Type the correct answer in the box. assume π = 3.14. and round your answer to the nearest hundredth. at the rate of $2.00 per square foot, the cost of painting the rectangular board with a semicircular top shown in the figure is $ .

Answers

Answer 1

The cost of painting the rectangular board with a semicircular top is $31.065 to the nearest hundredth.

How to find the area of the composite figures?

To find area of the composite figures,

Separate the figure.Calculate the are of the each figure by which the composite figure is made of.Add the area of all the individual figures to get the total area of composite figures.

The dimentions of the rectangle is 3 by 4 foot. The area of the rectangle is,

[tex]A_r=3\times4\\A_r=12\rm \;ft^2[/tex]

The radius of the semicircle is 1.5 m. The area of the semicircle is,

[tex]A_{sc}=\dfrac{1}{2}\pi\times(1.5)^2\\A_{sc}=\dfrac{1}{2}(3.14)\times(1.5)^2\\A_{sc}=3.5325\rm\; ft^2[/tex]

The area of the composite figure is,

[tex]A=12+3.5325\\A=15.5325\rm\;ft^2\\[/tex]

The rate of  painting is $2.00 per square foot. Thus the cost to paint the figure is,

[tex]A=15.5325\times2\\A=31.065[/tex]

Hence, the cost of painting the rectangular board with a semicircular top is $31.065 to the nearest hundredth.

Learn more about the area  of composite figures here;

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Answer 2

Answer:31

Step-by-step explanation:


Related Questions

Combine like terms
4x+3(2x+5b)-4b-2x+6

Answers

Answer:

[tex]\boxed{\sf{8x+11b+6}}[/tex]

Step-by-step explanation:

To solve this problem, you have to combine like terms of x and b from one side of the equation.

4x+3(2x+5b)-4b-2x+6

Combine like terms.

3(2x+5b)+4x-2x-4b+6

Solve.

4x-2x=2x

Rewrite the problem down.

3(2x+5b)+2x-4b+6

Expand the form.

Use a distributive property.

Distributive property:

A(B+C)=AB+AC

3(2x+5b)

Multiply.

3*2x=6x

3*5b=15b

Rewrite the problem.

6x+15b

6x+15b+2x-4b+6

Combine like terms.

6x+2x+15b-4b+6

Add the numbers from left to right.

6x+2x=8x

8x+15b-4b+6

Then, you add again.

15b-4b=11b

= 8x+11b+6

Therefore, the final answer is 8x+11b+6.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

8x+11b+6

Step-by-step explanation:

What is the slope of the graph of this function in decimal form?
(6,1) (-6,-5)

Answers

Answer:

slope = 0.5

Step-by-step explanation:

[tex]slope=\frac{-5-1}{-6-6} =\frac{-6}{-12} =\frac{1}{2} =0.5[/tex]

Hope this helps

The slope of the graph through points (6,1) and (-6,-5) is 0.5.

What is the slope of the graph?

The slope formula can be expressed as:

[tex]Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Given the coordinates of the points through which the graph passes through:

Point 1 ( 6,1 )

x₁ = 6

y₁ = 1

Point 2( -6,-5 )

x₂ = -6

y₂ = -5

Plug the coordinates into the slope formula and simplify.

[tex]Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}\\\\Slope (m) = \frac{-5 - 1}{-6 - 6}\\\\Slope (m) = \frac{-6}{-12}\\\\Slope (m) = \frac{1}{2}\\\\Slope (m) = 0.5[/tex]

Therefore, the slope of the line is 0.5.

Learn more about slope formula here: brainly.com/question/24578307

#SPJ3


look figure and give exact answer.​

Answers

Answer:

Those two lines are equal

2. The back of Nico’s truck is 7.5 feet long, 4 feet wide, and 8 feet tall. He has several boxes of important papers that he needs to move. Each box of papers is shaped like a cube, measuring 2.5 feet on each side.
How many boxes of papers can Nico pack into the back of his truck? Show your work.
Answer:

Answers

Answer:

9 boxes

Step-by-step explanation:

As the truck is 7.5 ft long, we can fit 3 boxes of paper along the length since 7.5 ÷ 2.5 = 3

As the truck is 4 ft wide, we can only fit 1 box of paper along the width

since 4 ÷ 2.5 = 1.6

As the truck is 8 ft tall, we can fit 3 boxes of paper high

since 8 ÷ 2.5 = 3.2

Therefore, the number of boxes of paper is:

3 × 1 × 3 = 9

Answer:

9 boxes

Step-by-step explanation:

Look above me ;)

for each pair of lines, determine whether they are parallel, perpendicular, or neither

Answers

Line 1 and 2 are parallel because they both have the same gradient (-4)
Rearranging line 3 for y is y=-4x + 1. Because the gradient of line 1 and 3 is the same (-4x) this means they are also parallel
Line 2 and 3 are also parallel because they have the same gradient (-4x)

Finding the Range
Find the range of the following set of numbers: 3, 16, 4,
17, 42, 12, 12, 16, 92, 14, 5.
After you find the range, explain how you came to that
calculation in the box below.

