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3 years ago

A solid oblique pyramid has a square base with edges measuring x cm. The height of the pyramid is (x + 2) cm.

Mathematics

1 answer:

sasho [114]3 years ago

6 0

Answer:

Hello,

Answer A StartFraction x cubed + 2 x squared Over 3 EndFraction cm3

Step-by-step explanation:

$V=x^2*\dfrac{x+2}{3} \\\\\boxed{V=\dfrac{x^3+2x^2}{3} }\\$

the third of the sum of the cube of x and double of the square of x ( cm³)

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3 years ago

Find the center, vertices, and foci of the ellipse with equation 4x^2 + 9y^2 =36

Anvisha [2.4K]

<u>Answer: </u>

The center, vertices and foci of the ellipse with equation $4 x^{2}+9 y^{2}=36 is (0,0),(\pm 3,0),(\pm \sqrt{5}, 0)$ respectively

<u> Solution: </u>

The equation of ellipse with centre (0, 0) in the form of $\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1$ --- eqn 1

Where,

x is the major axis

Centre (0, 0)

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Foci is $(\pm \mathrm{c}, 0)$ where $c=\sqrt{a^{2}-b^{2}}$

Now given that the equation of ellipse is

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On dividing equation (2) by 36,

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On comparing equations (1) and (2),

We get a = 3, b= 2

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4 years ago

If JKLM is a rectangle, JL = 2x + 5, and MK = 7x – 40, find MK

frez [133]

Answer:

MK = 23

Step-by-step explanation:

Rectangle means that the angles are all 90 degrees, so all the sides are not tilted in any direction. Meaning the JL = MK, therefore:

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2x = 7x - 45

subtract 7x from both sides

-5x = -45

divide by -5

x = 9

Now input 9 into the equation

MK = 7(9) - 40 = 63 - 40 = 23

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