Find mPMA + mCMT. Please help..

<h3><u><em>Answer:</em></u></h3><h3><u><em>30</em></u></h3><h3><u><em>Step-by-step explanation:</em></u></h3><h3><u><em>Answer: 30 gallons</em></u></h3><h3><u><em></em></u></h3><h3><u><em>Step-by-step explanation:</em></u></h3><h3><u><em></em></u></h3><h3><u><em>So fist we add 40% and $40%. That's 80 percent of the tank which is 12 + 12 = 24. </em></u></h3><h3><u><em>Then we figure out half of 40 percent which is 20 which means its 6 gallons. </em></u></h3><h3><u><em>Now we add. 12+12+6 which equals our answer 30 gallons</em></u></h3><h3><u><em></em></u></h3>

3 0

2 years ago

A rectangular tank that is 5324 ft cubed with a square base and open top is to be constructed of sheet steel of a given thicknes

marishachu [46]

Answer:

Side of 22 and height of 11

Step-by-step explanation:

Let s be the side of the square base and h be the height of the tank. Since the tank volume is restricted to 5324 ft cubed we have the following equation:

$V = s^2h = 5324$

$h = 5324 / s^2$

As the thickness is already defined, we can minimize the weight by minimizing the surface area of the tank

Base area with open top $s^2$

Side area 4sh

Total surface area $A = s^2 + 4sh$

We can substitute $h = 5324 / s^2$

$A = s^2 + 4s\frac{5324}{s^2}$

$A = s^2 + 21296/s$

To find the minimum of this function, we can take the first derivative, and set it to 0

$A' = 2s - 21296/s^2 = 0$

$2s = 21296/s^2$

$s^3 = 10648$

$s = \sqrt[3]{10648} = 22$

$h = 5324 / s^2 = 5324 / 22^2 = 11$

4 0

2 years ago

What is the area of ruth's mural?

pentagon [3]

Answer:

Step-by-step explanation:

Comment

The shape consists of a rectangle on the bottom and a trapezoid on the top.

Rectangle

A rectangle has a very simple Area formula. It is Area = L*W. In this case the L = 14 m and is horizontal. The width is at right angles to the length and is marked as 3.

Area = L * w

L = 14

w = 3

Area = 14 * 3 = 42 m^2

Trapezoid

The trapezoid is a bit more complicated and some things have to be found. First of all b1 is the first base of the trapezoid. It is parallel to and equal to the Length of the rectangle. b2 is marked 10 meters. The height is just a bit more complicated. The total height of the figure is 8 m. You can't count the 3 m of the rectangle as part of the height because b1 comes only to the top of the rectangle. The height is 8 - 3 = 5

Area = 1/2(b1 + b2)*h/2

b1 = 14

b2 = 10

h = 8 - 3 = 5

Area = 1/2 ( 14 + 10) * 5 / 2

Area = 1/2 (24)*5

Area = 12 * 5

Area = <u> 60 m^2</u>

Total Area 102 m^2

8 0

1 year ago