Answer:
44
Step-by-step explanation:
Given that Avi used 11 toothpicks to form a row of 5 attached triangles.
Total number of toothpicks used = 89
Let the total number of triangles formed be represented by x, so that:
11 toothpicks = 5 triangles
It would be observed that only the first triangle starting the pattern has 3 toothpicks. So that;
the average number of toothpicks for 1 triangle = ![\frac{11}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B5%7D)
= 2.2
The number of toothpicks per triangle = 2.0
Thus,
x = ![\frac{89}{2.0}](https://tex.z-dn.net/?f=%5Cfrac%7B89%7D%7B2.0%7D)
= 44.5
x = 44
The total number of triangles formed is 44.
Can u say this in English please
<em>Answer:</em>
<h3>
<em>B'=</em><em>(</em><em>1</em><em>6</em><em>,</em><em>1</em><em>4</em><em>)</em></h3>
<em>It </em><em>is </em><em>clear </em><em>from </em><em>the </em><em>co-ordinates</em><em> </em><em>of </em><em>the </em><em>square </em><em>that </em><em>CD </em><em>is </em><em>parallel </em><em>to </em><em>X </em><em>axis </em><em>and </em><em>BC </em><em>is </em><em>parallel </em><em>to </em><em>y-axis.</em><em> </em><em>So,</em><em>X=</em><em>8</em><em>,</em><em>y=</em><em>7</em>
<em>so </em><em>the </em><em>co-ordinates</em><em> </em><em>of </em><em>B=</em><em>(</em><em>8</em><em>,</em><em>7</em><em>)</em>
<em>Now </em><em>after </em><em>dilation</em><em> </em><em>of </em><em>factor </em><em>2</em><em>,</em><em> </em><em>all </em><em>coordinates</em><em> </em><em>will </em><em>be </em><em>multiplied</em><em> </em><em>by</em><em> </em><em>2</em><em>.</em>
<em>So </em><em>B'=</em><em>(</em><em>1</em><em>6</em><em>,</em><em>1</em><em>4</em><em>)</em>
<em>hope </em><em>it</em><em> helps</em>
Answer:
459.2 liters.
Step-by-step explanation:
Let us convert our given amount of rolled oats and water in deciliters.
1 liter = 10 deciliters
19 liters = 19*10 deciliters = 190 deciliters.
![\text{Total amount of rolled oats consumed per day}=(190+2)\text{ deciliters}](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20amount%20of%20rolled%20oats%20consumed%20per%20day%7D%3D%28190%2B2%29%5Ctext%7B%20deciliters%7D)
![\text{Total amount of rolled oats consumed per day}=192\text{ deciliters}](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20amount%20of%20rolled%20oats%20consumed%20per%20day%7D%3D192%5Ctext%7B%20deciliters%7D)
46 liters=46*10=460 deciliters
Now let us find weekly consumption of oats and water by multiplying daily consumption of both items by 7.
Let us convert weekly consumption of water and oats into liters.
![\text{Total weekly consumption of oats and water}=\frac{4592\text{ deciliters}}{10}\cdot\frac{\text{ liters}}{\text{ deciliters}}}](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20weekly%20consumption%20of%20oats%20and%20water%7D%3D%5Cfrac%7B4592%5Ctext%7B%20deciliters%7D%7D%7B10%7D%5Ccdot%5Cfrac%7B%5Ctext%7B%20liters%7D%7D%7B%5Ctext%7B%20deciliters%7D%7D%7D)
![\text{Total weekly consumption of oats and water}=\frac{4592}{10}\text{ liters}](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20weekly%20consumption%20of%20oats%20and%20water%7D%3D%5Cfrac%7B4592%7D%7B10%7D%5Ctext%7B%20liters%7D)
![\text{Total weekly consumption of oats and water}=459.2\text{ liters}](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20weekly%20consumption%20of%20oats%20and%20water%7D%3D459.2%5Ctext%7B%20liters%7D)
Therefore, total weekly combined consumption of oats and water is 459.2 liters.