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pickupchik [31]
3 years ago
10

Sam is making a case for his calculator. It is a rectangular prism that will be 5.5 inches long by 2 inch wide by 5 inches high.

How much material (surface area) will he need to make the case?
Mathematics
1 answer:
White raven [17]3 years ago
8 0

Answer:

97in³

Step-by-step explanation:

L = 5.5, W = 2, H = 5

2(h × W) + 2(h × L) + 2(W × L)

= 2(5*2) + 2(5*5.5) + 2(2*5.5)

= 2(10) + 2(27.5) + 2(11)

= 20 + 55 + 22

= 97in³

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The hypotenuse of the right triangle is 5y inches long. The lengths of the legs are x + 8 and x + 3 inches. If the perimeter of
Zolol [24]

Answer: 35 inches.

Step-by-step explanation:

We know that:

hypotenuse = 5*y in

cathetus 1 = (x + 8) in

cathetus 2 = (x + 3) in

The perimeter of the triangle is 76 inches, then:

5*y + (x + 8) + (x + 3) = 76

5*y + 2*x + 13 = 76

We also know that the length of the hypotenuse minus the length of the shorter leg is 17 in.

The shorter leg is x + 3, then:

5*y - (x + 3) = 17

Then we have the equations:

5*y + 2*x + 11 = 76

5*y - (x + 3) = 17

With only these two we can solve the system, first we need to isolate one of the variables in one of the equations, i will isolate x in the second equation.

x = 5*y  - 3 - 17 = 5*y - 20

x = 5*y - 20

Now we can replace this in the other equation, we get:

5*y + 2*x + 11 = 76

5*y + 2*(5*y - 20) + 11 = 76

15*y - 40 + 13 = 76

15*y - 29 = 76

15*y = 76 + 29 = 105

and remember that the hypotenuse is equal to 5*y, then we want to get:

3*(5*y) = 105

5*y = 105/3 = 35

5*y = 35

Then te length of the hypotenuse is 35 inches.

6 0
3 years ago
Round 519.6597 to the nearest tenth place
EleoNora [17]
To round to the nearest tenth place you are going to round the last two digits of that, you should get 519.7
8 0
3 years ago
5. (3x2 – 13x – 10) ÷ (x – 5)
IgorC [24]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

( 3 {x}^{2}  - 13x - 10 ) \div (x - 5) =  \\

\frac{3 {x}^{2} - 13x - 10 }{x - 5}  =  \\

\frac{(x - 5)(3x + 2)}{(x - 5)}  =  \\

3x + 2

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

3 0
3 years ago
your school is planning to bring 193 students to watch the competition cheerleaders perform in hershey. there are eight drivers
Vinil7 [7]

Answer:

7 buses

Step-by-step explanation:

51 divided by 8 = 6 and you still have 3 students letf so you have to use one more bus

5 0
3 years ago
Two points A (-2, 9) and B (4, 8) lie on a line l. (i) Find the slope of the line l. (2)marks (ii) Find the coordinates of the m
White raven [17]

Answer :

  • 1 (i).
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  • (ii).
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  • (iii) .
  • distance \:  =  \sqrt{37}
  • 2(i).
  • slope \:  = 2
  • gradient \:  =  -  \frac{1}{2}
  • I Hope it helps :)

8 0
3 years ago
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