Answers

Answer:

89

Step-by-step explanation:

92 - 3 =89

subtract smallest from largest

Sandy is designing a circular garden as shown in this image. Her plan is to fill the rectangular region with hyacinths. She will need 78 square feet of space per hyacinth bulb. The hyacinth bulbs are sold in packages of 8.

What is the minimum number of packages Sandy must purchase to complete her plan?

Select from the drop-down menu to correctly complete the statement.

Sandy must purchase a minimum of _________
packages of hyacinth bulbs to complete her plan.

options are, 5,6,7,8

Answers

With one package (less actually) she can fill the 48ft^2 of the rectangular area.

How many packages does Sandy need?

We know that Sandy needs 7.8 square feet of space per hyacinth bulb, and the hyacinth bulbs are sold in packages of 8.

The rectangular region has a surface area of:

A = 8ft*6ft = 48 ft^2

The number of hyacinth bulbs that she can put in that surface is:

N = (48 ft^2/7.8 ft^2) = 6.15

So with 6 hyacinth bulbs, she can almost complete the rectangular area, and on each package there come 8 of them, so with one package she should be fine.

If you want to learn more about areas, you can read:

https://brainly.com/question/24487155

Answer:

The answer is 7 PACKAGES

Step-by-step explanation:

I took the test!

Can someone help me on this question? I’ll give brainliest if you answer soon!!!

Answers

Answer:

81

Step-by-step explanation:

Knowing that;

∠ EHD and ∠FHC are vertical angles.

since, ∠FHC = 81 Thus, ∠EHD = 81

Look at picture below for more information;

~Learn with Lenvy~

Answer:

81

Step-by-step explanation:

Given;

If m ∠FHC = 81 °, then what is m ∠ EHD?

Solve;

∠ EHD and ∠FHC are vertical angles.

Vertical angles ⇒  a pair of opposite angles formed by intersecting lines.

Since, ∠FHC = 81 hence,  ∠EHD  also = 81

[RevyBreeze]

Diego and Lin have savings accounts. Diego had $40 in his account 6 months ago. Now Diego has $250 in his savings account. Lin currently has $100 in her account. She plans to add $50 per month. 1. Write a system of equations to represent Diego and Lin’s savings accounts.

Answers

The equation that can be used to represent Diego's and Lin's savings account is 250 = 40 + 6x and Total savings= 100 + 50x respectively.

How to write equation

let

x = amount added each month

Diego:

6 months ago = $40

Now = $250

250 = 40 + 6x

250 - 40 = 6x

210 = 6x

x = 210/6

x = $35

Lin:

Now = $100

Future = $50 per month

let

x = number of months

Total savings= 100 + 50x

Learn more about equation:

https://brainly.com/question/16863577

if 10x+6 = 21 then what is 15

Answers

Answer:

The answer is

1.5 or 10x = 15

Step-by-step explanation:

Since 10x + 6 = 21 and we supposed to find what 15 is, we would have to use these steps;

First subtract 6 on both sides

10x + 6 - 6 = 21 - 6

= 10x = 15

Another way I know the other answer is by multiplying 10 by 1.5 which equals 15.

The expression 8x2 − 144x 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998. choose the equivalent expression that is most useful for finding the year where the population was at a minimum. 8(x2 − 18x 108) 8(x2 − 18x) 108 8(x − 9)2 − 216 8(x − 9)2 216

Answers

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Given expression 8x² − 144x + 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given expression is 8x² − 144x + 864

Let y = 8x² − 144x + 864

also,  y - 864 = 8x² - 144x

by Extracting common factor 8 on the right side

y - 864 = 8(x² - 18x)

Add (18/2)² on both sides, we get

y - 864 + 8(18/2)² = 8 (x² - 18x + 81²)

y - 864 + 648 = 8 (x² - 8x + 9)

on simplification

y - 216 = 8 (x - 9)²

y = 8(x - 9)² + 216

therefore, y = 8 (x - 9)² + 216

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Learn more about a quadratic equation here:

brainly.com/question/2263981

Mr. Jones has a cylindrical water storage
tank. The tank has a diameter of 6 feet and
a height of 12 feet. Mr. Jones wants to
paint the tank but since the tank rests on a
concrete slab, he will not need to paint the
bottom of the tank. How much paint will
he need to paint the water storage tank?

