Answer:
A) x-8
Step-by-step explanation:
because
Find the simple interest for $5,000 at 5.3% for 16months rounded to nearest cent
1 answer:
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I love these. It's often called the Shoelace Formula. It actually works for the area of any 2D polygon.
We can derive it by first imagining our triangle in the first quadrant, one vertex at the origin, one at (a,b), one at (c,d), with (0,0),(a,b),(c,d) in counterclockwise order.
Our triangle is inscribed in the rectangle. There are three right triangles in that rectangle that aren't part of our triangle. When we subtract the area of the right triangles from the area of the rectangle we're left with the area S of our triangle.
That's the cross product in the purest form. When we're away from the origin, a arbitrary triangle with vertices will have the same area as one whose vertex C is translated to the origin.
We set
That's a perfectly useful formula right there. But it's usually multiplied out:
That's the usual form, the sum of cross products. Let's line up our numbers to make it easier.
(1, 2), (3, 4), (−7, 7)
(−7, 7),(1, 2), (3, 4),
[tex]A = \frac 1 2 ( 1(7)-2(-7) + 3(2)-4(1) + -7(4) - (7)(3)
Answer:
Step-by-step explanation:
From the way the answers are presented, it can be seen that x refers to the radius of the base of the cone
radius:
and we are told that the height is twice the radius, so:
height:
and now we use the formula to calculate the volume of a cone:
where is volume,
is radius, and
is the height. and
is a constant
in this case
so we substitute thisvalues in the formula for the volume:
Rearranging the terms
which is option A.