Answer:
4
Step-by-step explanation:
First n(AUB)=n(E) - n((AUB)')
So n(AUB) = 40 - 6 = 34
Now all u hv to do is use the formulae,
n(AUB) = n(A) + n(B) - n(ANB)
So when u substitute above values,
34=22 + n(B) - 8
So,
n(B) = 4
Answer:
339.24
Step-by-step explanation:
To find the surface area, you will need to the the area of the base of the cylinder. To do that, use the formula A=pi (r)^2
The radius is half the diameter do r=3
3.14(3)^2 should give you about 28.27.
This is the area of the top and bottom of the cylinder.
Now, do 28.27x10=282.7 to find the height surface area.
282.7+28.27+28.27=Surface area.
SA= about 339.24
Given a piecewise function:
To graph the function follow the steps below:
<h3>Step 1</h3>
Graph the first function, f(x) = 3x - 5
Plot two points with x- coordinates - 1 and 0. We considered x ≤ -1 when selecting points.
- f(-1) = 3(-1) - 5 = - 8
- f(-2) = 3(-2) - 5 = - 11
Make point (- 1, - 8) a full dot and connect two points, then extend the line to the left from x = -2.
<h3>Step 2</h3>
Graph the second function, f(x) = - 2x + 3.
Plot both endpoints with x - coordinates of - 1 and 4.
- f(-1) = - 2(-1) + 3 = 5
- f(4) = - 2(4) + 3 = - 5
Make both points (-1, 5) and (4, 5) open dots and connect together.
<h3>Step 3</h3>
Graph the third function, f(x) = 2.
Every point of this function has the value of 2, we are interested in the endpoint when x = 4.
Make this point a full dot and make a line parallel to the x-axis, to the right from the plotted point.
Now we have the full graph, <u>see attached</u>.
Answer:
<h2>15</h2>
Step-by-step explanation:
We can find the value of x from the question
If If line MO bisects angle PMN at M, then <PMO = < OMN and
<PMO + < OMN = <PMN
The equation then becomes;
<OMN + < OMN = <PMN
2<OMN = <PMN
Given
angle PMN =74 and
angle OMN =(2x+7)
Substituting the values into the formula to get x
2(2x+7) = 74
open the bracket
4x+14 = 74
Subtract 14 from both sides
4x+14-14 = 74-14
4x = 60
x = 60/4
x = 15
Hence the value of x is 15°
The 20th expression would be 80. Counted on my fingers xD hit 80 when i did 20 fingers. which means that if you put 20 as n, it should come out to 80, but it comes out to 84 by the answer you chose, so I'm wondering if the answer you chose was right, or if it was A