It would be A. You can find this out by using SOH CAH TOA,
SOH means sin= opposite/hypotenuse
CAH mean cos= adjacent/hypotenuse
TOA means tangent= opposite/adjacent
You would use CAH since you are trying to find cos∠C
You would have cos∠C=10/26.
26 is the hypotenuse since it is opposite the right angle and is the biggest side.
10 is the adjacent since it is right next to C
You would simplify this down to 5/13 by dividing by 2.
This gives you A.
Answer:
Julia has enough gas to mow the two yards.
Step-by-step explanation:
Given:
Julia needs 
gallon of gas to mow first yard.
Julia needs 
gallon of gas to mow second yard.
Julia has a total of 
gallon of gas in in her can.
To find whether she has enough to mow both yards.
Solution:
Total gallons of gas needed to mow two yards can be found out by :
⇒ 
Taking LCD =80.
⇒ 
⇒ 
Adding the numerators.
⇒ 
⇒ 1.2125 gallons
Julia has gallon = 1.5 gallons of gas in in her can.
Since 
, thus we can say that Julia has enough gas to mow the two yards.
Answer:
C) 24 adults
Step-by-step explanation:
Let A be the number of adults and C be the number of children.
If a ticket costs $8 per adult, we can express this as 8A
If a ticket costs $5 per child, we can express this as 5C
Combining the two expressions, we can write 8A+5C=272 as our first equation since the total amount of money collected is $272.
Our second equation would be A+C=40 since there are 40 people.
Now, we can take the second equation and write it as C=40-A so we can substitute the value of C into the first equation as 40-A so we only have to deal with one variable, the amount of adults that went to the theater.
The first equation now becomes 8A+5(40-A)=272 and is much easier to solve:
8A+5(40-A)=272
8A+200-5A=272
3A+200=272
3A=72
A=24
Therefore, there are 24 adults
Hi there!
This gets pretty easy once you understand how to do these kinds of problems. Let's look at the words in the question.
Adison earned 25$. We can push that to the side.
She loaned her friend 18$, which means she took some money away from her first part of it.
25 - 18 = 7$. Now she has 7$ left. (A calculator would be useful to answer these!)
Now, let's put the 7 to the side and check out the rest of the equation. Looks like Adison's grandmother gave her 50 more dollars, and we know that more means to add.
50 + 7 = 57$.
Now, the final part of the question says she ended up with 86$ because she had money before she earned more. To see how much money she had originally, we can subtract 86 from 57.
86 - 57 = 29$.
We now understand that Adison originally had 29$ before earning anymore money.
Hope this helps!
