Multiplying both sides by cos x and dividing both sides by tan x results in
<span>cos x = (sin x)/(tan x), and sticking in the numbers gives </span>
<span>cos x = 0.99/7.07 = 0.14.</span>
3x^2 + 3x - 6
First factor out the 3 in front of x^2:
3( x^2 + x - 2 )
Now we can look at the inside of the brackets, and find two numbers that, when multiplied, give -2, and when added, give +1. You will usually find them if you create a list of factors of the constant term (-2 in this case).
2 * -1 = -2
2 + -1 = 1
So the factorization becomes 3(x+2)(x-1)
Answer:
a. height = 12
b. area = 228
Step-by-step explanation:
a. To find the height, we can use the triangle formed by the side that measures 15, the side that measures 9. and the height. The hypotenuse of the triangle(the longest side opposite of the right angle), is 15. We can then use the Pythagorean Theorem, which states that 
, where c is the hypotenuse, and a and b are the two other sides. In this case, we need to find a leg of the triangle, not the hypotenuse. What do we do? We can first call the height a, and rearrange the Theorem into 
. 
and 
=12. Therefore, the height of the parallelogram is 
b. To find the area of the parallelogram, we can use the area formula, which is Base*Height. The base is the flat side. We can find the base by adding 9+10=19, and 
Answer: B
Step-by-step explanation:
21/100=.21
Since it’s saying their is a student selected at random that means it is out of 100 students. Then it’s asking for freshman who have a credit card which is 21 people. That means it’s 21/100 which is .21 probability.
