For full circle area is π * R² [here R = radius],
for a sector of circle with angle β, area will be = (β/2) * R², β is in radian,
here let β = 22.5° = (π * 22.5/180) = π/8 radian,
now [(π/8)/2] * R² = 9π, [π/16] * R² = 9π
R² = 9 * 16 = 144,
R = √144 = 12 m
1) Since there are 16 ounces in a pound you multiply 16 by the number of pounds. So 6x16=96 then add the extra ounces and your answer is 100 oz.
2) Seth finished faster because she finished in 24 second, since there are 3 feet per yard, you multiply 3x200=600, then, you divide 600 feet by 25 feet and you get 24. So Seth finished in 24 seconds
Answer:
Option A.
Step-by-step explanation:
<u><em>The complete question is</em></u>
The function g is given in three equivalent forms.
Which form most quickly reveals the vertex?
A)g(x)= 1/2(x-8)^2-8
B)g(x)= 1/2(x-12)(x-4)
C)g(x)= 1/2x^2-8x+24
we know that
The equation of a quadratic function in vertex form is equal to
where
a is the leading coefficient
(h,k) is the vertex of the function
In this problem, the option A is the equation of the function in vertex form
we have
where the vertex is the point (8,-8)
therefore
Option A
Answer:
13.5 hours
Step-by-step explanation:
If it takes Amy 12 hours to complete the job alone
And it takes Tom 15 hours to complete the same job alone,
How long will it take for both of them to get the job done together?
Amy= 12 hours
Tom= 15 hours
Amy + John =?
(12 + 15)/ 2
27/2= 13.5 hours.
So it would take Amy and Tom 13.5 hours to complete the job together.
For the first question, all you have to do is substitute the values. for example g(x)=-5x+2 becomes g(-1)=-5(-1)+2