Answer:
f(x) = 7/6
Step-by-step explanation:
First off, hello! This is my explanation to the provided answer,
You can use the slope formula, (or simply graph the points), y2 - y2 / x2 - x1.
This would give you: 1 - 8 / -2 - 4, meaning that you would get the answer: 7/6 as the slope.
Hope this helps, if you have any more questions please ask.
Answer:
62.4 ft²
Step-by-step explanation:
The unmarked horizontal dimension at the bottom of the triangle is ...
(8 ft)sin(30°) = 4 ft
The unmarked vertical dimension of the triangle (the height of the trapezoid) is ...
(8 ft)cos(30°) ≈ 6.93 ft
Then the area of the trapezoid is given by the formula ...
A = (1/2)(b1 +b2)h
A = (1/2)((4 ft+7 ft) +(7 ft))(6.93 ft) ≈ 62.4 ft²
_____
The mnemonic SOH CAH TOA can remind you of the relationships between right triangle dimensions and angles.
Sin = Opposite/Hypotenuse ⇒ Hypotenuse×Sin = Opposite
Cos = Adjacent/Hypotenuse ⇒ Hypotenuse×Cos = Adjacent
Answer:

Step-by-step explanation:
Let height of a banner be
, then we know that this is
of the length
of the banner; so we have
.
Now we can rearrange this equation to solve for the length of the banner given it's height:

So there we have it!
If the banner is 5 ft tall, then it's length will be:

Answer:
1/8÷7
Step-by-step explanation:
I think