Solve for r in the triangle. Round your answer to the nearest tenth.

Answer:

D: -1/12

Step-by-step explanation:

Answer:

1/7

Step-by-step explanation:

The slope is given by

m= (y2-y1)/(x2-x1)

   = (-5- -4)/(1-8)

   = (-5+4)/(1-8)

   =-1 /-7

 1/7

Answer:

C

Step-by-step explanation:

[tex](a^{-2}\cdot 8^7)^2= \\\\a^{-2\cdot 2}\cdot 8^{7\cdot 2}= \\\\a^{-4}\cdot 8^{14}[/tex]

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

Answer:

its D

Step-by-step explanation:

i was to dumb and answered it wrong and it showed that it was d lol

Answer:

See below

Step-by-step explanation:

You have to find the number in the middle of all of the heights and multiply them by the all of the frequency. When you have those answers, add them together and divide the answer by 40. That is why, our answer in part (a) is an estimate.

The mean is the average value of an observation, the mean of the grouped data is 129.3 cm

The mean value can be calculated using the relation :

ΣF = (7 + 8 + 13 + 9 + 3) = 40

Σfx = (7 × 122) + (8 × 126) + (13 × 130) + (9 × 134) + (3 × 138) = 5172

Mean = ΣFx /ΣF

Mean = 5172 / 40 = 129.3 cm

B.)

The mean value obtained is an estimate because, calculation used the midpoint value existing within a certain range, and not the exact height value of individual student.

Learn more :https://brainly.com/question/17007926

Answer:

Option (B)

Step-by-step explanation:

Given shed is a composite figure having a rectangular solid at the base and a triangular prism on the top.

Volume of the shed = Volume of the rectangular prism + Volume of the triangular prism

Volume of the rectangular prism = length × width × height

                                                      = 5 × 2 × 3

                                                      = 30 m³

Volume of the triangular prism = Area of the base × height of the prism

                                                   = [tex]\frac{1}{2}(\text{Base})(\text{height of the triangular bsae})[/tex] × height of the prism

                                                   = [tex][\frac{1}{2}(5)(1.6)]\times 2[/tex]

                                                   = 8 m³

Volume of the shed = volume of the rectangular prism + volume of the triangular prism

                                 = 30 + 8

                                 = 38 m³

Therefore, Option (B) will be the answer.

Answer:

-0.75

Step-by-step explanation:

3 ÷ 4 = 0.75

0.75 * -1 = -0.75

Answer:

(-1, 1)

Step-by-step explanation:

I used a graphing tool to graph the equations. When graphed, they cross at coordinate (-1, 1). Therefore, (-1, 1) is the solution.

Answer:

D

Step-by-step explanation:

Since the triangle has 2 congruent sides then the triangle is isosceles and the base angles are congruent.

base angle = [tex]\frac{180-94}{2}[/tex] = [tex]\frac{86}{2}[/tex] = 43°

The external 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 = 94 + 43 = 137 → D

Answer:

let y be the angles in the triangle

Angles in a triangle add up to 180

Since both angles are equal

94 + y + y = 180

2y = 180 - 94

2y = 86

y = 43

For angle x

Angles on a straight line add up to 180

x + y = 180

y = 43

x = 180 - 43

x = 137°

Answer:

The first way is to color only the leftmost box of the three, and the second is to color only the rightmost box. Reference the example if you need further clarification.

Answer: X = 7√2

Step-by-step explanation:

Let first Consider triangle BDC,

Cos C = adjacent/ hypothenus

Cos C = 7 / x ...... (1)

Also, let consider triangle ABC

Cos C = adjacent / hypothenus

Cos C = x / 14 ....... (2)

Since angle C is the same, equate equation 1 to 2

7/ x = x / 14

Cross multiply

X^2 = 98

Make x the subject of formula

X = sqrt (98)

X = sqrt ( 49 × 2 )

X = sqrt (49) × sqrt (2)

X = 7 sqrt(2)

X = 7√2

Answer:

A = 78.5 cm^2

Step-by-step explanation:

The diameter is 10 so the radius is 1/2 of the diameter

r =1/2d = 1/2(10) = 5

The area of a circle is

A = pi r^2

A = 3.14 (5)^2

A = 78.5 cm^2

Answer:

0

Step-by-step explanation:

No matter what value of x you input into this equation, you will get a y value of 3. This means that over infinite run, the line has no rise, and therefore has slope of 0. Hope this helps!

