Answer:
d. 89°
Step-by-step explanation:
The given measure of the angles formed are;
m∠AED = 48°, m
= 175°
According to circle theorem, the angle formed by a chord and a tangent of a circle is given by half of the measure of the arc intercepted by the chord in the direction of the angle;
Therefore;
m∠AED = (1/2) × m
= 48°
∴ m = 2 × 48° = 96°
m∠AEF = (1/2) × m
m + m = 360° (angle round a circle)
∴ m = 360° - m = 360° - 96° = 264°
m = m + m
∴ m = m - m = 264° - 175° = 89°
m = 89°.
Answer:
38,674.This area represents the increase in population over a 10-year period.
Step-by-step explanation:
When graphed over the interval 0 ≤ t ≤ 10, the birth rate is more than the death rate. This means the area between the two curves is the amount of births subtract the amount of deaths. This results in an area which means the increase of the population.
The birth rate is graphed in green and the death rate is graphed in blue.
To find the area, take the integral of the difference of the functions:
The expression to evaluate is 32 + (8 - 2) * 4 - 6/3.
In the first step you can solve the parenthesis and the fraction => 32 + (6)*4 - 2.
In the second step you mutiply 6*4 => 32 + 24 - 2.
Finally, you do the maths: 32 + 24 - 2 = 54.
<span>Answer: 54</span>
It's B, I'm doing my online school assignment and this was the correct answer.
the formula for volume of a prism is base x height
