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Answer:

A: 243.2 B: 1740 C: 42.8

Step-by-step explanation:

The  perimeter of the plot of land is 180 + 20√10. THe are aof the plot of land that doesn't include the warehouse and the parking area is 85400 sq. units. The total length of fence needed is 20 + √520 units

The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

For this case, the renamed image is given below.

The slope of AB is: [tex]m_{AB} = \dfrac{50-50}{39-4} = 0[/tex]

The slope of CD is: [tex]m_{CD} = \dfrac{20-20}{39-4} = 0[/tex]

That shows AB and CD are parallel. Similarly, we can show that AC and BD are parallel. Also, we can show that AB and AC are perpendicular.

Thus, ABCD is a rectangle.

|AB| = length of AB = [tex]\sqrt{(39-4)^2 + (50-50)^2} = 35 \: \rm units[/tex]

|AC| = length of AC = [tex]\sqrt{(4-4)^2 + (50-20)^2} = 30 \: \rm units[/tex]

Thus, |AB| and |CD| are of same length because ABCD is a rectangle, and so as |AC| and |BD|.

The area of ABCD = multiplication of length of its two adjacent sides= [tex]35 \times 30 = 1350 \: \rm unit^2[/tex]Area of Warehouse

Similarly, we can show that the sides EI and CD are parallel, thus making CEID a trapezoid. Also, CE is perpendicular to CD and EI, thus, its length can serve as height of the trapezoid CEID.

The length of CD = length of AB = |AB| = 35 units.

The length of EI = [tex]\sqrt{(50-4)^2 + (0-0)^2} = 46 \: \rm units[/tex]

The length of CE = [tex]\sqrt{(4-4)^2 + (20-0)^2} = 20 \: \rm units[/tex]

Thus, area of CEID = [tex]\dfrac{1}{2}(\text{Sum of parallel sides})\times \text{height}[/tex] = [tex]\dfrac{35 \times 46 \times20}{2} = 16100\: \rm unit^2[/tex] = Area of Parking Area

Similarly, IFGH is a trapezoid, and its height can be taken as the length of GF as GF is perpendicular to its parallel sides.

The length of GF = [tex]\sqrt{(0-0)^2 + (0-60)^2} = 60 \: \rm units[/tex]

The length of IF = [tex]\sqrt{(50-0)^2 + (0-0)^2} = 50 \: \rm units[/tex]

The length of GH = [tex]\sqrt{(0-70)^2 + (60-60)^2} = 70 \: \rm units[/tex]

Thus, area of IFGH = [tex]\dfrac{1}{2}(\text{Sum of parallel sides})\times \text{height}[/tex] = [tex]\dfrac{50 \times 70 \times 60}{2} = 105000\: \rm unit^2[/tex] = Area of Plot

Length of HI = [tex]\sqrt{(70-50)^2 + (60-0)^2} = 20\sqrt{10} \: \rm units[/tex]
Thus, perimeter of plot = |GF| + |IF| + |GH| + |HI| = 180 + 20√10 units

Area of the plot of land that does not include the warehouse and the parking area = 105000 - 16100 - 3500 = 85400 sq. units

The fencing is done on the legs of the trapezoid CEID which are CE and DI

Length of CE = 20 units,

Length of DI = [tex]\sqrt{(39-50)^2 + (20-0)^2} = \sqrt{521} \: \rm units[/tex]

Thus, the length of the fencing is [tex]20 + \sqrt{521}[/tex] units.

Thus, the  perimeter of the plot of land is 180 + 20√10. THe are aof the plot of land that doesn't include the warehouse and the parking area is 85400 sq. units. The total length of fence needed is 20 + √520 units

Learn more about distance between two points here:

https://brainly.com/question/16410393

Answer:B

Step-by-step explanation:

4 miles = 30 minutes

8 miles = 1 hour

24 miles = 3 hours

Answer:

ugxitskydkydmyydktdlydoyzlyzittxltzljxkg

Answer:

83.33%

Step-by-step explanation:

300 - 50 = 250

250/300 = .8333 or 83.33%

Answer:

83.33%Step-by-step explanation:300 - 50 = 250250/300 = .8333 or 83.33%Step-by-step explanation:

Answer:

The answer would be 7mph.

Step-by-step explanation:

The rate of change is just miles per hour.

Complete question :

Coach Jill brought 28 L of sports drink to the soccer game. She divided the sports drink equally between 7 coolers.

How many milliliters of sports drink did Coach Jill put in each cooler?