Answer:

The second on I think

Step-by-step explanation:

The missing values in the table are as follows:

Error = 20

Absolute error = 20

Ratio ≈ 0.3077

Percent error ≈ 30.77%

Given information,

Item = Sweaters

Approximate value = 65

Exact value = 85

let's calculate the values of a and b in the table:

Error (a) can be calculated as the difference between the approximate value and the exact value:

a = Exact value - Approximate value

a = 85 - 65

a = 20

Absolute error (b) represents the absolute value of the error:

b = |Error|

b = |20|

b = 20

Ratio is calculated by dividing the error by the approximate value:

Ratio = Error / Approximate value

Ratio = 20 / 65

Ratio ≈ 0.3077 (rounded to four decimal places)

Percent error is calculated by multiplying the ratio by 100:

Percent error = Ratio x 100

Percent error ≈ 0.3077 x 100

Percent error ≈ 30.77% (rounded to two decimal places)

Therefore, the values in the table are as follows:

Item = Sweaters

Approximate value = 65

Exact value = 85

Error = 20

Absolute error = 20

Ratio ≈ 0.3077

Percent error ≈ 30.77%

Learn more about Absolute error click;

https://brainly.com/question/30759250

#SPJ2

Complete question =

Krissy predicted that she would sell 65 sweaters. She actually sold 85 sweaters. What are the values of a and b in the

table below?

Item = Sweaters

Approximate value = 65

Exact value = 85

Error = a

Absolute error = b

Ratio

Percent error

Answer:

Combining like terms is just that, combining numbers in an equation that have the same property. examples would be constants or numbers with the same exponent.

Properties of exponents are when you multiply, add, subtract, or divide exponents.

I hope I helped!

Answer:

1,242,000

Step-by-step explanation:

Answer:

$16.15

Step-by-step explanation:

$8.50/10= $0.85

$8,50 - $0.85 = $7.65

$8.50+$7,65= $16.15

Answer:

D. [tex]x=-1, y=2\frac{2}{3}[/tex]

Step-by-step explanation:

Solving for x:

2x+3y=6

Subtract 3y from both sides

2x= -3y+6

Subtract 6 from both sides

2x-6= -3y

-4x+3y=12

Subtract 3y from both sides

-4x= -3y+12

Subtract 12 from both sides

-4x-12= -3y

Combine equations:

-4x-12=2x-6

Add 4x to both sides

-12=6x-6

Add 6 to both sides

-6=6x

6x= -6

Divide both sides by 6

x= -1

Solving for y:

2x+3y=6

Subtract 3y from both sides

2x= -3y+6

-3y+6=2x

Multiply both sides by -1

3y-6= -2x

Multiply both sides by 2

6y-12= -4x

-4x+3y=12

Subtract 3y from both sides

-4x= -3y+12

-3y+12= -4x

Combine equations:

6y-12= -3y+12

Add 3y to both sides

9y-12=12

Add 12 to both sides

9y=24

Divide both sides by 9

y= [tex]2\frac{2}{3}[/tex]

Answer:

x=−1,y=2  

3

2

​

Step-by-step explanation:

x=-1,y=2 2/3

Answer:

C). y = ln x + 4

Step-by-step explanation:

First off, we can cancel out the [tex]e^{x}[/tex] graphs.

Now looking at the graph, one can see that when x = 1, y = 4.

So for each [tex]ln[/tex] function, plug in 1 for x.

In doing this, one will find that y = ln x + 4 is the only [tex]ln[/tex] graph that produces 4 when x = 1.

Answer:

12

Step-by-step explanation:

The area of a rectangle is l × w.

x × 11/3 = 44

x = 44 × 3/11

x = 12

Answer:

  5

Step-by-step explanation:

The number of cells in a tile is 4, so the board dimension cannot be odd, but must be a multiple of 2 in order to have the number of cells divisible by 4.

