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CaHeK987 [17]
3 years ago
13

How long is the arc subtended by an angle of 9π/5 radians on a circle of radius 30 cm?

Mathematics
1 answer:
Naily [24]3 years ago
7 0

Answer:

54π

Step-by-step explanation:

54π is correct. (9π/5)(30)= 54π

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Write an equation in slope-intercept form that goes through (12, 4) and (20,8).
spayn [35]

Answer:

Equation in slope-intercept form that goes through (12, 4) and (20,8) is: y = \frac{1}{2}x-2

Step-by-step explanation:

Given two points are:

(x_1,y_1) = (12,4)\\(x_2,y_2) = (20,8)

Slope intercept form of line is given as:

y = mx+b

Here m is the slope of the line and b is the y-intercept.

Slope of a line is calculated by the formula:

m = \frac{y_2-y_1}{x_2-x_1}

Putting the values

m = \frac{8-4}{20-12}\\m = \frac{4}{8}\\m=\frac{1}{2}

Putting the value of slope in slope-intercept form we get

y = \frac{1}{2}x+b

To find the value of b, any one point will be put in the equation

Putting the first point (12,4) in the equation

4 = \frac{1}{2}(12) + b\\4 = 6+b\\b = 4-6\\b = -2

Putting the value of b

y = \frac{1}{2}x-2

Hence,

Equation in slope-intercept form that goes through (12, 4) and (20,8) is: y = \frac{1}{2}x-2

4 0
3 years ago
John left school with 8.43 he found a quarter on his way home and then stopped to buy an Apple for 0.89 . how much money did he
larisa [96]

Answer:

7.79

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Me Value of Money: Practice
Tatiana [17]

Answer:

$3952.13

Step-by-step explanation:

Annuity amount = future value / annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

FV = Future value = $75,000  

R = interest rate = 8%

N = number of years = 12

Annuity factor = [(1/08)^12 - 1 ] / 0.08 = 1.8977126

Annuity amount = $75,000 / 1.8977126 = $3952.13

3 0
3 years ago
AB contains the points A(7, -11) and B(8,17). find the slope of a line perpendicular to AB
Molodets [167]
If a line were to be perpendicular from said points, the slope of it would be -1/28. Hope this helps!
6 0
3 years ago
Read 2 more answers
Adam drew two same size rectangles and divided them into the same number of equal parts. He shaded 1/3 of one rectangle and 1/4
MArishka [77]

he divided each rectangle in 12 identical parts

for the first rectangle he shaded 1/3 of 12 = 4 parts

for the second rectangle he shaded 1/4 of 12= 3 parts


so 12= 3*4 leads to a minimum of 12 parts

:)

6 0
3 years ago
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