Answer:

4000 milliliters

Step-by-step explanation:

Total Litres of drink purchased = 28 L

Number of coolers in which drink was divided equally = 7

Hence, number of litres per cooler ;

Total litres of drink / number of coolers

28 L / 7

= 4 L. Per cooler

Recall:

1000 milliliters = 1 L

Hence, 4 L = (4 * 1000) = 4000 milliliters

Answer:

y = 7.5

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 20 when x = 8

20 = 8k ( divide both sides by 8 )

2.5 = k

(a)

y = 2.5x ← equation of variation

(b)

When x = 3 , then

y = 2.5 × 3 = 7.5

Answer:

x=-5/6 , 6

Step-by-step explanation:

Answer:

65%

Step-by-step explanation:

39 divided by 60 = 0.65 = 65%

Answer:

Step-by-step explanation:

3/4

Answer:

over the five years Mr. Amari will have gained 30$

Step-by-step explanation:

Answer:

the greatest number and the smallest number be 3 and 7 respectively

Step-by-step explanation:

Let us assume the greater number x and the smaller number be y

Now according to the question, following equation should be made

1 ÷2 (x - y) = 2

x - y = 4 ..................... (i)

And,

x + 2y = 13 ................(ii)

Now solve both the equations

-3y = -9

y = 3

Now x is

x - y = 4

x - 3 = 4

x = 7

Hence, the greatest number and the smallest number be 3 and 7 respectively

Answer:

3.92522 i used a right triangle caluclator

Step-by-step explanation:

Answer:

3.9 broo

Step-by-step explanation:

Bro use the Sin law

a / Sin A = b / sin B = c / sin C

the missing angle is 180 - (90 + 63) which is 27

so you have one side measure =>

-------------------------------------------------------------------

2 / sin 27 is equal to x / sin 63         solve to proportion, sooo

4.40537853 is equal to x/0.891006524

then:  4.40537853 times 0.891006524 is x

x = 3.92522101

so last choice, 3.9

Answer:

112

Step-by-step explanation:

marios heart rate and intensity level is 112

Answer:

Step-by-step explanation:

a) 2,35 x 10^9

b) 2,5 x 10^7

c) 9 x 10^4

Answer:

(2⁶)(2⁶)

Step-by-step explanation:

Hope it help

brainliest please

Answer:

1.  5/6

2. 8 outta 10

3. 60%

4. 0.37

5. 20%

Step-by-step explanation:

hope this helps!

Answer:

1. 20%

2. 0.37

3. 60%

4. 8 out of 10

5. [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Percentages are just dividing by 100 because all percentages must equal up to 100 such, as 50% and 50% (50+50=100) or 60% and 40% (60+40=100)

So divide the percentage ( basically just the number not, the %) by 100. 20(%)÷ 100 = 0.2 (take out the % when you do it). 60 ÷ 100 = 0.6

8 out of 10 is 8 ÷ 10 (0.8) if. it was 10 out of 8. it would look like [tex]\frac{10}{8}[/tex]   which you can divide and get 1.2 because the line above the 8 means divide.

and [tex]\frac{5}{6}[/tex] is what i just explained above ↑ divide 5 and 6, which is .83 (it is .8333333333 to infinity and beyond, but I just said 3 because dont  have that line)

now that you have everything in decimals. Sort them!

0.2 (20%)

0.6(60%)

0.37

0.8 (8 out of 10)

5/6 (0.83)

(↑ not the right answer the one in the answer box is.)

Answer:

a.) 0.51

b.) 1445

Step-by-step explanation:

a.) 5.1 x 10^-1 can be written as 5.1 x 0.1 which equals 0.51.

b.) 1.7 x 10^4 x 8.5 x 10^-2 can be simplified either by condensing 10^4 and 10^-2 to equal 10^2, or substituting the expression into a calculator.

This should equal 1.7 x 8.5 x 10^2 or 1445.

Answer:

Your answer would be 15.

Step-by-step explanation:

Answer:

The first thing you ever do when simplifying an expression is distributing the coefficient. For example the expression 3(5x+6+4x) The first thing we would do is distribute the 3 into each value in the parantheses. It would make sense to add the 4x and 5x, but that goes out of order. This is just the rules when it comes to follwing distributive property in it's simplest form.

Answer:

See the explanation

Step-by-step explanation:

Given data

Gym A charges $60 a month plus $5 per visit

let the number of visits be x, and the total charge be y

Hence the total charge is expressed as

y=5x+60--------------1

Gym B is represented by

y = 7x + 40-----------2

Although I can not find any option, we can conclude that gym A monthly charge is $20  more expensive than gym B

Answer:

a

Step-by-step explanation:

A compound event is an event that has more than one outcome. it is the combination of two simple events

Answer:

28%

Step-by-step explanation:

The result is about 27.5362% so if we round it it will be 28%

Answer:  28%

Step-by-step explanation:

1.15x12=13.8

13.8-10.00=3.8

3.8/13.8=0.27536231884

To convert to percent 0.27536231884 * 100= 27.536231884 rounded 28

Answer:

73554

IM sorry if this is not the correct answer, it is very hard to understand

(っ◔◡◔)っ ♥ Hope It Helps ♥

Answer:

60 cm

Step-by-step explanation:

3*4*5= 60

Answer:

Your awnser is 115!

Step-by-step explanation:

You get 115 calculating the height length and width