John is putting a fence around his garden that is shaped like a half circle and a rectangle. A rectangle has a length of 14 feet and width of 7 feet. A semicircle with diameter of 7 feet is on top of the rectangle. How much fencing will John need? Use StartFraction 22 over 7 EndFraction for Pi. 32 ft 39 ft 46 ft 57 ft

Answers

Answer 1

Answer:

He needs approximately 46 feet of fencing.

Step-by-step explanation:

John's garden has a shape of a composite figure as shown in the annexed drawing. To find the length of the fencing he needs we need to find the perimeter of the rectangle and subtract it with the width and find the length of the circle and divide it by two. This is done below:

[tex]\text{fence} = (\text{rectangle perimeter} - \text{width}) + (\frac{\text{circle perimeter}}{2})\\\text{fence} = (2*14 + 2*7 - 7) + (\frac{2*\pi*3.5}{2})\\\text{fence} = 35 + 11 = 46 \text{ feet}[/tex]

He needs approximately 46 feet of fencing.

John Is Putting A Fence Around His Garden That Is Shaped Like A Half Circle And A Rectangle. A Rectangle
Answer 2

Answer:

46

Step-by-step explanation:


Related Questions

Brian & Paul share a lottery win of £7800 in the ratio 1 : 4. Brian then shares his part between himself, his wife & their son in the ratio 1 : 6 : 3. How much more does his wife get over their son?

Answers

Answer:

The wife gets £468 over the son

Step-by-step explanation:

Firstly, we shall calculate the total amount Brian made from from what he and Paul won.

The ratio is 1:4, meaning for every 2 part Brain takes, Paul takes 4

Paul’s share is thus 1/5 * 7800 = 7800/5 = £1560

Now we have another ratio for sharing the amount Brain has at home.

The total ratio here is 1+6+3 = 10

The share of the wife will be 6/10 * 1560 = 6 * 156 = 936

The son share is half of this which is 936/2 = 468

The difference between their shares is £936-£468 = £468

The length of a rectangle is 6 cm less than twice its width, and the area is 108cm2. Write an equation to solve for the dimensions.

Answers

Answer:

see below

Step-by-step explanation:

Let's call the width w. The length would then be 2w - 6. Since the area of a rectangle = length * width the answer is 208 = (2w - 6) * w.

2.
85, 78, 82, 76, 89, 77, 78, 42, 83, 84, 87, 85, 78
What effect does the outlier have on the mode of this data?
1. The mode increases.
2. The mode decreases.
3. The mode cannot be calculated.
4. The mode remains the same.

Answers

Answer:

the mode remains the same

Step-by-step explanation:

42 is outlier.

mod is the most repetitive number of a number string, and outlier does not change it.

the mode remains the same.

URGENTE!
(Foto 1)Decomponha o radicando em fatores primos e calcule o valor de cada radical
(Foto 2)Calcule
Alguem responde pfvr tenho até hj de noite pra responder

Answers

Step-by-step explanation:

Do it yourself will be help ful

[tex]6113 {2x}^{2} [/tex]

What are the x-intercepts
1. (x - 12) (x + 6) = 0​

Answers

( x - 12 ) ( x + 6 ) = 0

x - 12 = 0 and x + 6 = 0

x = 12 and x = -6

Answer:

[tex]x=12,\:x=-6[/tex] are your x intercepts

Step-by-step explanation:

[tex]\left(x-12\right)\left(x+6\right)=0\\\mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)\\\mathrm{Solve\:}\:x-12=0:\quad x=12\\x-12=0\\\mathrm{Add\:}12\mathrm{\:to\:both\:sides}\\x-12+12=0+12\\Simplify\\x=12\\\mathrm{Solve\:}\:x+6=0:\quad x=-6\\x+6=0\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\x+6-6=0-6\\Simplify\\x=-6\\The\:solutions\:to\:the\:quadratic\:equation\:are:\\x=12,\:x=-6[/tex]

Solve the equation. y + 6 = –3y + 26

Answers

Answer:

y = 5

Step-by-step explanation:

y + 6 = –3y + 26

Add 3y to each side

y+3y + 6 = –3y+3y + 26

4y +6 = 26

Subtract 6 from each side

4y+6-6 = 26-6

4y = 20

Divide by 4

4y/4 = 20/4

y = 5

The solution of y in the equation y + 6 = - 3y + 26 is,

⇒ y = 5

We have to given that;

Expression is,

⇒ y + 6 = - 3y + 26

Now, We can simplify as;

y + 6 = - 3y + 26

Add 3y to each side

y + 3y + 6 = - 3y + 3y + 26

4y + 6 = 26

Subtract 6 from each side

4y + 6 - 6 = 26 - 6

4y = 20

Divide by 4

4y/4 = 20/4

y = 5

Thus, The solution of y in the equation y + 6 = - 3y + 26 is,

⇒ y = 5

Learn more about the equation visit:

brainly.com/question/28871326

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While Diane was visiting her sister in Kingwood, she bought a bunch of balloons that was marked down 20% from an original price of $5. If the sales tax in Kingwood is 8.5%, what was the total cost of the bunch of balloons? $

Answers

Answer:

$4.34

Step-by-step explanation:

Given the information:

The original price: $5Discount : 20% Tax: 8.5%

We can find out the actual price that Diane bought a bunch of balloons that was marked down 20% is:

= the original price (100% - discount rate)

= 5(100% -20%)

= $4

The tax amount she need to pay is:

= The actual price*tax rate

= $4*8.5%

= $0.34

=> the total cost of the bunch of balloons :

The actual price + tax price

= $4 + $0.34

= $4.34

Hope it will find you well.

A rocket is launched at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+100t+325. What is the independent variable and its units? ______ (meters, seconds, meters per second, or seconds per meters) - select the correct units What is the dependent variable and its units? _______ (seconds or meters) - select the correct units

Answers

Answer:

see below

Step-by-step explanation:

h(t)=−4.9t2+100t+325.

The independent variable is the one that we change

t which is in seconds

The dependent variable is the result

h(t) which is in meters

which expression is equivalent
HELP ME PLEASE

Answers

Answer:

the 4th option is correct

Step-by-step explanation:

[tex]xy^{2/9}[/tex]   Original expression

[tex]x(y^{2})^{1/9}[/tex]   Split up the exponent

[tex]x(\sqrt[9]{y^{2} } )[/tex]   The 1/9 of an expression is the same thing is the 9th root of the expression.

James is one-third the age of his father Steve. The sum of their ages is 68. How old is James and Steve?
Plese explain in simpler words and use 'x' as the variable..
the one who answers first will get brainliest..

Answers

Answer: James + Steve = 68. = 17*3 = 51. Answer. Steve is 51 years old.

Triangle ABC was transformed to be triangle DEF using one transformation. What transformation was performed? translation reflection rotation dilation

Answers

Answer:

This is a rotation of 180 degrees

Step-by-step explanation:

A translation is a shift side to side or up and down

A reflection is a mirror image across a line

A dilation is a shrink/enlargement

This is a rotation of 180 degrees.  If we rotate around the origin 180 degrees, we will have the same image

Answer:

B. one 90 degree rotation

Step-by-step explanation:

im smart.

i suck at geo please help

Answers

Answer:

It's B

Step-by-step explanation:

Because you see a reflection would show the traingle flipped translation would mean the traingle is in a totally different space and rotation would mean the shape is rotated and so B is left and so B is the correct answer.

40 as a product of its prime factor can be written like this 40=2x2x2x5 write 60 as a product of its prime factor write in order smallest to larges

Answers

Answer:

2^2x3x5

Step-by-step explanation:

State the negation of the following statement: It is cloudy.

Answers

Answer:

It is not cloudy.

Step-by-step explanation:

The negation is like the opposite of the statement. If you were to say something true, the negation of it would be false.

Answer: It is not cloudy.

Step-by-step explanation:

Could someone help me out

Answers

it is the second one

Answer:

−10d^4+17d^2s−6s^2

What is this problem

Answers

Answer:

[tex]m=A-\frac{2n}{Z}[/tex]

Step-by-step explanation:

Multiply by 2:

2n = Z(A - m)

Divide by Z:

[tex]\frac{2n}{Z} =A-m[/tex]

Subtract A:

[tex]-m=\frac{2n}{Z}-A[/tex]

Multiply by -1:

[tex]m=A-\frac{2n}{Z}[/tex]

log base 4 (x^2) - log base 4 (x)

Answers

Answer:

[tex] log_{4}( {x}) [/tex]

Step-by-step explanation:

