6 =
6c = 30 Divide both sides by 6
c = 5
determine the length of a chord whose central angle is 75° in the circle with the radius of 12 inches.
1 answer:
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6 =
6c = 30 Divide both sides by 6
c = 5
Problem 33
Use the distributive property on the side containing parentheses of each expression and compare it to the other side.
a) 3(5a + 3) = 15a + 9 not equal to 15a + 6
b) 2(7b - 2) = 14b - 4 not equal to 14b + 4
c) 5(2c + 3) = 10c + 15 not equal to 7c + 8
d) 3(d + 5/3) = 3d + 5 which is equal to 3d + 5
Answer for problem 33: d)
Problem 34
Use a proportion. Let the unknown number of bowls be x. The proportion is made up of two ratios that are set equal to each other. Set each ratio as a ratio of the number of avocados per bowls of guacamole. 3 avocados per 1 bowl (3/1) equals 17 avocados per x bowls (17/x).
Answer: 17/3 full bowls which is the same as 5 2/3 full bowls.
For this case we must find the product of the following expression:
We combine using the product rule for radicals:
So, we have:
We rewrite the 216 as
By definition of properties of powers and roots we have:
Then, the expression is:
Answer:
Option D