Which expression represents the volume of the pyramid? StartFraction x cubed + 2 x squared Over 3 EndFraction cm3 StartFraction
2 answers:
Answer:
<h3> (x³+2x²)/3 cm³</h3>Step-by-step explanation:
Find the diagram attached
Volume of a pyramid = 1/3 * Base area * height
Base area = x*x
Base area = x²
Height = x+ 2
Get the volume:
Volume of the pyramid = 1/3 * x² * x+2
Volume of the pyramid = x²(x+2)/3
<em>Volume of the pyramid = (x³+2x²)/3 cm³</em>
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Hi there!
Parabola x² = 12y
→ x² = 4ay
→ 4a = 12
→ a = 12÷4
→ a = 3
So, the co-ordinates of the focus is:-
S(0,a)=(0,3)
→ Let AB be the latus rectum of the given parabola.
→ Coordinates of end-points of latus rectum are (-2a,a), (2a,a)
→ Coordinates of A are (-6,3), while B's coordinates are (6,3).
→ ∆OAB are O(0,0), A(-6,3), B(6,3)
Area of ∆OAB is :-
(<em>Solving part attached as image</em>)
=> <u>1</u><u>8</u><u> </u><u>unit</u>² is the required answer.
Answer:
25 in and 9 cm
Step-by-step explanation:
Using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the missing side
A
x² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )
x = = 25
B
x² + 12² = 15²
x² + 144 = 225 ( subtract 144 from both sides )
x² = 81 ( take square root of both sides )
x = = 9