Solve. x-3=-7 I don't understand what I'm supposed to put here

A rectangular parking lot has an area of 15,000 feet squared, the length is 20 feet more than the width. Find the dimensions

faust18 [17]

Dimension of rectangular parking lot is width = 112.882 feet and length = 132.882 feet

<h3>Solution:</h3>

Given that

Area of rectangular parking lot = 15000 square feet

Length is 20 feet more than the width.

Need to find the dimensions of rectangular parking lot.

Let assume width of the rectangular parking lot in feet be represented by variable "x"

As Length is 20 feet more than the width,

so length of rectangular parking plot = 20 + width of the rectangular parking plot

=> length of rectangular parking plot = 20 + x = x + 20

The area of rectangle is given as:

$\text {Area of rectangle }=length \times width$

Area of rectangular parking lot = length of rectangular parking plot $\times$ width of the rectangular parking

$\begin{array}{l}{=(x+20) \times (x)} \\\\ {\Rightarrow \text { Area of rectangular parking lot }=x^{2}+20 x}\end{array}$

But it is given that Area of rectangular parking lot = 15000 square feet

$\begin{array}{l}{=>x^{2}+20 x=15000} \\\\ {=>x^{2}+20 x-15000=0}\end{array}$

Solving the above quadratic equation using quadratic formula

General form of quadratic equation is

${ax^{2}+\mathrm{b} x+\mathrm{c}=0$

And quadratic formula for getting roots of quadratic equation is

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

In our case b = 20, a = 1 and c = -15000

Calculating roots of the equation we get

$\begin{array}{l}{x=\frac{-(20) \pm \sqrt{(20)^{2}-4(1)(-15000)}}{2 \times 1}} \\\\ {x=\frac{-(20) \pm \sqrt{400+60000}}{2 \times 1}} \\\\ {x=\frac{-(20) \pm \sqrt{60400}}{2}} \\\\ {x=\frac{-(20) \pm 245.764}{2 \times 1}}\end{array}$

$\begin{array}{l}{=>x=\frac{-(20)+245.764}{2 \times 1} \text { or } x=\frac{-(20)-245.764}{2 \times 1}} \\\\ {=>x=\frac{225.764}{2} \text { or } x=\frac{-265.764}{2}} \\\\ {=>x=112.882 \text { or } x=-132.882}\end{array}$

As variable x represents width of the rectangular parking lot, it cannot be negative.

=> Width of the rectangular parking lot "x" = 112.882 feet

=> Length of the rectangular parking lot = x + 20 = 112.882 + 20 = 132.882

Hence can conclude that dimension of rectangular parking lot is width = 112.882 feet and length = 132.882 feet.

3 0

2 years ago

A simple random sample of size n=250 individuals who are currently employed is asked if they work at home at least once per week

Travka [436]

Answer:

solution is given below

Step-by-step explanation:

A simple random sample size n = 250 . Of the 250 employed individuals surveyed,42 responded that they did work at home at least once per week.

Construct 99% confidence interval for population

For proportion : 42 / 250 = 1/10 = 0.16

Mean = 2.5 * sqrt [ 0.1 * 0.9 / 250]

= 2.5 * 0.01

= 0.47

Construction of hypothesis:

0.10 - 0.047 < p < 0.10 + 0.047

4 0

3 years ago

The histogram displays different numbers of days that customers rented a car. Which interval represents the most common number o

sleet_krkn [62]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the histogram is not attached.

However, the solution to your question is to select the interval with the highest frequency

Take for instance, after getting readings from the histogram, yiu have:

1 - 10: 8

11 - 20: 5

21 - 30: 11

31 - 40: 2

And so on.......

Interval 11 - 20 will represent the required interval because it has the highest frequency.

3 0

2 years ago

Classify the numbers by writing them in the appropriate section of the Venn Diagram 1) L. 136, 8, 7, V140, V4,8, V8 , 2.89 Real

saveliy_v [14]

EXPLANATION:

Classification of numbers according to the Venn diagram:

Rational numbers:

These numbers are represented by a fraction a / b, where a and b are integers and also b is different from zero.

Whole numbers:

An integer is a natural number that can be positive or negative.

Natural numbers:

Natural numbers are those that start at zero to infinity are clearly positive.

Rational numbers:

When taking the square root of 8, 36 and 4 the result is an exact value that is why they are considered as rational numbers.

Irrational Numbers:

When the root of a number is not exact but is expressed as an infinite decimal as in the case of the square root of 140 which is 11.83215956619; this is an irrational number, also this result cannot be expressed as a fraction.

4 0

11 months ago

How to turn Standard Form (-2x + 3y = -12) to Point-slope Form?

IgorC [24]

It would be a slope of -2.

5 0

2 years ago