Answer:
1
Step-by-step explanation:
He should only be able to sell one because 5 acres divided by 3 is only 1 acre lot.
Answer:
2r (1 + √3)
Step-by-step explanation:
Circle O₁ is tangent to AB. Let's call the point of intersection point D. If we draw a radius from the center O₁ to D, we know this forms a right angle.
△ABC is an equilateral triangle, so we know m∠A = 60°. If we draw a line from A to O₁, we know that bisects the angle, so m∠DAO₁ = 30°.
So △DAO₁ is a 30-60-90 triangle. We can find the length AD:
AD = r √3
Now on the other side, circle O₃ is tangent to AB. Let's call the point of intersection point E. We know it's the same triangle we found earlier, so:
EB = r √3
And finally, we can draw a rectangle connecting O₁, O₃, E, and D. The distance between O₁ and O₃ is 2r, so:
DE = 2r.
Therefore:
AB = r√3 + 2r + r√3
AB = 2r√3 + 2r
AB = 2r (1 + √3)
Here's a graph showing the steps. Hopefully this helps, let me know if you have questions!
desmos.com/calculator/hgaonfzxsm
Hack way
25%=1/4
13 is 1/4 of something
1/4 times 4=4/4=1
therefor
13 times 4=1 whole
13*4=52
the original number is 52
Answer:
66 coolers
Step-by-step explanation:
C = 0.005x² - 0.3x + 17
When C = $19
19 = 0.005x² - 0.3x + 17
19 - 17 = 0.005x² - 0.3x
2 = 0.005x² - 0.3x
0.005x² - 0.3x - 2 = 0
x = -b ± √b² - 4ac / 2a
= -(-0.3) ± √-0.3² - 4*0.005*-2 / 2*0.005
= 0.3 ± √ 0.09 - (-0.04) / 0.01
= 0.3 ± √ 0.09 + 0.04 / 0.01
= 0.3 ± √ 0.13 / 0.01
= 0.3/0.01 ± √0.13/0.01
= 30 ± 0.36/0.01
x = 30 ± 36
x = 30 + 36 or 30 - 36
x = 66 or -6
Number of coolers can not be negative
Therefore, number of coolers produced when the cost is $19
is 66 coolers
