit the growth of the population. The population of the island is given by the logistic equation [tex]P(t)=\frac{3759}{1+3.94e^{-0.38t}}[/tex]where t is the number of years after 1980. What is the limiting value of the population?

(a) 3759

(b) 23

(c) 761

(d) 1017

Solution:

The limiting value is the value of the function P (t) for t → ∞.

As t → ∞, the expression [tex](3.94e^{-0.38t})[/tex] → 0.

Thus, making the denominator of P (t) 1.

So, the limiting value of the population is, 3759.

Thus, the correct option is (a) 3759.

One circle has a circumference of 123 cm. Another circle has a circumference of 32 cm. What is the ratio of the radius of the
smaller circle to the radius of the larger circle?
3:8
8:3
1:3
3:1

Answers

Answer:

1:3

Step-by-step explanation:

First find the measure of radius for both circles:

Circle 1:

2 x pi x r  = 123

r = 123 divided by 6.28 = 19.58

Circle 2:

2 x pi x r = 32

r = 32 divided by 6.28 = 5.09

So, Ratio:

5.09 : 19.58

Approximately 1:3 ( 6:18)

Answer: 1:3

Step-by-step explanation:

Cir. of the bigger circle = 123 cm

r = C / 2π

r = 123 / 2π = 19.58

Cir of smaller circle = 32 cm

r = 32 / 2π = 5.09

Ratio = 5.09 : 19.58

= 1:3

Can someone please help me with this

Answers

I think its B. 7

Its less than 15 and all the others.

Answer:

it b7

Step-by-step explanation:

Based on the given angle measures, which triangle has side length measures that could be correct? A right triangle is shown. The length of the hypotenuse is 16, the base is 8, and the other side is 13.9. The top angle is 60 degrees and the bottom right angle is 30 degrees. A right triangle is shown. The length of the hypotenuse is 13.9, the base is 8, and the other side is 16. The top angle is 60 degrees and the bottom right angle is 30 degrees. A right triangle is shown. The length of the hypotenuse is 13.9, the base is 16, and the other side is 8. The top angle is 60 degrees and the bottom right angle is 30 degrees. A right triangle is shown. The length of the hypotenuse is 16, the base is 13.9, and the other side is 8. The top angle is 60 degrees and the bottom right angle is 30 degrees.

Answers

Answer:

A right triangle is shown. The length of the hypotenuse is 16, the base is 13.9, and the other side is 8. The top angle is 60 degrees and the bottom right angle is 30 degrees.

Step-by-step explanation:

The measures of the angles of in a triangle should correspond to the length size of the side opposite each angle in a triangle.

In simple terms, this means that the larger the measure of an angle, the longer the length of the side opposite that angle. Therefore, the smallest measure of an the 3 angles in the triangle should correspond with the shortest length.

Therefore, the triangle with the correct side length would be "A right triangle is shown. The length of the hypotenuse is 16, the base is 13.9, and the other side is 8. The top angle is 60 degrees and the bottom right angle is 30 degrees." Check the attachment below to see how each side length corresponds with each angle opposite them.

Answer:

D

Step-by-step explanation:

your welcome

!!!HELP!!!
Determine the equation that will shift the polynomial p(x) = (x - 2)2(x + 5) up 3 units and left 4 units.

A g(x) = (x + 1)2(x + 8) - 4
B g(x) = (x + 1)2(x+4)
C g(x) = (x + 2)2(X + 9) + 3
D g(x) = (x - 6)2(x + 1) + 3

Answers

Answer:

D

Step-by-step explanation:

you have to replace x by x-4 and add 3

(x-4-2)^2(x-4+5)+3=(x-6)^2(x+1)+3

Emmet has $90 in a savings account that earns 10% interest, compounded annually.
To the nearest cent, how much interest will he earn in 3 years?

Answers

Answer:

108.90

Step-by-step explanation:

You start with finding  

10

%

of  

90

.

