Carter needs to remove sod in his yard to build three flower beds. One bed will be a rectangle which measures 2.5 m by 6 m. Another bed will be a semicircle which has a diameter of 6 m. The other bed will be a quarter circle with a radius of 4 m.

Answers

Answer 1

Answer:

[tex]Area = 41.714[/tex][tex]m^2[/tex]

Step-by-step explanation:

Given

Rectangle:

[tex]Length = 2.5m[/tex]

[tex]Width = 6m[/tex]

Semicircle

[tex]Diameter = 6m[/tex]

Quarter circle

[tex]Radius = 4m[/tex]

Required

The square meters of sod will Carter remove [Missing information]

To do this, we simply calculate the area of each flower beds.

For the rectangle:

[tex]A_1= Length * Width[/tex]

[tex]A_1= 2.5m * 6m[/tex]

[tex]A_1= 15m^2[/tex]

For the semicircle

[tex]A_2 = \frac{1}{2}\pi r^2[/tex]

Where

[tex]r=\frac{6}{2} = 3[/tex]

So:

[tex]A_2 = \frac{1}{2} *\frac{22}{7} * 3^2[/tex]

[tex]A_2 = \frac{1}{2} *\frac{22}{7} * 9[/tex]

[tex]A_2 = \frac{1*22*9}{2*7}[/tex]

[tex]A_2 = \frac{198}{14}[/tex]

[tex]A_2 = 14.143[/tex]

For the quarter circle

[tex]A_3 = \frac{1}{4}\pi r^2[/tex]

[tex]A_3 = \frac{1}{4} * \frac{22}{7} * 4^2[/tex]

[tex]A_3 = \frac{22}{7} * 4[/tex]

[tex]A_3 = \frac{88}{7}[/tex]

[tex]A_3 = 12.571[/tex]

Total area is:

[tex]Area = A_1 + A_2 + A_3[/tex]

[tex]Area = 15 + 14.143 + 12.571[/tex]

[tex]Area = 41.714[/tex][tex]m^2[/tex]


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Step-by-step explanation:

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Answers

Answer:

the selling price of the goods is ₹6,00,000

Step-by-step explanation:

The computation of the selling price of the goods are shown below:

As we know that

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Yolanda made $242 for 11 hours of work. At the same rate, how many hours did she have to work to make $198.

Answers

His hourly rate is:

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At the first stop on a subway line, 50 passengers entered the train. The chart shows the number of passengers that entered and
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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Hello There!

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So the line we are going to create an equation for has the same slope as the line drawn  

To find the slope we do change in y divided by change in x

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The requirements for the equation is it has to go through the points (0,1)

The ordered pair listed is the y intercept so the equation would be

y = 5x + 1

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Answers

Answer:

C. 12

Step-by-step explanation:

4×12 = 48 and 4 + 12 = 16

12 is the bigger number of the two.

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Step-by-step explanation:

She is in the hole 8.10 and she makes 6.50

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20n^2+3n=12n^2+4
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Answers

Answer:

a)  a=8,  b=3,  c=-4

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Step-by-step explanation:

a) 8n² + 3n - 4

b) (-3±[tex]\sqrt{9+128}[/tex]) ÷ 16

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Answer:

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Step-by-step explanation:

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Answer:

1.)Geometric

2.)Arithmetic

3.)Arithmetic

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:119

Step-by-step explanation:

edge 2021

B = 119 degrees

A straight line is 180 degrees
The 112 degree angle and angle C make up a straight line, so 112+C = 180
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Answers

Answer:

AED 210

Step-by-step explanation:

If the cost of 7 toys is AED 294, this is written as;

7 toys = AED 294

To get the cost of 5 toys, this is written as;

5 toys = x

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7/5 = 294/x

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7x = 5 * 294

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Answer:

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Answers

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Sam and Ella were running in a race. Sam ran ⅞ of a mile and Ella ran 5/10 of a mile. At the end of the race they wanted to compare how far they ran. Ella said they could compare the fractions by comparing each fraction to ½. Show how Ella could compare 5/10 and ⅞ to ½ . Then explain who ran further and how you know.

