Answer:
r=11 m
Step-by-step explanation:
Too lazy to explain:
πr²h=v
3.14*r²*12=4560
r²≈121
r is 11 m
Answer:
<h2>11.25min</h2>
Step-by-step explanation:
In this problem, we first need to find the rate at which syn burns calories per minute
so in 15mins, he burns 200 calories
in 1 mins he will burn x
x= 200/15
x=13.33 calories per min this is the rate
So in one minute he will burn 13.33 calories
Now using the idea of rate=quantity/time
the rate=13.33
quantity=15 calories
time=?
time=quantity/rate
time=150/13.33
time=11.25min
Alternatively
(very fast approach)
if syn spend 15min to burn 200 cal
then he will spend x min to burn 150 cal
cross multiply
x=(150*15)/200
x=2250/200
x=11.25mins
<u>Given</u>:
Given that a circle O with two tangents BA and BC.
The major arc AC is 234°
The minor arc AC is 126°
We need to determine the measure of ∠ABC
<u>Measure of ∠ABC:</u>
We know the property that, "if a tangent and a secant, two tangents or two secants intersect in the interior of the circle, then the measure of angle formed is one half the difference of the measures of the intercepted arcs."
Hence, applying the above property, we have;
Substituting the values, we get;
Thus, the measure of ∠ABC is 54°
Hence, Option b is the correct answer.
Answer:
This problem is a great systems of equations problem--you have two different variables: song size and number of songs.
Let's call the number of standard version downloads (S) and the high quality downloads (H).
You can make two statements:
For number of songs downloaded: S + H = 910
For download size: 2.8(S) + 4.4(H) = 3044.
S will be the same number in both equations and H will be the same number in both equations, so to find S, we can rearrange the first statement to H = 910 - S, then substitute or plug in (910 - S) wherever you see an H in the second equation so that you have only S's in your equation. Should look like this:
2.8(S) + 4.4(910 - S) = 3044
2.8S + 4004 - 4.4S = 3044
-1.6S = -960
s = 600
Your question only asks for the standard version downloads, but to help you out in future Systems situations-
You can also solve for H once you have S by plugging it into either of your equations like this:
600 + H = 910
-600
H=310
Step-by-step explanation:
hope it help
*comment if my answer is wrong*
