<u>Answer:
</u>
f(x) = 3(x+2)(x-2)
<u>Step-by-step explanation:
</u>
We are given the following the quadratic function and we are to rewrite it in intercept or factored form:
We can factorize the given function so taking the common factors out of it to get:
The term
is in the form
so it can further be factorized to give:
Therefore, the factored form of the given quadratic function is f(x) = 3(x+2)(x-2).
Answer:
a) See figure attached
b) ![x = \frac{sin(124)}{sin(34)} 80.086 = 118.732 ft](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%7Bsin%28124%29%7D%7Bsin%2834%29%7D%2080.086%20%3D%20118.732%20ft)
c) ![h = 35 sin (59) = 30.0 ft](https://tex.z-dn.net/?f=%20h%20%3D%2035%20sin%20%2859%29%20%3D%2030.0%20ft)
So then the heigth for the building is approximately 30 ft
Step-by-step explanation:
Part a
We can see the figure attached is a illustration for the problem on this case.
Part b
For this case we can use the sin law to find the value of r first like this:
![\frac{sin(22)}{35 ft} =\frac{sin(59)}{r}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bsin%2822%29%7D%7B35%20ft%7D%20%3D%5Cfrac%7Bsin%2859%29%7D%7Br%7D)
![r= \frac{sin(59)}{sin(22)} 35 ft = 80.086ft](https://tex.z-dn.net/?f=%20r%3D%20%5Cfrac%7Bsin%2859%29%7D%7Bsin%2822%29%7D%2035%20ft%20%3D%2080.086ft)
Then we can use the same law in order to find the valueof x liek this:
![\frac{sin(124)}{x ft} =\frac{sin(34)}{80.086}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bsin%28124%29%7D%7Bx%20ft%7D%20%3D%5Cfrac%7Bsin%2834%29%7D%7B80.086%7D)
![x = \frac{sin(124)}{sin(34)} 80.086 = 118.732 ft](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%7Bsin%28124%29%7D%7Bsin%2834%29%7D%2080.086%20%3D%20118.732%20ft)
And that represent the distance between Sara and Paul.
Part c
For this cas we are interested on the height h on the figure attached. We can use the sine indentity in order to find it.
![sin (59) = \frac{h}{35}](https://tex.z-dn.net/?f=%20sin%20%2859%29%20%3D%20%5Cfrac%7Bh%7D%7B35%7D)
And if we solve for h we got:
![h = 35 sin (59) = 30.0 ft](https://tex.z-dn.net/?f=%20h%20%3D%2035%20sin%20%2859%29%20%3D%2030.0%20ft)
So then the heigth for the building is approximately 30 ft
Answer:
Diameter is equal to 38 cm.
Step-by-step explanation:
We know that the circumference equals πd (where d is the diameter).
If we round the value of π to 3.14 then we will get...
πd = 119.32
(3.14)d = 119.32
d = 119.32 / 3.14
d = 38 cm
Therefore the diameter is equal to 38 cm