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belka [17]
3 years ago
7

Please help with this! Will give brainliest if the answer is right!

Mathematics
2 answers:
Lesechka [4]3 years ago
8 0

Answer:

336 square feet.

Step-by-step explanation:

Remark

The question is what to do about the roof and the floor. Does the roof get painted or not? Does he need to include paint for the floor which we cannot see?

I will assume no to the roof and no for the floor. That's arbitary. Lateral Area is the perimeter of the base * height.

Solution

<em><u>Front and Back</u></em>

Area of the Front and Back is 8*14. Since there are 2 it is 2 * 8 * 14 = 224

Area of the left and right side = 2 * 7 *8 =                                               112

Total area = 112 + 224 = 336

Total                                                                                                       336 square feet


musickatia [10]3 years ago
4 0

Answer:

784

Step-by-step explanation:

caculator. of course.

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5-2(4a+1)+3a=13 <br><br> A= 2/3<br> A= -2<br> A= -6/5<br> A=2
VMariaS [17]

Answer:

                   a = -2

Simplifying 5 + -2(4a + 1) + 3a = 13 Reorder the terms: 5 + -2(1 + 4a) + 3a = 13 5 + (1 * -2 + 4a * -2) + 3a = 13 5 + (-2 + -8a) + 3a = 13 Combine like terms: 5 + -2 = 3 3 + -8a + 3a = 13 Combine like terms: -8a + 3a = -5a 3 + -5a = 13 Solving 3 + -5a = 13 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5a = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -5a = 13 + -3 -5a = 13 + -3 Combine like terms: 13 + -3 = 10 -5a = 10 Divide each side by '-5'. a = -2

6 0
3 years ago
0.05 is 1/10 the value of <br>A. 5 <br>B. 0.005<br>C. 0.5 <br>D. 50<br>​
anastassius [24]

Answer:

C.

Step-by-step explanation:

as 0.05 is 1/10 of a number, multiplying 0.05 by 10 will give you the number that when divided by 10 will give you 0.05. Hence just multiply 0.05 by 10 and you get 0.5.

8 0
3 years ago
The volume of the triangular prim is 250 cubic inches. What is the value of x
Vinvika [58]

Answer:

12 in

Step-by-step explanation:

thank me and rate me plz!!!! thank you :)

7 0
3 years ago
A circular race track has a radius of 200 feet a car drives 50 laps around the track approximately how many miles does the car t
bazaltina [42]

Answer:

  11.9 miles

Step-by-step explanation:

The length of the track is ...

  C = 2πr = 2π(200 ft) = 400π ft

Then the length of 50 laps will be ...

  50C = 50·(400π ft) = 20,000π ft ≈ 62,831.9 ft

The number of miles (m) this is can be found from ...

  m(5280 ft) = 62,831.9 ft

  m = 62,831.9/5280 ≈ 11.90 . . . . miles

50 laps is about 11.9 miles.

4 0
3 years ago
A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An industrial tank of this shape must h
mestny [16]

Answer:

Radius =6.518 feet

Height = 26.074 feet

Step-by-step explanation:

The Volume of the Solid formed  = Volume of the two Hemisphere + Volume of the Cylinder

Volume of a Hemisphere  =\frac{2}{3}\pi r^3

Volume of a Cylinder =\pi r^2 h

Therefore:

The Volume of the Solid formed

=2(\frac{2}{3}\pi r^3)+\pi r^2 h\\\frac{4}{3}\pi r^3+\pi r^2 h=4640\\\pi r^2(\frac{4r}{3}+ h)=4640\\\frac{4r}{3}+ h =\frac{4640}{\pi r^2} \\h=\frac{4640}{\pi r^2}-\frac{4r}{3}

Area of the Hemisphere =2\pi r^2

Curved Surface Area of the Cylinder =2\pi rh

Total Surface Area=

2\pi r^2+2\pi r^2+2\pi rh\\=4\pi r^2+2\pi rh

Cost of the Hemispherical Ends  = 2 X  Cost of the surface area of the sides.

Therefore total Cost, C

=2(4\pi r^2)+2\pi rh\\C=8\pi r^2+2\pi rh

Recall: h=\frac{4640}{\pi r^2}-\frac{4r}{3}

Therefore:

C=8\pi r^2+2\pi r(\frac{4640}{\pi r^2}-\frac{4r}{3})\\C=8\pi r^2+\frac{9280}{r}-\frac{8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{24\pi r^2-8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{16\pi r^2}{3}\\C=\frac{27840+16\pi r^3}{3r}

The minimum cost occurs at the point where the derivative equals zero.

C^{'}=\frac{-27840+32\pi r^3}{3r^2}

When \:C^{'}=0

-27840+32\pi r^3=0\\27840=32\pi r^3\\r^3=27840 \div 32\pi=276.9296\\r=\sqrt[3]{276.9296} =6.518

Recall:

h=\frac{4640}{\pi r^2}-\frac{4r}{3}\\h=\frac{4640}{\pi*6.518^2}-\frac{4*6.518}{3}\\h=26.074 feet

Therefore, the dimensions that will minimize the cost are:

Radius =6.518 feet

Height = 26.074 feet

5 0
3 years ago
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