A gallon of paint covers 400 square feet. How many square feet will 2 __ 3 8 gallons of paint cover?

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

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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:-23

Step-by-step explanation:

Step-by-step explanation:

= (8x² + 9) - (3x² + 2x + 5)

= 8x² + 9 - 3x² - 2x - 5

= 5x² - 2x + 4

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.

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

pyramid = 9x8x9

rectangle = 7x8x9

total = (pyramid+ rectangle)

length x wide x hight

Answer:

5000

Step-by-step explanation:

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

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:

[tex]X=12.125\%[/tex]

Step-by-step explanation:

From the question we are told that:

Cost Price [tex]CP=734[/tex]

Sale Price [tex]SP=823[/tex]

Generally the equation for Profit  P is mathematically given by

 [tex]Profit=SP-CP[/tex]

 [tex]P=823-734[/tex]

 [tex]P=89[/tex]

Therefore as a percentage

Percentage Profit X is given as

 [tex]X=\frac{89}{734}*100[/tex]

[tex]X=12.125\%[/tex]

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:

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:

you need to addmission all number

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:

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:

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]

Answer:

sorry

i

dont

know

how

to

do

it

Step-by-step explanation:

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

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.  

1) angle RQP

2) angle PQR

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:

Step-by-step explanation:

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

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.

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:

Step-by-step explanation:

the answer is in the above image

Answer:

Option B.

Step-by-step explanation:

For a general function f(x), a vertical stretch of scale factor K is written as:

g(x) = K*f(x)

Also, for definition, we usually define:

for K > 1, this is an "stretch" or "dilation"

for 0 < K < 1, this is a "contraction"

Here we have:

f(x) = ∛(x + 4)

We want to find an option that is a vertical stretch from this:

So we want something like:

g(x) = K*∛(x + 4)

With K > 1

Then the correct option is B, where we have K = 2, so this is a vertical stretch of scale factor K = 2.