9514 1404 393
Answer:
sin B = 24/25
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Sin = Opposite/Hypotenuse
The side opposite angle B is the side AC. Its length is shown as 24. You have correctly said the hypotenuse (AB) is 25, so you have ...
sin(B) = AC/AB
sin(B) = 24/25
Answer: 5.1961
Step-by-step explanation: I believe you would use the Pythagorean’s theorem, since it’s a problem about a ramp, always draw pictures for word problems. So you would plug your numbers in the formula and solve. 3 squared plus B squared (that’s what we are trying to find so its a variable) equals 6 squared. Then you square and it becomes 9 + b2= 36, subtract 9 on both sides, b2=27, then square root on both sides to get 5.1961. Hopefully that’s right. :)
20: Let
be the amount of money. If this amount is shared between 8 people, each person will get x/8 dollars. But there actually are 6 people, so everyone is getting x/6 dollars. We know that this difference results in 30 dollars more, so we have
Rearrange the left hand side as
And multiply both sides by 24 to get
21: Let
and
be the number of marbles owned by Mike and Judy, respectively. At the beginning, we have
If they both get 9 more marbles, Mike will have
marbles, and Judy will have
marbles. So, we have
Plug this value in the first equation and we have
And we deduce
So, the difference is
22: Let
be the number of $10, $20 and $50 coupon, respectively. We're given:
Rearrange as follows:
And now we can deduce the number of the other coupons:
So, the total value is
23: a) In order to find the first three terms of the sequence, you just need to plug n=1,2,3:

b) We have

c) 105 is a term of the sequence if and only if there exists an integer k such that

So, 105 is not a term of the sequence.
Answer:
25%
Step-by-step explanation:
if 64 dollars is the 100% How much is 16 dollars?
(16)(100) / 64 = 25
Answer:
The first one is 79
The second one is 26
I hope this helped! :D
Step-by-step explanation:
For the first one you just plug in 23 into x so it would be 3(23) + 10 = x
For the second one you just plug in 88 into g so it would be 88 = 3x + 10