There are two equal sides of 8, which means this is an isosceles triangle. With an isosceles triangle, there are also two equal angles (30° each in this case). If angle C equals 30°, then angle B also equals 30°. Subtract angles B and C from the total degrees in a triangle.
Triangles Degrees= 180° total
Find angle A:
= total triangle degrees - < B - < C
= 180° - 30° - 30°
= 120°
ANSWER: Angle A is (B) 120°
Hope this helps! :)
Answer:
-2
Step-by-step explanation:
If you substitute x for 4, you have -4+2 to get -2.
Answer:
No
Step-by-step explanation:
It depends on the shape of the stage, generally, the stage is cuboidal or cubical in shape, so assuming the stage is cuboidal.
Here, the spotlight has top cover the minimum angle of 90° (for a corner position of the spotlight.
Now, compute how much angles the spotlight can cover.
From its central position, the spotlight can rotate 25° to the left or right, so, angle covered due to rotation is 25°+25°=50°.
As the beam of light from the spotlight can spread 22°.
So, the total angle covered by spotlight= 50° + 22°=72°, which is less than the minimum angle required to cover the entire stage.
Hence, the designer can't use the spotlight to light each of the objects on the stage.
Answer:
–322.25 > –241.75
Step-by-step explanation:
Answer and Step-by-step explanation:
You are correct in that we need to use the Law of Sines: 
.
Here, when we use the Law of Sines, we have: 
.
Cross multiply:
(sinB) * 28 = (sin63) * 29
28sinB ≈ 25.839
sinB ≈ 0.9228
Now, in order to solve for B, we need to use inverse sin (
):
The sines on the left cancel out, and we're left with:
B ≈ 67.3 degrees
Now, one thing to keep in mind when doing Law of Sines is that there is potentially more than one answer possible for the degree measure. The other degree measure can be found by subtracting this one from 180:
180 - 67.3 = 112.7 degrees.
Hope this helps!