$

90

.1

=

$

9

You add the money and the interest to get  

$

99

for the first year. However, the next year is different. It's compound interest, so you have to multiply  

10

%

by  

$

99

.

$

99

.1

=

$

9.90

$

99

+

$ 9.90

= $  108.90   The total would then be  $

108.90  i think lol

Work out the area of this circle with a radius of 6mm. Give your answer in terms of pi

Answers

Answer:36π mm^2

Step-by-step explanation:

Formula for area of a circle =

πr^2

r=6mm

π*6^2

π*36

36π mm^2

Answer:

36 π mm²

Step-by-step explanation:

r= 6 mm

A= πr²

A= π* 6²= 36 π mm²

Looking at twentieth century mathematicians 1900 to 1999, what is the surname of the Iranian-born mathematician who won the highest honour in mathematics, the Fields Medal?

Answers

Answer: Maryam Mirzakhani

Step-by-step explanation:

Please help me it takes so long to do this please

Answers

Answer:

x = 117°

Step-by-step explanation:

The angle inside the triangle and 101° are adjacent and supplementary, thus

angle inside triangle = 180° - 101° = 79°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle , thus

x = 38° + 79° = 117°

Answer:

x = 117

Step-by-step explanation:

Exterior angle is equal to the sum of opposite interior angles

101 = 38 + y(unknown interior angle)

y = 101-38

y = 63

Now,

x = 180-y (Angles on a straight line)

x = 180-63

x = 117

What are the measures of angles M and N?
m m m m < M = 119° and m

Answers

Answer:

m<M = 113 deg

m<N = 61 deg

Step-by-step explanation:

In an inscribed quadrilateral, opposite angles are supplementary.

m<M + m<K = 180

m<N + m<L = 180

m<M + 67 = 180

m<M = 113

m<N + 119 = 180

m<N = 61

Some one help me pls asp

Answers

Answer:

C

Step-by-step explanation:

[tex]\csc \theta= 1\dfrac{1}{4} \\\\\\\dfrac{1}{\sin\theta}=\dfrac{5}{4}[/tex]

Take the reciprocal of both sides:

[tex]\sin \theta =\dfrac{4}{5}[/tex]

You can now imagine a right triangle where the length of the side opposite this angle has a length of 4 and the hypotenuse has a length of 5. The third side by the Pythagorean theorem must therefore have a length of 3. The cosine of an angle is the length of the adjacent side divided by the length of the hypotenuse, or in this case:

[tex]\pm \dfrac{3}{5}[/tex]

Therefore, the correct answer is choice C. Hope this helps!

Evaluate the expression 3.14(a2 + ab) when a = 4 and b = 2. (Input decimals only, such as 12.71, as the answer.) will pick brainleiest!

Answers

Answer:

75.36

Step-by-step explanation:

3.14 (a2 + ab)

Substitute a = 4 and b = 2 into the equation:

3.14 (4^2 + 4*2)

= 3.14 (16 + 8)

= 3.14 (24)

= 75.36

Answer:

75.36

Step-by-step explanation:

=> (3.14)(a²+ab)

Putting a = 4, b = 2

=> [tex](3.14)[(4)^2+(4)(2)][/tex]

=> [tex](3.14)(16+8)[/tex]

=> [tex](3.14)(24)[/tex]

=> 75.36

What is the sum of StartRoot negative 2 EndRoot and StartRoot negative 18 EndRoot?
4 StartRoot 2 EndRoot
4 StartRoot 2 EndRoot i
5 StartRoot 2 EndRoot
5 StartRoot 2 EndRoot i

Answers

Answer:

B. 4 StartRoot 2 EndRoot i

Step-by-step explanation:

Given the surd function √-2 and √-18, we are to fund the sum of both values.

Taking the sum:

= √-2 + √-18

= (√2 * √-1)+ (√18 *√-1)

from complex numbers, √-1) = i

The expression becomes

= √2 i+ √18 i

= √2 i+ √9*2 i

= √2 i+ 3√2 i

= 4 √2 i

= √-2 + √-18 = 4 √2 i

The result is 4 StartRoot 2 EndRoot i

Answer:

its b

Step-by-step explanation:

HELP! 7th grade math! GIVE CORRECT ANSWER AND YOU WILL GET BRAINLIEST!!

