There are two (equivalent) formulas for the circumference of a circle:
C = 2 pi r, where r is the radius of the circle
C = pi d, where d is the diameter of the circle
In this particular problem, however, we're dealing with arc length. For the shown central angle "theta" = 160 degrees, the arc length is 42 cm.
Knowing this enables us to calculate the radius or diameter of the circle.
Arc length = s = (radius) (central angle, in radians, not degrees)
First, convert 160 degrees to radians: 160 deg pi rad
----------- * ------------ = (8/9) pi rad
1 180 deg
Then 42 cm = r *(8/9) pi rad
Solve for the radius (r): divide 42 cm by (8/9) pi rad
Then use the formula for circumference introduced earlier:
C= 2 pi r Substitute [42 cm / ( (8/9) pi rad )] for r.
Simplify your result, and you will then have the circumference, C, in cm.
Answer:
B. decrease the intercept, increase the slope
Step-by-step explanation:
A slope indicates the steepness of a line while the intercept points the location where it intercepts its axis. The linear relationship between can be defined using the intercept and the slope. Both concepts are used to estimate the average range of change. Since we are trying to add a peak current value of 0.38 which is lesser than the average, the intercept of the graph would therefore decrease and the slope increase.
44 the total volume of this composite solid is 896
Answer:
6.25%
Step-by-step explanation:
Total = 1 ; as a decimal
1/2 = skittles
1/4 = M&Ms
Skittles +M&Ms = 1/2 + 1/4 = 3/4
Remainder = 1 - 
Remainder = 
Sour patch = 
As a percentage , multiply 1/16 by 100 and it becomes 6.25%
Answer:
x=-15, y=25. (-15, 25).
Step-by-step explanation:
2x+3y=45
x+y=10
--------------
x=10-y
2(10-y)+3y=45
20-2y+3y=45
20+y=45
y=45-20
y=25
x+25=10
x=10-25
x=-15