[tex] log_{4}( {x}^{2} ) - log_{4}(x) \\ = log_{4} \bigg( \frac{ {x}^{2} }{x} \bigg )..(by \: quotient \: rule) \\ = log_{4}( {x}) \\ \\ \purple{ \boxed{ \bold{\therefore \: log_{4}( {x}^{2} ) - log_{4}(x) = log_{4}( {x}) }}}[/tex]

A rectangle has a width that is 3cm less than its length. The perimeter of the rectangle is 22cm. What is the length and width of the rectangle? Please use problem solving algebraically and explain your answer so i can give you the brainliest. :)

Answers

Answer:

The length is 7 and the width is 4

Step-by-step explanation:

l = length

w = l-3

P =2( l+w)

22 = 2( l+ l-3)

Combine like terms

22 = 2(2l-3)

Divide each side by 2

22/2 = 2/2 (2l-3)

11 = 2l-3

Add 3 to each  side

11+3 = 2l-3+3

14 = 2l

Divide each side by 2

14/2 =2l/2

7 = l

Now find w

w = l-3

w = 7-3 = 4

Answer: length = 7 cm

Width = 4 cm

Step-by-step explanation:

Perimeter = 2 (l + w)

22 = 2 ( l + l-3)

22=2 (2l - 3)

22=4l - 6

22+6 = 4l

4l = 28/4

l = 28/1 = 7 = length

Width = 7-3 = 4

What is the value angle marked x?

Answers

Answer: x =104

Step-by-step explanation:

If we draw the black line shown in the figure, two isosceles triangles are formed, and the base angles of the isosceles triangles are the same. The red angles are the same and the green ones too. The 104 degree angle is the sum of the red angle and the green angle, and x is also the sum of the red angle and the green angle, therefore x = 104.

!!Will mark Brainliest!! The points in the table lie on a line. What is the slope of the line?

Answers

Answer:

-7/6

Step-by-step explanation:

shoe store uses a 40% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of ​$69

Answers

Answer: $96.60  

Step-by-step explanation:

40% * 69 = markup price

0.4 * 69 = 27.6

Now add it to the wholesale price which is the price the store bought the shoes.

$27.6 + $69 = $96.60  

or

100% + 40% = 140%

140% of 69 = ?

1.4 * 69 = $96.60

there are 357 seniors in harris high school. The ratio of boys to girls is 7:10. How many girls are in the senior class?

Answers

x/357 = 3/10
You get x= 107.1
So there are 107 girls in the senior class

Find the value of x which would make line A parallel to line B

Answers

Answer:

35

Step-by-step explanation:

2 lines are parallel if 5x-54 was equal to 3x+16 so

5x-54=3x+16

5x-3x=54+16

2x=70

x=35

Suppose that you placed $500 in a bank account at the end of each year for the next 10 years. How much would be in that account at the end of the tenth year if the deposits earned an annual rate of return of 8% each year?

Answers

Answer:

5400$

Step-by-step explanation:

First, you need to figure out 8% of 500$.

That is 40$.

Now, you need to multiply 500 by 10, because there are 10 years.

That is 5000$

Now, we need to add the 8% that was added each year. So we do 40$ times 10.  400$

Then we add the 5000 and 400.

The answer is 5400$

I really hope this helped you! So sorry if it doesn't!

Calculate the final cost of a television if the price is $1700.00 and the tax is 3%.

Answers

[tex]answer = 1751\\ selling \: price = 1700 \\ tax \: percent = 3 \: percent \\ tax \: amount = tax \: percent \: of \: \: sp \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \: percent \: of \: 1700 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 51 \\ \\ \: final \: cost = 1700 + 51 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1751 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

$1751

Step-by-step explanation:

Selling price

[tex]1700[/tex]

Tax percent

[tex]3\%[/tex]

Tax amount

[tex]1700 \times \frac{3}{100} \\ = 51 [/tex]

Final cost

[tex]1700 + 51 \\ = 1751[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

What is the x-value of the vertex?

f(x)=(x+2)2−1
x-value of the vertex:

Answers

X,2,f;(x) 2-1 the answer

Step-by-step explanation:

f(x) = (x+2)(2-1)

= x(2-1)+2(2-1)

= 2x-x + 4-2

= 2x - x + 2

Suppose a projectile is fired from a cannon with velocity v0 and angle of elevation θ. The horizontal distance Rθ it travels (in feet) is given by the following.
=Rθv02sin2θ32
If =v080 /fts, what angle θ (in radians) should be used to hit a target on the ground 95 feet in front of the cannon?
Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian. (If there is more than one answer, enter additional answers with the "or" button.)

