A clock tower has a circular clock face with an area of 144pi square feet. What is the diameter of the clock face? Teacher wants to see method using square root and showing step by step work. Please help.
Answers
Answer:
d = 24
Step-by-step explanation:
The area of a circle is given by A = π * r²
We are told the area of the clock is 144π.
Let's clear the formula for the radius:
r² = A / π
r² = 144π / π
r² = 144
r = √144
r = 12
The diameter is two times the radius, d = 2r = 2*12 = 24.
Final answer:
To find the diameter of the clock face, we can use the formula A = πr² and solve for r using the given area. The diameter can then be found by multiplying the radius by 2.
Explanation:
To find the diameter of the clock face, we need to find the radius of the clock first. The area of a circle is given by the formula A = πr², where A is the area and r is the radius. Given that the area of the clock face is 144π square feet, we can set up the equation as follows:
144π = πr²
To solve for r, we divide both sides of the equation by π:
144 = r²
Taking the square root of both sides, we find:
r = √144 = 12
Since the diameter is twice the radius, the diameter of the clock face is 2 times 12, which is 24 feet.
Learn more about Finding the diameter of a circular clock face here:
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Answer:
.074 I believe
Step-by-step explanation:
Answers
-1.0, 1.0
EXPLANATION
The given polynomial function is
According to the Rational Roots Theorem, the possible roots of this function are;
We now use the Remainnder Theorem to obtain;
But;
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Answer:
D
Step-by-step explanation:
Just took the test
Answers
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Take all the common prime factors, by the lowest powers.
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Answers
Hope this helps!
Answer:
None of the numbers are divisible by three, therefore there could never be a multiple of three. Mary is correct
Also I have that same rug XD
B. a^3
C. -a/a^2
D.a^4/a^3
2. Simplify: r^2s^4t/r^2st^3
A. s^3/t^2
B. s^3/t
C. s^2t^3
D. s/t
3. Simplify: 3x^6/18x
A. 1/6
B. x^4/6
C. x^5/6
D. x^6/6
4. Identify the property demonstrated 4^3x4^7 = 4^3+7
A. Quotient of Powers Property
B. Power of a Power Property
C.Power of a Product Property
D.Product of Powers Property
5. Identify the property demonstrated: (a^7)^3 = a^7 x 3
A. Power of a Product Property
B. Quotient of Powers Property
C. Product of Powers Property
D. Power of a Power Property
Thank you so much whoever helps!!!
Answers
=a^[7-4]
=a³
2) r²s⁴t/r²st³
=s⁴-¹.t¹-³
=s³.t-²
=s³/t²
3)3x^6/18x
=x^5/6