Answer: The central angle of the arc is 162 degrees.
Step-by-step explanation: The information available are as follows;
Circumference of the circle equals 10. Length of an arc equals 9/2. The circumference of a circle is given as;
Circumference = 2Pi x r
That means 2Pi x r = 10.
Also the length of an arc along the same circle is 9/2. Length of an arc is calculated as;
Length of arc = (X/360) x 2Pi x r
Where X is the central angle of the arc
That means;
9/2 = (X/360) x 2Pi x r
We can now substitute for the known values as follows
Length of an arc = (X/360) x 2Pi x r
9/2 = (X/360) x 10
9/2 = 10X/360
By cross multiplication we now have
(9 x 360)/(2 x 10) = X
3240/20 = X
162 = X
The angle at the center of the arc is 162 degrees.
Answer:The flag of a country contains an isosceles triangle (recall that an isosceles triangle contains two angles with the same measure) if the measure of the third angle of the triangle is 20 degrees more than twice the measure of either of the other two angles and find the measure of each angle of the triangle (Recall that the sum of the measures of the angles of a triangle is 180 degrees)
Step-by-step explanation:
Answer:
146
Step-by-step explanation:
j=3 13 = 39
g=5 13 = 65
a=4 13 = 42
Problem 1
The portion from t = 0 to t = 5 represents going downhill, which is a total duration of 5 seconds. This is because the speed is going up (the y values are increasing) as you move from right to left for this interval. It looks like you're going uphill here, but keep in mind that the y axis is not position. Instead, the y axis represents speed.
Answer: 5 seconds
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Problem 2
You have the correct table. Nice job. Don't forget to show your work if your teacher requires it.
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Problem 3
f(x) = x*|-2|^x
f(3) = 3*|-2|^3 ... replace every x with 3
f(3) = 3*(2)^3
f(3) = 3*8
f(3) = 24
The input is x = 3 which leads to the output y = 24
The ordered pair (x,y) = (3,24) is on the function curve
Answer: 24
Answer:
D
Step-by-step explanation:
