Suppose a bay window is a perfect semicircle with an area of 4.5 square feet. If the architect wants to use a scale of 0.5 inch = 1 ft on the floor plan, what is the radius of the bay window on the floor plan?
A) 0.85 inches
B) 1.7 inches
C) 3 inches
D) 3.4 inches

Answers

Answer 1

The answer is A) .85 inches

Step-by-step explanation:

A =  

1 /2 πr2 4.5 =  1 2 πr2  1.6926 = r

  thus, 0.50 in  

1 ft  =  x in 1.6926 ft x = 0.8463

Answer 2

Final answer:

To find the radius of the bay window on the floor plan, calculate the radius of the actual bay window first, apply the scale factor, resulting in a radius of 3.4 inches that is option D is correct.

Explanation:

To find the radius of the bay window on the floor plan, you need to calculate the radius of the actual bay window first. Given the area of the bay window as 4.5 square feet in a semicircle shape, you can use the formula for the area of a semicircle, A = 1/2 * π * r².

Once you find the actual radius, you can then convert it to the scale of 0.5 inch = 1 ft to determine the radius on the floor plan. Remember, the scale factor is the ratio of a length on the drawing to the actual length it represents.

After the calculation, the radius of the bay window on the floor plan is 3.4 inches (Option D).


Related Questions

if the mean of seven values is 39, find the sum of the values.

Answers

the sum of the values = 39 × 7 = 273
Sum. The aggregate of a group of numbers. The formula is:Sum = , where the symbol ∑ represents adding all the data values.

136+39=175

Help with math? Giving 30points

Answers

The domain is all possible values of 'x' that would make the function true. As you can see from the graph, this function goes out to infinity both ways, so all values of 'x' will satisfy the function, so your answer should be:

[tex]\sf \{x|x\in \mathbb{R}\}[/tex]

Answer:

The domain is all possible values of 'x' that would make the function true. As you can see from the graph, this function goes out to infinity both ways, so all values of 'x' will satisfy the function, so your answer should be:

Step-by-step explanation:

The temperature started at 35 F. If the temperature went down 4°F and then up 2 F, whats is the temperature differe relative to the high temporature?

Answers

35-4+2 = 31+2 = 33 F

Original price: $25; Markdown: 12%

Answers

Take $25 times .12 which is 3
Then take 25-3 which is $22
Your sale price is $22

$22 is the sale price when the Original price is $25 and Markdown is 12%.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

The original price is twenty five.
The markdown is twelve percentage.

We have to find the sale price of the product.

Let us convert 12% to the decimal value by dividing 12 with 100

12/100=0.12

Now multiply 0.12 with 25

0.12×25=$3

Now subtract 3 from 25

25-3=22

Hence, $22 is the sale price when the Original price is $25 and Markdown is 12%.

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Need so much help please

Answers

i think 2x×3x×x= 6^3 is the answer

What is the value of 12-6*3?

Answers

the answer would be 18 you subtract 6 and get six then times three
this is -6
I hope this helps 

What is the volume of this container?

Answers

You have to cut it have first so there is a top and a bottom rectangle.
For the bottom one it is 40 x 40 x 25 = 40,000
For the top one it is 40 x 35 x 25 = 35,000
Then you add 35,000 and 40,000 to get 75,000 cm cubed

Answer:

C. [tex]75000\text{ cm}^3[/tex]

Step-by-step explanation:  

We have been given a container and we are asked to find the volume of our given container.

We can see that our container is made of two cuboids, so we will use volume of cuboid formula to solve our given problem.

[tex]\text{Volume of cuboid}=\text{Length*Breadth*Height}[/tex]

We can from provided image that the base cuboid (bigger) has lengths 25 cm, 40 cm and 40 cm.

The height of smaller cuboid will be 25 cm (50 cm -25 cm). The other two sides of smaller cuboid are 35 cm and 40 cm.

[tex]\text{The volume of container}=\text{Volume of the bigger cuboid + Volume of the smaller cuboid}[/tex]

Upon substituting our given values in volume formula we will get,

[tex]\text{The volume of container}=\text{25 cm*40 cm*40 cm}+\text{25 cm*35 cm* 40 cm}[/tex]

[tex]\text{The volume of container}=40000\text{ cm}^3+35000\text{ cm}^3[/tex]

[tex]\text{The volume of container}=75000\text{ cm}^3[/tex]

Therefore, the volume of our given container is [tex]75000\text{ cm}^3[/tex] and option C is the correct choice.

A student solved this problem by making a table.

Arturo has $120. Max has $90. In how many years will they both have the same amount of money if Arturo saves $90 per year and Max saves $100?
Arturo $120 $210 $300 $390
Max $90 $190 $290 $390
Year 0 1 2 3
Here is a problem that can also be solved by making a table.

Amira has $80. Sasha has $40.



In how many months will they both have the same amount of money if Amira saves $40 per month and Sasha saves $50?

Answers

it will take 4 months for them to have the same amount of money

Please help me out I appreciate it

Answers

V = 1/3 * l * w * h
V = 1/3 * 15 * 15 * 20
V = 1500 cm^3

Find the diameter of a circle if the circumference is 52 inches

Answers

D = 16.55 in

hope this helps
D=16.55 inches area
That's is the answer

Jasmine has 5 1/4 cups of frosting. She wants to put 3/8 cup of frosting on each cupcake she makes. About how many cupcakes can she make?

