Answer:
28.28(simplified from 28.2743338834)
Step-by-step explanation:
area of sector= (center angle/360)*area of circle
we are already given the area of sector as 3/2pi
so
3/2pi=(60/360)*x
(x is area of circle)
3/2pi=4.71238898038
4.71238898038=1/6x
divide both sides by "1/6"
28.2743338834=x
hope this helps!
Answer:
x=66°
Step-by-step explanation:
We know that the total angle measure in a triangle is always 180°, so first we need to find the angle value of BAC. They give us a straight line aligning with this angle and measure of 98° for the angle DAB (which is forming other part of line) and a line is 180° so we subtract and find that angle BAC is 82°.
Now that we know the angle measure of 2 angles in the triangle, we add them up and get 114°. Now we subtract this from 180° and get 66°, which is the measure of x.
Answer:
378
Step-by-step explanation:
It will also be a multiple of 21 .
As it is divisible by 3 the first possibility is 366 so:-
364 + n = 21m
where n = 2,5,8,11,14...
Trying each number in turn we get:-
364 + 14 = 21m
21m = 378
m = 18
so the answer is 378
The equivalent system of equations that would guarantee a solution of (3,-1) are
- a. (p+f)x+(q+g)y= r+h and fx+gy=h
- d. px+qy=r and (f-2p)x+(g-2q)y=h-2r
- e. px+qy+r and 5fx+ 5gy = 5h
<h3>How to determine the system of equations?</h3>
The system of equations is given as:
px +qy =r
fx + gy = h
Add both equations
(p + f)x + (q + g)y = r + h
Multiply the second equation by a constant (say 5)
5fx + 5gy = 5h
Multiply the first equation by a constant (say 2)
2px + 2qy = 2r
The combination of any of the above equations to the given equation would guarantee a solution of (3,-1)
Hence, the equivalent system of equations are (a), (d) and (e)
Read more about system of equations at:
brainly.com/question/14323743
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If H represents the tome teams tickets and V represents the visiting teams then it would be v+h(5)=52,000.
V= 8,667 tickets
H= 43,333 tickets
