Answer:
![m(n) = 24 (0.75)^n](https://tex.z-dn.net/?f=m%28n%29%20%3D%2024%20%280.75%29%5En)
Step-by-step explanation:
1) <u>The two points are</u>:
a) On the first swing she swings forward by 18 degrees: <em>(1, 18)</em>
b) On the second swing she only comes 13.5 degrees forward: <em>(2,13.5)</em>
2) <u>The general equation using the form given is</u>:
![m(n)=A(B)^n](https://tex.z-dn.net/?f=m%28n%29%3DA%28B%29%5En)
3) <u>Substitute the two points</u>:
![18=A(B)\\ \\ 13.5=A(B)^2](https://tex.z-dn.net/?f=18%3DA%28B%29%5C%5C%20%5C%5C%2013.5%3DA%28B%29%5E2)
4) <u>Divide the second equation by the first one</u>:
⇒ 13.5 / 18 = B
⇒ B = 0.75
5) <u>Substitue B = 0.75 into the first equation</u>:
18 = A (0.75) ⇒ A = 18 / 0.75 = 24
Hence, the equation is:
![m(n) = 24 (0.75)^n](https://tex.z-dn.net/?f=m%28n%29%20%3D%2024%20%280.75%29%5En)
Answer:
<h2><u>[D] 13.9</u></h2>
Explanation:
- <em>Pythagorean theorem: a² + b² = c²</em>
- <em>Solve for hypotenuse (side x) using: c = √a² + b²</em>
12.8² + 5.3² = 191.93
√191.93
= 13.8538803229
<em>Round the answer</em>
13.9
Answer:
The closest measurement to the volume of hat is 84.82 in.³.
Step-by-step explanation:
Given:
The dimensions of hat are height(h) 9 inches and diameter(d) 6 inches.
Now, to find the volume of cone:
Putting the formula
.
Radius(r) is not given, finding the radius:
Radius(r)=half of the diameter(d)
![r=\frac{d}{2}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bd%7D%7B2%7D)
![r=\frac{6}{2}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B6%7D%7B2%7D)
.
Then, ![\frac{1}{3}\pi r^{2}h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E%7B2%7Dh)
=
=
(
)
=![\frac{1}{3} \times254.34](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes254.34)
=![\frac{254.34}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B254.34%7D%7B3%7D)
=
in.³
So, the volume is 84.78 in.³ .
Therefore, the closest measurement to the volume of hat is 84.82 in.³.
Answer:
30 ft
Step-by-step explanation:
Multiply the scale factor by the wall given.
45 X 8 in = 360 in
Convert inches into feet. (12 inches = 1 foot)
360/12 = 30 feet
Answer:
TH VALUE OF Y IS......98 DEGREES
Step-by-step explanation: