Answer:
37.68.
Step-by-step explanation:
formula is C = 2 times pi times r
radius is half of diameter so radius is 6.
6 times 2 times 3.14 is 37.68.
Answer:
![y = -\frac{3}{2}x -1](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B3%7D%7B2%7Dx%20-1)
Step-by-step explanation:
Given
Perpendicular to ![y = \frac{2}{3}x + 2](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx%20%2B%202)
Pass through ![(-2,2)](https://tex.z-dn.net/?f=%28-2%2C2%29)
Required
Determine the line equation
First, we need to determine the slope of ![y = \frac{2}{3}x + 2](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx%20%2B%202)
An equation is of the form:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where
![m = slope](https://tex.z-dn.net/?f=m%20%3D%20slope)
In this case:
![m = \frac{2}{3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B2%7D%7B3%7D)
Next, we determine the slope of the second line.
Since both lines are perpendicular, the second line has a slope of:
![m_1 = \frac{-1}{m}](https://tex.z-dn.net/?f=m_1%20%3D%20%5Cfrac%7B-1%7D%7Bm%7D)
![m_1 = \frac{-1}{2/3}](https://tex.z-dn.net/?f=m_1%20%3D%20%5Cfrac%7B-1%7D%7B2%2F3%7D)
![m_1 = -\frac{3}{2}](https://tex.z-dn.net/?f=m_1%20%3D%20-%5Cfrac%7B3%7D%7B2%7D)
Since this line passes through (-2,2); The equation is calculated as thus:
![y - y_1 = m_1(x - x_1)](https://tex.z-dn.net/?f=y%20-%20y_1%20%3D%20m_1%28x%20-%20x_1%29)
Where
![(x_1,y_1) = (-2,2)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%28-2%2C2%29)
This gives:
![y - 2 = -\frac{3}{2}(x - (-2))](https://tex.z-dn.net/?f=y%20-%202%20%3D%20-%5Cfrac%7B3%7D%7B2%7D%28x%20-%20%28-2%29%29)
![y - 2 = -\frac{3}{2}(x +2)](https://tex.z-dn.net/?f=y%20-%202%20%3D%20-%5Cfrac%7B3%7D%7B2%7D%28x%20%2B2%29)
![y - 2 = -\frac{3}{2}x -3](https://tex.z-dn.net/?f=y%20-%202%20%3D%20-%5Cfrac%7B3%7D%7B2%7Dx%20-3)
Add 2 to both sides
![y - 2+2 = -\frac{3}{2}x -3 + 2](https://tex.z-dn.net/?f=y%20-%202%2B2%20%3D%20-%5Cfrac%7B3%7D%7B2%7Dx%20-3%20%2B%202)
![y = -\frac{3}{2}x -1](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B3%7D%7B2%7Dx%20-1)
Answer:
18. 28 cm*2
19. 24 m
Step-by-step explanation:
18. length × l = 16
l*2= 16
l = 4
RQ = 4 cm
PR =7cm
Area of parallelogram = b×h
= 7×4
=28cm*2
19. 8 +8 + (6-2) +( 6- 2)
=24 m
Answer:
C
Step-by-step explanation: