Answer:
4√(3π) ft ≈ 12.28 ft
Step-by-step explanation:
The formulas for volume of a cone and a cylinder can be used to find the radius of the silo. Then the formula for the circumference of a circle can be used to find the circumference.
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Relevant formulas are ...
- V = πr²h . . . . . volume, cylinder with radius r, height h
- V = 1/3πr²h . . . . volume, cone with radius r, height h
- C = 2πr . . . . . . . . circumference of a circle with radius r
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<h3>radius from volume</h3>
The total volume of the silo is the sum of the volumes of a cylinder of height (15 -6) = 9 ft, and a cone of height 6 ft. Both have the same radius: r. The total volume is given as 132 ft³.
V = πr²h + 1/3πr²h' . . . . . . h = cylinder height, h' = cone height
132 ft³ = πr²(9 ft +1/3(6 ft)) = πr²(11 ft)
r² = 132 ft³/(11π ft) = 12/π ft²
r = √(12/π) ft = 2√(3/π) ft
<h3>circumference from radius</h3>
Then the circumference of the silo is ...
C = 2πr = 2π(2√(3/π)) ft = 4√(3π) ft ≈ 12.28 ft
The circumference of the base of the silo is 4√(3π), about 12.28 feet.
-4,6
x^2 - 2x - 24 = 0
Factorise the equation
Products are -6 and 4
(x-6) (x+4) = 0
x = 6 and x = -4
Hope it helped!
Answer:
75% of the households have between 2 and 6 televisions
Step-by-step explanation:
From the question, we can deduce the following;
sample size n= 8
sample mean μ = 4
standard deviation σ = 1
Using Chebychev’s theorem;
P(2 ≤ X ≤ 6) = P(2-4 ≤ (X - μ) ≤ 6-4)
= P(-2 ≤ (X-μ) ≤ 2) = P(|X-μ| ≤ kσ) ≥ (1 - 1/k^2) ≥ (1- 1/2^) = 1- 0.25 = 0.75 ( same as 75%)
It would be A. You can find this out by using SOH CAH TOA,
SOH means sin= opposite/hypotenuse
CAH mean cos= adjacent/hypotenuse
TOA means tangent= opposite/adjacent
You would use CAH since you are trying to find cos∠C
You would have cos∠C=10/26.
26 is the hypotenuse since it is opposite the right angle and is the biggest side.
10 is the adjacent since it is right next to C
You would simplify this down to 5/13 by dividing by 2.
This gives you A.