Given:
Height of man = 6 ft
Height of man's shadow = 11 feet
Height of building's shadow = 139 feet
To find:
The height of the building.
Solution:
We know that the heights of the objects and there shadows are always proportional.

Let x be the height of the building.

Multiply both sides by 139.




Therefore, the building is 75.8 feet long.
Answer:
The answer is below
Step-by-step explanation:
Given that mean (μ) = 23 hours, standard deviation (σ) = 10 hours
a) The population is a group of self employed home based workers while the variable is the number of hours worked per week.
b) The mean of the distribution of sample means (also known as the Expected value of M) is equal to the population mean μ.

The standard deviation of the distribution of sample means is called the Standard Error of M, it is given by:

c) 

d) The sample size has no effect on the mean, hence increasing the sample size does not change the mean.
The square root of sample size is inversely proportional to the standard deviation therefore increasing the sample size reduces the standard deviation.
Answer:
vertex form automatically gives you your vertex and your y intercept so all you need to do is graph. Hope this helps
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
h(x) + k(x) = x² + 1 + x - 2 = x² + x - 1
(h + k)(2) = 2² + 2 - 1 = 4 + 2 - 1 = 5
h(x) - k(x) = x² + 1 - (x - 2) = x² + 1 - x + 2 = x² -x + 3
(h - k)(3) = 3² - 3 + 3 = 9 - 3 + 3 = 9
h(2) = 2² + 1 = 4 + 1 = 5
k(3) = 3 - 2 = 1
3h(2) + 2k(3) = (3 × 5) + (2 × 1) = 15 + 2 = 17
Answer:
∠ A = 50°
Step-by-step explanation:
The angle adjacent to 145° inside the triangle is
180° - 145° = 35°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
85° is an exterior angle of the triangle , then
∠ A + 35° = 85 ( subtract 35° from both sides )
∠ A = 50°