Area of a circle = (pi)r^2
therefore: A = (3.14)(14^2)
A = 615.44 square feet
Answer:
Step-by-step explanation:
<u>Given</u>
- The First street is vertical leg of the right triangle. Side f
- The Main street is horizontal leg of the right triangle. Side m
- Angle x is opposite to side m.
- tan x = m/f = 7/5
<u>If m = 21 miles then using the above ratio find the value of f:</u>
- 21/f = 7/5
- f = 21*5/7 = 15
Correct choice is A
<span>3.01419753086 or approximately 3
</span>
Answer:
Step-by-step explanation:
We will let the x coordinates be the temp and the y coordinates by the number of chirps. Our coordinates then will look like this:
(60, 84) and (85, 184). If this is linear, then first we will find the slope of the line which will tell us, in the context of this problem, how many chirps a cricket gives per 1 degree of temp increase.
The slope formula is:
and filling in our numbers:
![m=\frac{184-84}{85-60}=\frac{100}{25}= 4](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B184-84%7D%7B85-60%7D%3D%5Cfrac%7B100%7D%7B25%7D%3D%204)
This means that for every 1 degree temp increase, a cricket will give 4 chirps. That's the m value in y = mx + b. Now we will pick one of the coordinates, doesn't matter which one, and use those x and y values in the point-slope form of a line to get the equation. I will choose (60, 85), just because. Using the other point will give you the exact same line equation, I PROMISE!
Using 85 as y1 and 60 as x1 in
y - y1 = m(x - x1) gives us
y - 85 = 4(x - 60) and
y - 85 = 4x - 240 and
y = 4x - 240 + 85 and
y = 4x - 155
The output would be -9.
If you substitute -10 in for x, the equation becomes:
Y = (3/2)(-10) + 6.
First solve for (-3/2)(10).
(-3/2)(10) = -15.
This is negative because a negative number multiplied by a positive number will equal a negative number.
Then add 6 to -15.
-15 + 6 = -9.
Therefore, when the input is -10, the output is -9.