They are same side exterior angles meaning they are supplementary and supplementary means they add up to 180 so.....
2y+34+74=180
2y+108=180
2y=72
y=36
Substitute 36: 2(36)+34=106
106+74=180
180=180
Step-by-step explanation:
First we find the function
g
(
f
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x
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)
To do this we substitute the variable
x
in
g
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x
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for
f
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x
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:
∴
g
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x
)
=
3
x
−
2
g
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f
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x
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)
<span>The correct option is C, that is, both employers and applicants pay fees to private employment agencies. Employment agencies have two different method of getting their fees paid, these are: employer paid fees and applicant paid fees. For the employer paid fees, the employer takes the total responsibility for the payment of fees while in applicant paid fees, the applicant is responsible for paying the agency.</span>
Answer:
9.43 cm³
Step-by-step explanation:
Given that the surface area of the spherical scoop is 36π cm², we find its radius. The surface area of a sphere, A = 4πr² where r = radius
36π cm² = 4πr²
r² = 36π cm²/4π
r² = 9 cm²
r = √(9 cm²)
r = 3 cm
So, the volume of the spherical scoop of ice cream is thus V = 4πr³/3
= 4π(3 cm)³/3
= 4π(9 cm³)
= 36π cm³
The volume of the ice cream cone is V' = πr²h/3 where r = radius of cone = radius of spherical scoop = 3cm and h = height of cone = 11 cm
V' = π(3 cm)² × 11 cm/3
= 9π cm² × 11 cm/3
= 33π cm³
So, the volume of ice cream that will overflow is thus V - V' = 36π cm³ - 33π cm³
= 3π cm³
= 9.43 cm³