Richard wants to install a paver patio in the shape shown. The dotted line represents a line of symmetry. How many square yards of pavers does Richard need to cover the entire patio?


1. 400

2. 290

3. 190

4. 180

Richard Wants To Install A Paver Patio In The Shape Shown. The Dotted Line Represents A Line Of Symmetry.

Answers

Answer 1

Answer:

number 2: 290

Step-by-step explanation:

triangle: 11 x 20 = 220 ÷ 2 = 110

rectangle: 9 x 20 = 180

180 + 110 = 290

Answer 2

Richard will need 290 square yards of pavers to cover the entire patio.

∴ Option 2. 290 is the right option.

What is a trapezoid? How do we calculate its area?

A trapezoid is a quadrilateral with a necessary pair of parallel lines.

The area of a trapezoid is calculated using the formula,

Area = (1/2)*(sum of parallel sides)*(perpendicular distance between the parallel sides)

What is a line of symmetry?

A line of symmetry is the line that divides a figure into equal parts.

How do we solve the given question?

The given patio is a quadrilateral. We are shown a line of symmetry. Seeing a single part among the two parts of the figure, we can see that it is a trapezoid with a pair of parallel lines, the shorter one 9ft, and the longer one 20ft. The perpendicular distance between them is 10ft (half of the base of the shown patio).

We calculate the area of this part,

= (1/2)*(9+20)*(10) = 0.5*29*10 = 145 square yards.

The area of the whole patio is twice of this part as both the parts are equal.

∴ Area of the patio = 2*145 = 290 square yards.

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Related Questions

major has 25 free minutes left until he needs to head to tennis practice he already spent four of the minute playing a video game what is the maximum number of minutes he can spend doing homework be for he needs to leave for practice

one step inequality word problems ​

Answers

Answer:

ok so he has 25 minutes in total and then we need to subtract the time hes alredy used so

25-4=21

so he has 21 minutes to do homework

Hope This Helps!!!

What is the slope of the line shown?

Answers

Step-by-step explanation:

I think y axis and x axis shows the light colour not sure about it

Slope: m=-1/4

Line going down = negative
Graph goes down one unit and over 4 units before next point

A figure is dilated by a
factor of 5. By what factor
will the area of the figure
change?

Answers

Answer:

25/36

Step-by-step explanation:

10 Solve the quadratic equation algebraically. Give solution(s) in exact values. 4.5x2 + 72 = 0​

Answers

Answer:

4i and -4i

Step-by-step explanation:

4.5x^2 = -72

x^2 = -16

x=-4i, 4i

1. What kind of correlation is shown? (see #1 above)
O positive
negative
no correlation
O constant correlation

Answers

I this it would be constant correlation

What is the regular price for a bicycle is $210.19. The sale price is $43.48 less than the regular price. What is the sale price and show how do you know.

Answers

Answer:

$166.71

Step-by-step explanation:

210.19 - 43.48 = 166.71

Find the original price of a pair of shoes if the sale price is $60 after a 60% discount.
What is the original price?

Answers

Answer:

The original price was $100

Step-by-step explanation:

[tex]\frac{60 dollars}{x} = \frac{60 percent}{100 percent} \\x = \frac{100percent*60dollars}{60 percent}\\ x = 100 dollars[/tex]

The sale price is $60 after a 60% discount ( that mean 100% - 60% = 40% )
⇒ The original price is: $60 ÷ 40% × 100% = $150

Answer: $150
Ok done. Thank to me :>

The area of math dealing with the collection, display, and analysis of data is called__.

Answers

Answer:

Statistics

Step-by-step explanation:

a branch of mathematics dealing with the collection, analysis, interpretation, and presentation of masses of numerical data

A system of equations is created by using the line represented by 2x+4y= 0 and the line represented by the data in
the table below.
X
-1
3
у
8
-4
5
-10
-13
6
What is the x-value of the solution to the system?
Submit

Answers

Answer is 2
I will add ajotehtävät picture


im having trouble with this one

Answers

Answer:

18

Step-by-step explanation:

90 degree angle so

90-54=36

36 / 2 = 18

Since your angle is part of a right angle, than the two angles have to add up to ninety degrees

PLEASE HELP ME AND PLEASE DON'T PUT A COMMENT THAT DOESNT RELATE TO MY QUESTION BECAUSE IM RUNNING OUT OF POINT PEOPLE. THANK U SO MUCH I VERY MUCH APPRECIATE IT.

