To solve for surface area of a sphere, the formula is 4*pi*r^2 where "r" is the radius. Since we know the diameter and that it is the length across the sphere, and that the radius is the distance from the center to the edge, we can divide the diameter by 2 to get the radius. This shows the radius is 5. Now all we have to do is substitute in the 5 for the "r" and solve.
SA=4*pi*r^2
SA=4*pi*5^2
SA=314.159
We are rounding to the hundredth here, so we can say the surface area of the sphere is (A) approximately 314.16 square miles.
To identify the new coordinates after the translation I need the old coordinates
Answer:

Step-by-step explanation:
Given
The attached proof
Required
Complete the missing piece
In (a), we have:

This implies that, the following sides are similar:



An equation that compares the triangle can be any of:


.....
From the options;
is true
Answer:
x
<
−
4
Step-by-step explanation:
Solve by:
Factoring, substituting for variables, then simplify!
Hope this helps!!
Answer:
A. $7.17
Step-by-step explanation:
We have been given that a mechanic uses his credit card to pay for a compressor that costs $477.95 and does not pay on it until the second month.
We will use compound interest formula to solve our given problem.
where,
A = Final amount after T years,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Periods of compounding,
T = Time in years.
Let us multiply our given rate by 12 to get APR and convert it in decimal form.



Since 1 year equals 12 months, so 1 month will be 1/12 year.
Upon substituting our given values in above formula we will get,




Now let us subtract principal amount from the final amount to get the monthly interest charge at the end of 1st month.


Therefore, the monthly interest charge be at the end of the first month will be $7.17 and option A is the correct choice.