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2 years ago

Write the ratio in simplest form: 36 to 78

Mathematics

2 answers:

Marysya12 [62]2 years ago

8 0

Answer:

18 : 39

Step-by-step explanation:

36 to 78

Divide both sides by 2.

=> 18 : 39

bagirrra123 [75]2 years ago

7 0

Solution:

Given ratio: 36 to 78

Convert the ratio into fraction form.

36 to 78 ⇒ 36/78

Simplify the fraction.

36/78 ⇒ 18/39 ⇒ 6/13

Convert the fraction into ratio from.

6/13 ⇒ 6 to 13 ⇒ 6:13

The ratio in simplest form is 6:13.

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A rectangular parking lot must have a perimeter of 440 feet and an area of at least 8000 square feet. Describe the possible leng

tangare [24]

Answer:

The possible parking lengths are 45.96 feet and 174.031 feet

Step-by-step explanation:

Let x be the length of rectangular plot and y be the breadth of rectangular plot

A rectangular parking lot must have a perimeter of 440 feet

Perimeter of rectangular plot =2(l+b)=2(x+y)=440

2(x+y)=440

x+y=220

y=220-x

We are also given that an area of at least 8000 square feet.

So, $xy \leq 8000$

So, $x(220-x) \leq 8000$

$220x-x^2 \leq 8000$

So, $220x-x^2 = 8000\\-x^2+220x-8000=0$

General quadratic equation : $ax^2+bx+c=0$

Formula : $x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

$x=\frac{-220 \pm \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=\frac{-220 + \sqrt{220^2-4(-1)(-8000)}}{2(-1)} , \frac{-220 - \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=45.96,174.031$