Answer:

Step-by-step explanation:
In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for the opposite side:





Therefore, the length of the opposite side is about 7.8 units
To calculate the tax multiply $860 by .06 (6%) to get $34.40.
To calculate the total amount you'll pay add $34.40 to $860 to get $894.40.
Answer:
13.7142857143
Step-by-step explanation:
If you need to round then do so, or i will comment the rounded version if needed.
This is a classic math problem, and it is not solved in a normal way.
<span>1+4=5
2+5=12
3+6=21
8+11=?
There is a pattern that can be spotted. 2+5 does not equal twelve, however 2*(2+5) does equal 12. Below is how to solve the rest of the equations:
</span>1+4=5 -> 1*(4+1)=5
2+5=12 -> 2*(5+1)=12
3+6=21 -> <span>3*(6+1)=21 </span>
8+11=? -> <span>8*(11+1)=96
</span>
This is one way to answer the problem, HOWEVER there is another way to answer the problem that gives the SAME answer, but many people mistakenly believes it gives a different answer. If anyone tries to post the other way of doing this problem, but tells you the answer is 40, please comment on this post or message me and let me know. I will explain why the answer is actually 96 either way.
Answer:
He must sell 8 cards to reach the minimum goal.
Step-by-step explanation:
Giving the following information:
He wants to earn more than $50 at the fair.
He sells his cards for $2 and he has already earned $36.
<u>First, we need to calculate the money required to reach the minimum goal:</u>
51 - 36= $15
<u>Now, we write the inequality:</u>
2*x >15
x= number of cards sold.
x>15/2
x> 7.5
He must sell 8 cards to reach the minimum goal.