Centripetal acceleration is given by:
g=v^2/r
where:
v=velocity
r=rate
But
V=200 m/s, g=9.8 m/s^2
plugging the values in the formula we obtain:
9.8=200^2/r
r=200^2/9.8
r=4081.63 m
Answer:
18.852:50.272
Step-by-step explanation:
Step one:
given
The radii of two right circular cylinders are in the ratio 3 : 4
r1= 3
r2= 4
Their heights are in the ratio 1 : 2
h1= 1
h2= 2
Step two:
The expression for the curve surface area is
CSA= 2πrh
CAS1= 2πr1h1
CAS1= 2*3.142*3*1
CAS1= 18.852
CAS2= 2πr2h2
CAS2= 2*3.142*4*2
CAS1= 50.272
The ratio of their curved surface areas
=18.852:50.272
Answer:
2744 pennies.
Step-by-step explanation:
Let x represent the number of pennies Al have initially.
We have been given that Al agreed to give 3/7 of his pennies to Bev, so number of pennies Bev will get would be 
.
We are also told that Bev gave 3/7 of what she got from Al to Carl, so number of pennies that Carl will get would be 
.
Further, Carl gave 3/7 of what he got from Bev to Dani, so number of pennies that Dani will get would be 
.
We are also told that Dani received 216 pennies. Now, we will equate 216 to 
and solve for x as shown below:
Therefore, Al have 2744 pennies initially.
Answer: B) a + c = 10
8a + 5c = 59
Step-by-step explanation:
We know that 10 total people went, so the first equation has to be equal to 10. The total was $59, so the second equation should be set equal to $59. Now that the second equation is for cost, we must make it 8a + 5c to represent the cost of the adult and child tickets which are $8 and $5, respectively.
Suzette ran for 1.6 hours and biked for 2.4 hours.
Let x = total hours Suzette ran.
Let y = total hours Suzette biked.
The equation to solve the question will be:
x + y = 4 ...... i
6.5x + 14y = 44.75 ....... ii
From i, y = 4 - x
Put the value of y into equation ii
6.5x + 14y = 44.75
6.5x + 14(4 - x) = 44.75
6.5x + 56 - 14x = 44.75
Collect like terms
6.5x - 14x = 44.75 - 56
-7.5x = -11.25
x = 11.25/7.5
x = 1.6 hours
Since x + y = 4
1.6 + y = 4
y = 4 - 1.6
y = 2.4 hours.
Suzette ran for 1.6 hours and biked for 2.4 hours.
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