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Ratling [72]
2 years ago
11

What is the area of a sector with a central angle of 10π/7 radians and a radius of 18.4 m? Use 3.14 for π and round your final a

nswer to the nearest hundredth. Enter your answer as a decimal in the box.
Mathematics
1 answer:
balandron [24]2 years ago
8 0

Area of sector= \frac{\Theta}{360}\times \Pi \times r^{2}

Area =\frac{10\Pi }{7 }\times \frac{1}{360}\times \Pi \times (18.4)^{2}

Area = \frac{1800 }{7 }\times \frac{1}{360}\times (3.14) \times (18.4)^{2}

So, Area of the given sector= 759.34 square meters.

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Calculate the average rate of change of the function f(x) = mx + b over the interval 2 ≤ x ≤ 13.
Nesterboy [21]

Answer:

m

Step-by-step explanation:

The slope of a line is constant. This means no matter the two points on the line that you use to calculate the slope you will get the same number for the slope. Your equation is in slope-intercept form, y=mx+b where m is slope and b is y-intercept. So your equation is in that exact form with the same use of constant numbers m and b where m is slope and b is y-intercept.

So the answer is m.

However, we could use slope formula = change in y divided by change in x.

Change in y from x=2 to x=13 is [(m(13)+b)-m(2)+b)]=13m+b-2m-b=13m-2m+b-b=11m+0=11m.

Change in x is 13-2=11.

So the slope is 11m/11=m.

4 0
2 years ago
Randy ordered 3 T-shirts for $25.67 each and one skirt for $23.55 and an 8% tax. What is the total cost of the order?
DerKrebs [107]
KP - break this one down to three parts: Total cost of shirts, total cost of shirts and the skirt, and then including tax. 

3 T-shirts for $25.67 each would be 3 * 25.67 = 77.01
Shirts and skirt would be 77.01 + 23.55 = 100.56
Tax can be found quite a few different ways, the easiest of which would be multiplication. 

8% = .08

100.56 (total cost of clothes) * .08 (tax) = $8.05

Now just add tax and total cost of the clothes. Because of rounding, our answer might be slightly different but that's okay because it's multiple choice and only 1 answer makes sense!

3 0
3 years ago
Read 2 more answers
Simplify the expression? <br><br><br>-3 <br><br><br>-5<br><br><br>5<br><br><br>9/5
inysia [295]
The simplified expression is 9/5

5 0
3 years ago
Read 2 more answers
What is 21 round to the nearest hundredth
gregori [183]

Answer:

0

Step-by-step explanation:

21<50 so it rounds down:)

3 0
3 years ago
Read 2 more answers
4/9(x + 13) =8 <br>what is the value of the x​
erik [133]

Answer:

x=5

Step-by-step explanation:

7 0
2 years ago
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