Answer:
60.28.
Step-by-step explanation:
We need the sine function because we are given the opposite side and we need the hypotenuse.
sin 71 = 57 / x
Cross multiply
x * sin 71 = 57
x = 57 / sin 71
= 60.28.
Answer:
D. x ≤ -18
Step-by-step explanation:
-x/6 ≥ 3
Multiply both sides by 6.
-x ≥ 3 × 6
-x ≥ 18
Multiply both sides by -1 and reverse the inequality.
x ≤ 18 × -1
x ≤ -18
Answer:
y = -7, y = -3
Step-by-step explanation:
(y - 3)² = 2y² + 4y + 30
expand:
y² - 6y + 9 = 2y² + 4y + 30
subtract 30 from both sides
y² - 6y + 9 - 30= 2y² + 4y + 30 - 30
simplify:
y² - 6y - 21 = 2y² + 4y
subtract 4y from both sides
y² - 6y - 21 -4y = 2y² + 4y - 4y
simplify:
y² - 10y - 21 = 2y²
subtract 2y² from both sides
y² - 10y - 21 - 2y² = 2y² - 2y²
simplify:
-y² - 10y - 21 = 0
solve y by quadratic equation
- (-10) ± √ (-10² - 4(-1)(21)
y = --------------------------------------
2(-1)
y = -7, y = -3
the answer is true so yawelcome