Answers

Answer:

The lines are parallel

Step-by-step explanation:

x - y = 2

Solving for y

-y = -x+2

y = x -2

And the other equation is

y = x+1

These are both in slope intercept form

We notice that the slopes are both 1, but the y intercepts are different

That means the lines are parallel, but have different y intercepts

En un consultorio medico infanfil se consultas mensualmente a 160 pacientes si la razon de cada 8 paciente 5 son niñas A ¿cuantos niños se connsulta al mes ?

Answers

Answer: 60 of the patients are boys.

Step-by-step explanation: According to what is described, 5 in 8 patients are girls, then: 8 - 5 = 3, i.e., 3 in 8 are boys.

Mathematically the proportionality is [tex]\frac{3}{8}[/tex]

If 160 patients have appointments per month and [tex]\frac{3}{8}[/tex] are boys:

160.[tex]\frac{3}{8}[/tex] = 60

Per month, 60 boys have appointments at the medical office.

Raphael graphed the function g(x)=x+2 and f(x)=x-1. How many units below the y intercept of g(x) is the y intercept of f(x)

Answers

Answer:

3

Step-by-step explanation:

If you take the y-intercept of x+2 and the y-intercept of x-1 and graph them, count the number of units in between them and you should see that your answer is 3

Answer:

D) 3 units

Step-by-step explanation:

Kanu and Ikedi shared 270 in such a way that 2/5 of Ikedi's share is equal to 1/2 of kanu's. Find their shares.

Answers

Answer:

Step-by-step explanation:

We'll solve this with a system of equations. The first equation says that K's shares plus I's shares total 270; therefore,

K + I = 270

The second equation talks about the ratios of their shares.

2/5 I = 1/2 K We'll solve for K by multiplying both sides by 2:

4/5 I = K Now we'll sub that in for K to the first equation:

[tex]\frac{4}{5}I+I=270[/tex] and

[tex]\frac{4}{5}I+\frac{5}{5}I=270[/tex] and

[tex]\frac{9}{5}I=270[/tex] Now we'll solve for I, the number of shares that Ikedi has. Multiply both sides by 5 to get

[tex]9I=1350[/tex]  then divide both sides by 9 to get

[tex]I=150[/tex]

Ikedi has 150 shares. Sub that back into the first equation to solve for K:

K + 150 = 270 so

K = 120

Which ordered pairs are in the solution set of system of linear inequalities?
A:(5,-2),(3,1),(-4,2)
B:(5,-2),(3,-1),(4,-3)
C:(5,-2),(3,1),(4,2)
D:(5,-2),(-3,1),(4,2)

Answers

Answer:

Option (3)

Step-by-step explanation:

There are two inequalities graphed in the figure attached.

1). Solid line having shaded above the solid line (passing through origin) will be represented by the equation,

[tex]y\geq -\frac{1}{2}x[/tex]

2). Another dotted line having shaded area below the line will be represented by the inequality,

[tex]y<\frac{1}{2}x+1[/tex]

Common shaded area of these inequalities will be the solution area.

All the ordered pairs lying in this area will be the answer.

In the given options,

Ordered pairs given in Option (3) lie in the common shaded area.

Answer:

C

Step-by-step explanation:

got it right

PLEASE HELP AS SOON AS POSSIBLE !!

Answers

Answer:

D

Step-by-step explanation:

(160x243)^1/5=8.27

D also equivalates to 8.27

Answer:

so the answer for that is D.