If the tiles are colored in an alternating pattern, tiles must have 3 of one color and 1 of the alternate color. Hence the total number of tiles used to cover a board must be even (so the numbers of each color match). Then the board dimension must be divisible by 4.

In the given range, there are 5 such boards:

  4×4, 8×8, 12×12, 16×16, and 20×20

Answer:

D. 1/2

Step-by-step explanation:

Because if you choose A , you get +4

if you choose B ,you get -12

Choose C , you get +20

D is the correct answer.

Answer:

Revolution = 127.24 revolutions

Step-by-step explanation:

Circumference of the tire = πD

Where D = 15 inch

So,

C = 15π = 47.1 inch

In feets:

47.1 inch = 3.93 feet.

So, one revolution = 3.93 feet

Travelling 500 feet will make the following revolutions:

Revolution = 500 feet/3.93 feet

Revolution = 127.24 revolutions

Answer:

B) 3(4+5)=3(4)+3(5)

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Answer:

f(2) = g(2)

Step-by-step explanation:

The output of f(2) is the same exact output for g(2). It is shown were the 2 functions intersect at x = 2. Both output 0.

Answer:

ITS A TRUST ME

Step-by-step explanation:

Answer:

the square root of 91 lies between 9 and 10

The value of the square root of 91 is 9.54 thus the two consecutive whole numbers 9.54 lie in between will be 9 and 10.

The number system is a way to represent or express numbers.

A decimal number is a widespread number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

As per the given square roots,√91

The value of √91 is 9.539

The whole number less than 9.539 is 9 and greater than 9.539 is 10.

Thus, 9 < 9.539 < 10

Hence "The value of the square root of 91 is 9.54 thus the two consecutive whole numbers 9.54 lie in between will be 9 and 10".

For more about the number system,

https://brainly.com/question/22046046

#SPJ5

Answer:

2307 ways

Step-by-step explanation:

Given

Candidates: 5

Men (Applicants): 14

Women (Applicants): 6

Job Positions: 5

Man = 3

Women = 2

Required:

Number of possible outcomes

This question represent selection; i.e. selecting candidates for job positions;  

This question can be solved by using Permutations/Selection formula

Given that 3 man are to be selected from 14 men and 2 women from a total of 6 women

Let M represent Men and W represent Woman

Number of ways = M + W

Calculating M

[tex]M = nPr[/tex]

Substitute nPr with its formular

[tex]M = \frac{n!}{(n-r)!}[/tex]

Where n = 14 men and r = 3 applied

[tex]M = \frac{14!}{(14 - 3)!}[/tex]

[tex]M = \frac{14!}{11!}[/tex]

[tex]M = \frac{14*13*12*11!}{11!}[/tex]

[tex]M = 14*13*12[/tex]

[tex]M = 2184[/tex]

Calculating W

[tex]W = nPr[/tex]

Substitute nPr with its formula

[tex]W = \frac{n!}{(n-r)!}[/tex]

Where n = 6 men and r = 2 applied

[tex]W = \frac{6!}{(6-2)!}[/tex]

[tex]W = \frac{6!}{2!}[/tex]

[tex]W = \frac{6*5*4*3!}{2!}[/tex]

[tex]W = 6*5*4[/tex]

[tex]W = 120[/tex]

Recall that Number of ways = M + W

Number of Ways = 2184 + 123

Number of Ways = 2307

Step-by-step explanation:

for a) on the base of both of the triangle are the same and both of the triangles are right angle and for b) it is because both triangles are SAS (side angle side)

a) the two shorter sides in triangle A have the same length as the two shorter sides in triangle B.

b) Two triangles are congruent.

a) Given, triangles A and B are right-angled.

For triangle A

x² + 12² = 13²

x² + 144 = 169

x² = 169 - 144

x² = 25

x = 5

For triangle B

5² + 12² = y²

25 + 144 = y²

169 = y²

y = 13

Sides of triangle A 5, 12, 13

Sides of triangle B 5, 12, 13

Therefore, the two shorter sides in triangle A have the same length as the two shorter sides in triangle B.

b) All the side of triangle A is equal to equation B

Therefore, two triangles are congruent.

Learn more about Triangle here

https://brainly.com/question/32835874

#SPJ2