Answer:
The other side was decreased to approximately .89 times its original size, meaning it was reduced by approximately 11%
Step-by-step explanation:
We can start with the basic equation for the area of a rectangle:
l × w = a
And now express the changes described above as an equation, using "p" as the amount that the width is changed:
(l × 1.1) × (w × p) = a × .98
Now let's rearrange both of those equations to solve for a / l. Starting with the first and easiest:
w = a/l
now the second one:
1.1l × wp = 0.98a
wp = 0.98a / 1.1l
1.1 wp / 0.98 = a/l
Now with both of those equalling a/l, we can equate them:
1.1 wp / 0.98 = w
We can then divide both sides by w, eliminating it
1.1wp / 0.98w = w/w
1.1p / 0.98 = 1
And solve for p
1.1p = 0.98
p = 0.98 / 1.1
p ≈ 0.89
So the width is scaled by approximately 89%
We can double check that too. Let's multiply that by the scaled length and see if we get the two percent decrease:
.89 × 1.1 = 0.979
That should be 0.98, and we're close enough. That difference of 1/1000 is due to rounding the 0.98 / 1.1 to .89. The actual result of that fraction is 0.89090909... if we multiply that by 1.1, we get exactly .98.
The shape of the garden is composite figure of a rectangle and a semicircle. The area of that shape will be
Area = AB x CD + π x AD² / 4
Once the area is calculated, the number of boxes of fertilizer is determined
Area / 12 m = Number of boxes
After getting the number of boxes, the total cost can be determined
<span>£4.99 x Number of boxes</span>
<span>Dot plots, bar graphs, and histograms are visual representations of data. They present data in a way that makes it easier to analyze and compare data. They allow understanding data with ease by visually showing relations, trends and other useful data</span>
Answer:
15,100
Step-by-step explanation:
because 5,200+2,500+8,000+1,800=17,500 which is how much she owes and what she has is 2,400 so 17,500- 2,400= 15,100 so her net worth is 15,100
