Answer: second option.
Step-by-step explanation:
You must apply 
Then, given the right triangle and the angle D, the opposite side and the hypotenuse of the triangle are the following:

Therefore, when you substitute values, you have:

Reduce the fraction, then you obtain:

Answer:

Step-by-step explanation:
The standard form of a quadratic equation is 
The vertex form of a quadratic equation is 
The vertex of a quadratic is (h,k) which is the maximum or minimum of a quadratic equation. To find the vertex of a quadratic, you can either graph the function and find the vertex, or you can find it algebraically.
To find the h-value of the vertex, you use the following equation:

In this case, our quadratic equation is
. Our a-value is 1, our b-value is -6, and our c-value is -16. We will only be using the a and b values. To find the h-value, we will plug in these values into the equation shown below.
⇒ 
Now, that we found our h-value, we need to find our k-value. To find the k-value, you plug in the h-value we found into the given quadratic equation which in this case is 
⇒
⇒
⇒ 
This y-value that we just found is our k-value.
Next, we are going to set up our equation in vertex form. As a reminder, vertex form is: 
a: 1
h: 3
k: -25

Hope this helps!
12.5663706144 or yes, 12.57
Answer:
36
Step-by-step explanation:
You do 12*3 because if 1 sheet of poster board can make 12 post cards, and you have 3 poster boards you will need 3 lots of 12 which is equivalent to 3*12!
Hope this helps!
Answer:
The percent markup is,
60.89 % .
Step-by-step explanation:
A pair of shoes cost $ 22.99 to make, the local store sells them for $ 36.99.
So, the increased value for each pair of shoes,
= $ (36.99 - 22.99)
=$ 14
So, the percent markup is,
%
60.89 %