What we know:
shape is circular
Area=64π yr²
Area=πr²
circumference=2πr
In order to find circumference we need r=radius. We can use the area to find r by solving for r using substitution of the information we know above.
Area=πr²
64π=πr² substitution
64π/π=π/πr² multiplicative inverse
64=r²
√64=√r² properties of radicals
8=r We would get two solutions, a positive and negative one but we will only use the positive solution since radius is positive
Circumference=2πr
C=2π(8)=16π yards
2x+6=96
2(45)+6
90+6=96
96=96
hope this helps u out!
93 is 60 percent from the original price.
The discount reduces the original price by 40 percent.
Step-by-step explanation:
With each draw, the probability of selecting a green marble is 2/3 and the probability of selecting a yellow marble is 1/3.
To pick two of the the same color, they can either pick green twice or yellow twice.
P = (2/3)(2/3) + (1/3)(1/3)
P = 5/9
To pick two different colors, they can either pick green first then yellow, or yellow first then green.
P = (2/3)(1/3) + (1/3)(2/3)
P = 4/9
Expected value for Derek is:
D = (5/9)(-1) + (4/9)(1)
D = -1/9
The expected value for Mia is:
M = (5/9)(1) + (4/9)(-1)
M = 1/9
Answer:
x > -2.5
Step-by-step explanation:
1) 5.1 (3 + 2.2x) > -14.25 - 6 (1.7x + 4)
2) 15.3 + 11.22x > -14.25 - 10.2x - 24
3) 15.3 + 11.22x > -38.25 - 10.2x
4) 11.22x + 10.2x > -38.25 - 15.3
5) 21.42x > -53.55
6) x > -2.5
Alternate forms
x > -5/2x or x > -2 1/2
