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steposvetlana [31]
2 years ago
12

A rectangular prism has a height of 15 centimeters and a width of 6 centimeters. The surface area of the prism is 684 square cen

timeters. What is the length of the prism?
A. 24 cm

B. 12 cm

C. 9 cm

D. 6 cm
Mathematics
1 answer:
Gala2k [10]2 years ago
7 0

Answer:

Step-by-step explanation:

Let the length be L

Formula

SA = 2Lw + 2Lh + 2wh

Givens

h = 15 cm

w = 6 cm

L = ?

SA = 684 cm^2

Solution

Substitue what you know into the given formula

2*6*L + 2*15*L + 2 * 6 * 15 = 684         Combine

12*L + 30*L + 180 = 684                         Combine again

42L + 180 = 684                                     Subtract 180 from both sides.

42L +180 -180 = 684 - 180            

42L = 504                                               Divide by 42

Answer: L = 12

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4 years ago
The value of y varies directly with x. If x = 5 when y = 12, what is the value of x whon y = 30?
Brrunno [24]

Step-by-step explanation:

y = kx, where k is a real constant.

When y = 12, x = 5.

=> (12) = (5)k, k = 2.4.

Therefore when y = 30,

x = y/k = (30)/(2.4) = 12.5.

The answer is 12.5.

5 0
3 years ago
Based on the data in the two-way table, what is the probability that a person weighs 120 pounds, given that he or she consumes 2
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3 years ago
Read 2 more answers
PLISS ANSWER :C DONT ANSWER IF YDK THAnKSSS<br> *also pls look at both images :)*
Iteru [2.4K]

Answer:

First image: (6, -1)

2nd image: y = 63

Explanation:

1)

2x + y = 11

1/2x - 5y = 8

y = -2x + 11

1/2x - 5(-2x + 11) = 8

1/2x + 10x - 55 = 8

10.5x - 55 = 8

10.5x = 63

x = 6

2x + y = 11

2(6) + y = 11

12 + y = 11

y = -1

(x , y) = (6, -1)

2)

1/4(8y - 4.8) = 2 (0.9y + 5.4) + 3/5

2y - 1.2 = 1.8y + 10.8 + 0.6

0.2y - 1.2 = 11.4

0.2y = 12.6

y = 63

7 0
3 years ago
Find the measurement of angle 4 when angle 3=7x and 5=3x
Leya [2.2K]
Angle 4 will be 54°

because angle 3 and angle 5 will add to equal 180. from that we find x=18. angle 4 and and 5 and the same so 3(18) equals 54
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3 years ago
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