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emmainna [20.7K]
3 years ago
13

The area of this circle is 72 (3.14) m squared what is the area of a 45 degree sector of this circle

Mathematics
1 answer:
Eddi Din [679]3 years ago
5 0
45º is 1/8 of a circle. 
So, divide 72π by 8 to get the answer. 
72π / 8 = 9π 
The area of the sector is 9π. 
Hope this helps!
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What is the surface area of a cylinder with a diameter of 8 and a height of 18?Express the answer in terms of pi
viktelen [127]

Step-by-step explanation:

diameter: 8

radius: 4

height: 18

A=2\pi rh+2\pi r^2\\A=2\pi(4)(18)+2\pi(4)^2\\A=2\pi(72)+2\pi(16)\\A=144\pi+32\pi\\A=176\pi

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3 years ago
Ann and Tom want to establish a fund for their​ grandson's college education. What lump sum must they deposit at an 8.2​% annual
GaryK [48]
Compound interest formula = a=P(1+r/n)^nt

P= lump sum to deposit (solving for)

A= amount accumulated over the entire time (20000)

n= number of times interest is compounded annually (1)

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20000=P(1.082)^15
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7 0
3 years ago
Read 2 more answers
Write an equation of the perpendicular bisector of the segment with the endpoints (8,10) and ( -4,2).
ale4655 [162]

Answer:

The required equation is:

y = -\frac{3}{2}x+9

Step-by-step explanation:

To find the equation of a line, the slope and y-intercept is required.

The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.

Given points are:

(x_1,y_1) = (8,10)\\(x_2,y_2) = (-4,2)

We will find the slope of given line segment first

m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{2-10}{-4-8}\\=\frac{-8}{-12}\\=\frac{2}{3}

Let m_1 be the slope of perpendicular bisector then,

m.m_1 = -1\\\frac{2}{3}.m_1 = -1\\m_1 = \frac{-3}{2}

Now the mid-point

(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\= (\frac{8-4}{2} , \frac{10+2}{2})\\=(\frac{4}{2}, \frac{12}{2})\\=(2,6)

We have to find equation of a line with slope -3/2 passing through (2,6)

The equation of line in slope-intercept form is given by:

y = m_1x+b

Putting the value of slope

y= -\frac{3}{2}x+b

Putting the point (2,6) to find the y-intercept

6 = -\frac{3}{2}(2)+b\\6 = -3+b\\b = 6+3 =9

The equation is:

y = -\frac{3}{2}x+9

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Ymorist [56]

Answer:

The answer is B

Step-by-step explanation:

hope that helps

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3 years ago
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What is the sum of the following infinite series?<br> 5+ 15/7 + 45/49 + 135/343
liberstina [14]

Answer:

C. 35/4

Step-by-step explanation:

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