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liraira [26]
3 years ago
6

Eight members of the Math club equally shared three pizzas. Expressed as a fraction,whAt part of a pizza did each member receive

?
Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
4 0
3/8 of a pizza.

If you divide each pizza into eight parts, each member would receive 1/8 of one pizza. Since there are three pizzas, each member would receive three 1/8 of a pizza, or 3/8.

You can prove this answer by multiplying 3/8 by 8, to get 24/8 simplified to 3.
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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>

<u />

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
Find the simple interest you are investing $200 with a 5.2% interest rate of 3 years
kipiarov [429]

Answer:

Step-by-step explanation:

Simple interest is

I=Prt, where I= interest, P=principle (initial value), r=interest rate, t=time

I=200(0.052)3

I=$31.20

5 0
3 years ago
Read 2 more answers
A ball is thrown in the air from a ledge. It’s height in feet is represented by f(x) = -16(x^2-7x-8), where x is the number of s
Vika [28.1K]

you have to calculate the numbrrs

6 0
2 years ago
I need help with this :/
hoa [83]

Answer:

Plz mark me brainliest!!!!

Step-by-step explanation:

0

90

180

270

380

6 0
3 years ago
I dont know how to do graphing pls help
yarga [219]

Answer:

Solution: (-1, -1)

Step-by-step explanation:

y=4x+2

y=-4/3x-2

Solve by graphing.

First, you need to plot the y-intercept.

y=4x+<u>2</u>

2 will be your y-intercept.

Next, you plot your slope.

y=<u>4x</u>+2

From your y-intercept, you will go up 4 and right one space, if you run out of space go down 4 and left 1.

Now repeat the same steps for the next one.

y=-4/3x<u>-2</u>

Plot your y-intercept.

y=<u>-4/3x</u>-2

because your slope is negative you will go down 4 and right 3, if you run out of room go up 4 and left 3.

Then draw connecting lines and wherever the lines intersect, that's going to be your solution. In this case, the solution is (-1, -1).

Hope this helps :)

4 0
2 years ago
Read 2 more answers
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