1. The prism-shaped roof has equilateral triangular bases. Create an equation that models the height of one of the roof's triangular bases in terms of its sides. In your final answer, include all necessary calculations.
2. The prism-shaped roof has equilateral triangular bases. Use the model you created in question #1 to calculate the height of the roof, to the nearest tenth of a foot, if the side lengths each measure 25 feet. In your final answer, include all necessary calculations.

3. To determine the amount of roofing materials needed, the area of the roof's entire surface is calculated, including the ceiling of the garage. Considering the sketch of the roofing design, create a formula to model the area of the roof's entire surface. In your final answer, include all of your calculations.

4. The contractor in charge of the roofing project is trying to make the job the most cost effective for the homeowners. In order to cut back on the cost of supplies, he decides that a ceiling in the garage is not necessary. In other words, there will not be a barrier built between the garage and the roof. In two or more complete sentences, explain how these changes affect the model for the area of the roof's entire surface.

5. The contractor in charge of the roofing project is trying to make the job the most cost effective for the homeowners. In order to cut back on the cost of supplies, he decides that a ceiling in the garage is not necessary. In other words, there will not be a barrier built between the garage and the roof. Create a formula modeling the area of the roof’s surfaces that the contractor will be purchasing supplies for.

6. Use the formula you created in the previous question to calculate the area of the roof that the contractor will be purchasing supplies for, assuming that the side length of the triangular bases is 25 feet and the length of each rectangular face is twice its width.

Answer:

letter b

Step-by-step explanation:

Answer: The mean rate given by customer is -1.25

Step-by-step explanation:  We are given the following in the question:

-3.5, 4, 4.5, -5.25, -4, -3.25, -4.25, 1.75

Formula:

Putting values, we get,

Thus, the mean rate given by customer is -1.25 you may mark brainliest

Part A:

The mean of the data is 5 because you add all the numbers otgether then divided it by 8 (the number of classmates). 4 + 3 + 4 + 5 + 6 + 6 + 8 + 4 = 40 then divided by 8 is 5.

Answer:

3/7

Step-by-step explanation:

there are 7 sections total. 1,3,5, and 9 are all odd. so, there are still 3 sections left where there there are even numbers (4,6, and 8.) 3+4=7.

3 out of the 7 sections are even. D.

V = 107.52

HOPE ITS HELP

AND MARK ME AS BRAINLIST

Step-by-step explanation: the answer is 53.76 because first of all to find the answer you need to multiply 0.5 or 1/2 times 3.2 times 4.8 times 7 getting an answer of 53.76 cm^3 so hopefully that is the correct answer and have a great day.

Answer:

The answer to your question is 9 cm

Step-by-step explanation:

Data

slant height = 15 cm

height = 12 cm

radius = ?

Process

To solve this problem, use the Pythagorean theorem. The slant height is the hypotenuse, the height is the long leg and the radius is the short leg.

            c² = a² + b²

          slant height² = height² + radius²

-Solve for radius

          radius² = slant height² - height²

-Substitution

          radius² = 15² - 12²

-Simplification

           radius² = 225 - 144

           radius² = 81

-Result

           radius = 9 cm

Answer:

A rectangle

Step-by-step explanation:

graph the points

Answer:

its B and E

edit: i forgot C

Step-by-step explanation:

Answer:

Its B, C, E Are the answers!

Step-by-step explanation:

-lukelaws

Hope I helped if I did please mark me brainliest I need one more!

Answer:

205 bones

Step-by-step explanation:

Add all bones and let the unknown be x

(250+199+85+101+x)/5=168

(635+x)/5=168

Cross multiply

168*5=635+x

840=635+x

840-635=x

x=205.

That's all

The percent decrease in the population is 12%

Percentages are essentially fractions where the denominator is 100.

Given that, the population of a city was 51,000. Several years later it was 44,880.

We are asked to find percent decrease,

Percent decrease = Final element - initial element / initial element x 100

Percent decrease = 44880 - 51000 / 51000 x 100

= -6120 / 51000 x 100

= --0.12 x 100

= -12%

Here, - sign is showing the decrease.

Hence, the percent decrease in the population is 12%

Learn more about percent, click;

https://brainly.com/question/28840349

#SPJ2

Hey there!

2(x - 3) / y = 5

2(x - 3) / 5 = 5

2(x) + 2(-3) / 5 = 5

(2x - 6) 5 = 5

MULTPLY 5 to BOTH SIDES

(2x - 6)/5 * 5 = 5 * 5

SIMPLIFY IT!
2x - 6 = 5 * 5

2x - 6 = 25

ADD 6 to BOTH SIDES

2x - 6 + 6 = 25 + 6

SIMPLIFY IT!
2x = 25 + 6

2x = 31

DIVIDE 2 to BOTH SIDES

2x/2 = 31/2

SIMPLIFY IT!

x = 31/2

x = 15 1/2

Therefore, the answer should be:

x = 15 1/2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:  15 1/2

Step-by-step explanation:

This is multiplication:

-1.6 x -7.1 = 11.36

Answer: 11.36

Answer:

Its the very top one

Step-by-step explanation:

Answer:

A: 1 solution

B: (4,4) is the solution

Step-by-step explanation:

They have different slopes so they're already different equations and because of that, they can only have one solution.

