Answer:

Step-by-step explanation:
we know that
The measure of central angle ABC is
radians
so

subtends the complete circle
The area of the shaded sector is the area of a quarter circle
so
The area of a quarter circle is equal to

we have

substitute

Answer:
59.7 degrees
Step-by-step explanation:
see attached
5. a.) 8.73/450x100=1.94
b.) 8.73/450≈0.02
c.) 450/8.73x25≈1289
7 a.) 622/12≈52km per hour
b.) 622/0.5=1244 km per hour ( that's .......impossible...)
Those are your answers.
36 x 0.9 = answer
you can use a calculator
Isolate the variable, note the equal sign, what you do to one side, you do to the other.
1) 4k = 24
Isolate the variable, k. Divide 4 from both sides of the equation:
(4k)/4 = (24)/4
k = 24/4
k = 6
2) 34 + h = 60
Isolate the variable, h. Subtract 34 from both sides of the equation:
34 (-34) + h = 60 (-34)
h = 60 - 34
h = 26
3) 1/5x = 30
Isolate the variable, x. Multiply 5 to both sides of the equation:
(5) * (1/5)x = (30) * (5)
x = 30 * 5
x = 150
4) m - 42 = 85
Isolate the variable, m. Add 42 to both sides of the equation:
m- 42 (+42) = 85 (+42)
m = 85 + 42
m = 127
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