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Marizza181 [45]
3 years ago
8

What is the property of 8x1 = 8

Mathematics
2 answers:
Nostrana [21]3 years ago
8 0

Multiplicative Identity

Korvikt [17]3 years ago
7 0

Answer:

Multiplecative Identity

Step-by-step explanation:

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The cone shaped storage tank has a height=14 feet respectively.Find the volume of liquid the tank can hold.Round your answer to
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The complete question is;

The height and diameter of a cone-shaped storage tank are 9 feet and 14 feet respectively. Find the volume of liquid the tank can hold. Round your answer to the integer, if necessary. Use the approximate of value of π, that is 3.14.

Answer:

Volume = 462 ft³

Step-by-step explanation:

We are given;

Height;h = 9 ft

Diameter;d = 14 ft

So, radius;r = 14/2 = 7 ft

Volume of a cone is given by;

V = ⅓πr²h

Where π = 3.14

Thus;

V = ⅓ × 3.14 × 7² × 9

V = 461.58 ft³

Approximating to nearest integer gives; V ≈ 462 ft³

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3 years ago
A Park ranger tags 100 animals. Use a proportion to estimate the total population for each sample.
7nadin3 [17]

Answer:

It is given that A Park ranger tags 100 animals.

This means the proportion of animals tagged= \dfrac{100}{x}

where 'x' represents the total population of animals.

We have to find total number of animals in each parts.

1)

23 out of 100 animals are tagged.

That means the proportion of animals tagged= \dfrac{23}{100}

Now we know that the proportion must be equal.

 \dfrac{23}{100}=\dfrac{100}{x}

⇒ x=\dfrac{100\times 100}{23}=434.783

which is approximately equal to 435.

Hence, the total population =435.

3)

8 out of 116 animals are tagged

That means the proportion of animals tagged= \dfrac{8}{116}

Now we know that the proportion must be equal.

 \dfrac{8}{116}=\dfrac{100}{x}

x=\dfrac{100\times 116}{8}\\\\x=\dfrac{11600}{8}=1450

which is approximately equal to 1450

Hence, the total population =1450.

4)

5 out of 63 animals are tagged

That means the proportion of animals tagged= \dfrac{5}{63}

Now we know that the proportion must be equal.

 \dfrac{5}{63}=\dfrac{100}{x}

x=1260

Hence, the total population =1260.

5)

4 out of 83 animals are tagged

That means the proportion of animals tagged= \dfrac{4}{83}

Now we know that the proportion must be equal.

 \dfrac{4}{83}=\dfrac{100}{x}

x=\dfrac{100\times 83}{4}\\\\x=2075

Hence, the total population =2075.

6)

3 out 121 animals are tagged

That means the proportion of animals tagged= \dfrac{3}{121}

Now we know that the proportion must be equal.

 \dfrac{3}{121}=\dfrac{100}{x}

x=\dfrac{100\times 121}{3}\\\\x=4033.33

Hence, the total population =4033.

7)

83 out of 125 animals are tagged

That means the proportion of animals tagged= \dfrac{83}{125}

Now we know that the proportion must be equal.

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7 out 165 animals are tagged

That means the proportion of animals tagged= \dfrac{7}{165}

Now we know that the proportion must be equal.

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x=\dfrac{100\times 165}{7}\\\\x=2357.143

Hence, the total population =2357.

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