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3 years ago

The two rectangular prisms shown have bases with the same area. Which statement is true?

Mathematics

1 answer:

WARRIOR [948]3 years ago

8 0

This question is incomplete and it lacks the diagram of the rectangular prisms.

Please find attached to the answer the picture showing the diagrams of the rectangular prisms.

Complete Question

The two rectangular prisms shown have bases with the same area. Which statement is true?

A. The volume of prism Z is 4 times the volume of prism Y, and the figures are similar.

B. The volume of prism Z is 4 times the volume of prism Y, but the figures are not similar.

C. The volume of prism Z is 64 times the volume of prism Y, and the figures are similar.

D. The volume of prism Z is 64 times the volume of prism Y, but the figures are not similar.

Answer:

B. The volume of prism Z is 4 times the volume of prism Y, but the figures are not similar.

Step-by-step explanation:

From the attached diagram, we can see that, Prism Y and Prism Z are not similar due to their different shapes

From the diagram as well, we are given the height of one of the sides of the prisms.

The height of Y=6 cm. The height of Z=24cm.

Volume of a rectangular prism = Length × Width × Height = LWH

For prism Y = 6LW

For prism Z = 24 LW

Comparing the two prism with one another

24 LW: 6LW = 24LW/6LW

= 4

We can conclude that The volume of prism Z is 4 times the volume of prism Y.

Hence, Option B. "The volume of prism Z is 4 times the volume of prism Y, but the figures are not similar." is the correct option.

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skad [1K]

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6 0

3 years ago

Can someone please answer this for me please??

klio [65]

Answer:

15/16

Step-by-step explanation:

Using the order of operations, we need to multiply in the parentheses first...

3/5*25/24=75/120, which simplifies to 5/8.

Next, we need to divide 5/8 by 2/3. To divide, we can actually multiply by the reciprocal, which is flipping the fraction that you are dividing by. In this case, we need to multiply 5/8 by the reciprocal of 2/3. The reciprocal of 2/3 is 3/2, so we need to multiply 5/8 by 3/2.

5/8*3/2=15/16

This is the final answer!

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6 0

3 years ago

Just I need help ASAP

g100num [7]

Answer:

x≤3 or x>10

Step-by-step explanation:

x≤3 because the dot is a solid dot at 3 and pointing backward toward numbers less than 3.

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6 0

3 years ago

The formula below is used to convert a temperature in degrees Celsius, C to a temperature in degrees Fahrenheit, F

Nikolay [14]

Fahrenheit and Celcius are unit that can be used to measure temperature. In this question, you are given the equation to calculate Fahrenheit from Celcius so you just need to put the Celcius into C variable.

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2 years ago

Read 2 more answers

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Trava [24]

You shouldn't need a calculator for this. The quadratic equation is written in standard form.

ax^2 + bx + c = 0

You substitute a, b, and c into the discriminant formula and solve as shown in the example in the picture you provided.

(-7)^2 - 4(2)(-8)

49 - 4(-16)

49 - (-64)

49 + 64

113

Best of Luck!

3 0

3 years ago