Answers

Answer:

254.47sqft (square feet) of paint

Step-by-step explanation:

The surface area of the cylinder (282.74) minus the area of the one circle that doesn't need to be painted (28.27) is 254.47sqft which is the amount of paint he will need Mr. Jones.

In exercises, 4 and 5, find the unknown or marked angles. ​

Answers

Answer:

alternate angle and counter

Olivia has a beaded necklace business. She can make 12 necklaces in 2 hours. How long will it take her to make 9 necklaces?

Answers

Answer:

1.5hours

Step-by-step explanation:

Please help me solve this

Answers

Answer:

x = 24

Step-by-step explanation:

using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m +n)}[/tex]

consider left side

[tex]5^{\frac{x}{6} }[/tex] × [tex]5^{\frac{x}{2} }[/tex]

= [tex]5^{\frac{x}{6} }[/tex] × [tex]5^{\frac{3x}{6} }[/tex]

= [tex]5^{\frac{4x}{6} }[/tex]

then

[tex]5^{\frac{4x}{6} }[/tex] = [tex]5^{16}[/tex]

since the bases on both sides are equal, both 5 then equate exponents

[tex]\frac{4x}{6}[/tex] = 16 ( multiply both sides by 6 )

4x = 96 ( divide both sides by 4 )

x = 24

Anita is 42 1/2 feet below jared. Steph is 67 3/7 feet above anita. What is stephs position compared to jared. Explain

Answers

Check the picture below.

let's firstly convert the mixed fractions to improper fractions and then subtract.

[tex]\stackrel{mixed}{42\frac{1}{2}}\implies \cfrac{42\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{85}{2}} ~\hfill \stackrel{mixed}{67\frac{3}{7}}\implies \cfrac{67\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{472}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{472}{7}~~ - ~~\cfrac{85}{2}\implies \cfrac{(2)472~~ - ~~(7)85}{\underset{\textit{using this LCD}}{14}}\implies \cfrac{944~~ - ~~595}{14}\implies \cfrac{349}{14}\implies 24\frac{13}{14}[/tex]

What is the answer to this question????

Answers

Answer:

Yes, its a linear function

Step-by-step explanation:

See, all the results here are one-one which means for a distinct input there will be a distinct output.

That's why its a linear function

I need help on this I don't get it please help me on this

Answers

Correct answer: 9x -14y = -6

Linear equation: y = ax + b

Let's replace (x,y) with (1/2, 3/4) and (4,3) and have the following equations:

1/2a + b = 3/4 (1)

4a + b = 3 (2)

=> (2) b = 3 - 4a

(1) 1/2a + 3 - 4a = 3/4

=> (1) 7/2a = 9/4

(2) b = 3- 4a

=> (1) a = 9/14

(2) b = 3/7

So we have the equation: y= 9/14x + 3/7

Multiple both sides with 14

=> 14y = 9x + 6

=> 9x -14y = -6

Find the Area. First person that answers this and gets it correct gets brainliest.

Answers

Answer:

Step-by-step explanation:

Break up the shape into a trapezoid and rectangle:

Trapezoid area = (Top + Bottom) * Height / 2

= (9 + 20) * (21-16) / 2

= 29 * 5 / 2

= 72.5

Rectangle area = Length * Width

= 20 * 16

= 320

Combining, the total area = 72.5 + 320

= 392.5 in^2

Answer:

A = 392.5 in²

Step-by-step explanation:

The composite figure is made up of a rectangle and a trapezoid.

Calculate the area of the rectangle:

[tex]\begin{aligned}\textsf{Area of a rectangle}&=\sf length \times width\\&=20 \times 16\\&=320\; \sf in^2\end{aligned}[/tex]

Calculate the area of the trapezoid:

[tex]\begin{aligned}\textsf{Area of a trapezoid}&=\dfrac{\text{base}\;a+\text{base}\;b}{2} \times \text{height}\\&=\dfrac{9+20}{2} \times (21-16)\\&=\dfrac{29}{2} \times 5\\&=72.5\; \sf in^2\\\end{aligned}[/tex]

Therefore, the area of the composite figure it the sum of the area of the rectangle and the area of the trapezoid:

[tex]\begin{aligned}\textsf{Total area of composite figure}&=\textsf{Area of rectangle}+\textsf{Area of trapezoid}\\&=320+72.5\\&=392.5 \; \sf in^2\end{aligned}[/tex]

Therefore, the area of the composite figure is 392.5 in².

Can someone please help me with this? I need to turn it in tomorrow and I don't understand what to do.

Answers

Answer:

Step-by-step explanation:

Slope intercept form

y + 7 = 3(x  + 4)                 Change all the double minuses to pluses.

y + 7 =  3x + 12                  Remove the brackets.

y + 7 - 7 = 3x + 12-7           Subtract 7 from both sides

y = 3x + 5

Slope

Whatever number is in front of the x is the slope Answer: 3

y intercept

Whatever comes after the plus sign (or minus sign) is the y intercept. It is a single number.  Answer: 5

x intercept.

