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
You're welcome!
Given hyp=17 and α=29°,
X = 8.24176
base = 14.86854
Answer: 8 inches
Step-by-step explanation:
320π in³= π (r²) (5 in)
64 in² = r²
r = 8 in
To find the answer you first have to turn 4 1/2 a mixed number into an improper fraction. To do this you must multiply the denominator with the whole number to get 8 after add 1 to get 9. to finish off the improper fraction put the 9 as the numerator and keep the denominator of 2. After this you will have 9/2 ÷ 3/4. Remember Keep Change Flip. this means keep 9/2 change the sign from division to multiplication and flip 3/4 to 4/3. After this you will have 9/2 x 3/4. Now multiply the numerators and multiply the denominators. 9x4 is 36 and 2x3 is 6 you now have 36/6. Lucky for you 36 goes into 6, 6 times. So the answer is 6. If you have anymore questions please dont hesitate to ask :) Hope this helps. If you are having trouble look at this link on youtube about dividing fractions. https://www.youtube.com/watch?v=uMz4Hause-o
You can rewrite it as
(2/3 )•(10^(13-8))= (2/3)• 10^5 ~ 0.67•10^5=
0.67•10•10^4= 6.7•10^4
Answer $6.7•10^4
