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.
Answer:
the answer is 9730.06
Step-by-step explanation:
india is a blooody country
Answer:
0.7 seconds
Step-by-step explanation:
You have to subtract both lap times, but before doing so you need to know what 2/5 is in decimal form. To do so, you must do 2 divided by 5, getting 0.4 seconds as it's a fraction converting to decimal. This means Fam swam 29.4 seconds, which instead of 2/5, you have 0.4 as your converted answer, so you would substitute it after 29. Then, you would do 29.40 subtracted by 28.7 and get 0.7 seconds as your answer to find out the difference of their swim times.
Answer:
It is not a factor
Step-by-step explanation:
It is because p(x)=-12 at x=3
The number three (3) when decreased by fifteen (15) is four (4) times its opposite.
In this exercise, you're required to solve for an unknown number by using a variable to represent the number in relation to the known variables (constants) and representing it as an algebraic expression.
Translating the word problem into an algebraic expression, we have;
Rearranging the algebraic expression by (collecting like terms), we have;
Dividing both sides by 5, we have;
<em>x = 3</em>
<em>Therefore, number </em><em>three</em><em> </em><em>(3) </em><em>when </em><em>decreased</em><em> by </em><em>fifteen (15)</em><em> is </em><em>four (4) </em><em>times its </em><em>opposite.</em>
<em>Find more information: brainly.com/question/15605874</em>
