Circle A’s circumference is 3 times the value of Circle B’s Area. Find Circle B’a radius.
1 answer:
(side note: your formula C = 2πr^2 is incorrect, it should be C = 2πr)
Answer:
r = 9
Step-by-step explanation:
First let's find the circumference of Circle A. To use the formula we need radius. Since we have a diameter just divide by 2 to get radius. 27 / 2 = 13.5
Now plug that into C = 2πr: 2π*(13.5) = 27π
The question says that the area of circle B is 3x this value, so Circle B's area must be: 27π * 3 = 81π
Now plug that into A = πr^2 and solve for r:
(edited to correct a brain fart)
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Answer:
YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
Step-by-step explanation:
Given
Given that the function f(x) and g(x) are inverse functions.
To determine
Let us determine whether f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
<u>Determining the inverse function of f(x) </u>
A function g is the inverse function of f if for y = f(x), x = g(y)
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YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
Answer:
a) Dice and spinner are different objects, with no relation between themselves, and thus her dice rolls and spinning outcomes are independent.
b) probability of her rolling a 4 and spinning an 8.
c) probability of her rolling an even number and spinning a number less than 3.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
A) Are her dice rolls and spinning outcomes independent or dependent?
Dice and spinner are different objects, with no relation between themselves, and thus her dice rolls and spinning outcomes are independent.
B) What is the probability of her rolling a 4 and spinning an 8?
Since the events are independent, we find each separate probability and multiply them.
Probability of rolling a 4:
One side out of 6 on the dice. So
Probability of spinning an 8:
One side out of 8 on the spinner. So
Probability of rolling a 4 and spinning an 8:
probability of her rolling a 4 and spinning an 8.
C) What is the probability of her rolling an even number and spinning a number less than 3?
Since the events are independent, we find each separate probability and multiply them.
Probability of rolling an even number:
2, 4 or 6(3 sides out of 6). So
Probability of spinning a number less than 3:
Two numbers(1 or 2) out of 8 on the spinner. So
Probability of rolling an even number and spinning a number less than 3:
probability of her rolling an even number and spinning a number less than 3.