Answer:
(40/3)*pi
Step-by-step explanation:
lets first find the area of the little circle
A=pi*r^2
A=pi*3^2
A=9pi
Now, lets find the area of the big circle
A=pi*r^2
A=pi*(3+4)^2
A=pi*7^2
A=49pi
now lets subtract the area of the little circle from the area of the big circle
49pi-9pi=40pi, now we found the area of the "bagel)
lets find what portion of the bagel is the shaded region
120/360=1/3
now lets multiply the bagel area by the fraction
40pi*(1/3)=
(40/3)*pi or (40*pi)/3
Answer:
It will take 6 hours for the new pump to drain the pool.
Step-by-step explanation:
As the complete question is not given, the complete question is found online and is attached herewith
Let the rate of new pump is given as x=W/t_1
Let the rate of the old pump is given as y=W/t_2
it is given that the time t_2=2t_1
So by substituting the values of t_2 in the rate equation of y
y=W/2t_1
y=(W/t_1*2)=x/2
Also the total rate of both the pumps is given as W/t3 where t3 is given as 4 hours so the equation becomes
x+y=W/4
x+x/2=W/4
3x/2=W/4
As x=W/t_1
3W/2t_1=W/4
Now as W is same on both sides so
3/2t_1=1/4
12=2t_1
t_1=6 hours
So it will take 6 hours for the new pump to drain the pool.
Answer:
i think it is a but there are algebra caculators online
Step-by-step explanation:
Answer:
(-2x - 6)
Step-by-step explanation:
The given expression is ( 3x - 5 ) - ( 5x + 1 )
We have to simplify the given expression
First we will open the bracket having negative notation outside.
( 3x - 5 ) - 5x - 1
3x - 5 - 5x - 1
Now we will collect the similar terms together.
3x - 5x - 5 -1
-2x - 6
So the simplified form of the expression is (-2x - 6)
Answer:
e
Step-by-step explanation:
The cube on the top, the one with the width of 4 is Cube 1.
The other one is Cube 2.
The length of the cube is 4, the width 2, and the height 5.
We know the length is 4 because we can look at the side, where both measurements 6 ft and 3 ft can be found.
We know that the height is 5 because for Cube 2, the height is 3. The total height is 8, so we subtract 3 from 8. We get our difference of 5.
V = l x w x h
V = (4)(2)(5)
V = (8)(5)
V = 40.
Cube 2 has a length is 6, the width 2, and the height 3.
V = l x w x h
V = (6)(2)(3)
V = (12)(3)
V = 36
We add the volumes of both cubes.
40 + 36 = 76
probs not right but hope it helped :)
