Mathematics High School

A city has a vacant lot in the shape of an isosceles trapezoid and the city workers are installing a fence around the lot. What length of fencing is required? Round the answer to the nearest meter. А 25 m B x 25 m 45° The length of fencing required is meters.​

A City Has A Vacant Lot In The Shape Of An Isosceles Trapezoid And The City Workers Are Installing A

Answers

Answer 1

Answer:

Length of the fence required = 135 m

Step-by-step explanation:

Total length of the fence required to cover the vacant lot = Perimeter of the isosceles trapezoid

Perimeter of ABCD = AB + BC + CD + AD

Since, AB = BC = EF = ED = 25 m

From the given right triangle BEC,

m∠EBC = m∠ECB = 45°

ΔBEC will be an isosceles triangle.

So, BE = EC

By Pythagoras theorem,

BC² = BE² + EC²

25² = 2(EC)²

EC = [tex]\frac{25}{\sqrt{2}} =17.7[/tex] m

And DC = (DF + EF + EC)

             = EC + EF + EC [Since, DF = EC]

             = 2EC + EF

             = 35.4 + 25

             = 60.4 m                            

Hence. perimeter of ABCD = 25 + 25 + 60.4 + 25

                                              = 135.4 m

                                              ≈ 135 m

Therefore, length of the fence required = 132 m

A City Has A Vacant Lot In The Shape Of An Isosceles Trapezoid And The City Workers Are Installing A

Related Questions

Please help meeeeee!!!!​

Answers

Answer:

x = 30

Step-by-step explanation:

As we know, the angles inside of a triangle added together all equal 180°, so you would combine 3x + 2x + x = 180°. And then from there you can solve.

3x + 2x + x = 180°

[Combine like terms] 6x = 180°

[Divide 6 from both sides of the equal sign] x = 30°

Hope this helps!!

A jar has twenty-three coins consisting of dimes and nickels. The total amount of money is $1.90. How many dimes and nickels are there?

Answers

Answer:

8 nickels=.40

15 dimes=1.50

The number of dimes is 15 and the number of nickels is 8.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A container has 23 coins comprising dimes and nickels. The aggregate sum of cash is $1.90.

Let d be the number of dimes and n be the number of nickels. Then the equation is given as,

d + n = 23                           ...1

0.1d + 0.05n = 1.90            ...2

From equations 1 and 2, then we have

0.1(23 - n) + 0.05n = 1.90

2.3 - 0.1n + 0.05n = 1.9

0.05n = 0.4

n = 8

Then the number of dimes is given as,

d + 8 = 23

d = 23 - 8

d = 15

The number of dimes is 15 and the number of nickels is 8.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Help me out please anyone

Answers

Answer

its sorryyy

Step-by-step explanation:

help me plssssssssssssssssssss

Answers

Answer:

D

Step-by-step explanation:

It says she has a maximum, that means she cannot go pass the amount ($50)

It costs $7 to get in so you have to take that from what she has ($50)

so you need to have the opposite which would be to add on the left to spend

How far will a race car going 120 miles per hour travel in 3 hours

Answers

Answer:

360 miles

Step-by-step explanation:

to find the distance, multiply speed and time

120*3= 360

Can I have brainliest plz

A password is 4 characters long, consisting of 2 letters and 2 numbers. The password must begin and end with a
letter. If numbers can be repeated but letters cannot, how many possibilities are there?
a. 65,000
b. 60,840
c. 58,500
d. 52,650

Answers

Answer:

a.

65,000

Step-by-step explanation:

There are 65000 possibilities of 4 character-password

What is a password?

A password is a security code that is used for verifying identities

The password has 4 characters.

The password must begin and end with a letter.

So the selections are:

First = 26

Last = 25

The other selections are:

Second = 10 digits

Third = 10 digits

So, the number of password is:

Password = 26 * 10 * 10 * 25

Evaluate

Password = 65000

Hence, there are 65000 possibilities of 4 character-password

Read more about arrangements at:

https://brainly.com/question/6032811

Write the equation of the line that passes through the points (-4, 7) and (-6, -4).

