<h3>
Answer:</h3>
a. -(3√13)/13
<h3>
Step-by-step explanation:</h3>
The cosine can be found from the tangent by way of the secant.
tan(θ)² +1 = sec(θ)² = 1/cos(θ)²
Then ...
cos(θ) = ±1/√(tan(θ)² +1)
The <em>cosine is negative in the second quadrant</em>, so we will choose that sign.
cos(θ) = -1/√((-2/3)² +1) = -1/√(4/9 +1) = -1/√(13/9)
cos(θ) = -3/√13 = -(3√13)/13 . . . . . matches your selection A
Answer: 5 games
Step-by-step explanation: A .500 record means that the soccer team won half of their games ( that's how I interpret it). Since they are going to play 30 games, they need to win half of 30 or 15 games to have that record. 15-10 = 5. So, they need to win 5 more games to have a .500 record.
Answer:
After using the offer the carpet would cost Ahmed $180.
Step-by-step explanation:
Given:
Cost of the carpet = $240
Discount percent = 25%
We need to find the cost of the carpet after discount.
Solution:
First we will find the Discount cost.
Now we know that;
Discount cost is equal to Discount percent multiplied by Cost of the carpet divided by 100.
framing in equation form we get;
Discount cost = 
Now we will find the Cost of the carpet after discount.
Now we know that;
Cost of the carpet after discount is equal to Cost of the carpet minus Discount cost.
framing in equation form we get;
Cost of the carpet after discount = 
Hence After using the offer the carpet would cost Ahmed $180.
Answer:
5. 76
6. 24
Step-by-step explanation:
5.
x + x = 152
2x = 152
x = 76
6.
2x + 3x = 120
5x = 120
x = 24
This is how I did it:

use distribution

use addition

use addition and subtraction

use division


So your answer is