4.50 × 2 = 9.00
4.50 ÷ 2 = 2.25
9.00 + 2.25 = 11.25
$11.25
About 10 hrs because he got at least 11 hours of sleep
From the ratio given we know that there is 3 times more cats than dogs.
If there are 15 cats, then there are 15/3 dogs or 5 dogs.
answer: 5 dogs
Answer:
1. 10
2. 12
3. Sqrt 130
4. Sqrt 45
Step-by-step explanation:
To find the missing side of a right triangle, use the Pythagorean Theorem. The Pythagorean Theorem is 
where a and b are the legs with a being the smallest and c is the hypotenuse.
1. a=6, b=8, c=?
2. a=5, b=?, c=13
3. a=7, b=9, c=?
4. a=2, b=?, c=7
The Law of Cosines features the 3 side lengths of a triangle, plus the measure of the angle opposite one of those sides.
We want angle x, which is opposite the side of length 39.
Then: a^2 = b^2 - 2ab cos C becomes 39^2 = 36^2 + 59^2 - 2(36)(59)cos x
or 1521 = 3481 + 1296 - 2(36)(59) cos x
Subtract (3481+1296) from both sides: 1521 - 4777 = -4248cos x
-3256 = -4248cos x
-3256
Then: cosx = --------------- = 0.766
-4248
Solving for x: x = arccos -0.766 = 0.698 radian, or 40 degrees (answer)
