Answer:
V=15.44
Step-by-step explanation:
We have a formula
V=\int^{π/3}_{-π/3} A(x) dx ,
where A(x) calculate as cross sectional.
We have:
Inner radius: 5 + sec(x) - 5= sec(x)
Outer radius: 7 - 5=2, we get
A(x)=π 2²- π· sec²(x)
A(x)=π(4-sec²(x))
Therefore, we calculate the volume V, and we get
V=\int^{π/3}_{-π/3} A(x) dx
V=\int^{π/3}_{-π/3} π(4-sec²(x)) dx
V=[ π(4x-tan(x)]^{π/3}_{-π/3}
V=π·(8π/3-2√3)
V=15.44
We use a site geogebra.org to plot the graph.
Answer:
-1/2 anwserchoice B
Step-by-step explanation:
negitive (-) and then rise (1 up) over run (two over)
good morning to you aswell <3
Answer:
3(4+3x)
Step-by-step explanation:
See Image below.
Answer:
c+p = 53
2.5c+1.5p = 105.5
p = 27
c= 26
Mrs. Johnson earned 65
Mr Smith earned 40.5
Mrs Johnson earned 24.50 more
Step-by-step explanation:
Let c = cookies sold
p = popcorn sold
The number of items sold is 53
c+p = 53
The total cost of the items sold is 105.50
The number of cookies sold times 2.50 plus the number of popcorn sold times 1.50 = 105.50
2.5c+1.5p = 105.5
System of equations:
c+p = 53
2.5c+1.5p = 105.5
Multiply the second equation by 10 to clear the decimals
10 *(2.5c+1.5p) = 10*105.5
25c+15p = 1055
Divide by 5
25c/5 +15p/5 = 1055/5
5c+3p =211
Multiply equation 1 by -5
-5(c+p)=-5*53
-5c-5p=-265
Add the equations
5c+3p =211
-5c-5p=-265
---------------------
-2p = -54
Divide by -2
-2p/-2 = -54/-2
p = 27
Now we need to find c
c+p = 53
c+27 = 53
Subtract 27 from each side
c+27-27 = 53-27
c= 26
Mrs. Johnson earned the number of cookies times 2.5
c* 2.5
26*2.5 =65
Mr Smith earned the number of popcorn times 1.5
p*1.5
27*1.5
40.5
Mrs Johnson earned 65-40.5 = 24.50 more
