Length BC is opposite of angle A and AC is opposite of angle B.
<span>Since we know one set of opposite angles and lengths and looking for the length where we know the opposite angle, we can use law of sines: </span>
<span>a / sin(A) = b / sin(B) </span>
<span>8 / sin(71) = b / sin(42) </span>
<span>b sin(71) = 8 sin(42) </span>
<span>b = 8 sin(42) / sin(71) </span>
<span>b ≈ 5.66 units (rounded to 2DP)</span>
Answer:
169
Step-by-step explanation:
13²
=169
Answer:
The answer to your question is below
Step-by-step explanation:
Functions
f(x) = 12x f⁻¹(x) = 2x
a) f⁻¹(-2) = 2(-2)
f⁻¹(-2) = -4
b) f(-4) = 12x
f(-4) = 12(-4)
f(-4) = -48
c) f(f⁻¹(-2)) =
f(f⁻¹(x)) = 12(2x) = 24x
f(f⁻¹(-2)) = 24(-2) = -48
I think your functions are wrong they must be f(x) = 1/2x f⁻¹(x) = 2x
a) f⁻¹(-2) = 2(-2)
= -4
b) f(-4) = 1/2(-4)
= -2
c) f(f⁻¹(x)) = 1/2(2x)
= x
f(f⁻¹(-2)) = -2
Shanice's rate: 93 / 1.5 = 62 miles per hour
she is 10 miles slower than twice the speed of Brandon
62 +10 = 72
72/2 = 36
Brandon is driving 36 miles per hour