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Vera_Pavlovna [14]
3 years ago
15

The surface area of a rectangular prism is 2LW + 2LH + 2WH, where L is the length, w is the width, and h is the height. Find the

surface area of a prism whose length is 5 feet, width is 8 feet and height is 9 feet.
Mathematics
1 answer:
zepelin [54]3 years ago
4 0
We can simplify to get
SA=2(LW+LH+WH)

substitute 5 for L, 8 for W and 9 for H


SA=2(5*8+5*9+8*9)
SA=2(40+45+72)
SA=2(157)
SA=314

the surface area is 314 square feet
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6 0
3 years ago
Amy is helping plan her school's new basketball court. The west edge of the basketball court is located on the line y = 2x + 5.
ipn [44]

Answer:

Line of east wedge is: 2x - y = 96

So, Option 1 is correct.

Step-by-step explanation:

The east edge cannot intersect with the west edge means that two lines are parallel.

If the two lines are parallel then they have same slope. We need to find the slopes of given lines and check which line has slope same as slope of west edge.

Slope of west edge.

y = 2x + 5

The standard equation for slope intercept form is:

y = mx+b

where m is the slope. So, m= 2

Now finding line for east edge.

Option 1.

Convert each given equation to standard slope intercept form and find the slope.

2x -y =96

-y = -2x +96

Multiply with -1

y = 2x -96

m = 2

Option 2.

-2x -y = 96

-y = 2x +96

y = -2x-96

m = -2

Option 3

-y-2x =48

-y = 2x +48

y = -2x -48

m = -2

Option 4.

y+2x = 48

y = -2x+48

m = -2

So, only line of Option 1 has slope = 2 which is equal to the slope of west edge.

Line of east wedge is: 2x - y = 96

So, Option 1 is correct.

7 0
3 years ago
Suppose that f(x) is an EVEN function and let the integral f(x) dx from 0 to 1=5 and the integral f(x) dx from 0 to 7 =1. What i
Cerrena [4.2K]
<span>Since it's even, the integral from -7 to -1 is the same as the integral from 1 to 7.
</span><span>think about
x^2 from 0..1,its 1/3
from 0..7 its 7^3/3
from -1..7 its 7^3/3+1/3
</span>
<span>from -7..-1 of x^2 its -1/3+7^3/3 to get this without integrating we just do 7^3/3-1/3 which is the integral from 0..7 minus the integral from 0..1
</span><span>So the integral from 1 to 0 f(x) dx = 5 changes to the integral from 0 to 1 f(x) dx = -5 and you add it to the integral from 0 to 7 which is 1 making -4</span>
4 0
4 years ago
Sam spent $16 on a large pizza and two drinks. If the pizza was 75% of the cost, how much did each drink cost?
Veseljchak [2.6K]

Each drink costs $2.

7 0
3 years ago
-2X-10=14X-7<br> HELP ME
Vesnalui [34]

Answer:

x= -3/16

Step-by-step explanation:

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3 0
3 years ago
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