Step-by-step explanation:

160 X 243= 38880

38880^.2 (or 1/5) = 8.27

D. 5 carrot thing 5= 1.379..x 6= 8.27

please help. first one gets brainliest :D

Answers

Answer:

Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equation represents the amount of money in Josiah’s account, y, after x years?

y = 360(1.3)x

y = 360(0.3)x

y = 360(0.03)x

y = 360(1.03)x

Step-by-step explanation:Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equation represents the amount of money in Josiah’s account, y, after x years?

y = 360(1.3)x

y = 360(0.3)x

y = 360(0.03)x

y = 360(1.03)x

Answer:

15 days

solution,

Given that if M1 persons can do a work in N1 days working T1 hours per day and M2 persons can do the same work in N2 days,working T2 hours per day,then

M1 N1 T1=M2 N2 T2

we have,

M1=5 , N1=16 , T1=6

M2=8 , N2=? , T2=4

Now,

[tex]5 \times 16 \times 6 = 8 \times n2 \times 4 \\ \\ \frac{5 \times 16 \div 6}{8 \times 4} = n2 \\ n2 = 15 \: days[/tex]

hope this helps...

Good luck on your assignment..

x-1 divided by X^3-3x^2-x+3

Answers

Answer:

1 / (x + 1)(x - 3).

Step-by-step explanation:

x^3-3x^2-x+3

= x^2(x - 3) - 1(x - 3

= (x^2 - 1)(x - 3)

= (x - 1)(x + 1)(x - 3)

So x - 1 divided by  x^3 - 3x^2 - x + 3

= (x - 1) /  (x - 1)(x + 1)(x - 3)

= 1 / (x + 1)(x - 3).


PLEASE HELP MEEEEEEE THANK YOU
Choose the best answer: The solution of ? includes the entire line y = 2x + 1.


y 2x + 2

y 2x + 1

y < 2x

y 2

Answers

Answer:

the correct one is y < 2x

Step-by-step explanation:

Answer:

y  2x + 1 or B

Step-by-step explanation:

thats whats right on edge

What expression represents the value of v?

Answers

Answer:

D

Step-by-Step Explanation:

Please refer to the attachment.

As shown, when deconstructing the (largest) right triangle, we get two similar triangles.

Remember that corresponding sides of similar are proportional. Therefore, we can write the following proportion:

[tex]\displaystyle \frac{v}{w+z}=\frac{z}{v}[/tex]

Cross-multiply to produce:

[tex]z(w+z)=v^2[/tex]

And taking the square root of both sides gives:

[tex]v=\sqrt{z(w+z)}[/tex]

Therefore, our answer is D.

Answer:

It is D (v=Square root of ((w)(w+z))

Step-by-step explanation:

I just took the test and got it right.

Proof is right here:

The third term in a sequence is 11.
The term-to-term rule is "take away 4".
Write an expression, in terms of n, for the nth term of the sequence.

Answers

Answer:

sequence is 19, 15, 11 ....

so nth term is : -4n+(19+4)

therefore : -4n + 23

Answer:

-4n + 23

Step-by-step explanation:

if x√3=30 then what is x

Answers

Answer:

x = 10 sqrt(3)

Step-by-step explanation:

x√3=30

Divide each side by the sqrt(3)

x sqrt(3) / sqrt(3) = 30/ sqrt(3)

x = 30 / sqrt(3)

x = 30 / sqrt(3) * sqrt(3)/ sqrt(3)

x = 30 sqrt(3)/3

x = 10 sqrt(3)

What is the minimum number of triangles needed to construct a hexagon?

Answers

Answer:

Please the answer is option d.

Hope this helps.

Answer:

the minimum number of triangle needed to construct a hexagon is 6

What is the slope of the line on the graph below 1/5 1/3 3 or 5

Answers

Answer:

1/3

Step-by-step explanation:

We are given to find the slope of the line shown on the graph.

We note that

the line on the graph passes through the points (3, -4) and (6, -3).

The slope of a straight line passing through the points (a, b) and (c, d) is given by

m=\dfrac{d-b}{c-a}.m=

c−a

d−b

.

