The Law of Cosines features the 3 side lengths of a triangle, plus the measure of the angle opposite one of those sides.
We want angle x, which is opposite the side of length 39.
Then: a^2 = b^2 - 2ab cos C becomes 39^2 = 36^2 + 59^2 - 2(36)(59)cos x
or 1521 = 3481 + 1296 - 2(36)(59) cos x
Subtract (3481+1296) from both sides: 1521 - 4777 = -4248cos x
-3256 = -4248cos x
-3256
Then: cosx = --------------- = 0.766
-4248
Solving for x: x = arccos -0.766 = 0.698 radian, or 40 degrees (answer)
The absolute error is 4 cubic inches. To find the absolute error, you simply subtract the two values.
The percent error is 10%. To find the percent error, we create a fraction out of the error and the actual value.
4 / 40 x 100 = 10%
Answer:
It will take Carrie 8 months to pay off the loan
Step-by-step explanation:
Step 1: Determine the expression for total amount to be paid
T=m×n
where;
T=total amount to be payed
m=total payments per month
n=number of payments to be made
In our case;
T= $960
m= $120
n=unknown
replacing;
960=120×n
120 n=960
n=960/120
n=8 months
It will take Carrie 8 months to pay off the loan
Answer:
Step-by-step explanation:
Image
Answer:
24
Step-by-step explanation:
If we want to cover the base of the prism having dimensions 2 cm × 1 cm with 
cm length of cube, then there will be (4 × 2) = 8 cubes that can occupy the base.
Width is 1 cm, so there can fit 2 cubes of length cm and length is 2 cm, where 4 cubes of length cm can fit. So, in total (4 × 2) = 8 cubes of cm length.
Now, height of the prism is 
cm where 3 cubes of length cm can fit.
Therefore, in total there can be (8 × 3) = 24 cubes of cm length. (Answer)
