Answer:
Part 1) ![c=21.9\ units](https://tex.z-dn.net/?f=c%3D21.9%5C%20units)
Part 2) ![B=61.1\°](https://tex.z-dn.net/?f=B%3D61.1%5C%C2%B0)
Part 3) ![A=28.9\°](https://tex.z-dn.net/?f=A%3D28.9%5C%C2%B0)
Part 4) ![C=90\°](https://tex.z-dn.net/?f=C%3D90%5C%C2%B0)
Step-by-step explanation:
step 1
Find the length side c
Applying the Pythagoras Theorem
![c^{2}=a^{2}+b^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D%3Da%5E%7B2%7D%2Bb%5E%7B2%7D)
substitute the given values
![c^{2}=10.6^{2}+19.2^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D%3D10.6%5E%7B2%7D%2B19.2%5E%7B2%7D)
![c^{2}=481](https://tex.z-dn.net/?f=c%5E%7B2%7D%3D481)
![c=21.9\ units](https://tex.z-dn.net/?f=c%3D21.9%5C%20units)
step 2
Fin the measure of angle B
we know that
In the right triangle
![tan(B)=b/a](https://tex.z-dn.net/?f=tan%28B%29%3Db%2Fa)
substitute the given values
![tan(B)=19.2/10.6](https://tex.z-dn.net/?f=tan%28B%29%3D19.2%2F10.6)
![B=arctan(19.2/10.6)=61.1\°](https://tex.z-dn.net/?f=B%3Darctan%2819.2%2F10.6%29%3D61.1%5C%C2%B0)
step 3
Find the measure of angle A
we know that
The measure of interior angles in a triangle must be equal to 180 degrees
so
∠A+∠B+∠C=180°
Remember that in a right triangle the measure of angle C is 90 degrees
we have
![B=61.1\°](https://tex.z-dn.net/?f=B%3D61.1%5C%C2%B0)
![C=90\°](https://tex.z-dn.net/?f=C%3D90%5C%C2%B0)
substitute
![A+61.1\°+90\°=180\°](https://tex.z-dn.net/?f=A%2B61.1%5C%C2%B0%2B90%5C%C2%B0%3D180%5C%C2%B0)
![A=28.9\°](https://tex.z-dn.net/?f=A%3D28.9%5C%C2%B0)
Mug- $4.29 per mug
T-shirt-$9.50 per T-shirt
Answer:
ok so this is just multiplycation
30% is also 0.3 so
280*0.3=84
84 minutes or
1 hour 24 minutes
Hope This Helps!!!
We will need to find the area of the circle. We will use this formula:
A =
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
* radius^2
The question says we will use 3.14 for
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
.
And we know radius is equal to 22.
A = 3.14 * 22^2
A = 3.14 * 484
A = 1519.76
Round to the nearest tenth.
A = 1519.8
So, the maximum area the sprinkler can water is <span>1519.8</span> ft squared.
EDIT:
I found a mistake in my answer.
Answer:
total points on the 4 tests- 94x4= 376
376- 85= 291
291/3= D. 97