Answer:
![A=73.8\°](https://tex.z-dn.net/?f=A%3D73.8%5C%C2%B0)
![B=8.2\°](https://tex.z-dn.net/?f=B%3D8.2%5C%C2%B0)
![c=76.3\ units](https://tex.z-dn.net/?f=c%3D76.3%5C%20units)
Step-by-step explanation:
step 1
Find the measure of side c
Applying the law of cosines
![c^{2}= a^{2}+b^{2}-2(a)(b)cos(C)](https://tex.z-dn.net/?f=c%5E%7B2%7D%3D%20a%5E%7B2%7D%2Bb%5E%7B2%7D-2%28a%29%28b%29cos%28C%29)
substitute the given values
![c^{2}= 74^{2}+11^{2}-2(74)(11)cos(98\°)](https://tex.z-dn.net/?f=c%5E%7B2%7D%3D%2074%5E%7B2%7D%2B11%5E%7B2%7D-2%2874%29%2811%29cos%2898%5C%C2%B0%29)
![c^{2}=5,823.5738](https://tex.z-dn.net/?f=c%5E%7B2%7D%3D5%2C823.5738)
![c=76.3\ units](https://tex.z-dn.net/?f=c%3D76.3%5C%20units)
step 2
Find the measure of angle A
Applying the law of sine
![\frac{a}{sin(A)}=\frac{c}{sin(C)}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bsin%28A%29%7D%3D%5Cfrac%7Bc%7D%7Bsin%28C%29%7D)
substitute the given values
![\frac{74}{sin(A)}=\frac{76.3}{sin(98\°)}](https://tex.z-dn.net/?f=%5Cfrac%7B74%7D%7Bsin%28A%29%7D%3D%5Cfrac%7B76.3%7D%7Bsin%2898%5C%C2%B0%29%7D)
![sin(A)=(74)sin(98\°)/76.3](https://tex.z-dn.net/?f=sin%28A%29%3D%2874%29sin%2898%5C%C2%B0%29%2F76.3)
![A=arcsin((74)sin(98\°)/76.3)](https://tex.z-dn.net/?f=A%3Darcsin%28%2874%29sin%2898%5C%C2%B0%29%2F76.3%29)
![A=73.8\°](https://tex.z-dn.net/?f=A%3D73.8%5C%C2%B0)
step 3
Find the measure of angle B
we know that
The sum of the internal angles of a triangle must be equal to 180 degrees
so
![A+B+C=180\°](https://tex.z-dn.net/?f=A%2BB%2BC%3D180%5C%C2%B0)
substitute the given values
![73.8\°+B+98\°=180\°](https://tex.z-dn.net/?f=73.8%5C%C2%B0%2BB%2B98%5C%C2%B0%3D180%5C%C2%B0)
![171.8\°+B=180\°](https://tex.z-dn.net/?f=171.8%5C%C2%B0%2BB%3D180%5C%C2%B0)
![B=180\°-171.8\°=8.2\°](https://tex.z-dn.net/?f=B%3D180%5C%C2%B0-171.8%5C%C2%B0%3D8.2%5C%C2%B0)
Answer: 4
Step-by-step explanation:
Using the 30°-60°-90° Triangle Theorem we know that the base side is half of the hypotenuse. That means it is half of 8 which is 4
Answer:
128 squared feet
Step-by-step explanation:
A=2(wl+hl+hw) is the formula if you multiply the edges the add then twice because of the 3d shape you get 128.
4(a-2)=3(a+4)
4a-8=3a+12
a=20
6 + 2 = 8.
If you have 6 apples and add 2 more, you have 8 apples.