Answer: 139 feet
Step-by-step explanation:I used tan. Tan(44) = x/140
x = 140(Tan 44)
x = 135.196
The transit is 4, so we add that to 135.
This makes 139 feet.
Does this seem right to you?
-3 is the remainder when you synthetically divide
Answer:
(2, 20 )
Step-by-step explanation:
Given
y = 5 × 
← substitute x = 2
y = 5 × 2² = 5 × 4 = 20
Then (2, 20 )
Step-by-step explanation:
Left hand side:
4 [sin⁶ θ + cos⁶ θ]
Rearrange:
4 [(sin² θ)³ + (cos² θ)³]
Factor the sum of cubes:
4 [(sin² θ + cos² θ) (sin⁴ θ − sin² θ cos² θ + cos⁴ θ)]
Pythagorean identity:
4 [sin⁴ θ − sin² θ cos² θ + cos⁴ θ]
Complete the square:
4 [sin⁴ θ + 2 sin² θ cos² θ + cos⁴ θ − 3 sin² θ cos² θ]
4 [(sin² θ + cos² θ)² − 3 sin² θ cos² θ]
Pythagorean identity:
4 [1 − 3 sin² θ cos² θ]
Rearrange:
4 − 12 sin² θ cos² θ
4 − 3 (2 sin θ cos θ)²
Double angle formula:
4 − 3 (sin (2θ))²
4 − 3 sin² (2θ)
Finally, apply Pythagorean identity and simplify:
4 − 3 (1 − cos² (2θ))
4 − 3 + 3 cos² (2θ)
1 + 3 cos² (2θ)
-35.6666666666667
Is the answer I think
