Answer:
D.
Step-by-step explanation:
When a line is perpendicular to another, their slopes will be opposite reciprocal. For example, 1 would be -1, -3 would be
, and
would be -5. The equation is written in slope-intercept form:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
m is the slope, so find the equation with the opposite reciprocal of 3,
:
is the only option with the correct slope, so the answer is D.
Answer:
0.0306
Step-by-step explanation:
I don't know if there is any significance to both being drawn at the same time. I'm going to say there isn't.
The first draw gives
9/49
Their is no replacement. That's because both marbles are drawn together. The second draw is
8/48
P(both red) = 9/49 * 8 / 48 = 3/98 = 0.03061 which rounds to 0.0306
Answer:
1271.7
Step-by-step explanation:
The volume of a cone is
, so we plug in the values we are given!
which equals 405pi. We use 3.14 for pi to get 1271.7. Hope this helps!
Answer:
Step-by-step explanation:
Alright, lets get started.
This is the combination of three figures semi circle, rectangle and triangle.
We will find the area of each figure and will add them.
The radius of the circle is half of the diameter, so radius is 6.
Area of semi circle will be : ![\frac{1}{2} \times 3.14 \times 6^2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%203.14%20%5Ctimes%206%5E2)
Area of semi circle is : 56.52
Area of rectangle is: ![length \times width](https://tex.z-dn.net/?f=length%20%5Ctimes%20width)
So, area of rectangle is:![40\times 12=480](https://tex.z-dn.net/?f=40%5Ctimes%2012%3D480)
Area of triangle is : ![\frac{1}{2}\times base\times height](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20base%5Ctimes%20height)
So, area of triangle is :![\frac{1}{2} \times 12\times 5=30](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%2012%5Ctimes%205%3D30)
Adding all these three areas, the area of above figure will be:
[tex]Area = 56.52+480+30
Hence Area is 566.52............... Answer