Answers

Answer:

y = 11/2x + 29

Step-by-step explanation:

the slope goes up 11 and over 2 and the line crosses the y-axis at 29 so thats the y-intercept

HELP PLEASEEE. Write in slope intercept form
5x - 3y = -9
a. y = 5/3x - 3
b. y = 3/5x + 3
c. y = 5/3x + 9
d. y = 5/3x +3

Answers

Answer:

d

Step-by-step explanation:

i think it D im not tooo sure

Write down the equation of a line whose slope is -7 and crosses the y-axis at 7. Express in slope-intercept form.

Answers

Answer:

y= -7x+7

Step-by-step explanation:

y= mx+b

y= slope x+ y intercept

The equation of the line having the slope -7 and y-intercept  is 7 is: y = -7x + 7

What is the equation of line?

A straight line's equation is a relationship between its x and y coordinates, and it is written as y = mx + c, where m is the line's slope and c is its y-intercept.

We are given that the slope m is -7,

and the line crosses the y-axis at 7.

so the value of c = 7

Therefore, we can substitute these values into the slope-intercept form to get:

y = -7x + 7

So the equation of the line is y = -7x + 7.

To know more about Line check:

https://brainly.com/question/17188072

#SPJ3

Omar buys stuffed animals for $4 each. He sells them for $7 each. Is this a markup of markdown situation? What is the percent profit?

Answers

Answer:

Markup, 42% profit

Step-by-step explanation:

(someone check this)

What's 3 5/6 divided by 3 3/4 in Simplest form

Answers

Answer:

= 1   1/45

Step-by-step explanation:

3 5/6   /   3 3/4

23 /  15

6       4

23 x 4   =  92

6     15  =   90

=  46

   45

= 1   1/45

PLZZ HELPP IM FAILLING THIS CLASS

Answers

Answer:

cups

0.14 and 0.098

plates

0.1375 and 0.144

silverware

0.047 and 0.129

Total:

30.25

Step-by-step explanation:

5.60/40 and 4.90/50

40 count and 50 count

cups

0.14 and 0.098

2.75/20 and 3.60/25

plates

0.1375 and 0.144

9.85/210 and 12.90/100

silverware

0.047 and 0.129

Total:

(5.60+4.90)*(0.85)+(2.75+3.60)*(0.85)+(9.85+12.90)*(0.70)

=30.2475

round

30.25

Answer:

The answer to your question is 30.25

Step-by-step explanation:

Hope I helped! Sorry if not. Have a wonderful day and an even better Christmas break! Happy Holidays! Remember to focus on the positive and follow me please! Thanks, Bye! ;D

Given the table, what is the linear equation?



x y

1 7

2 10

3 13

4 16

Answers

Answer:

yes

Step-by-step explanation:

X + 3y

I think this is true. I haven’t done this in a few years.

Find the slope between the points: (3,4) and (-1,-2)

Answers

Answer:

3/2 hope this helps hqhahjajja

50 points.


Record the simplified expression

Answers

Answer:

-4x+5

Step-by-step explanation:

-(4x-2) change sign of each in parenthesis so they are now -4+2

now you have -4x+2+3 add like terms

now you have -4x+5

Distribute

[tex]\sf \longmapsto−4x+2+3[/tex]

Combine like terms

[tex]\sf \longmapsto−4x+2+3[/tex]

[tex]\sf \longmapsto(−4x)+(2+3)[/tex]

[tex]\sf \longmapsto−4x+5[/tex]

can yall do the work of the answer 95 to this

Answers

9514 1404 393

Answer:

  ? = 95°

Step-by-step explanation:

Long arc QR is twice the measure of inscribed angle QSR, so is 2×95° = 190°. That, together with the remaining short arcs ? and RS will make up the total circle of 360°.

  arc QR + arc RS + ? = 360°

  190° +75° +? = 360°

  ? = 360° -265° . . . . . . subtract 265° from both sides

  ? = 95°

A cookie recipe uses
cup of sugar for 2 dozen cookies. How many cookies can be made with 1 cup of sugar?
O A. 36
OB. 12
O C. 48
D. 24
PLSSS HURRY

Answers

D 21 a dozen is twelve so 2 dozens to a cup would be 21

help please I will give brainiest​

Answers

It should be D

If not I’m sorry

Please help! I am so bad at math!

Answers

Answer:

PR=12

Step-by-step explanation:

2x+6=3x-6

6=x-6

12=x

The list below shows the different choices of pizka at the local pizza shop:
- pepperoni: 4
- supreme: 7
- cheese: 6
- Hawaiian: 3
Based on these results, what is the theoretical probability of choosing a Hawaiian pizza?

