Answer:
11 or -16
Step-by-step explanation:
The square of a number increased by 5 times the number is equal to 176.
Let the number be x
Then, x²+5x=176
x²+5x-176=0
We use splitting the middle term method
x²+16x-11x-176=0
x(x+16)-11(x+16)=0
(x-11)(x+16)=0
i.e. either x-11=0 or x+16=0
i.e. either x=11 or x=-16
Hence, the number is either 11 or -16
Hi there! Look at the attachments along with my explanation. Before we are going to answer your problem, we need to know the basic Trigonometric Ratio first.
Now see my attachments. The first attachment is the original image from your problem.
The second attachment is when we draw to focus on angle H (in a better perspective)
The third attachment is when we draw to focus on angle G in a better perspective.
Now that we know tanA = opposite/adjacent
Define A = any angles.
Therefore,
tanH = 1/2
tanG = 2/1 = 2
Answer
I believe the first two are NOT and the third one is