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laila [671]
3 years ago
5

A prism of height 12" has a rhombus with diagonals 6" and 8" for a base. Find the volume. 240 cu. in. 288 cu. in. 576 cu. in.

Mathematics
2 answers:
weqwewe [10]3 years ago
6 0
Its not 576 because i got it wrong 

oee [108]3 years ago
6 0

Answer:

Option 2nd is correct

volume of prism is, 288 cu. in.

Step-by-step explanation:

Volume of prism(V) is given by:

V = B \cdot h               .....[1]

where,

B is the Base area

h is the height of the prism.

Area of rhombus(A) is given by:

A = \frac{1}{2}d_1 \cdot d_2

where,

d_1, d_2 are the diagonals of the rhombus.

As per the statement:

A prism of height 12" has a rhombus with diagonals 6" and 8" for a base.

⇒d_1 = 6", d_2= 8" and h = 12"

Find the base area i.,e Area of rhombus.

B = \frac{1}{2}(6 \cdot 8)

Simplify:

B = 24 square inches.

Substitute the given values in [1] we have;

V = 24 \cdot 12 = 288 cubic inches.

Therefore, the volume of prism is, 288 cu. in.

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ycow [4]

Answer:

The whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square is 6 ft

Step-by-step explanation:

Here we are required find the size of the sides of a dunk tank (cube with open top) such that the surface area is ≤ 160 ft²

For maximum volume, the side length, s of the cube must all be equal ;

Therefore area of one side = s²

Number of sides in a cube with top open = 5 sides

Area of surface = 5 × s² = 180

Therefore s² = 180/5 = 36

s² = 36

s = √36 = 6 ft

Therefore, the whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square = 6 ft.

6 0
2 years ago
One third of a number is three more than one fourth the same number. What is the number.
Oduvanchick [21]
(1/3)x=3+(1/4)x
is the same as
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8 0
3 years ago
I need help solving this I just can’t get the right answer
hodyreva [135]

Answer:

-1.99, 1.99

Step-by-step explanation:

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P(x < z) = 1 − 0.0233 = 0.9767

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7 0
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Answer: 50%


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5 0
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andreyandreev [35.5K]

Answer:

Below.

Step-by-step explanation:

a) 5x-x² = x(5 - x).

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c) x²+x-56 = (x - 7)(x + 8).

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