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

Answer:

18

Step-by-step explanation:

90 degree angle so

90-54=36

36 / 2 = 18

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)

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

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.

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]

Learn more about area of rectangle here

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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

The maturity value on the bond is equal to $493.93

Data;

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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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

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!

Step-by-step explanation:

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

Answer:

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

Step-by-step explanation:

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!!!

Answer:

Statistics

Step-by-step explanation:

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

Answer:

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.

Answer:

-5

Step-by-step explanation:

Answer:

−5a+6

Step-by-step explanation:

hope this is right

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.

Please give Brainliest!

Answer:

60

Step-by-step explanation:

Get that A.

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

Answer:

A.9

Step-by-step explanation:

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

Answer:

25/36

Step-by-step explanation:

Answer:

The answer is in the picture :)

Step-by-step explanation:

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

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]

Answer:

18

Step-by-step explanation:

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;

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.

[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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Answer:

4i and -4i

Step-by-step explanation:

4.5x^2 = -72

x^2 = -16

x=-4i, 4i

Answer:

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:

Answer:

$166.71

Step-by-step explanation:

210.19 - 43.48 = 166.71