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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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−−→ LO bisects ∠ NLM , LM = 18 , NO = 4 , and LN = 10 . LO → bisects ∠ NLM , LM = 18 , NO = 4 , and LN = 10 . What is the value
Sindrei [870]

Answer:

7.2

Step-by-step explanation:

Given that in triangle LMN, LO is angle bisector of angle L.

LN =10 and LM =18

By angle bisector theorem for triangles we have

LN/LM = NO/MO

Substitute the values for known things and x for MO

We get

10/18 = 4/x

Or cross multiply to get

10x=72

x=7.2

So answer is 7.2

3 0
3 years ago
Going against the current, a boat takes 6 hours to make a 120-mile trip. When the boat travels with the current on the return tr
Andrew [12]

Answer:

120 miles/6 hours = 20 mph. You need to do the same for the boat going with the current. 120 miles/ 5 hours = 24 mph.

Step-by-step explanation:

5 0
3 years ago
Kent worked in the houseware section of a department store. This year he set a record high for vacuum sales with567 vacuum sold.
Gemiola [76]
First subtract the original high from the new high:
567 - 540 = 27 more vacuums sold.

Now divide the increase amount by the original high and multiply that by 100 to get the percentage:

27 / 540 = 0.05

0.05 * 100 = 5% Increase.
5 0
3 years ago
HELP ASAP SOS!!! <br> QUESTION : write a 4 step proof that triangle ABD is congruent to ABD
SCORPION-xisa [38]

Here are a few reasons:

The triangles have the same three sides

The triangles have the same three angles

The triangles could perfect overlap one another

They have corresponding angles.

Not sure if this helped but I hope so!

8 0
3 years ago
Find the difference: <br> 2(x-2) - 3(x-4)
cluponka [151]

Answer:

brainliest plzzzzz

Step-by-step explanation:

2(x-2) - 3(x-4)

Simplify:

2(x-2)-3(x-4)

2x-4-3(x-4)

Distribute:

2x-4-3(x-4)

2x-4-3x+12

Add the numbers:

2x-4-3x+12

2x+8-3x

Combine like terms:

2x+8-3x

-x+8

Hence Solution = -x+8

4 0
3 years ago
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