Answers

Answer:

Step-by-step explanation:

part a is -6

part b is -7.5

Answer:

Step-by-step explanation:


Part A:

warmer than => -

=> 7-13=-6


Part B:

Hours between 11 pm and 5 pm = 6.

6*(-1,25)=-7,5

a) When x = 6, what is the value of 4x?
10
A
12
B
24
С
46
D
None of these
E
m의
b) When x = 6, what is the value of 5x + x?
36
A
56
B.
62
С
566
D
None of these
E
c) When x = 6, what is the value of x??
3
A
6
B
12
С
36
D
None of these
E

Answers

Answer:

a-24, b-36, c-36

Step-by-step explanation:

a) 4(6)=24

b) 5(6)+6=36

c) (6)^2=36

Answer:

a) c -24

b) a - 36

c) d - 36

Step-by-step explanation:

a) When x = 6, what is the value of 4x?

4x

4(6) = 24

b) When x = 6, what is the value of 5x + x

5x + x

5(6) + 6

30 + 6

36

c) When x = 6, what is the value of x^2?

x^2

6^2

36

Hope this helps!

What is the slope of the line graphed below?

Answers

Answer:

B. 1/5

Step-by-step explanation:

Start at point (1,-2)

Then, go right 1 and up 5 to reach point (2,3)

The answer is 5
Remember slope is rise/run which is 5/1

Please help me And please dont say anything that does not relate to what I posted because people keep doing that to me and its annoying. THANK YOU!!

Answers

Answer:

The answer is in the picture :)

Step-by-step explanation:

Find the maturity value of a $473 note issued on October 4 at 8.5% for 190 days.

Answers

The maturity value on the bond is equal to $493.93

Data;

Face value = $473time = 190 daysrate = 8.5%

Maturity Value

This is calculated as the sum of face value and interest.

[tex]M.V = F.V + I[/tex]

Let's solve for the interest on the bond

[tex]I = PRT\\I = 473 * 0.085 * 190/365\\I = 20.93[/tex]

Let's add this up and solve

[tex]M.V = 473 + 20.93\\M.V = 493.93[/tex]

The maturity value on the bond is equal to $493.93

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PLEASE HELP MEEEEEEEEEE

Answers

Answer:

Step-by-step explanation:

1 pound of potato salad costs 2.96

0.75 pounds of potato salad costs x

1/0.75 = 2.96/x            Cross multiply

x = 0.75 * 2.96

x = 2.22  

0.75 pounds of potato salad costs 2.22 dollars.

a tower that is 125 feet tall casts a shadow that is 172 feet long. find the angle of elevation of the sun

Answers

Answer:

36°

Step-by-step explanation:

Let the height of the tower is a and the shadow is b.

When connected, these segments form a right triangle.

We are looking for the angle x opposite to side a.

Use trigonometry to find it:

tan x = a/btan x = 125/172tan x = 0.7267x = arctan 0.7267x = 36°

I need the answer ASAP

Answers

scale factor = 1.25

30 : 24 = 1.25

or

35 : 28 = 1.25

The scale factor of this parallelogram is 5/4

In this question, we need to find the scale factor;

What is Scale Factor?

This is a factor to which a certain unit is multiplied or divided by. In this question, we have to find the scale factor first in order to know the missing side of the parallelogram.

Scale Factor

[tex]\frac{30}{24} = \frac{5}{4}[/tex]

We have check for one side, let us find the other side and compare

[tex]\frac{35}{28}=\frac{5}{4}[/tex]

The scale factor of this parallelogram is 5/4

Learn more about scale factor here;

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two friends share this block of chesse equally what fraction dose each child get

Answers

Answer:

1/2  in fraction each kid will get 0.50 in decimal and 50% in percent

Step-by-step explanation:

Tomas painted 5/8 of each tile with blue paint.

He painted 62 tiles. What is the total amount of

times that he painted blue?

