Answer: 12.3 ft.
Step-by-step explanation:
In the given picture we can see there is a right triangle with hypotenuse 15 ft.
Using trigonometry in the given right triangle, we have

Hence, the length of rope A = 12.3 ft.
Answer: 9
Step-by-step explanation:
1.) you first want to plug in your x= -2
2.) 2*-2^2=1
3.) Solve in order.
4.) 2*-2 = -4
5.) -4 * -2 (your power) = 8 , it is a negative two because x = -2 and where it lands in the order of operations that is how you solve.
6.) 8 + 1 = 9
7.) =9 .
The five digit number, 55,220 contains to 5's and two 2's. The 5's are in the ten thousand and one thousand columns. This means that one five represents 50,000 and the second represents 5, 000. The two's are in the hundreds and tens columns meaning one 2 represents 200 and the other 2 represents 20. In a direct comparison of these numbers the 5's equal 55,000 and the 2's equal 220.
Incomplete question. However, let us assume
- the interest rate is 5%, and
- the time is 1 year.
Answer:
<u>$150</u>
Step-by-step explanation:
Note, the bank manager wants new customer accounts opened with at least, $3,000. Hence we have a principal, $3000. Using the simple interest formula:

= $150
Therefore, the <em>minimum</em> amount of interest a new account would make in one year is <u>$150.</u>
H(x) would be (x - 3)(x + 10)
= x^2 + 7x - 30