Formula for volume of cylinder is area of base time height
area of base equal pir^2 =3,14*(2,5)^2 = 3,14 *6,25 = 19,625 inches squared
V=area time height
170 = 19,625 *h
h = 170/19,625 = 8,662 inches
Answer:
Step-by-step explanation:
<u>Combination for the school government requires:</u>
- 5 out of 8 seniors = 8! / 3!5! = 6*7*8/2*3 = 7*8 = 56
- 4 out of 9 juniors = 9! / 4!5! = 6*7*8*9/2*3*4= 7*2*9 = 126
- 3 out of 12 sophomores = 12! / 3!9! = 10*11*12/2*3 = 10*11*2 = 220
- 2 out of 7 fishermen = 7! / 2!5! = 6*7/2 = 21
<u>So number of total ways is:</u>
<h3>Answer :- </h3>
<h3>Solution :- </h3>
- 2x + 42 = 90
- 2x = 90 - 42
- 2x = 48
- x = 48/2
- x = 24
<em>Hope</em><em> it</em><em> helps</em><em> </em><em>~</em>
9514 1404 393
Answer:
3929 square feet
Step-by-step explanation:
The radius of the fence circle is half its diameter, so is 51.4 feet. The area of a circle is given by the formula ...
A = πr^2
The difference in areas of the two regions is found by subtracting the smaller area from the larger one. So, the difference in area between the fenced area of radius 51.4 feet and the playground area of radius 37.3 feet is ...
∆A = π(51.4^2 -37.3^2) = 1250.67π ≈ 3929 . . . square feet
Step-by-step explanation:
by having two equations that have the same point, you can set the two equations equal to each other
y = 12x + 3, y = x + 1
12x + 3 = x + 1
11x = -2
x = -2/11
when you find the the x value, plug it back into either one of the equations
y = x + 1
y = (-2/11) + 1
y = 11/11 - 2/11
y = 9/11
the point (solution):
(-2/11, 9/11)
