Answer:
10.95
Step-by-step explanation:
The area of the trapezoid is given by:
A = (1/2) * (b1 + b2) * (h)
Where,
b1, b2: bases of the trapezoid
h: height
Substituting values we have:
91 = (1/2) * ((2 * 7) + b2) * (7)
Rewriting we have:
91 = (1/2) * (14 + b2) * (7)
(2/7) * 91 = 14 + b2
b2 = (2/7) * 91 - 14
b2 = 12 m
Answer:
The measure of the other base of the trapezoid is:
b2 = 12 m
Answer:
Step-by-step explanation:
Given that: Training-session duration of female rowers with normal iron status is Normally distributed, with mean 69 minutes and standard deviation 18minutes.
Solution:
z score shows the relationship between sample means. The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by the formula:

Given that μ = 69 minutes, σ = 18 minutes, n = 24
For x > 63 minutes:

From the distribution table, P(x > 63) = P(z > -1.63) = 1 - P(z < 1.63) = 1 - 0.0516 = 0.9484
Using the sine law of triangles to solve for angle C:
b / sin B = c / sin C
C = arcsin (c * sin B / b)
C = 30.7<span>°
Since interior angles of a triangle always add up to 180</span><span>°, we can use this to solve for angle A:
angle A = 180</span>° - 73° - 30.7<span>°
angle A = 76.3</span><span>°
Having solved for angle A, we can solve for side a using the sine law.
a / sin A = b / sin B
a = b * sin A / sin B
a = 15.2
Therefore, the correct answer is B.</span>