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algol [13]
2 years ago
15

Lucas wants to put soil in his garden shown below. If soil comes in bags that fill 2 square yards each, how many bags of soil sh

ould Lucas buy? Hint: you may have some leftover soil.
The garden is 4/3 yards by 9/2 yards
Mathematics
1 answer:
Phantasy [73]2 years ago
8 0

Answer:

3 bags

Step-by-step explanation:

4/3 x 9/2 = 36/6

36/6 = 6 square yards

so you will nee 3 bags of soil.

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2 years ago
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EleoNora [17]
Check the picture below.

so... you can pretty much see how long RS and QT are, you can just count the units off the grid.

now, let's find QR's length

\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\&#10;\begin{array}{ccccccccc}&#10;&&x_1&&y_1&&x_2&&y_2\\&#10;%  (a,b)&#10;&Q&(~ 8 &,& 8~) &#10;%  (c,d)&#10;&R&(~ 14 &,& 16~)&#10;\end{array}~~ &#10;%  distance value&#10;d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}&#10;\\\\\\&#10;QR=\sqrt{(14-8)^2+(16-8)^2}\implies QR=\sqrt{6^2+8^2}&#10;\\\\\\&#10;QR=\sqrt{36+64}\implies QR=\sqrt{100}\implies QR=10

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\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\&#10;\begin{array}{ccccccccc}&#10;&&x_1&&y_1&&x_2&&y_2\\&#10;%  (a,b)&#10;&S&(~ 20 &,& 16~) &#10;%  (c,d)&#10;&T&(~ 22 &,& 8~)&#10;\end{array}~ &#10;d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}&#10;\\\\\\&#10;ST=\sqrt{(22-20)^2+(8-16)^2}\implies ST=\sqrt{2^2+(-8)^2}&#10;\\\\\\&#10;ST=\sqrt{4+64}\implies ST=\sqrt{68}\implies ST=\sqrt{4\cdot 17}&#10;\\\\\\&#10;ST=\sqrt{2^2\cdot 17}\implies ST=2\sqrt{17}

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