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3 years ago

Damarcus says the number 24/6 belongs only to the set of rational numbers. Explain the error

Mathematics

1 answer:

Lelu [443]3 years ago

4 0

24/6 is 4 which is also a whole number and an integer

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Find the volume of the garden shed

Leno4ka [110]

Answer:

47.3 m³

Step-by-step explanation:

The garden shed is made up of a rectangular prism and a pyramid.

<h3><u>Volume of a rectangular prism</u></h3>

$\begin{aligned}\textsf{Volume of a rectangular prism}&=\sf width \times length \times height\\&=4 \times 4 \times 2\\&=16 \times 2\\&=32\;\; \sf m^3\end{aligned}$

<h3><u>Volume of a pyramid</u></h3>

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From inspection of the given diagram, the slant height of the pyramid is 3.5 m.

Calculate the perpendicular height of the pyramid using Pythagoras Theorem:

$\begin{aligned}\implies a^2+b^2&=c^2\\2^2+h^2&=3.5^2\\h^2&=8.25\\h&=\sqrt{8.25}\;\; \sf m\end{aligned}$

Therefore:

$\begin{aligned}\textsf{Volume of a pyramid}&=\dfrac{\sf length \times width \times height}{3}\\\\&=\dfrac{\sf 4 \times 4 \times \sqrt{8.25}}{3}\\\\& = 15.31883372\;\; \sf m^3\end{aligned}$

<h3><u>Volume of the garden shed</u></h3>

$\begin{aligned}\implies \textsf{Volume of shed}&=\textsf{Volume of rectangular prism}+\textsf{Volume of pyramid}\\&=32+15.31883372\\& = 47.3\;\; \sf m^3\;(nearest\;tenth)\end{aligned}$

6 0

1 year ago

Read 2 more answers

Factor completely, then place the factors in the proper location on the grid.

Lyrx [107]

4(x+5y)(x-3y)
I don't know what you mean by placing the factors on the grid

6 0

3 years ago

Distance between (-6, -2) and (0,-1)

s344n2d4d5 [400]

Hey there! I'm happy to help!

To find the distance between two points, you square the difference of the x-values and square the difference of the y-values, add them, and then you square root it!

First, we'll add our two x-values.

-6-0= -6

We square it, which means to multiply it by itself.

-6(-6)=36 (If you multiply an even number of negative numbers, your answer is positive. Since we have two negative numbers, we get positive 36)

Now, we do the same with the y-values.

-2-(-1)=-1 (two negatives make it a plus, as in minus minus 1 is plus one.)

We square it.

-1(-1)=1

Now, we add these x and y value differences.

36+1=37

Now, we find the square root using a calculator.

√37≈6.08

Have a wonderful day!

5 0

3 years ago

The size of a bicycle is determined by the diameter of the wheel. You want a 24-in bicycle for Christmas. What is the circumfere

scZoUnD [109]

C=d x pi
d= 24
C= 24 x 3.14
C=75.36 inches

hope this helps

8 0

3 years ago

What is a atom? Help me out guys!

Deffense [45]

A basic unit of a chemical element

8 0

3 years ago