Answer:
148 degrees!
Step-by-step explanation:
They are 180 degrees together so just subtract 32. 180- 32 = 148.
Given:
The equation is

To find:
The solution of the given equation.
Solution:
We have,

It can be written as


Multiply both sides by 7.




Divide both sides by 7.


Therefore, the value of z is -2.
Answer:
-1 and 10
Step-by-step explanation:
I just took the quiz
Answer:
101.9 sq ft
Step-by-step explanation:
The figure is missing: find it in attachment.
Here we want to find the lateral surface area of the figure, which is the sum of the areas of all faces.
We have in total 5 faces:
- 1 of them is rectangle with sizes (8.5 ft x 3.3 ft), so its area is

- 1 of them is a rectangle with sizes (3.3 ft x 5.1 ft), so its area is

- 1 of them is a rectangle with sizes (6.8 ft x 3.3 ft), so its area is

- Finally, we have 2 triangular faces (top and bottom), so their area is

where
b = 5.1 ft is the base
h = 6.8 ft is the height (because the triangle is a right triangle)
So the area of the triangle is

So the total lateral surface area of the figure is:

Answer:
The sample size required is at least 171
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
What sample size is required?
A samle size of at least n is required, in which n is found when 
So






Rouding up
The sample size required is at least 171