Sector area = 0.5 * r^2 * angle (in radians)
so:
16 pi = 0.5 * r^2 * (90*pi/180)
r^2 = 16 pi /(0.25 pi) = 64
r = 8
therefore it would be d
Answer:
12.5
Step-by-step explanation:
.25 x 50= 12.5
Answer:A
Step-by-step explanation:I’m pretty sure that the answer is rotation because it is clear that the triangle rotated over the graph.
The probability of picking a blue jelly bean is 10/12=0.833, since there are 10 blue and 12 jelly beans in total.
Each time the probability of picking blue is the same, since put back in the box whatever jelly bean we pick
P(blue, blue, blue) = P(blue) × P(blue) × P(blue) = 0.833×0.833×0.833=0.579
Answer: 0.579
Answer: (x,y) = (-1, 1)
This means that x = -1 and y = 1
========================================================
Explanation:
The first equation says that y is the same as 2x+3
That allows us to substitute y for 2x+3 in the second equation like so:
2x+5y = 3
2x+5( y ) = 3
2x + 5(2x+3) = 3 .... y replaced with 2x+3
2x+10x+15 = 3
12x+15 = 3
12x = 3-15
12x = -12
x = -12/12
x = -1
Then we'll substitute this into the first equation to find y
y = 2x+3
y = 2(-1) + 3 .... x replaced with -1
y = -2+3
y = 1
Together x = -1 and y = 1 pair up to form the ordered pair solution (x,y) = (-1,1)
If you were to graph y = 2x+3 and 2x+5y=3 on the same xy grid, then you should see that the two lines intersect at the location (-1,1). This is a visual way to determine the solution quickly through use of a graphing calculator.
