Answer:
38.1 cm²
Step-by-step explanation:
area of full circle = π6² = 113.04 cm²
area of 150° segment = (150/360)(113.04) = 47.1 cm²
triangle base = sin 75° x 6 x 2 = 11.59
triangle height = cos 75° x 6 = 1.553
area of triangle = 1/2(11.59)(1.553) = 9 cm²
150° segment - triangle = 47.1 - 9 = 38.1 cm²
Answer: -62
Step-by-step explanation:
9( a + 2b) + c
Substitute correct values for all a, b and c.
9( -3 + 2(-2) ) + 1
9( -3 - 4 ) + 1
9(-7) + 1
-63 + 1
-62.
Answer:
That is 74 years.
Step-by-step explanation:
1.5% = 0.015.
The equation for the rate of growth is P = 430,000(1.015)^n where n is the number of years.
Triple the population is 430,000 * 3 = 1,290,000, so:
1,290,000 = 430,000(1.015)^n
(1.015)^n = 1290,000 / 430,000 = 3
Taking logs of both sides:
n log 1.015 = log 3
n = log 3 / log 1.015 = 73.8 years