Answers

hmmm i’m gonna say you’re mostly likely not gonna like that pizza because it is the least picked pizza.

Answer:

   

Step-by-step explanation:

   

Which expression is equivalent to 2x^2 - 2x + 7?

Answers

Answer:

(o,7) vertical intercept

minimum (1/2 , 13/2)

Explain how you know when 2 ratios are proportional.​

Answers

Answer:

Ratios are proportional when they represent the same relationship.

Step-by-step explanation:

Such as: finding equivalent fractions

Answer:

Ratios are proportional if they represent the same relationship.

Step-by-step explanation

One good way to tell is to make them fractions and then reduce them. If the reduced fractions are the same, you ratio is proportional! Good luck !

Core Algebra
Englis
Solving for an Unknown Using the Distributive Property
180(n-2)
The equation a = represents the angle measuresya, in a regular n-sided polygon. When the equation is
solved for n, n is equal to a fraction with a denominator of a - 180. What is the numerator of the fraction?

Answers

Answer:

-360

Step-by-step explanation:

I got it right

Explain how mental math can be used to estimate a 15% tip on a taxi ride that costs $23.25. Find the tip using that method.

Answers

Answer:

tip would be $3.50

Step-by-step explanation:

10% + 5% = 15%

10% of 23.25 is 2.33

5% of 2.33 is 1.17

add 2.33 and 1.17 to get 3.50

Answer:

I would do the question like

10% + 5% = 15% which would equal 3.50

Hope this helped (please mark brainliest)

Thomas was selling tickets to his school play. The tickets cost $5.00 for adults and $2.00 for children. He sold 200 tickets
and collected $610. Which system represents the number of adult and child tickets that Thomas sold?
O x+y=200
5x+2y= 610
o
X+y=610
5x+2y= 200
O x=
X+ y = 200
x+2y=610
O x+y= 200
5x+y=610

Answers

Answer:

I believe the answer is A

Step-by-step explanation:

on edge

The required system of equations represents the number of adult and child tickets that Thomas sold is x + y = 210 and 5x + 2y = 610. Option A is correct.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Let the number of adult tickets is x and the number of children's tickets be y,
According to the quesiton,
The tickets cost $5.00 for adults and $2.00 for children. He sold 200 tickets and collected $610.

So equaiton models as,
x + y = 210
5x + 2y = 610

Thus, the required system of equations represents the number of adult and child tickets that Thomas sold is x + y = 210 and 5x + 2y = 610. Option A is correct.

Learn more about simultaneous equations here:

https://brainly.com/question/16763389

#SPJ6

A hairdresser receives a discount on each comb purchased. The original price of each comb is x dollars. The hairdresser purchases 15 combs for a total of (15x-45) dollars. By how much is each comb discounted?

Answers

Answer:

$3

Step-by-step explanation:

Given that:

Price of each comb = $[tex]x[/tex]

15 combs were purchased in = $[tex](15x-45)[/tex]

To find:

Amount of discount offered on each comb.

Solution:

First of all, let us calculate the price of 15 combs at the price of $[tex]x[/tex] each.

Original Price of 15 combs = Price of one comb [tex]\times[/tex] Number of combs = $15[tex]x[/tex]

Now, there is some discount provided on the purchase of 15 combs.

Discount offered on 15 combs = Original price of 15 combs - Discounted price of 15 combs = [tex]15x- (15x-45)[/tex] = $45

Discount offered on each comb = Discount on 15 combs divided by 15

Discount offered on each comb = [tex]\frac{45}{15}[/tex] = $3

Ratios. Fill in the blank using the Word Bank. A recipe for one batch of cookies calls for 5 cups of flour and 2 teaspoons of vanilla. How many batches can you make with 15 cups of flour and 6 teaspoons of vanilla?

Answers

Answer:

3 batches of cookies

Step-by-step explanation:

Bank. A recipe for one batch of cookies calls for 5 cups of flour and 2 teaspoons of vanilla.

How many batches can you make with 15 cups of flour and 6 teaspoons of vanilla?

We can calculate the batches using either cups of flour or number of teaspoons.

