Answer:
Just divide the 5 and 3 to get 1.6, meaning he will use 1.6 pounds per house.
Step-by-step explanation:
You can use the distributive property to get equation B from equation A.
The distributive property proves that . Use this same logic on equation A, distributing to .
Answer:
c = 7 (if you have more questions like this in the future, use photomath (an app) or mathpapa algebra calculator (a website))
If x terminates in the fourth quadrant, then we know that sin(x) < 0 and cos(x) > 0. Given that sec(x) = 8, we immediately have
cos(x) = 1/sec(x) = 1/8
Recall the Pythagorean identity,
cos²(x) + sin²(x) = 1
Then it follows that
sin(x) = -√(1 - cos²(x)) = -3√7/8
Now recall the double angle identities,
sin(2x) = 2 sin(x) cos(x)
cos(2x) = cos²(x) - sin²(x)
Then
sin(2x) = 2 (-3√7/8) (1/8) = -6√7/64 = -3√7/32
cos(2x) = (1/8)² - (-3√7/8)² = -62/64 = -31/32
By definition of tangent,
tan(x) = sin(x)/cos(x)
Then
tan(2x) = sin(2x)/cos(2x) = (=3√7/32) / (-31/32) = 3√7/31
<u>Answer:</u>
x =
<u>Step-by-step explanation:</u>
We are given the following expression which we are to solve for x and give the answer in a mixed form of fraction:
Taking the denominator to the other side of the equation and multiplying it to get:
Writing it in mixed number: