Answer:
4. About 2,700 in2
Step-by-step explanation:
The area of a circle (
), measured in square inches, is directly proportional to the square of its diameter (
), measured in inches. That is:


Where
is the constant of proportionality, dimensionless.
In consequence, the following relationship between circles A and B is obtained:

The area of the circle B is now cleared:

Given that
,
and
, then:


Therefore, the correct answer is 4.
Answer:
d ≈ 1732 ft
Step-by-step explanation:
Angle of elevation = Angle of depression
Following this truth,
m∠PAQ (Angle of depression) = m∠APB (Angle of elevation) = 30°
By applying tangent rule in the given triangle ABP,
tan(30°) = 

d = 1000√3
d = 1732.05
d ≈ 1732 ft
For the first 6 trips she walked 3.2 kilometers and for the next 6 she made another 3.2 which would be 6.4 kilometers for 12 trips now she made 3 more trips which is half of the amount she originally did so it would be half of the distance also so 3.2 divided by 2 is 1.6 kilometers so for the last 3 trips she walked 1.6 kilometers. now add up all the distance she walked so 6.4 kilometers for the 12 trips plus the 1.6 for the other 3 trips is 8 kilometers in total. she walked 8 kilometers after 15 trips.
You would use the point-slope equation of y-y₁=mx(x-x₁)
So the rate of change is the slope and equals m, so m=-4
and has a solution at (-5,2) which would be the (x₁, y₁) and then it is just plugging in the numbers
y - (2) = (-4)(x - (-5))
y - 2 = -4 (x+5)
y - 2 = -4x - 20
y = -4x - 18
<span>To solve for p:
3p – 6 > 21
</span><span>3p - 6 + 6 > 21 + 6 (add 6 to both sides)
</span><span>3p > 27
3p/3 </span><span>> 27/3 (divide both sides by 3 to get p by itself)
</span><span>p > 9</span>