Its 2544.766983
I just used my calculator :)
Answer:
B. The shape can be broken into a rectangular prism and a rectangular pyramid.
C. The formula for the volume of this figure is V = B h + one-third B h.
D. The volume of the container is 2,760 centimeters cubed.
Step-by-step explanation:
I did the edge test.
Answer:
$654.98
Around 7.7 years
Step-by-step explanation:
Value = P × e^(rt)
= 500 × e^(0.09×3)
= 500 × e^(0.27)
= 654.9822254
Double: 500 × 2 = 1000
1000 = 500 × e^(0.09t)
e^(0.09t) = 2
Use ln both sides
0.09t × lne = ln2
t = ln2 ÷ 0.09
t = 7.70163543
Answer:
See below
Step-by-step explanation:
<em>Vector argument</em>
Vector DF is (5, -4) - (5, 5) = (0, -9).
Vector EG is (2, 2) - (8, 2) = (-6, 0).
The dot-product of these two vector is (0, -9)•(-6, 0) = 0·(-6) + (-9)·0 = 0.
When the dot-product of two vectors is zero, those vectors are at right-angles to each other. Therefore diagaonal DF ⊥ diagonal EG.
_____
<em>Alternate argument</em>
The x-coordinates of points D and F are the same, so diagonal DF is a vertical line. The y-coordinates of points E and G are the same, so diagonal EG is a horizontal line. Vertical lines are perpendicular to horizontal lines, so DF ⊥ EG.
Answer:
B. (x-4)^2 + (y - 3)^2 = 5^2
Step-by-step explanation:
The equation for a circle is given by
(x-h)^2 + (y-k) ^2 = r^2
where (h,k) is the center and r is the radius
We have a center of (4,3) and a radius of 5
(x-4)^2 + (y-3) ^2 = 5^2
