Answer:
x = 10
, y = 10
Step-by-step explanation:
using the sine and cosine ratios in the right triangle and the exact values
cos60° = 
, sin60° = 
, then
cos60° = 
= 
= ( cross- multiply )
2x = 20 ( divide both sides by 2 )
x = 10
and
sin60° = 
= 
= ( cross- multiply )
2y = 20 × 
= 20 ( divide both sides by 2 )
y = 10
Answer:
assume z is equal to 5.
log(z^4/5) equals log(5^4/5) equals log(5^3) equals 2.096910013.
4 * log(5) - log(5) equals 2.096910013.
they give you the same answer.
this means they're equivalent.
Step-by-step explanation:
First, you are going to want to get the terms to the same power of 10 in scientific notation. Realize that 
. Essentially, we have converted the 
to a term with 
. Now, we can subtract the values in each term that are not 10 as shown below:
Remember that we have to turn it back to scientific notation once we are done!
Our answer is the second choice, 
. (This is the closest answer to 
.)
So, You know the outer angle, so you need to know the inner angle on <B. so 180-148 is 32. since you know two of the inside angles, and all triangle angles add up to 180 degrees, take 32+83, which is 115, and subtract that from 180, which is 65
Hope this helps!
Vote me brainliest!
Answer:
B. a decrease in their water bill of $3.16.
Step-by-step explanation:
Monthly service charge =$10.10
Volume charge = $1.58 for every 100 cubic feet of water.
Total monthly cost = 1.58x + 10.10
If the Johnson family used 
less water this month than last month, then they can expect a reduction in their bill by the Volume charge for .
Volume Charge per 
of water = $1.58
Therefore: Volume Charge for of water = 2 X $1.58=$3.16
Therefore, the Johnson family can expect a decrease in their water bill of $3.16.
