Answer: 450 cm³ is the volume
Step-by-step explanation:
Volume of pyramid = L x W x H divide by 3
Answer:
The motion of the particle describes an ellipse.
Step-by-step explanation:
The characteristics of the motion of the particle is derived by eliminating
in the parametric expressions. Since both expressions are based on trigonometric functions, we proceed to use the following trigonometric identity:
(1)
Where:
(2)
(3)
By (2) and (3) in (1):
![\left(\frac{y-3}{2} \right)^{2} + (x-1)^{2} = 1](https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7By-3%7D%7B2%7D%20%5Cright%29%5E%7B2%7D%20%2B%20%28x-1%29%5E%7B2%7D%20%3D%201)
(4)
The motion of the particle describes an ellipse.
Based on the given variation, y does not vary directly with x and the constant of variation are 8, 3.2 and 1.25 respectively.
<h3>Variation</h3>
y = k × x
where,
k = constant of proportionality
y = -40
x = -5
y = k × x
-40 = k × -5
-40 = -5k
k = -40/-5
k = 8
when,
y = 8 and x = 2.5
y = k × x
8 = k × 2.5
8 = 2.5k
k = 8/2.5
k = 3.2
when,
y = 5 and x = 4
y = k × x
5 = k × 4
5 = 4k
k = 5/4
k = 1.25
Learn more about variation:
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7:54...10:55 - 33 minutes is 10:22. Then subtract 2 hours, brings you to 8:22. Then subtract 28 minutes, and is 7:54