Answers

Answer:

ELLA

Step-by-step explanation:

Given that :

Distance covered by Ella = 5/10

Distance covered by Sam = 7/8

Comparing each distance to 1/2

Ella = 5/ 10 = 1/2 ; 1/2 = 1/2 = 0.5

Sam = 7/8 = 0.875 ; comparing with 1/2

0.875 > 0.5

Given

Sam ran farther Than ELLA

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Answers

The value of x is equal to 8.

Given the following equation;

[tex]x + y = 12[/tex]  .....equation 1

[tex]x = 2y[/tex]       .....equation 2

To find the value of x, we would solve the system of equations by using the substitution method to determine the value of y;

Substituting eqn 2 into eqn 1, we have;

[tex]2y + y = 12[/tex]

[tex]3y = 12\\\\y = \frac{12}{3}[/tex]

y = 4

Next, we would solve for the value of x;

From equation 2;

[tex]x = 2y\\\\x = 2(4)[/tex]

x = 8

Therefore, the value of x is equal to 8.

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A rectangular prism has a length of 734 inches, a width of 312 inches, and a height of 6 inches. Mario has a storage container for the prism that has a volume of 165 cubic inches. What is the difference in volume between the prism and the storage container?

Answers

Answer: [tex]27.6\ in.^3[/tex]

Step-by-step explanation:

Given

Length of Prism is [tex]l= 7.34\ in.[/tex]

The width of Prism is [tex]w=3.12\ in.[/tex]

The height of Prism is [tex]h=6\ in.[/tex]

The volume of a The height rectangular prism is given as

[tex]V=l\times w\times h[/tex]

Substituting values we get

[tex]\Rightarrow V=7.34\times 3.12\times 6=137.404\ in.^3[/tex]

Volume of storage [tex]V_s=165\ in.^3[/tex]

The difference in volume is

[tex]\Rightarrow 165-137.404=27.59\approx 27.6\ in.^3[/tex]

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Answer:

-3

Step-by-step explanation:

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4. This is a
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5. The equation is
6. The value for f(-4) is
THREE NUMBERS BEHIND THE DECIMAL PT

Answers

Answer:

Step-by-step explanation:

4). This is an exponential function.

5). Let the equation of this function is,

    f(x) = a(b)ˣ

    Since, two points (-1, 4) and (0, 6) are lying on the graph of the function,

    For (-1, 4),

    4 = a(b)⁻¹

    4 = [tex]\frac{a}{b}[/tex] --------(1)

    For (0, 6),

    6 = a(b)⁰

    a = 6

    From equation (1),

    4 = [tex]\frac{6}{b}[/tex]

    b = [tex]\frac{6}{4}[/tex] = 1.5

    Therefore, equation of the function will be,

    f(x) = 6(1.5)ˣ

6). Now the value of f(-4) will be,

    f(-4) = 6(1.5)⁻⁴

           = 1.185

9 x ( 8 divided 1^3 )

Answers

The answer is 72!






...

HELP WILL MARK YOU BRAINLIEST

Answers

9514 1404 393

Answer:

  JL = 9√13

Step-by-step explanation:

All of the triangles in this geometry are similar:

  ∆MKL ~ ∆MLJ ~ ∆LKJ

Corresponding sides of similar triangles are proportional, so you can write the relations ...

  JL/JM = JK/JL   ⇒   JL² = JM·JK

  LM/JM = KM/LM   ⇒   LM² = JM·KM

Using the second expression to find JM, we have ...

 JM = LM²/KM = 18²/12 = 27

We know that JK = JM +KM. Then the first expression can be ...

  JL² = 27·(27 +12) = 9²·13

  JL = 9√13

Help me in 5 minutes

Answers

Answer:

it should be A and C

Step-by-step explanation:

peer reviews are supposed to help improve and edit unchecked writings, not improve relationships or socialize

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