This occurs when y = 0

0 = 3x + 5                      Subtract 5 from both sides

-5 = 3x + 5 -5

-5 = 3x                            Divide by 3

-5/3 = 3x / 3

-5/3 = x                          

Answer: x_intercept = -5/3

Using the BOX and WHISKER above, what is the LOWER QUARTILE of the information?

Answers

Answer:

Lower Quartile is 8 according to the diagram.

Which of the following best describes the graphs below?


A.
Parallelogram A is similar to parallelogram B by dilating parallelogram A by a scale factor of 2 with the center of dilation at the origin, translating it 4 units down and 4 units left, and reflecting it across the y-axis.
B.
Parallelogram A is neither similar nor congruent to parallelogram B.
C.
Parallelogram A is congruent to parallelogram B by dilating parallelogram A by a scale factor of with the center of dilation at the origin, translating it 4 units down and 4 units left, and reflecting it across the y-axis.
D.
Parallelogram A is similar to parallelogram B by dilating parallelogram A by a scale factor of with the center of dilation at the origin, translating it 4 units down and 4 units left, and reflecting it across the x-axis.

Answers

Answer:

Step-by-step explanation:

D

good afternoon, please help me with this question and if u get it correct ill give u the brainlest

Answers

Answer:

3/5

Step-by-step explanation:

Hope that this helped :)

paul says x/y can result in either positive or negative quotient. is paul correct? explain why or why not.

Answers

Answer:

Dividing by same signs give a positive answer.

Dividing by different signs give a negative answer.

Step-by-step explanation:

Quotient is just a term for the answer given by a division problem.

positive/positive = positive

positive/negative = negative

negative/positive = negative

negative/negative = positive

(h(1) = 9
h(2) = 3
h(n) = h(n - 2)•h(n - 1)
h(3) =

Answers

Answer: 27

Step-by-step explanation:

Maria wants to determine which students is favored for president of the student council. Which of the following samples are biased and not freedom? Select all that apply.
O Surveying the boys in the freshman class.
O Surveying every other student in the cafeteria.
O Surveying all the students in her math class.
O Surveying 20 students from each grade at random.
O Surveying the students in the chess club.

Answers

- Surveying the boys in the freshman class is biased. It doesn’t take a sample from all of the school, it is from only one grade and one gender.

-Surveying every other student in the cafeteria would be biased IF only a certain grade was in there at a certain time. If every student was in the cafeteria at the same time, it would be non biased.

-Students in her math class is biased- it only considers those in a certain class, not everyone.

-20 from each grade at random is NOT biased, it considers every grade and 20 random students.

-Chess club is biased. Only students in one particular group get to answer. Hope this helps!

Answer:

A, C, E,

Step-by-step explanation:

A)Surveying the boys in the freshman class.

C)Surveying all the students in her math class.

E)Surveying the students in the chess club.

Scott earns $16. 85 per hour at his job. He works 7 hours per day, 4 days per week. What is Scott’s gross monthly income for 4 weeks? a. $471. 80 b. $943. 60 c. $1,415. 40 d. $1,887. 20.

Answers

The gross monthly income for 4 weeks is $1,887.20

We have given that Scott earns $16. 85 per hour at his job.He works 7 hours per day then,

What is the  computation of the gross monthly income for 4 weeks?

Gross income= Earning per hour × number of hours works per day × number of days works per week × number of weeks

Gross income= $16.85 × 7 × 4 × 4

Gross income= $1,887.20

Therefore, the gross monthly income for 4 weeks is $1,887.20.

To learn more about the gross monthly income visit:

https://brainly.com/question/25623677

Which quadratic function in standard form has the values a = –3. 5, b = 2. 7, and c = –8. 2? f(x) = 2. 7x2 – 8. 2x – 3. 5 f(x) = 2. 7x2 – 3. 5x – 8. 2 f(x) = –3. 5x2 – 8. 2x 2. 7 f(x ) = –3. 5x2 2. 7x – 8. 2.

Answers

The answer which would absolutely be pi (I’m incorrect am I.)

i will mark brainliest rn

Answers

Answer:

65 is the correct answer

Please help I'm extremely confused. Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale. (picture of diagram included )​

Answers

Answer:

x=8.4

Step-by-step explanation:

use tangent to solve the equation which is opposite/adjacent and set up the proportion

[tex] \frac{ \tan(35) }{1} = \frac{x}{12} [/tex]

the cross multiply to get x=tan(35)×12 then multiply that to get x=8.4

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