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3 years ago

Austen has 6 sets of 10 baseball cards Tim has three sets of 10 baseball cards how many baseball cards do they have anal

Mathematics

1 answer:

EastWind [94]3 years ago

5 0

90. To get to this answer, you would multiply 6 X 10 and 3 X 10. You would then add the products: 60 + 30 = 90.

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Pyramid A has a triangular base where each side measures 4 units and a volume of 36 cubic units. Pyramid B has the same height,

omeli [17]

Answer:

The volume of pyramid B is 81 cubic units

Step-by-step explanation:

Given

Pyramid A

$s = 4$ -- base sides

$V = 36$ -- Volume

Pyramid B

$s = 6$ --- base sides

Required

Determine the volume of pyramid B [Missing from the question]

From the question, we understand that both pyramids are equilateral triangular pyramids.

The volume is calculated as:

$V = \frac{1}{3} * B * h$

Where B represents the area of the base equilateral triangle, and it is calculated as:

$B = \frac{1}{2} * s^2 * sin(60)$

Where s represents the side lengths

First, we calculate the height of pyramid A

For Pyramid A, the base area is:

$B = \frac{1}{2} * s^2 * sin(60)$

$B = \frac{1}{2} * 4^2 * \frac{\sqrt 3}{2}$

$B = \frac{1}{2} * 16 * \frac{\sqrt 3}{2}$

$B = 4\sqrt 3$

The height is calculated from:

$V = \frac{1}{3} * B * h$

This gives:

$36 = \frac{1}{3} * 4\sqrt 3 * h$

Make h the subject

$h = \frac{3 * 36}{4\sqrt 3}$

$h = \frac{3 * 9}{\sqrt 3}$

$h = \frac{27}{\sqrt 3}$

To calculate the volume of pyramid B, we make use of:

$V = \frac{1}{3} * B * h$

Since the heights of both pyramids are the same, we can make use of:

$h = \frac{27}{\sqrt 3}$

The base area B, is then calculated as:

$B = \frac{1}{2} * s^2 * sin(60)$

Where

$s = 6$

So:

$B = \frac{1}{2} * 6^2 * sin(60)$

$B = \frac{1}{2} * 36 * \frac{\sqrt 3}{2}$

$B = 9\sqrt 3$

So:

$V = \frac{1}{3} * B * h$

Where

$B = 9\sqrt 3$ and $h = \frac{27}{\sqrt 3}$

$V = \frac{1}{3} * 9\sqrt 3 * \frac{27}{\sqrt 3}$

$V = \frac{1}{3} * 9 * 27$

$V = 81$

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3 years ago

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Of flowers in bells garden 1/5 are tulips what percent of them are not tulips

EleoNora [17]

4/5, or 80%, of the flowers are not tulips.

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3 years ago

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Write your answer without using negative exponents

Reil [10]

Answer:

$\frac{1}{ {u}^{42} }$

Step-by-step explanation:

From law of indices

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What is the measurement of m<1

klio [65]

Check the picture below.

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2 years ago

In imaginary numbers can you multiply two radicals that have negative values under them that do not square to whole numbers

ElenaW [278]

Yes, you can; based on the inherent assumption that the "two radicals that have negative values" are, in fact, "imaginary numbers" .

Take, for example, the commonly known "imaginary number": "i" ; which represents the "imaginary number" ; " √-1 " .

Since: "i = √-1" ;

Note that: " i² = (√-1)² = √-1 * √-1 = √(-1*-1) = √1 = 1 .
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3 years ago

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