R=12cm
circumference=2×pi×r
=2×3.14×12
=75.36cm
area = pi×r^2
=3.14×12×12
=3.14×144
=452.16cm^2
Answer:
She will have a loss of $ 120
Step-by-step explanation:
Purchase price of car = $ 3000
20% of 3000 = 
= 20 * 30
= $ 600
Selling price = 3000 + 600 = $ 3600
Reduction price = 20% of 3600

= 20 * 36
= $ 720
Current selling price after reduction = 3600 - 720
= $ 2880
Loss = 3000 - 2880
= $ 120
Two or more angles whose sum is 180° are called supplementary angles. The measure of the ∠y is 120°.
<h3>What are supplementary angles?</h3>
Two or more angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.
Given the puck strikes the wall at an angle of 30°, it goes away at the same angle of 30°. Therefore, the measure of angle y can be found using the sum of the angle as a supplementary angle. Thus, we can write,
30° + ∠y + 30° = 180°
60° + ∠y = 180°
∠y = 180° - 60° = 120°
Hence, the measure of the ∠y is 120°.
Learn more about Supplementary Angles:
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11x-57 is the answer. Try drawing a diagram. It’ll help.
Let's write the parametric line
(x,y,z) = (0,2,8) + t(5,-1,4)
(5,-1,4) is called the direction vector of the line. It's normal to the plane
5x - y + 4z = constant
We get the constant by substituting the point (3,0,7),
5x - y +4z = 5(3) - 0 + 4(7) = 43
5x - y +4z = 43