Answer:
The answer to your question is below
Step-by-step explanation:
Use trigonometric functions to find x
13. cos 40 = 5/x
x = 5 / cos 40
x = 5 / 0.766
x = 6.5
14. tan 25 = x/9
x = 9tan 25
x = 9(0.466)
x = 4.2
15.- cos 65 = x/12
x = 12 cos 65
x = 12 (0.423)
x = 5.1
16.- sin 32 = 15/x
x = 15 / sin 32
x = 15 / 0.53
x = 28.3
17.- tan 55 = 20 / x
x = 20 / tan 55
x = 20 / 1.42
x = 14
18.- sin31 = x / 18
x = 18 sin 31
x = 18 (0.52)
x = 9.3
Answer: 180
Step-by-step explanation:
I scanned it with an answer finder! Hope this helps
1. The first step is Distribution, a = 10a - 14. You can determine this by multiplying 2 into (5a - 7). 2*5a =10a, while 2*- 7 = - 14. Resulting in, a = 10a - 14.
2 . Now, subtract 10a on both sides, meaning 10a - 10a and a - 10a. The equation simplified is - 9a = - 14.
3. Divide by - 9 on both sides. The solution to the equation is a = 14/9
Answer:
$4194.39
Step-by-step explanation:
Two equal payments one after 3 months and another after 9 months respectively are used to settle a debt of $6000 due today.
We have to calculate the size of the equal payments at 6% compounded quarterly.
Let the amount be $x.
So, $(x + x) = $2x will be the total sum after interest.
Therefore, $6000 will be charged for 3 months at 6% interest quarterly and $(6000 - x) will be charged for (9 - 3) = 6 months at 6% interest quarterly.
The equation we can write is
⇒ 6000 × 1.06 + ( 6000 - x)(1.1236) = 2x
⇒ 3.1236x = 6000 × 2.1836
⇒ x = $4194.39 (Answer)