Answer: the number is 3
Step-by-step explanation:
Let the number be represented by x.
If 4 more than 4 times a certain number is the same as 4 more than the product of 3 and 4, it means that
4x + 4 = 4 + 3×4
4x + 4 = 4 + 12
4x + 4 = 16
Subtracting 4 from the left hand side and the right hand side of the equation, it becomes
4x + 4 - 4 = 16 - 4
4x = 12
Dividing the left hand side and the right hand side of the equation by 4, it becomes
x = 12/4 = 3
This is a right triangle, the measure of angle A is 90 degrees.
First thing to do I guess is finding B and C.
tan^-1 (7/12) = 30 degrees
tan^-1 (12/7) = 60 degrees
60 + 30 = 90
180 - 90 = 90. Therefore angle A = 90 degrees
Answer: 
Step-by-step explanation:
Given
The rug is 4 feet longer than its width
Suppose the length of the width is x
Length is given by x+4
So, the product of length and width is equal to the area of the rug
![\Rightarrow x\left(x+4\right)=A\quad\quad [\text{A=Area of rug}]](https://tex.z-dn.net/?f=%5CRightarrow%20x%5Cleft%28x%2B4%5Cright%29%3DA%5Cquad%5Cquad%20%5B%5Ctext%7BA%3DArea%20of%20rug%7D%5D)
Answer:
12.3
Step-by-step explanation:
