Answer: 7.5 cups of sugar.
Step-by-step explanation:
Add all of the above:
2+1.5+0.5+3+1.5= <u>8.5 cups of sugar</u>
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Since Zach only needs 1 cup of sugar, subtract 1 from 8.5.
Therefore, your answer is <u>7.5 cups of sugar.</u>
Answer:
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Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
If all the figures are similar, we'll have to shrink them at the same rate as the rest.
The ratio here is 2/5. So,
2/5 = 6.4/16
2/5 = x/10
x=4
Answer:
Step-by-step explanation:
1) The center lies on the vertical line x = -5 and the the circle is tangent to (touches in one place only) the y-axis. Thus, the radius is 5.
2) Starting with (x - h)^2 + (y - k)^2 = r^2 and comparing this to the given
(x - 4)^2 + (y + 3)^2 = 6^2
we see that h = 4, k = -3 and r = 6. The center is at (4, -3) and the radius is 6.
3) Notice that A and B have the same x-coordinate, x = 15. The center of the circle is thus (15, -2), where that -2 is the halfway point between the two given points in the vertical direction. Arbitrarily choose A(15, 4) as one point on the circle. Then the equation of this circle is
(x - 4)^2 + (y + 3)^2 = r^2 = 6^2, where the 6 is one half of the vertical distance between A(15, 4) and B(15, -8) (which is 12).