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3 years ago

What is the volume enclosed by the slanted prism in the diagram? A. 225 cm3 B. 270 cm3 C. 300 cm3 D. 540 cm3

Mathematics

1 answer:

Leokris [45]3 years ago

4 0

Answer:

Step-by-step explanation:

The volume of a slanted prism is defined as the product between the area of its base and its height.

Remember that height is the distance from the top to the bottom, reaching that bottom with a perpendicular angle.

So, in this case, the height is 9 cm, and the area of the base is 25 square centimeter.

This means the volume is

$V=Bh=25cm^{2}(9cm)=225cm^{3}$

Therefore, the right answer is A.

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Buddy painted (1/5) of the 320 nutcrackers.How many nutcrackers did buddy paint

just olya [345]

Answer:

Step-by-step explanation:

Given that,

Buddy painted (1/5) of the 320 nutcrackers.

We need to find how many nutcrackers did buddy paint. It can be calculated by finding (1/5) of 320.

$x=\dfrac{1}{5}\times 320\\\\=64$

Hence, he painted 64 nutcrackers.

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3 years ago

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Tony bought a video game for $15.13. He gave the clerk a $20 bill. Which of the following could be the change he received?

Tanya [424]

Answer:

$4.87

Step-by-step explanation:

20 - 15.13 = 4.87

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2 years ago

Please answer this correctly

Troyanec [42]

Answer:

Mode

Step-by-step explanation:

Mean:

Before replacing = 464/8 = 58

After replacing 42 with 98 = 520/8 = 65

Mode:

Before replacing = 42

After replacing 42 with 98 = 98

Median:

25, 42 , 42 , 47, 55 , 59, 96,98

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3 years ago

Becca and Kimberly are running at a constant speed in a marathon. Becca runs at 4.5 miles per hour. Kimberly’s progress is shown

Georgia [21]

Answer:

Part A: Kimberly

Part B:

Becca = 22.5 miles, Kimberly = 25 miles

Step-by-step explanation:

Part A:

Given that Becca runs at a constant speed of 4.5 miles per hour, use the table to find the constant speed that Kimberly runs, and compare who runs faster.

Let x = time

y = distance

k = speed = y/x

Equation for each person can be written as: y = kx

Therefore:

✔️Equation for Becca if k = 4.5

y = 4.5x

✔️Find k (speed) of Kimberly using (2, 10):

Speed (k) = y/x

k = 10/2

k = 5 miles per hour

Equation for Kimberly would be:

y = 5x

Comparing their speed, Kimberly runs faster because she covers more miles per hour than Becca does.

Part B:

For Becca, substitute x = 5 into Becca's equation, y = 4.5x

Thus:

y = 4.5*5 = 22.5 miles

For Kimberly, substitute x = 5 into Kimberly's equation, y = 5x

Thus:

y = 5*5 = 25 miles

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2 years ago

What number is 40% of 307<br> Input only whole numbers.

Alina [70]

Answer:

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3 years ago

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