Answer:
Height = 3.82
Step-by-step explanation:
(3.14)(5)²
(3.14)(25)
= 78.5
300 = 78.5h
300/78.5 = 78.5h/78.5
h = 3.821656051 or approximately 3.82
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).
Answer:
7 markers cost $8.95
Step-by-step explanation:
9x = 11.50
x = 11.5/9 = 1.278
Therefore, 7 markers, or 7x = 7(1.278) = 8.946
Answer:
6u+7u-16=-81
We simplify the equation to the form, which is simple to understand
6u+7u-16=-81
We move all terms containing u to the left and all other terms to the right.
+6u+7u=-81+16
We simplify left and right side of the equation.
+13u=-65
We divide both sides of the equation by 13 to get u.
u=-5
Step-by-step explanation:
I think i did it correct