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1 year ago

Please show your work!! Identify the volume of the composite figure. Round to the nearest tenth.

Mathematics

1 answer:

Zina [86]1 year ago

4 0

The volume of the composite figure = 860.7 m³

<h3>How to Find the Volume of a the Composite Figure?</h3>

The volume of the composite figure = volume of rectangular prism - Volume of cylinder.

Volume of rectangular prism = (length)(width)(height)

Length = 10 m
Width = 10 m
Height = 12 m

Volume of rectangular prism = (10)(10)(12)

Volume of rectangular prism = 1,200 m³

Volume of the cylinder = πr²h

r = 3 m

h = 12 m

Volume of the cylinder = π(3²)(12)

Volume of the cylinder = 339.3 m³

The volume of the composite figure = 1,200 - 339.3

The volume of the composite figure = 860.7 m³

Learn more about the volume of composite figure on:

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3 years ago

Which of the following statements is not true about the numbers 7 and -7? They are opposite numbers. They form a zero pair. They

Irina-Kira [14]

We need to find which statement is not true:

Let us check each statement:

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Opposite numbers have the same distance away from zero. Hence, 7 and -7 are opposite numbers.

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7-7 =0, the statement is true.

- They have the same absolute value

The absolute value is the not negative value no matter the sign.

Hence, l7l= 7 and l-7l= 7.

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Then:

7+(-7) = 0

Therefore, the last statement "They have a sum of -14" is not true.

7 0

1 year ago

The population of winnecumma, Nevada, is growing at a rate of 5% each year. If the population is 8742, how many years(3 decimal

sweet-ann [11.9K]

Current population = P = 8742
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We are to find the number of years it takes the population to grow to 12,000.

So, we can write:

$A=P(1+r)^{t}$

Using the values, we get:

$12000=8742(1+0.05)^{t} \\ \\ 
 \frac{12000}{8742}= (1.05)^{t} \\ \\ 
t=6.492$

This means, it will take 6.492 years for the population to grow to 12,000.

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3 years ago

A study is done to determine if students in the California state university system take longer to graduate, on average, than stu

Zanzabum

Answer:

Step-by-step explanation:

Base on the scenario been described in the question, we can use the following method to solve the given problem

Test the claim at 5% level of significance.

0: − ≤ 0

: − > 0

Since the population standard deviations are known we can use z-distribution.

Test statistic is

√

4.5 − 4.1

√

1.58112

100 +

100

= 2.14.

Critical value for 5% level of significance:

zcrit = 1.645.

We reject the null hypothesis at 5% level of significance because the test statistic = 2.14 is bigger than

critical value zcrit= 1.645. There is evidence to conclude that students in the California state university

system take on average longer to graduate, than students enrolled in private universities.

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3 years ago

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jasenka [17]

Answer:

Each gets 29 oranges

Step-by-step explanation:

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116÷4 = 29

7 0

2 years ago