<span>Given a circle with radius r = 8 and a sector with subtended angle measuring 45°, find the area of the sector and the arc length.
They've given me the radius and the central angle, so I can just plug into the formulas. For convenience, I'll first convert "45°" to the corresponding radian value of π/4:
A = ((pi/4)/2)(8^2) = (pi/8)(8^2) = 8pi, s = (pi/4)(8) = 2pi
area A = 8π, arc-length s = 2π
Given a sector with radius r = 3 and a corresponding arc length of 5π, find the area of the sector.
For this exercise, they've given me the radius and arc length. From this, I can work backwards to find the subtended angle.
Then I can plug-n-chug to find the sector area.
5pi = (theta)(3), (theta) = (5/3)pi
So the central angle is (5/3)π.
Then the area of the sector is:
A = ((5/3)pi / 2)*(3^2) = ((5/6)pi)*(9) = (15/2)pi
A = (15 pi) / 2
</span><span>90/360 = 0.25 pi sq ft</span>
So i did 220 ÷ 8 and got 27.5 then multiplied by 5 to find how many miles and its 137.5
Answer:
x=-10
Step-by-step explanation:
15x+8=-2+14x
15x-14x=-2-8
x=-10
Answer:
The number of cards Paul had at the beginning was 64 cards
Step-by-step explanation:
Here we have a word problem as follows
Paul traded 13 baseball card to Dan for 4 new packs of 6 card each
Number of cards received from Dan = 6 × 4 = 24
Number of cards traded to Dan = 13
Net number of cards traded = 24 - 13 = 11
Total number of cards Paul now has = 75 cards
Therefore since Paul gained 11 cards to make his total number of cards = 75, then;
The initial amount of cards Paul had = 75 - 11 = 64 cards.
Answer: 42
Step-by-step explanation:
