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Verdich [7]
3 years ago
14

A right prism with rhombus bases is shown. The side length of each rhombus is 5 units. The height of the prism is 16 units. The

diagonals of each rhombus measure 6 and 8 units.What is the volume of the prism? 192 cubic units 200 cubic units 384 cubic units 400 cubic units
Mathematics
2 answers:
umka21 [38]3 years ago
5 0
384 cubic units is the answer.
IRISSAK [1]3 years ago
5 0

Answer:

The answer is 384 cubic units

Step-by-step explanation:

The volume can be calculated multiplying the area of the rhombus by the height of the prism:

V = Ar*H*p

Then the area of the rhombus can be obtained as:

Ar = D*d/2

Here D and d are the rhombus's diagonal. Replacing the values for the diagonals:

Ar = 8*6/2 = 24

Where the area is expressed in square units. Evaluating the area and the height in volume's formula:

V = 24 * 16 = 384  

The volume calculated in cubic units

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Solve -2(5x+8)=14+6x
Zanzabum

Answer:

x = -15/8

Step-by-step explanation:

-2(5x+8) = 14+6x

Expand the brackets.

-10x+-16 = 14+6x

-10x-16 = 14+6x

Add -6x and 16 on both dies.

-10x-6x = 14+16

-16x = 30

Divide -16 into both sides.

x = -30/16

x = -15/8

The solution for the equation is x = -15/8

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3 years ago
Read 2 more answers
Pls help me I hate math so much​
liraira [26]

Answer:

b= a + 5

Explanation:

1+5=6

2+5=7

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3 years ago
Which item has a unit rate of $6.50?
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Answer:

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Step-by-step explanation:

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3 years ago
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Martha made 3 birthday cards and she wants to make more. if she makes 5 cards an hour, How many cards will she have after 6 hour
frozen [14]
Well, since she makes 5 cards in ONE hour, we'll just multiply 5 times 6 to find out the total amount of cards made in 6 hours, which is 30. HOWEVER, we mustn't forget to add the amount of cards BEFORE she began making 5 cards per hour, which is 3, so 30 + 3 = 33. She made 33 cards after 6 hours. c:
8 0
3 years ago
Ken and Ivan had some sweets. After Ken gave away 5/7 of his sweet, he had 2/3 as many sweets as Ivan. Ivan then gave away 120 s
Zielflug [23.3K]

Answer:

Ivan had 288 sweet while Ken had 672 sweets

Step-by-step explanation:

Let the number of sweets owned by Ken and Ivan be k and v respectively.

After Ken gave away 5/7 of his sweet, what he had left

= k - 5k/7

= 2k/7

he had 2/3 as many sweets as Ivan then

2k/7 = 2v/3

Divide both sides by 2 and cross multiply

7v = 3k

Ivan then gave away 120 sweets, Ivan would have

v - 120 = k/4

multiply both sides by 4

4v - 480 = k

7v = 3(4v - 480)

7v = 12v - 1440

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v = 1440/5

= 288

7v = 3k

7 * 288 = 3k

k = 7 * 288/3

= 672

3 0
3 years ago
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