The volume given is 3Pi(x^3) and the radius is x.
The formula for the volume of a cone is V= [1/3]Pi(r^2)*height
=> [1/3]Pi (r^2) x = 3Pi(x^3) =>
(r^2)x = 3*3(x^3) => (r^2)x = 9(x^3) => (r^2) = 9x^2 =>
r = sqrt[9x^2] = 3x.
<span>Answer: r = 3x</span>
Gordon gets £72
Explanation:
Sarah gets twice as much as Gordon and Gordon gets three times as much as Malachy, which means that Malachy gets 1 part of the money, Gordon gets 3 parts because he has three times as much as Malachy, and Sarah gets 6 because she gets twice as much as Gordon. As a ratio from Sarah to Gordon to Malachy its 6:3:1. All of that adds up to £240. If u add 6+3+1 it gives you 10. 240/10 is £24. And Gordon has 3 parts so you do 3x24 which gives you £72
If a random sample of 20 persons weighed 3,460, the sample mean x-bar would be 3460/20 = 173 pounds.
The z-score for 173 pounds is given by:
Referring to a standard normal distribution table, and using z = 0.66, we find:
Therefore
The answer is: 0.2546
Answer:
35°
Step-by-step explanation:
We assume that points S, T, U, V all lie on the circle.
Inscribed angle TUV intercepts long arc VST and short arc VUT. The long arc has measure 220°, so the measure of the short arc is 360° -220° = 140°.
Since chords UV and UT are the same length, point U bisects arc VUT. That means the measure of arc VU is 140°/2 = 70°.
Inscribed angle VSU intercepts arc VU, so has half the measure of the arc:
∠VSU = 70°/2
∠VSU = 35°
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