Therefore, the slope of the given line is

\begin{lgathered}m=\dfrac{-3-(-4)}{6-3}\\\\\\\Rightarrow m=\dfrac{-3+4}{3}\\\\\\\Rightarrow m=\dfrac{1}{3}.\end{lgathered}

m=

6−3

−3−(−4)

⇒m=

3

−3+4

⇒m=

3

1

.

Thus, the required slope of the line is \dfrac{1}{3}.

3

1

.

Option (B) is CORRECT.

The mean of a set of 10 numbers is 16. Two of the numbers (7 and 13) are removed. What is the mean of the 8 remaining numbers?

Answers

Answer:

17.5

Step-by-step explanation:

10 x 16=160. The sum of the numbers is 160.

7 + 13 = 20.

160-20=140.

Now, divide by 8.

17.5

:D

650 pounds to dollars

Answers

Answer:

811.49 in United States dollars

Step-by-step explanation:

The answer is above

Answer:

811.49 us dollars

Step-by-step explanation:

1 sterling pound = 1.25 us dollars

650 pounds = 1.25*650 dollars

= 811.49

Other Questions
Consider the following intermediate chemical equations.(IMAGE) -205.7 kJ -113.4 kJ -14.3 kJ 78.0 kJ What is the ratio of the area of ABC to the area of ABD? 1. Should graffiti be taken from the streets and sold on the art market? Why or why not? Write a method that finds the cheapest name of apples, and returns back a String stating what the apple name is and how much it costs. The method should take two arrays as two parameters (you do not need to make a two dimensional array out of these arrays). Problem 18-7A Break-even analysis with composite units LO P4 Patriot Co. manufactures and sells three products: red, white, and blue. Their unit selling prices are red, $20; white, $35; and blue, $65. The per unit variable costs to manufacture and sell these products are red, $12; white, $22; and blue, $50. Their sales mix is reflected in a ratio of 5:4:2 (red:white:blue). Annual fixed costs shared by all three products are $250,000. One type of raw material has been used to manufacture all three products. The company has developed a new material of equal quality for less cost. The new material would reduce variable costs per unit as follows: red, by $6; white, by $12; and blue, by $10. However, the new material requires new equipment, which will increase annual fixed costs by $50,000. Required: 1. Assume if the company continues to use the old material, determine its break-even point in both sales units and sales dollars of each individual product. 2. Assume if the company uses the new material, determine its new break-even point in both sales units and sales dollars of eac individual product. Find the sum of the digits of the number 6+66+666+6666 + ... +666...66, where the last number contains 100 digits. HELP!!!!!! PLZZZ!!!!!HELPPPP Use the price-demand equation p plus 0.005 x equals 46, 0 less than or equals p less than or equals 46. Find the elasticity of demand when pequals$22. If the $22 price is decreased by 12%, what is the approximate percentage change in demand? Please help need to know the answer to this supposedly is 9 + (9x36) 333 but I dont get it cereal is on sale for $3.60 for a 9-ounce box. what is the price per ounce? identical twins look alike because their bodies contain identical The following information is available for Sweet Dreams Company: Sales $ 175,000 Operating expenses $ 161,000 Operating assets $ 50,000 Stockholders equity $ 43,750 Cost of capital 11 % What is Sweet Dreams Company's return on investment (ROI)? What is a question you can ask when analyzing the structure of a text? How soil deprived of its mineral and nutrients? How can it get back. Which examples of propaganda are found in this passage? Select two options. Reception devices pick up the variation in the electric field vector of the electromagnetic wave sent out by the satellite. Given the satellite specifications listed in the problem introduction, what is the amplitude E0 of the electric field vector of the satellite broadcast as measured at the surface of the earth? Use 0=8.851012C/(Vm) for the permittivity of space and c=3.00108m/s for the speed of light. True or False? Precipitation can be in the form of liquid or solid water? Drag each tile to the correct box.Match the events that occurred during the English Reformation to their causes. who performed the coin and feather experiment? Write an expression using fractions to determine the amount that each person will pay then calculate each person's contributions showing all steps in long division