3 years ago

The square pyramids are similar. Find the volume of the smaller pyramid. Round your answer to the nearest hundredth.

Mathematics

1 answer:

frozen [14]3 years ago

8 0

Answer:

Step-by-step explanation:

Since the pyramids are similar, the scale factor will be 3. So the height of the small pyramid is 6.3/3=2.1. The volume will be (1/3)*(2.1)*(2.3)^2=3.70

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Write the equation of a vertical ellipse with a major axis of 20, a minor axis of 12, and a center of (6, 3)

maksim [4K]

Answer:

The equation of a vertical ellipse is $\frac{(x-6)^2}{100} + \frac{(y-3)^2}{36} = 1\\$

Step-by-step explanation:

Here, given:

Length of major axis: 20

⇒ 2 a = 20 , or , a = 10

Length of minor axis: 12

⇒ 2 b = 12 , or , b = 6

Also, center (h,k) = (6,3)

Now, STANDARD EQUATION OF ELLIPSE :

$\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1\\$

Now, substituting the values, a, b , h and k in above expression, we get:

$\frac{(x-6)^2}{10^2} + \frac{(y-3)^2}{6^2} = 1\\$

or, $\frac{(x-6)^2}{100} + \frac{(y-3)^2}{36} = 1\\$

Hence, the equation of a vertical ellipse is $\frac{(x-6)^2}{100} + \frac{(y-3)^2}{36} = 1\\$

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3 years ago

Jane’s cell phone plan is $58 each month plus $0.20 per minute for each minute over 200 minutes of call time. Jane’s cell phone

Lyrx [107]

Answer:

m = (67$ - 58$)/0.20$

_____________________

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2 years ago

Simplify -4 (y +1) -2

Alik [6]

Answer:

-4y -6

Step-by-step explanation:

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2 years ago

What is 2/3+1/2 equal to

Ahat [919]

2/3 + 1/2 is 7/6
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Find the conjugate of the complex number, use division: 2+i —— 1+i

Fittoniya [83]

I assume you mean divide using the conjugate to rationalize the denominator and express the result in standard rectangular form.

$\dfrac{2+i}{1+i} = \dfrac{2+i}{1+i} \cdot \dfrac{1-i}{1-i} = \dfrac{2(1)-i^2-2i+i}{1^2+1^2} = \frac 3 2 - \frac 1 2 i$

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3 years ago