Answers

Answer:

0.25 rad to the nearest hundredth radian

Step-by-step explanation:

Here is the complete question

Suppose a projectile is fired from a cannon with velocity vo and angle of elevation (theta). The horizontal distance R(θ) it travels (in feet) is given by the following.  

R(θ) = v₀²sin2θ/32

If vo=80ft/s what angel (theta) (in radians) should be used to hit a target on the ground 95 feet in front of the cannon?

Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian.

(θ)= ?rad

Solution

R(θ) = v₀²sin2θ/32

If v₀ = 80 ft/s and R(θ) = 95 ft

θ = [sin⁻¹(32R(θ)/v₀²)]/2

= [sin⁻¹(32 × 95/80²)]/2

=  [sin⁻¹(3040/6400)]/2

=  [sin⁻¹(0.475)]/2

= 28.36°/2

= 14.18°

Converting 14.18° to radians, we have 14.18° × π/180° = 0.2475 rad

= 0.25 rad to the nearest hundredth radian

Answer:

Theta= 0.32 rad

or Theta= 1.25 rad

Step-by-step explanation:

On the Aleks explanation

Can anyone help me with this problem?

Answers

Answer:

Step-by-step explanation:

What you are looking for is the simplification of f(x) divided by g(x). This can be easily accomplished with synthetic division. If we are dividig the quadratic by x - 1, we will use the fact that if x - 1 = 0, then x = 1. We will put that 1 outside the "box" and put the coefficients from the quadratic inside the "box" and do the division synthetically. The coefficients on the quadratic terms are 2, 1, and -3:

1 | 2     1     -3

___________

We begin by bringing down the first number, a 2, and multiplying it by the 1 in the box and putting the product up under the 1:

1 |  2     1     -3

           2        

    2

Now we add down the column:

1 |  2     1     -3

          2        

    2     3

Now multiply the 3 by the 1 outside the box and put that product up under the -3 and then add down that column:

1 |  2     1     -3

          2     3

   2      3     0

Because we have a 0 remainder, that means that the quadratic was evenly divisible by x - 1.  What we have left is called a depressed polynomial. It takes on the x values at one degree lesser than what we started with. Namely, it will be 2x + 3.

2x + 3 is what we get when we divide the quadratic by x - 1. BUT because we started off with x - 1 in the denominator, even though we divided it away to simplify, we still have to take into account that the value of 1 makes the denomiator go to 0, which is never allowed in math.

So the answer you want is the first one!

 

PLZZZ HELPPP
Kim and Josh can clean a house together in 3 hours. If it takes Kim 7 hours to clean the house by herself, how long would it take Josh to clean the house alone? Leave your answer in improper fraction form, then convert to a decimal.

Answers

Answer: 28/3 hours

Step-by-step explanation:

From the question, Kim and Josh can clean a house together in 3 hours while Kim alone uses 7 hours to clean the house by herself.

Kim's hourly rate will be to clean the house = 1/7 per hour.

In 4 hours:

Kim will have completed = 1/7 × 4 = 4/7 of the house

This mean that Josh completes:

1 - 4/7 = 3/7 of the house.

Josh's hourly rate will now be:

1/4 × 3/7 = 3/28 of the house per hour.

From Josh to clean the house alone, he will use:

= 1 ÷ (3/28)

= 1 × 28/3

= 28/3 hours

Josh will use 28/3 hours to clean the house alone?

find the midpoint of A and b where A has coordinates (2,7) and B has coordinates (6.3)

Answers

Answer:

Midpoint of A and B is (4,5).

Step-by-step explanation:

If there are two points (x1,y1) and (x2,y2) on the coordinate plane

then midpoint is given by (x1+x2)/2 , (y1+y2)/2

_____________________________________

here two points are  (2,7)  and (6,3)

substituting this value in  (x1+x2)/2 , (y1+y2)/2

we have,

midpoint  (2+6)/2, (7+3)/2

  = 8/2 , 10/2 = 4,5

Midpoint of A and B is (4,5).

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