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Olegator [25]
3 years ago
5

Divide. Write the answer in simplest form 2 1/2 ÷ 8​

Mathematics
1 answer:
Dafna1 [17]3 years ago
3 0

Answer:

Step-by-step explanation:

2.5/8

(5/2) / 8

(5/2) * (1/8)

5/16

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The radius of a circle is 8 feet. What is the area of sector bounded by a 90° arc?
Lera25 [3.4K]

Since 90 degree is 1/4 of a circle, the area will be 1/4 th area of the full circle.

The radius is given by, r = 8 ft, therefore, the area of the full circle is,

\begin{gathered} A=\pi\times r^2 \\ A=3.14\times8^2=200.96ft^2 \end{gathered}

Therefore, the area of the sector is,

A^{\prime}=\frac{1}{4}\times200.96ft^2=50.24ft^2\begin{gathered} A^{\prime}=\frac{\theta}{360}\times\pi\times r^2 \\ \text{ =}\frac{\text{90}}{360}\times\pi\times8^2 \\ \text{ =}\frac{1}{4}\pi\times64=16\pi \end{gathered}

4 0
1 year ago
7 freshmen, 9 sophomores, 8 juniors, and 8 seniors are eligible to be on a committee.
Setler79 [48]

Answer:

i)32C16

ii)1185408

<em><u>Explanation</u></em><em><u>:</u></em>

i)Total number of selected/eligible is 7+9+8+8=32

Total ways of selecting dance committee of 16 is

<em><u>3</u></em><em><u>2</u></em><em><u>C</u></em><em><u>1</u></em><em><u>6</u></em>

ii)Total ways of selecting 3 seniors from 8 is 8C3

and Total ways of selecting 6 juniors from 8 is 8C6

ways of selecting 2 sopho from 9 is 9C2

ways of selecting 5 freshman from 7 is 7C5

now, total way of selection come to be

8C3×8C6×9C2×7C5

=56×28×36×21

=1185408

✌️

6 0
3 years ago
The radius of a circle is 9 square inches. What is the Area of the Circle? Round your answer to the nearest hundredth. A 56.52 B
kondaur [170]

Answer:

hi

Step-by-step explanation:

Find the area of the circles: 1. f. Answer: 379.94 square inches 2. ... Given the radius or diameter, find the circumference AND area of each circle to the nearest tenth. 5. r=9 m. C=56.52 m. A=254.34 square meters ... Round your answer to the nearest tenth. 50.2 square feet 9. A company is manufacturing aluminum lids.

7 0
3 years ago
Solve for x. 5(x – 10) = 30 – 15x
SIZIF [17.4K]
Hey!


The first step to solving this problem would be to distribute the parenthesis. We do this so that we can get rid of the parenthesis.

<em>Original Equation :</em>
5 ( x - 10 ) = 30 - 15x

<em>New Equation {Changed by Distribution} :</em>
5x - 50 = 30 - 15x

The next step would be to 50 to both sides. The reason we do that is to get rid of the 50 that is on the left side of the equation.

<em>Old Equation :</em>
5x - 50 = 30 - 15x

<em>New Equation {Changed by Adding 50 to Both Sides} :</em>
5x = 80 - 15x

And now we would add 15x to both sides to get rid of the -15x on the right side of the equation.

<em>Old Equation :</em>
5x = 80 - 15x

<em>New Equation {Changed by Adding 15x to Both Sides} :</em>
20x = 80

Now we divide both sides by 20 to get x on it's own.

<em>Old Equation :</em>
20x = 80

<em>New Equation {Changed by Dividing Both Sides by 20} :</em>
\frac{20x}{20} = \frac{80}{20}

Finally, all we have to do is solve to find x.

<em>Old Equation :</em>
\frac{20x}{20} = \frac{80}{20}

<em>Solution {Old Equation Solved} :</em>
x = 4

<em>So, in the equation </em><span><em>5 ( x – 10 ) = 30 – 15x</em>,  x = 4.

Hope this helps!


- Lindsey Frazier ♥</span>
3 0
3 years ago
Read 2 more answers
Which is greater 419.10 or 419.099
svetlana [45]
419.10 because there is a 1 in the tenth place unlike the other number.
6 0
3 years ago
Read 2 more answers
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