Answer:
42.1
Step-by-step explanation:
tan 39 = 52 / x
x = 52 tan39
x = 42.1
Answer:
x > -5/8
Step-by-step explanation:
Simplify by combining x and 4/5 and then moving 4 to the left side of x
-x * 4/5 + 3/10 < 8/10
-4x/5 + 3/10 < 8/10
Now we cancel the common factor of 8 and 10.
Factor 2 out of 8
-4x/5 + 3/10 < 2(4)/10
2 from 10
-4x/5 + 3/10 < 4/5
Now move all the terms not containing x to the right side
Lets subtract 3/10 from both sides
-4x/5 < 4/5 - 3/10
Now we multiply by 2/2 to write 4/5 with a common denomi.
-4x/5 < 4/5 * 2/2 - 3/10
Now write with a common denom of 10 and multiply by 1
-4x/5 < 4*2/5 * 2 - 3/10
5 by 2
-4x/5 < 4 * 2/10 - 3/10
Combine
-4x/5 < 4 * 2 - 3/10
Simplify the numerator by multiplying then subtracting
-4x/5 < 8 - 3/10
-4x/5 < 5/10
Cancel the common factor of 5 and 10...
-4x/5 < 5(1)/10
-4x/5 5* 1/5 * 2
-4x/5 < 1/2
Now we divide by -1
-4x/5)/-1 > 1/2)/-1
4x/5 > 1/2)-1
4x/5 > -1/2
Multiply both sides by 5 and cancel common factors. (5)
4x * 5 > -1/2 * 5
4x > -1/2 * 5
4x > -5/2
Now divide by 4 in each term
4x/4 > -5/2)/4
x > -5/2)/4
Multiply the numer by the reciprocal of the denom
x > -5/1 * 1/4
x > -5/4 * 2
x > -5/8
For this case we have the following equation:
![h = -16t ^ 2 + 541 ](https://tex.z-dn.net/?f=h%20%3D%20-16t%20%5E%202%20%2B%20541%0A)
To answer the question, what we must do is evaluate the function for t = 2.
We have then:
![h = -16 (2) ^ 2 + 541 ](https://tex.z-dn.net/?f=h%20%3D%20-16%20%282%29%20%5E%202%20%2B%20541%0A)
Rewriting we have:
Answer:
The height of the rock after 2 seconds is:
![h = 477 feet](https://tex.z-dn.net/?f=h%20%3D%20477%20feet)
The answer to number 18 is - 0.25 or 1/4
If you need help with the other ones ask.
<em>Hope this will help :)</em>