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Amiraneli [1.4K]
3 years ago
8

Find the measure of

Mathematics
1 answer:
FrozenT [24]3 years ago
8 0

Answer:

158.4 degrees.

Step-by-step explanation:

A line is 180 degress in total so subtract 21.6 from 180. Then you get 158.4

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How many bucketloads would it take to bucket out the world’s oceans? Write your answer in scientific notation.
kodGreya [7K]

Answer: 7\times10^{19} buckets

Step-by-step explanation:

Given:  A cubic kilometer=10^{15}cubic centimeters

The volume of  world’s oceans=1.4\times10^{9} cubic kilometers of water.

⇒ The volume of  world’s oceans=1.4\times10^{9}\times10^{15} cubic centimeters of water.

Volume of a bucket = 20,000 cubic centimeters of water.

The number of bucket-loads would it take to bucket out the world’s oceans

n=\frac{\text{volume of ocean}}{\text{volume of bucket}}=\frac{1.4\times10^{9}\times10^{15}}{20000}

\Rightarrow\ n=\frac{1.4\times10^{9+15}}{0.2\times10^5}......[a^n\times a^m=a^{m+n}]\\\Rightarrow\ n=7\times10^{24-5}.....[\frac{a^m}{a^n}=a^{m-n}]\\\Rightyarrow\ n=7\times10^{19}

hence,  7\times10^{19} bucketloads would it take to bucket out the world’s oceans.

5 0
3 years ago
Find the slope of the line drawn below
Marysya12 [62]

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (1, - 3)

m = \frac{-3-2}{1-1} = \frac{-5}{0}

Since division by zero is undefined then the slope of the line is undefined

4 0
3 years ago
Find the volume of the triangular prism in the picture shown. Round your answer to the
Olenka [21]

Given:

A figure of a triangular prism.

Height of triangular base = 9\dfrac{2}{3} yd

Base of triangular base = 4 yd

Height of prism = 4 yd.

To find:

The volume of the triangular prism.

Solution:

Volume of a triangular prism is:

V=Bh              ...(i)

Where, B is the area of triangular base and h is the height of the prism.

Area of triangular base is:

B=\dfrac{1}{2}\times base\times height

B=\dfrac{1}{2}\times 4\times 9\dfrac{2}{3}

B=2\times \dfrac{29}{3}

B=\dfrac{58}{3}

Putting B=\dfrac{58}{3} and h=4 in (i), we get

V=\dfrac{58}{3}\times 4

V=\dfrac{232}{3}

V=77.33...

V\approx 77.3

The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.

4 0
2 years ago
Write eqaution that represents the 5th multiple of 13.
uranmaximum [27]

Answer:13 to the 5th power

Step-by-step explanation:

7 0
2 years ago
Any idea what the answer could be??????
sveta [45]

Here is the answer with an explanation!

3 0
3 years ago
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