The intersection of the two lines is the solution since those coordinates satisfy both equations.

Answer:

The solutions of a graphed pair of equations are the points of intersection - the points on the graph where the two lines cross each other.  At this point, when inputting the same x-value into the 2 equations, the resulting y-values will also be the same.

Therefore, from inspection of the graph, there is one point of intersection, and so one solution.

The name for a system that has one solution and intersects at one point is Consistent Independent

From inspection of the graph, the point of intersection is (4, 4).

Therefore, the solution to the equations of line A and B is (4, 4).

Proof

Using substitution:

⇒ x = -0.5x + 6

⇒ 1.5x = 6

⇒ x = 4

Substituting the found value of x into one of the equations to find y:

⇒ y = 4

Therefore, the solution is (4, 4)

Answer:it would be C.

Step-by-step explanation:

6-(-6)=12 and 5-(-3)=8, so if you put it in the fraction, it would end up as 3/2.

3-(-3)=6 and 3-(-1)=4, and 6/4 simplified is 3/2. If both slopes are 3/2, then they would be parallel, showing that the two lines have the same slope. Another way to prove is that 3/2=3/2 is true

Answer:

2,4

Step-by-step explanation:

The average rate of change for P between 1992 and 2000 is -1.025.

Average rate of change function is the average rate by which a quantity is changed with respect to another quantity.

It can be calculated as the amount of change in a quantity divided by the amount of change in another quantity.

Average rate of change for a function 'f' in the interval [a, b] is,

A = [tex]\frac{f(b) - f(a)}{b - a\\}[/tex]

Here P is the function which is the percent of voters between ages 18 and 29 in the interval 1992 to 2000

Average rate of change for P = P(2000) - P(1992) / 2000 - 1992

A = [34.5 - 42.7] /[2000 - 1992]

A = -8.2 / 8

A = -1.025

Hence, the average rate of change for P between 1992 and 2000 is -1.025.

To learn more on Average rate of change, click

https://brainly.com/question/28744270

#SPJ2

Answer:

he' ll have 8 fruits left

Step-by-step explanation:

18 + 16  =  34 ,  34-26 = 8

Answer:

the answer is 8

Step-by-step explanation:

u do 18 +16 which equals 34 then u minus how many friends he has by 34 because each friend got only one so u minus that and it equals 8

Answer:

1850

Step-by-step explanation:

The problem is asking you how many kids (predicted by the superintendent) will buy lunches for 1-2 days. Since you know the percentage predicted and the student amount, just multiply as a decimal (convert by putting the number over 100 as a fraction.)

5000*0.37=1850

Answer:

3 / 10

Step-by-step explanation:

Total = 30 times

n ( T ) = 30

Green = 9

n ( G ) = 9

To find : Probability of Green [ P ( G ) ]

Formula : -

P ( G ) = n ( G ) / n ( T )

P ( G ) = 9 / 30

9 = 3 x 3

30 = 3 x 10

P ( G ) = ( 3 x 3 ) / ( 3 x 10 )

P ( G ) = 3 / 10

Hence,

the experimental probability that the next time the spinner is spun, it lands on green is 3 / 10.

2. the answer is 90° the angle

3. the answer is 60° the angle

Answer:

[tex] \sqrt{277} [/tex]

Step-by-step explanation:

[tex]x { }^{2} = 9 {}^{2} + 14 {}^{2} \\ \sqrt{x {}^{2} } = \sqrt{14 {}^{2} + 9 {}^{2} } \\ x = \sqrt{277} [/tex]

Answer:

d

Step-by-step explanation:

60+30(1 hr)

=90

90 pages in the book

so d.

Answer:

The correct answer is D) 1

Step-by-step explanation:

There are 30 remaining pages for Andy left to read. We know he reads 30 pages per hours, therefore, he will be finished reading the book in an hour.

Answer:

4) 10.5 m.  5) 7 1/3   6)6m

Step-by-step explanation:

5 might be inaccurate (as i am doing mental math) but 4 and 6 are definently right :)

1) 2.65 - 0.63 =2 .02

2) 3.28 - 0.63 = 2.65

3)2.65 + -2.02 = 0.63

4) 0.63 - 3.28 = 2.65

1) 2.65 - 0.63 =2 .02

2) 3.28 - 0.63 = 2.65

3)2.65 + -2.02 = 0.63

4) 0.63 - 3.28 = 2.65

Sorry for the long wait but hopefully this helps <3

Answer:

3 pails

Step-by-step explanation:

I did this one on a diferent one lol

-lukelaws

Hope I helped If I did please mark me brainliest if I got it wrong sorry!