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3 years ago

Need help on question 22

Mathematics

2 answers:

zhannawk [14.2K]3 years ago

5 0

You multiply 5 times 10, which gives you 50. This is the length of one side. Since it's a square, all sides are the same length.

Answer: 50cm x 50cm

DIA [1.3K]3 years ago

5 0

You multiply 5 x 10
Your answer would be 50 x 50

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

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

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

$V = 81$

6 0

3 years ago

Read 2 more answers

Help i still dont understand

VladimirAG [237]

Answer:

1. c

2. a

3. d

4. b

Step-by-step explanation:

For 1, use parchment paper for rotating it around the origin.

For 2, just make the y value positive.

For 3, add 13 to the y value.

For 4, use process of elimination with the answer choices.

(I know right, horrible explanation but you wanted the answers right?)

4 0

3 years ago

Write an equation of a line that passes through (-12, -14) with slope 6.

damaskus [11]

The slope intercept form of a line is y = mx + b

m = slope
b = y-intercept

Plug in the slope, 6, into m.

Rewrite the equation;

y = 6x + b
We need to find b, your y-intercept, to finish this equation.

Plug in your point coordinate, (x, y) ⇒ (-12, -14) into the equation.

-14 = 6(-12) + b

Solve for b to find the y-intercept.

-14 = -72 + b
58 = b

Your new equation (your answer) is y = 6x + 58.

6 0

3 years ago

Convert the decimals to fractions in the simplest fractions. Show your work 10.6= 5.05=

professor190 [17]

Answer: 53/5, 101/20

Step-by-step explanation:

10.6 is = 106/10. Then divide both numerator and denominator by 2. Then it equals 53/5.

5.05 = 505/100. Then divide both numerator and denominator by 5. This will equal 101/20.

5 0

3 years ago

Arrange the steps to perform this subtraction operation in the correct order.

taurus [48]

Answer:

=1.23*10^6

Step-by-step explanation:

We have to calculate

(1.93*10^7 )-(9.7*10^6)

In order to add or subtract two numbers in scientific notation, we have to make sure that the power of exponents in both numbers is same.

We have to reduce the power of 10 in first number from 7 to 6

So,

Step 1:

1.93*10^7=1.93*10*10^6

=10.93*10^6

Now,

Step 2:

=(1.93*10^7 )-(9.7*10^6 )

= 10.93*10^6- 9.7*10^6

Step 3:

=(10.93-9.7)*10^6

=1.23*10^6

7 0

3 years ago

Read 2 more answers