Answer:
22.34 ![{km}^{2}](https://tex.z-dn.net/?f=%7Bkm%7D%5E%7B2%7D)
Step-by-step explanation:
The area of a circle:
A = π![r^{2}](https://tex.z-dn.net/?f=r%5E%7B2%7D)
The problem gives the diameter of a circle, which is equal to 2*r.
If 5 1/3 = 2*r, then the radius is (16/3)/2 = 8/3.
Plugging this into the area equation,
A = π*![{{8/3}}^{2}](https://tex.z-dn.net/?f=%7B%7B8%2F3%7D%7D%5E%7B2%7D)
A =
or approximately 22.34 ![{km}^{2}](https://tex.z-dn.net/?f=%7Bkm%7D%5E%7B2%7D)
Answer: C) P(blue) = 70%, P(green) = 30%, P(blue and green) = 21%
Step-by-step explanation:
Given probabilities P(A) AND P(B) are independent, the probability that both events to occur is given by:
P(A)∩P(B)
thus from the example, independent events will be:
P(blue)=70%, P(green)=30%, P(blue and green)=21%
Because:
P(blue)∩P(green)=0.7×0.3=0.21=21%
Answer:
x = 7
Step-by-step explanation:
![2log_5(x-3)-log_58= log_52\\\\2log_5(x-3) =log_52+log_58\\\\2log_5(x-3) =log_5(2\times 8) \\\\2log_5(x-3) =log_516\\\\2log_5(x-3) =log_54^2 \\\\2log_5(x-3) =2 log_54 \\\\log_5(x-3) =log_54 \\\\x - 3 = 4\\\\x = 4+3\\\\\huge \orange { \boxed{x = 7}}](https://tex.z-dn.net/?f=2log_5%28x-3%29-log_58%3D%20log_52%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E2log_5%28x-3%29%20%3Dlog_52%2Blog_58%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E2log_5%28x-3%29%20%3Dlog_5%282%5Ctimes%208%29%20%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E2log_5%28x-3%29%20%3Dlog_516%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E2log_5%28x-3%29%20%3Dlog_54%5E2%20%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E2log_5%28x-3%29%20%3D2%20log_54%20%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3Elog_5%28x-3%29%20%3Dlog_54%20%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3Ex%20-%203%20%3D%204%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3Ex%20%3D%204%2B3%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%5Chuge%20%5Corange%20%7B%20%5Cboxed%7Bx%20%3D%207%7D%7D%3C%2Fp%3E%3Cp%3E)
Answer:
x = 133
Step-by-step explanation:
Supplementary angles add to 180 degrees. Call the unknown angle x
47 +x = 180
Subtract 47 from each side
47-47+x =180-47
x = 133
Answer:
answer: 2:2
Step-by-step explanation:
1:2+2:2 to get 3:4