Area of trapezoid = 1/2 (sum of parallel sides) × (perpendicular distance between them)
DС = 2 + 12 + 2 = 16 in
Area = 1/2 (16 + 12) × 9 = 14 × 9 = 126 in²
Answer:
The answer is 904.778 
.
Step-by-step explanation:
-You first need the formula for the volume of a cylinder:
-Take the radius and the height of the cylinder for the formula:
-Then, you solve the formula:
So, the answer is 904.778 .
Answer: Rikshaw bought it for 100. He lost 12% on selling it, so that means he must have sold it for 88. He wants to make 12% profit, so that means he should have sold it at 112.
But we know that he sold it for 2640.
Therefore, if 88 = 2640, 112 would be 2640*112/88 = 3360.
Answer:
The vertex of the parabola is;
([-1], [3])
Step-by-step explanation:
The given quadratic equation is presented as follows;
x² + 8·y + 2·x - 23 = 0
The equation of the parabola in vertex form is presented as follows;
y = a·(x - h)² + k
Where;
(h, k) = The vertex of the parabola
Therefore, we have;
x² + 8·y + 2·x - 23 = 0
8·y = -x² - 2·x + 23
y = 1/8·(-x² - 2·x + 23)
y = -1/8·(x² + 2·x - 23)
y = -1/8·(x² + 2·x + 1 - 23 - 1) = -1/8·(x² + 2·x + 1 - 24)
y = -1/8·((x + 1)² - 24) = -1/8·(x + 1)² + 3
Therefore, the equation of the parabola in vertex form is y = -1/8·(x + 1)² + 3
Comparing with y = a·(x - h)² + k, we have;
a = -1/8, h = -1, and k = 3
Therefore, the vertex of the parabola, (h, k) = (-1, 3).