For flour

5 cups of flour = 1 batch of cookies

15 cups of flour = x

Cross Multiply

5x = 15 × 1

x = 15/5

x = 3 batches of cookies

For teaspoons of vanilla

2 teaspoons of vanilla = 1 batch of cookies

6 teaspoons of vanilla = x

Cross Multiply

2x = 6 × 1

x = 6/2

x = 3 batches of cookies.

Hence: you can make 3 batches of cookies with 15 cups of flour and 6 teaspoons of vanilla

The table shows the distance Shannon ran over a week.
Day
Tuesday
Length {km)
5
2
6
Wednesday
1911 DO NOT
Friday
Saturday
How many more kilometers did Shannon run on Friday than on Saturday?
kilometer

PLEASE HELP

Answers

Answer:

Shannon run 1.5 km more on Friday than on Saturday.

Step-by-step explanation:

From the given table

Distance run on Friday = 4/2 = 2 kmDistance run on Saturday = 1/2 = 0.5 km

In order to run how many more kilometers Shannon run on Friday than on Saturday, we need to subtract the distance run on Saturday from the distance run on Friday.

i.e.

Friday run - Saturday run =  2 - 0.5

                                          = 1.5 km

Thus, Shannon run 1.5 km more on Friday than on Saturday.

Choose yes or no to tell if the number 10 to the third power will make each equation true

Answers

Do you have a picture of a graph or can you take a picture of your screen so I can help you

Answer:

I need to see the equation to solve it.

Step-by-step explanation:

What is the value of s ?
Please help
No guessing

Answers

Answer:

s = 17

Step-by-step explanation:

use Pythagorean theorem a² + b² = c²

where a = 8

           b = 15

           c = s (which is unknown)

plugin values into the formula:

a² + b² = c²

8² + 15² = s²

s = √(64 + 225)

s = √289

s = 17

Other Questions
#4 Where is 44 on the number line?A) At 22.C) Between 6 and 7, but closer to 6.B) Between 6 and 7, but closer to 7D) Between 7 and 8, but closer to 7. LOGARITHMIC functions have 2 asymptotesTrueFalse what types of problems if no antivirus is not installed The East Company manufactures several different products. Unit costs associated with Product ORD105 are as follows: Direct materials $92 Direct manufacturing labor 32 Variable manufacturing overhead 12 Fixed manufacturing overhead 32 Sales commissions (2% of sales) 26 Administrative salaries 6 Total $200 What is the percentage of the total variable costs per unit associated with Product ORD105 with respect to total cost What is an equation of the line that passes through the point (-1,-7) and is perpendicular to the line x+y=6x What does neoclassical economics claim to be doing and why? ****ECONOMICS****Which situation is an example of a person making use of credit?A. A mechanic borrows money from a bank to buy a new set ofexpensive tools.B. A farmer changes the type of crops she grows to make a greaterprofit.C. An architect puts his weekly paychecks into a savings account ata local bank.D. A college student saves money in order to buy a cheap used car. Which statement(s) most directly apply to capitalism?1. There is heavy government regulation of industry.II. Individuals can start some, but not all, kinds of enterprises.III. The price and availability of goods is determined primarily by the market.a. I and IIb. ll onlyc. I and IIId. Ill only what do you mean by basic need PLS HELP ASAP I WILL GIVE THANKS BUT JUST PLS HELP NOW!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!EarthWhat is the orbit of the Earth?Is the Sun at the center of the Earths orbit?Describe the motion of the Earth throughout its orbit? Does it move at a constant speed? Please Help These Are All My Points. 8Which of the following statements is FALSE about the diagrams above?Diagram B is a mixture of compounds.Diagram C is a pure substance of a diatomic element.Diagram D is a mixture of elements and compounds.Diagrams A&C represent a pure substance of elements.14 15 scale is not as important as style when decorating a roomA. TrueB. False 39.4 x 1.7 I dont how workout this out which of the following equations represents the graph?A. y = 3/4x - 3B. y = 3/4x + 4C. y = 4/3x - 3D. y = 4/3x + 4 Impeachment process the Senate's role 5. Examine line 16. Identify the sound device used and explain how it affects the ending of the stanza. which equation represents the line that passes through points (5, 4) and (-5, 0) in triangle ABC, angle A is 25 degree, and Angle B is 105 degrees. what is the measure of angle c The Crucible: Act IVHow have the townspeople been affected by the last several month of court proceedings?