Answer:
4/5
Step-by-step explanation:
The cosine of the angle is found as the ratio of adjacent to the hypotenuse.
To find it first find the sin 45 = √8/ x. This is equal to 4.
sin 45 = √8/ x
x = √8/ sin 45
x = 4
This means the triangle FHE has side lengths 3, 4, and 5.
The cosine of FHE will be FH / HE. This is 4/5.
Answer:
B = 48.7°, C = 61.3°, b = 12.0
Step-by-step explanation:
A triangle solver makes short work of this. (See below.)
_____
If you're interested in solving this using only calculator trig functions (and not the solver function), you can use the Law of Sines:
sin(C)/c = sin(A)/a
sin(C) = (c/a)sin(A)
C = arcsin(c/a·sin(A)) = arcsin(14/15·sin(70°))
C ≈ 61.3°
From the sum of angles, the third angle is ...
B = 180° -A -C = 180° -70° -61.3°
B = 48.7°
Again from the Law of Sines:
b/sin(B) = a/sin(A)
b = a·sin(B)/sin(A) = 15·sin(48.7°)/sin(70°)
b ≈ 12.0
Answer:
4x
+
5
y
=
15
Step-by-step explanation:
Hey,
So if you are working 8 hrs a day and $15 an hour multiply those together, that would give you $120 a day, and multiplying that by 5 days a week that would make $600 a week.
A. The two terms are 5y and -7, and it is a difference because of the - sign between them.