Answers

Answer:

38.75

Step-by-step explanation:

62*5/8=38.75

Answer:

38 3/4

Step-by-step explanation:

5/8 of 62 = 5/8 x 62

               = (5 x 62) ÷ 8

               = 310 ÷ 8

               = 38 3/4

2+134 add both numbers and type it in the box when u get the answer

Answers

The answer is :
136

Explanation:
134
+ 2
= 136

The figure above shows that the shaded triangular region with a hypotenuse of 5 cm has been removed from a rectangular tile with dimensions x cm by y cm. Of the following which best approximates the area in square cm of the tile before the piece was removed

Answers

Check the picture below.

Mind you that we have four 30-60-90 triangles.

The area of given rectangle before the piece was removed is 65 cm² approximately.

What is area of rectangle?

The area of a rectangle (A) is the product of its length 'a' and width or breadth 'b'. So, Area of Rectangle = (a × b) square units.

In Δ DEF,

∠EDF + ∠DEF + ∠DFE = 180° (angle sum property)

30° + 90° + ∠DFE = 180°

∠DFE = 60°

[tex]cos F = \frac{EF}{FD}(\frac{base}{hypotenuse}\\ \\ cos(60) = \frac{5}{FD}\\ \\FD = 5 * 2= 10[/tex]

[tex]cos D = \frac{ED}{FD}(\frac{base}{hypotenuse}\\ \\ cos(30) = \frac{ED}{10}\\ \\ED = \frac{\sqrt{3} }{2} * 10= 5\sqrt{3}[/tex]

In Δ AED,

∠AED + ∠EAD + ∠EDA = 180° ( angle sum property)

∠AED + 90° + 30°= 180°

∠AED = 60°

[tex]sinE = \frac{AD}{DE} (\frac{perpendicular}{hypotenuse}\\ \\sin(60) = \frac{AD}{5\sqrt{3} } \\\\AD= \frac{\sqrt{3} }{2}*5\sqrt{3} \\\\AD = 7.5[/tex]

In Δ DFC,

∠FDC + ∠DCF + ∠DFC = 180° (angle sum property)

30° + 90° + ∠DFC = 180°

∠DFC = 60°

[tex]sinF = \frac{DC}{DF} \\\\sin(60) = \frac{DC}{10}\\ \\\frac{\sqrt{3} }{2} *10 = DC\\\\DC = 5\sqrt{3}[/tex]

Area of rectangle = length * breadth = xy = AD * DC = [tex]7.5 * 5\sqrt{3} = 64.95[/tex]

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Your Assignment
Is x = 6 a solution to the equation 5(x - 3) = x + 13?

Simplify both sides.

Answers

Answer: It is not the solution, the solution for side one is 15, and the solution for side 2 is 18.

plssss ill give anything. 2 x 3[7 + (6/2)]=

Answers

Please give Brainliest!

Answer:

60

Step-by-step explanation:

Get that A.

3 4 5 6 7 8 9 10
TIME REMAINING
55:15
Suppose the temperature increases 8º to -7ºF. What was the starting temperature?
a.
15º
c.
-13º
b.
-20º
d.
-15º


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

If it INCREASES then it is going closer towards zero since it is negative. So subtract 8 from (-7) and you get -15

so D is your answer

Find the difference.
(9ab-5a+4) - (9ab-2)

Answers

Answer:

-5

Step-by-step explanation:

Answer:

−5a+6

Step-by-step explanation:

hope this is right

Hello If You Have Please Help Thank You
Solve for x.

−7x−15<6

Answers

Answer:

x > -22/7

Step-by-step explanation:

Given inequality:

- 7x - 15 < 6

adding 15 to both sides:

==> -7x - 15 + 15 < 6 + 16

==> -7x < 22

dividing both sides by 7:

==> -x < 22/ 7

multiplying both sides by -1

(anytime you multiply the inequality by -1 you must flip the inequality sign– replace the "<" with ">")

==> x > -22/7

What is the opposite of the opposite of 945?

Answers

Answer:

945.

Step-by-step explanation:

The opposite of 945 is -945.

the opposite of -945 is 945.

The opposite of the opposite of 945 is 945.

Please help me and please dont say something thats not related to my post. Also please explain your answer so I can understand it.

Answers

Answer:

A.9

Step-by-step explanation:

it asks how many the shelf can hold which would mean you should divide :

Each marble bag sold by Carmen's Marble Company contains 3 red marbles for every 2 purple marbles. If a bag has 12 purple marbles, how many red marbles does it contain?​

Answers

Answer:

18

Step-by-step explanation:

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