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lisabon 2012 [21]
3 years ago
11

What is the volume of the composite figure?

Mathematics
1 answer:
sertanlavr [38]3 years ago
8 0

Look at the picture.

We have 3 cuboids. The formula of a volume of a cuboid is:

V = Length × Width ×  Height = lwh

The cuboid 1 are congruent to the cuboid 2.

<h2>1&2</h2>

l = 9 in, w = 10 in, h = 10 in

V = (9)(10)(10) = 900 in³

<h2>3</h2>

l = 6 in, w = 10 in, h = 10 in

V = (6)(10)(10) = 600 in³

The volume of the composite prism:

V = 2(900) + 600 = 1800 + 600 = 2400 in³

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What is the result when the number 92 is decreased by 50%?
Sliva [168]

Answer:

46

Step-by-step explanation:

50%=0.5

0.5*92=46

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3 years ago
Is a good economist always objective or
Mashutka [201]

anwer

yes good economist is always objective.

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2 years ago
Two pitchers, Jerry and Louis, want to find out who has the faster pitch when compared to each of their teams. Jerry has a speed
saul85 [17]

Answer:

Louis has faster pitch when compared to each of their teams.

Step-by-step explanation:

We have two pitchers which we need to compare to each of their teams.

To calculate this, we will approximate the distributions to a normal distribution, and calculate the z-score, to know what proportion of players of their team fall below their score.

For Jerry, he has a speed of 86 and his team has a mean speed of 93 and standard deviation of 3.

We can calculate the z-score for Jerry speed as:

z=\dfrac{X-\mu}{\sigma}=\dfrac{86-93}{3}=\dfrac{-7}{3}= -2.333

The proportion of players that are below Jerry speed is approximated by the standard normal distribution:

p=\Phi(z

For Louis, his speed is 84 and his team has a mean speed of 89 and standard deviation of 3.5.

We can calculate the z-score for Jerry speed as:

z=\dfrac{X-\mu}{\sigma}=\dfrac{84-89}{3.5}=\dfrac{-5}{3.5}= -1.429

The proportion of players that are below Louis speed is approximated by the standard normal distribution:

p=\Phi(z

As the proportion of players of Louis team that are below Louis speed is much bigger than the proportion of players of Jerry's team that are below Jerry speed, we can say that Louis has faster pitch when compared to each of their teams.

6 0
3 years ago
This week, Sarah spent a total of 120 minutes studying. This total was 20 more
MrMuchimi

Answer:

She spent 25 minutes studying last week

Step-by-step explanation:

L = last week

120 = 4L + 20

Subtract 20 from either side

100 = 4L

Divde either side by 4

25 = L

4 0
3 years ago
With 30l of milk, we can make 8.4kg of
Greeley [361]
To get from 8.4 to 10 in multiplication, we need to multiply 8.4 by 10/8.4

That means that if we multiply 30 by 10/8.4 we get the answer
which is 35,714

The same with the other
8.4 times 100/30 = 28
7 0
3 years ago
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