Answer:
126
Step-by-step explanation:
By cyclic quadrilateral theorem:
![(180 \degree - 85 \degree) = \frac{1}{2} (z \degree + 64 \degree) \\ 95 \degree \times 2 = z \degree + 64 \degree \\ 190 \degree = z \degree + 64 \degree \\ 190 \degree - 64 \degree = z \degree \\ 126\degree = z \degree \\ z = 126](https://tex.z-dn.net/?f=%28180%20%5Cdegree%20-%2085%20%5Cdegree%29%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%28z%20%5Cdegree%20%2B%2064%20%5Cdegree%29%20%5C%5C%2095%20%5Cdegree%20%5Ctimes%202%20%3D%20z%20%5Cdegree%20%2B%2064%20%5Cdegree%20%5C%5C%20190%20%5Cdegree%20%3D%20z%20%5Cdegree%20%2B%2064%20%5Cdegree%20%5C%5C%20190%20%5Cdegree%20-%2064%20%5Cdegree%20%3D%20z%20%5Cdegree%20%5C%5C%20126%5Cdegree%20%3D%20z%20%5Cdegree%20%5C%5C%20z%20%3D%20126)
Answer:
a.2,400-1700=
b. 700: the hot air balloon decreased height by 700 feet
I hope this helps, I wrote the new equation each time you get a new number and where it should be placed
Answer:
9/32 inch diameter pin will not fit into a reamed hole with a diameter of 0.278 inch
Step-by-step explanation:
Diameter of reamed hole = 0.278 inch
Radius of reamed hole = ![\frac{0.278}{2} =0.139](https://tex.z-dn.net/?f=%5Cfrac%7B0.278%7D%7B2%7D%20%3D0.139)
Surface area of reamed hole = ![\pi r^2](https://tex.z-dn.net/?f=%5Cpi%20r%5E2)
Surface area of reamed hole = ![3.14 \times (0.139)^2](https://tex.z-dn.net/?f=3.14%20%5Ctimes%20%20%280.139%29%5E2)
Surface area of reamed hole = 0.06066794
Diameter of pin = ![\frac{9}{32}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B32%7D)
Radius of pin =![\frac{9}{64}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B64%7D)
Surface area of pin = ![\pi r^2 = 3.14 \times ( \frac{9}{64})^2=0.0620](https://tex.z-dn.net/?f=%5Cpi%20r%5E2%20%3D%203.14%20%5Ctimes%20%28%20%5Cfrac%7B9%7D%7B64%7D%29%5E2%3D0.0620)
Since the surface area of pin is more than the surface area of hole .
So, a 9/32 inch diameter pin will not fit into a reamed hole with a diameter of 0.278 inch
Answer:
21
Step-by-step explanation:
He will guess correctly 25% of the time.
He has 84 questions
25% of 84
.25 * 84
21
We should expect that he will get 21 questions correct