<h3>
Answer: D. 2r^2</h3>
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Explanation:
The radius of the circle is r, which doubles to 2r to get the diameter. The diameter of the circle is also the diagonal of the square. Consequently, this means we have two right triangles in which they have the same hypotenuse of 2r.
Let x be the side length of the square. Use the pythagorean theorem to isolate x
a^2 + b^2 = c^2
x^2 + x^2 = (2r)^2
2x^2 = 4r^2
x^2 = 2r^2 ... divide both sides by 2
x = sqrt(2r^2) ... apply the square root to both sides; keep in mind that x > 0
x = sqrt(r^2*2)
x = sqrt(r^2)*sqrt(2)
x = r*sqrt(2)
The side length of the square is r*sqrt(2)
Therefore, the area of the square is
Area = (side)*(side)
Area = ( r*sqrt(2) )*( r*sqrt(2) )
Area = r*r * sqrt(2)*sqrt(2)
Area = r^2 * sqrt(2*2)
Area = r^2 * sqrt(4)
Area = r^2 * 2
Area = 2r^2
Answer:
Step-by-step explanation:
Buys for $45 and increased the price by 120%
The new price is (45*120)/ 100 = $54
$370 /$54 ≈ 6.8
The owner must buy at least 7 jackets.
7*54 = $378
378 > 370
Answer: $16
Step-by-step explanation:
Total Profit = $130 - $59
Tatol Profit = $80
Profit Per Seearter = $80 ÷ 5 =26
Answer:
slope=1/14
Step-by-step explanation:
y=8x+6x-32
14x-y-32=0
slope=-b/a
=1/14
First you want to find out how many marbles you start with so it'd be 8+7=15. You start with 15 marbles. If you randomly drew a blue marble, it'd be 8:15 and if you drew a yellow marble without replacing the blue one, it'd be 7:14 or 50-50 chance.
