Determine whether the dilation from the figure on the left to the figure on the right is an enlargement or a reduction. Then find the scale factor of the dilation.

A : Reduction scale factor 1/14
B : Enlargement; scale factor 14
C : Enlargement scale factor 0.5

Answer:

The amount of wood left is 36 9/16 in

Step-by-step explanation:

Here, we want to get the amount of wood left

To calculate this, we have to subtract what is cut and what is wasted from the original total length

So we have what is left as follows;

45 1/2 - 8 7/8 - 1/16

45 1/2 = 91/2

8 7/8 = 71/8

91/2 - 71/8 - 1/16

(728 - 142 - 1)/16

585/16 = 36 9/16 in

Step-by-step explanation:

= (8x² + 9) - (3x² + 2x + 5)

= 8x² + 9 - 3x² - 2x - 5

= 5x² - 2x + 4

Answer:

38 X -12y= (6+2n)x t(4-7) y

38 X-12y = 6 X +2nx + 4 y -7y

38x - 12 Y = 6x + 2nx -3y

32x -9y = 2nx

nx= 16x -4.5y

Answer:

n=16

Step-by-step explanation:

38=6+2n

2n=32

n=16

OR

-12=4-n

-n=-16

n=16

Step-by-step explanation:

[tex]13 - x \leqslant 10[/tex]

[tex]3 \leqslant x[/tex]

pyramid = 9x8x9

rectangle = 7x8x9

total = (pyramid+ rectangle)

length x wide x hight

Answer:  Choice C

1, 3, 6, 8, 10, 12, 13, 13, 16, 18, 19

===========================================================

Explanation:

For each answer choice, there are n = 11 numbers mentioned.

The median will be at slot n/2 = 11/2 = 5.5 = 6, so there are 5 values below the median and 5 values above it. In total, we have 5+1+5 = 11 items overall.

The vertical bar in the box plot represents the median's location. It's at 12, so "12" must be in slot 6 in the answer.

Based on this alone, the answer is between choice A or choice C. These two answers are nearly identical except for one thing: the max for choice A is 20 while the max for choice C is 19.

The answer is choice C because the boxplot shown has the tip of the right whisker at 19, and not 20.

Side note: the data values must be sorted before you can find the median. Luckily, for each answer choice, the values are already sorted for us.

Answer:

It would be Choice C

Step-by-step explanation:

Answer:

x² + 8x + 12

Step-by-step explanation:

see

the length of the entire rectangle = x + 6

breadth of the entire rectangle = x + 2

area of a rectangle = length × breadth

= (x + 6)(x + 2)

= x² + 8x + 12

which is the required polynomial in standard form

Answer:

x^2 + 8x + 12

Step-by-step explanation:

length = x+6

breadth = x+2

ara of rectangle = l*b

=(x+6)(x+2)

=x(x+2) +6(x+2)

=x^2 + 2x + 6x +12

=x^2 + 8x +12

Answer: 60 ft

Step-by-step explanation: If you multiply 6 x 10 = 60 and there both in feet so the answer whould be 60ft

Answer:

11

Step-by-step explanation:

2(x + 1) - 3

Let x= 6

2(6+1) -3

Parentheses first

2(7) -3

Then multiply

14-3

Then subtract

11

Answer:

the answer is c 123 m

bcoz perimeter of Pentagon is sum of 5 sides therefore 123/5 x. 5 = 123

Answer:

The third option; 123m

Step-by-step explanation:

The perimeter of a pentagon = 5S

5*123/5

Cancel the 5's

123m

Answer:-23

Step-by-step explanation:

Step-by-step explanation:

the answer is in the above image

1) angle RQP

2) angle PQR

Answer:

5) 2z - 15 = 9

2z.=9+15

2z =24

z =12

6) 4x-2 = 62°

4x=62°+2°

4x=64°

x=16

Step-by-step explanation:

5).2z-15=9 6).(4x-2°)=62°

2z=9+15 4x=62°+2°

2z=24 4x=64°

z=12 x=16

Answer:

For this type of problem, it is best to use Venn diagrams as shown in the picture. The areas where the circles intersect are the mutual events that occur together. The area where all circles intersect is denoted as x. These are the students who play all sports. Assuming all of the students play sports in the school, all of the numbers in the circles should add up to 405. The remaining area would be the difference. The solution is as follows:

Students who play tennis and hockey: 45 - x

Students who play hockey and softball: 60 - x

Students who play only tennis and softball: 39 - x

Students who only play tennis:

251 - 45 + x - 39 +x -x = x + 167

Students who only play hockey:

157 - x - 45 + x - 60 + x = x + 52

Students who only play softball:

111 - x - 60 + x - 39 + x = x + 12

The sum of all of these should be 405:

45-x+60-x+39-x+x+167+x+52+x+12 = 405

Solving for x,

x = 30

Therefore, there are 30 pupils who play all sports; 15 pupils who play tennis and hockey; 30 pupils who play hockey and softball; 9 pupils who play tennis and softball; 197 pupil who only play tennis; 82 pupils who only play hockey; and 42 pupils who only play softball.

Step-by-step explanation:

Hope this is correct, if it is wrong then please feel free to critique me and I wil correct my mistake(s). I'm sorry in advance if it is incorrect.

Answer: 27.6

Step-by-step explanation:

tan 36 = 1/x

x =1/ tan 36 x = 1.38 which is your apothem

area of pentagon = 5x2x1.38/2 = 6.9

now do 6.9 x 4 = 27.6

The volume of the solid is 27.52 cubic yards

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The given figure is a pentagonal prism

The base length of prism is 2yd

The height of prism is 4 yd

Volume of pentagonal prism V = 1/4 √(5(5+2√5))a²h

a is the base length and h is height

V = 1/4 √(5(5+2√5))4×4

V=27.52

Hence, the volume of the solid is 27.52 cubic yards

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ2

Answer:

Step-by-step explanation:

x * 18 = 113.4

x = 6.3

Answer:

you need to addmission all number

Answer:

y=-90

Step-by-step explanation:

y = kx

45 = k 3

k = 15

~~~~~~~~~~~~

y = 15*-6

y=-90

Answer:

36

We should write a formula for their relationship:

Y = x+42. <- this is what a direct varieation is I believe.

So, when x is -6, y is +42 aka 36

Step-by-step explanation:

Given that,

We are asked to calculate the value of f(7).

Substitute the value of x as 7 in the polynomial to find the value of f(7).

→ f(7) = 10 - 2(7)

→ f(7) = 10 - 14

→ f(7) = -4

Therefore, –4 is the required answer.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\text{D) }t=2[/tex]

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\4 = 3t - 2\\-----------\\\rightarrow 3t - 2 = 4\\\\\rightarrow 3t - 2 + 2 = 4 + 2\\\\\rightarrow 3t = 6\\\\\rightarrow\frac{3t = 6 }{3}\\\\\rightarrow \boxed{t = 2}[/tex]

⸻⸻⸻⸻  

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

tanA = [tex]\frac{5}{12}[/tex]

Step-by-step explanation:

tanA = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{15}{36}[/tex] = [tex]\frac{5}{12}[/tex]

Answer:

With the information provided, we have to assume it was Rob, in the order Rob, Henry, Charles, Dale.

However, we don't know if there were other people in the race that were not mentioned, so we can only say he came in first of those four people.

Answer:

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

The mean is equal to the sum of all numbers divided by the amount of numbers there are. If we represent the mean as m, sum as s, and number of numbers as n, we can write our equation as

m = s/n

Therefore, as we know the mean (7) and number of numbers (4), we can plug those in to find the sum.

7 = s / 4

Multiply both sides by 4

28 = s

We then have our sum. Because we know 3 numbers, and there are 4 total, there is one number left to figure out. Our current sum is 5+7+7 = 19, and we need a sum of 28. The difference between the sums, equivalent to the fourth number, is 28-19=9.

Answer:

5000

Step-by-step explanation:

[tex] \frac{52}{100} = \frac{2600}{x} \\ x = 5000[/tex]

Answer:

D

Step-by-step explanation:

D. Fifty-nine point three zero

In decimals, this idea of zeros that don't add value to a number can be extended to trailing zeros. A trailing zero is any zero that appears to the right of both the decimal point and every digit other than zero.

Answer:

C: isolate the x squared by using inverse operations

Step-by-step explanation:

This method of solving quadratic equation is used when there is only x² term and no x term. Thus;

For example, we have a quadratic equation;

x² - 1 = 80

To solve this by square root method, the first step we have to take is to isolate the x² term by inverse operation which is by addition of 1 to both sides to get rid of the -1 on the left side so that x² can be isolated.