A special kind of triangle is a right triangle whose definite characteristic is having a 90° angle. It is also special because there are derived trigonometric formulas/identities that can be applied to it. A right triangle has three sides: hypotenuse, adjacent side and opposite side. The hypotenuse is the longest side of the right triangle. You can determine this visually, if not, quantitatively. The other sides are with respect to a given angle.
For the problem, it might have asked for the opposite side or the hypotenuse. We use the cosine function to find the hypotenuse:
cos 58° = adjacent/hypotenuse = 4/hypotenuse
hypotenuse = 7.55 units
Then, we use the tangent function to find the opposite side.
tan 58° = opposite/adjacent = opposite/4
opposite = 6.4 units
The answer below (I need 20 characters to respond so just ignore the words between the parenthesis on this response)
7. E
8.C
9. F
10.D
11.B
12.A
13.G
I think this is right
Answer:
36/60
Step-by-step explanation:
There are 60 minutes in an hour
Hello from MrBillDoesMath!
Answer: f(x) = (2/3)*x -3 -- which is not a provided answer..
Discussion:
We are given that y + 7 = (2/3) * (x + 6). Multiply out the right hand side:
y + 7 = (2/3) * x + (2/3) * 6 = (2/3) *x + 12/3
= (2/3)*x + 4
Subtract 7 from both sides:
y + 7 - 7 = (2/3)*x + 4 - 7
or
y = (2/3)*x -3
Thank you,
MrB
y + 7= 2/3(x+6)
