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Mumz [18]
3 years ago
6

What is the inequality of 3x+7<9

Mathematics
1 answer:
igomit [66]3 years ago
4 0
The answer is = x < 2/3
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If the area of a sector is 100 ft^2 and the radius of the circle is 22 ft what is the central angle measure for that sector and
ahrayia [7]

Answer:

\displaystyle \theta=0.413\ rad

<em>L= 9.086 feet</em>

Step-by-step explanation:

<u>Area of a Circular Sector</u>

Given a circle of radius r, the area of a circular sector defined by a central angle θ (in radians) is given by

\displaystyle A=\frac{1}{2}r^2\theta

And the length of the arc is:

L=\theta r

We know the area of the sector is 100 square feet and the radius is r=33 ft, thus:

\displaystyle 100=\frac{1}{2}r^2\theta

Solving for θ:

\displaystyle \theta=\frac{200}{r^2}

\displaystyle \theta=\frac{200}{22^2}

\displaystyle \theta=0.413\ rad

The arc length is:

L=0.413* 22

L= 9.086 feet

6 0
3 years ago
Last year, the track team's yard sale earned $500. This year the yard sale earned 5625. What is
Tom [10]

Step-by-step explanation:

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8 0
2 years ago
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Please show your work.
levacccp [35]

The amount of money you have is $ 20864.521

<h3><u><em>Solution:</em></u></h3>

Given that you invested $15,000 dollars for 11 years at 3% annual interest compounded continuously.

To find: total amount of money

<em><u>The compound interest formula for compounded continously is given as:</u></em>

A = p e^{rt}

Where "p" is the principal

"r" is the rate of interest

"t" is the number of years

Here in this problem, p = 15000

t = 11 years

r = 3 \% = \frac{3}{100} = 0.03

<em><u>Substituting the values in formula we get,</u></em>

A = 15000e^{0.03 \times 11}\\\\A = 15000e^{0.33}\\\\A = 15000 \times 1.390968\\\\A = 20864.521

Thus the amount of money you have is $ 20864.521

5 0
3 years ago
20 X3/5 in simplest form
alexandr402 [8]

Answer:

12

Step-by-step explanation:

20 and donominator 5 cancel out

4*3=12

6 0
3 years ago
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What's the area of this tile?​
adelina 88 [10]

the area of the tile is 24 in^2

4 0
3 years ago
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