Answer:
Step-by-step explanation:
If f(n) = 8n - 3
f(5) = 8(5) - 3
= 40 - 3
= 37
It depends on how big you want the cookies to be.1 1/2 cups of sugar thought
Answer:
108 m
Step-by-step explanation:
If the shadow is 0.8 m but actual parking meter is 1.2 m it means the shadow shrinks original by a factor of
similarly, if the shadow for the building is 72 m it means it has already been shrunk by a factor of
and to get the actual height of the building then we can say that the height be A
![A\times \frac {2}{3}=72\\A=\frac {72\times 3}{2}=108 m](https://tex.z-dn.net/?f=A%5Ctimes%20%5Cfrac%20%7B2%7D%7B3%7D%3D72%5C%5CA%3D%5Cfrac%20%7B72%5Ctimes%203%7D%7B2%7D%3D108%20m)
Therefore, the actual building is 108 m
Answer:
Part 1)
see the procedure
Part 2) ![m\angle PNQ=\frac{1}{2}[arc\ PQ]](https://tex.z-dn.net/?f=m%5Cangle%20PNQ%3D%5Cfrac%7B1%7D%7B2%7D%5Barc%5C%20PQ%5D)
Part 3) The angles are not congruent. The measure of angle PNQ is half the measure of angle POQ
Step-by-step explanation:
Part 1) Describe the relationship between angle POQ and arc PQ
we know that
<u><em>Central angl</em></u>e is the angle that has its vertex in the center of the circumference and the sides are radii of it
we have that
----> by central angle
Part 2) Describe the relationship between angle PNQ and arc PQ
we know that
The <u><em>inscribed angle</em></u> is half that of the arc it comprises.
In this problem, the angle PNQ is an inscribed angle
so
![m\angle PNQ=\frac{1}{2}[arc\ PQ]](https://tex.z-dn.net/?f=m%5Cangle%20PNQ%3D%5Cfrac%7B1%7D%7B2%7D%5Barc%5C%20PQ%5D)
Part 3) Are the angle POQ and PNQ congruent?
The angles are not congruent, because
![m\angle POQ=arc\ PQ](https://tex.z-dn.net/?f=m%5Cangle%20POQ%3Darc%5C%20PQ)
![m\angle PNQ=\frac{1}{2}[arc\ PQ]](https://tex.z-dn.net/?f=m%5Cangle%20PNQ%3D%5Cfrac%7B1%7D%7B2%7D%5Barc%5C%20PQ%5D)
substitute
![m\angle PNQ=\frac{1}{2}[m\angle POQ]](https://tex.z-dn.net/?f=m%5Cangle%20PNQ%3D%5Cfrac%7B1%7D%7B2%7D%5Bm%5Cangle%20POQ%5D)
therefore
The measure of angle PNQ is half the measure of angle POQ
Answer:
t = 2.25
Step-by-step explanation:
To find t, divide each side by 4.
9 = 4t
Divide 9 by 4:
2.25 = t
So, t = 2.25