We know that
If a tangent segment and a secant segment are drawn to a <span>circle </span><span>from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment
</span>so
AB²=BD*BC
BD=12
BC=12+15----> BC=27
AB²=12*27----> 324
AB=√324----> AB=18
the answer is
AB=18 units
Answer:
Its not that hard think harder 9
The answer is D. Good luck on your test or homework!
Answer:
Step-by-step explanation:
there are 40320 possible arrangements. that would be 8!
the probability of picking the correct order randomly would be 1 / 40320 = .0000248015873.
in order words, the probability of picking the correct order on a random basis, such as picking the names out of a hat, is not very good.
<u>for example:
</u>
suppose there were only 3 reamining candidate.
3! = 3*2 = 6
there would be 6 possible arrangements. if the candidates were abc, then the 6 possible arrangements would be:
abc
abc
bac
bca
cab
cba
for 4 candidates, multiply 6 * 4 = 24
then 5 * 24 = 120
then 6*120 = 720
then 7*720 = 5040
then 8 * 5040 = 40320
1 / 6 is manageable.
1 / 24 less.
1 / 8 becomes pretty impossible.
Hello there! I can help you! The formula for compound interest is P(1 + r)^t, where P= principal (initial amount), r = interest rate (in decimal form), and t = time (in years). Let's do this step by step. First off, we add the rate into 1. 4% is the interest rate (0.04 in decimal form). 1 + 0.04 is 1.04. Now, what we will do is raise that number to the 2nd power, because the time that elapses is 2 years. 1.04² is 1.0816. That's that. Now, multiply 7,500 to find the total amount of money. 1.0816 * 7,500 is 8,112. There. Toby's savings account balance in 2 years is £8,112.
Note: To solve for compound interest questions like it, add 1 to the percentage rate in decimal form, raise that number to a power based on the number of years (for example, raise the number to the 7th power if we are looking for the balance after 7 years), and then multiply that number by the starting amount. After you raise the number by a power, there may be a lot of numbers behind it. Whatever you do, DO NOT delete the number. Keep it there and multiply it by the principal.