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):
![sin^{-1}[sin(2x+30)]=sin^{-1}(1)](https://tex.z-dn.net/?f=sin%5E%7B-1%7D%5Bsin%282x%2B30%29%5D%3Dsin%5E%7B-1%7D%281%29)
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
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Answer:
2187 ( 3 to the 7th)
Step-by-step explanation:
3 to the 6th= 729
729 x 3 = 2187
If you are converting, make the denomenator 100 for fractions or look at 2 decimal places for decimals. if you want to find a certain percentage for a total, make the total of the item 100% and from there find 1% and multiply to the wanted percentage
Answer:
<u>The width is 1.67 or 1 2/3 feet approximately</u>
Step-by-step explanation:
Area of the dog pen = 14 1/5 = 14.2 square feet
Length of the pen = 8 1/2 = 8.5 feet
Width of the pen = x
Let's recall that the formula of the area of a rectangle is:
Area = Length * Width
Replacing with the values we know:
14 1/5 = 8 1/2 * Width
14.2 = 8.5 * Width
Width = 14.2/8.5
Width = 1.67 feet (rounding to the next hundredth)
1.67 ≅ 1 2/3
<u>The width is 1.67 or 1 2/3 feet approximately</u>
