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2 years ago

Find the volume of the prism shown.

Mathematics

1 answer:

Sever21 [200]2 years ago

7 0

Answer:

41.16 m³

Step-by-step explanation:

Volume = area triangle x height

1/2(2.8x4.2) = 1/2( 11.76) = 5.88

5.88 x 7 = 41.16

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aniked [119]

Answer:

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2 years ago

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A survey of 500 students in a school found that about 100 households consist of only vegetarians, 240 consist of vegetarians and

RideAnS [48]

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3 years ago

A school chorus has 90 sixth-grade students and 75 seventh-grade students. The music director wants to make groups of performers

Vera_Pavlovna [14]

Answer:

a) 15 is the largest number of groups that can be made.

b) There would 6 sixth grade students and 5 seventh grade students in each group.

Step-by-step explanation:

Number of sixth-grade students = 90

Number of seventh-grade students = 75

a) What is the largest number of groups that could be formed?

Since the music director wants to make groups with the same combination of sixth and seventh grade students in each group,

The greatest common factor (GCF) of the number of sixth and seventh grade students would give us the required combination.

Factor of 90 = 2*45 = 2*3*15 = 2*3*3*5

Factor of 75 = 3*25 = 3*5*5

The greatest common factors are 3 and 5

GCF = 3*5 = 15

Therefore, 15 is the largest number of groups that can be made.

b. If that many groups are formed, how many students of each grade level would be in each group?

Sixth grade = 90/15 = 6

Seventh grade = 75/15 = 5

Therefore, there would 6 sixth grade students and 5 seventh grade students in each group.

7 0

3 years ago

6 times 72 divided by 32

Fudgin [204]

Answer:

13.5

Step-by-step explanation:

8 0

2 years ago

The number of trees in a rainforest decreases each month by 0.5%. The forest currently has 2.5 billion trees. Which expression r

Blababa [14]

Answer:

$y=2.5*10^9(0.005^{12 0}) \\\\$

Step-by-step explanation:

The above question is in the form of an exponential decay. The equation for an exponential decay is given by:

$y=ab^x$

where y and x are variables, b < 1, a is the initial value of y (that is the value of y when x = 0).

Let y represent the number of trees left and x represent the number of months. Given that there is currently 2.5 billion trees, therefore a = 2.5 * 10⁹, b = 0.5% = 0.005. The equations becomes:

$y=2.5*10^9(0.005^x)\\\\After\ ten\ years(x=10*12\ months=120\ months):\\\\y=2.5*10^9(0.005^{12 0}) \\\\$

8 0

3 years ago