What is the value of x in the figure? (4x + 2)° 150° A. 37 B. 60 C. 160 D. 237
2 answers:
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Answer:
Step-by-step explanation:
This question is asking us to find where sin(2x + 30) has a sin of 1. If you look at the unit circle, 90 degrees has a sin of 1. Mathematically, it will be solved like this (begin by taking the inverse sin of both sides):
On the left, the inverse sin "undoes" or cancels the sin, leaving us with
2x + 30 = sin⁻¹(1)
The right side is asking us what angle has a sin of 1, which is 90. Sub that into the right side:
2x + 30 = 90 and
2x = 60 so
x = 30
You're welcome!
Answer:
574.82 cubic yards
Step-by-step explanation:
The diameter of the cone =14 yards
The angle between the height and slant height measures 32 degrees.
First, we determine the height of the cone using trigonometry.
In Right Triangle AOB,
The volume is about 575 cubic yards.
