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BARSIC [14]
2 years ago
12

A rectangular prism is removed from a triangular prism with a volume of 200 cubic units. The volume of the final figure is 180 c

ubic units.
What could be the dimensions of the prism that was removed?
4 by 2 by 5
3 by 1 by 8
2 by 1 by 7
2 by 2 by 5
Mathematics
2 answers:
frozen [14]2 years ago
7 0

Answer:

2 by 2 by 5

Step-by-step explanation:

A rectangular prism is removed from a triangular prism with a volume of 200 cubic units. The volume of the final figure is 180 cubic units. Therefore, the dimensions of the prism that was removed could be 2 by 2 by 5.

200 - 180 = 20

2 by 2 by 5 = 20

Darya [45]2 years ago
5 0

Answer:

  2 by 2 by 5

Step-by-step explanation:

The change in volume is 20 cubic units, so that must be the product of the dimensions of the cuboid removed.

a) 4×2×5 = 40 ≠ 20

b) 3×1×8 = 24 ≠ 20

c) 2×1×7 = 14 ≠ 20

d) 2×2×5 = 20 . . . . . this is the answer

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A typical red blood cell in human blood has a diameter of approximately 0.0007 cm. Enter this diameter in scientific notation.
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6 0
3 years ago
In a batch of 100 parts, 40 are red, 50 are L-shaped and 22 are both red and L-shaped. What is probability that a part picked fr
Bogdan [553]

The probability that a part picked from this batch at random is either red or L-shaped is 0.68

Step-by-step explanation:

Let us revise some rules of probability

The addition rules are:

  • P(A or B) = P(A) + P(B) ⇒ mutually exclusive (events cannot happen  at the same time)
  • P(A or B) = P(A) + P(B) - P(A and B) ⇒ non-mutually exclusive (if they  have at least one outcome in common)

∵ A batch has 100 parts

∵ 40 are red

- Probability of an event is the [even occurs/total outcomes]

∴ P(red) = \frac{40}{100}=0.4

∵ 50 are L-shaped

∴ P(L-shaped) = \frac{50}{100}=0.5

∵ 22 are both red and L-shaped

∴ P(red and L-shaped) = \frac{22}{100}=0.22

This is non-mutually exclusive because there is a common between them, so we will use the 2nd rule

∵ P(red or L-shaped) = P(red) + P(L-shaped) - P(red and L-shaped)

∴ P(red or L-shaped) = 0.4 + 0.5 - 0.22

∴ P(red or L-shaped) = 0.68

The probability that a part picked from this batch at random is either red or L-shaped is 0.68

Learn more:

You can learn more about the probability in brainly.com/question/2254182

#LearnwithBrainly

3 0
3 years ago
2 × 10^12 red blood cells have a total mass of 90 grams.
galina1969 [7]

Answer:

2×10¹² cells → 90 g

mass of 1 red blood cell : 90÷(2×10¹²) = 45×10^-12 g = 4.5×10^-11 g

5 0
2 years ago
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