Answers

oen cupcake  = 3/8 cups

Number of cupcakes:

5 1/4 ÷ 3/8
= 21/4 ÷ 3/8
= 21/4 x 8/3
= 14

She can make 14 cupcakes.

HELP ASAP

What is the next term in the sequence below?

1, 3, 9, 27, . . .
A. 30
B. 36
C. 61
D. 81

Answers

the answer is choice D  81.. these are perfect cube numbers
D is the correct answer

How do yo write 51 centimeters as a fraction of a meter?

Answers

51/100 i think... i may be wrong

Mikayla asked 10 of her friends how many hours of TV they watch in a week. Three of her friends said 8 hours, two of her friends said 9 hours, two of her friends said 11 hours, one of her friends said 12 hours, and two of her friends said 14 hours. Mikayla wanted to make a dot plot of the data she gathered. In what order would she create the dot plot?

Answers

Answer:

it´s A Got it right on Edge 2022

Step-by-step explanation:

The tires on your bicycle have a diameter of 9 inches. How many rotations does each tire make when you travel 300 feet? Round your answer to the nearest whole number.

Answers

so we know that the tire is 9 inches and its traveling 300 feet so 
1 foot = 12 inches
300 feet x 12 = 3600 inches
3600 inches divided by 9 = 400 rotations
I hope this helped you i wld apprecite brainleist

Answer:400

Step-by-step explanation:

1 foot = 12 inch

300 by 12 = 3600

3600 divided by 9 inches = 400

You're welcome L0L

Wendy is a college student in her sophomore year. She is single with no kids, and has her education paid for by a scholarship. What type of life insurance does she need?

Answers

None, really. She has no dependents that could benefit. On the other hand, if she gets Life insurance early in life (Term life insurance) with no devastating disease she can lock in the rates. Who know's what the future bring and she might get married and have a family, get sick etc. I have to admit I'm biased since I'm Swiss and we tend to get overinsured. But for the sake of this question, None is the correct answer.

Please help, I’ve been stuck on this question for about a hour now.

Answers

6x + 5x + (x + 16) + (3x - 1) = 360
11x + x + 16 + 3x - 1
15x + 15 = 360
15x = 345
x = 23


6(23) = 138
((23) + 16) = 39
(3(23) - 1) =68
5(23) = 115

138 + 39 + 68 + 115 = 360

simplify 5.5a-1+21b+3a
Please help me

Answers

Final answer:

To simplify the expression 5.5a - 1 + 21b + 3a, combine like terms to get 8.5a + 21b - 1, which is the simplified form of the original expression.

Explanation:

To simplify the expression 5.5a - 1 + 21b + 3a, we need to combine like terms, which are terms that have the same variable raised to the same power. Here, 5.5a and 3a are like terms, and they can be combined by addition. There are no like terms for 21b or the constant -1, so they remain as they are.

Step 1: Combine the coefficients of like terms 5.5a and 3a: 5.5a + 3a = 8.5a.

Step 2: Rewrite the simplified expression with the combined like term: 8.5a + 21b - 1.

This is the simplified form of the original expression.

can u please help me list it greatest to least

Answers

greatest to least is 3 1/2 , 3 , 1/3 , 0.3 , 0.03

Hope im right

If a triangle has the sides of 7,24,25, determine whether the triangle is a right triangle.

Answers

you can get help from Pythagoras theorem :
[tex] {x}^{2} = {7}^{2} + {24}^{2} \\ {x}^{2} = 49 + 576 = 625 \\ x = \sqrt{625} = 25[/tex]
it's a right angle

Answer:

it is a right triangle

Step-by-step explanation:

by Pythagorean theorem

Solve the proportion x/6=12/9

Answers

Multiply by 6 and simplify
.. x = 6*12/9 = 72/9 = 8

x = 8
Hey there!

You have to cross multiply the proportions. So x x 9 = 9x. 6 x 12 =72. The equation you get is 9x=72. You have to isolate x, so divide each side by 9. You get x=8. Since x is by itself, the answer is x=8.

I hope this helps!

PLEASE HELP I NEED ANSWER FAST


Antoine and Tess have a disagreement over how to compute a 15% gratuity on $46.00.

Tess says, “It is easy to find 10% of 46 by moving the decimal point one place to the left to get $4.60. Do that twice. Then add the two amounts to get $4.60 + $4.60 = $9.20 for the 15% gratuity.”

How should Antoine respond to Tess’s method?

A) “Tess, the best way to find 15% of $46.00 is to multiply mc013-1.jpg by $46.00 to get $3.07, which is the 15% gratuity.”

B) “Tess, you found 20% of the number because you added 10% and 10%. You need to add 10% to mc013-2.jpg of 10%. Add $4.60 and $2.30 to get $6.90, which is the 15% gratuity.”

C) “Tess, the best way to find 15% of $46.00 is to multiply 0.015 and 46.00 to get $0.69, which is the 15% gratuity.”

D) “Tess, you should use a table with 5% segments to find the gratuity. Each 5% segment has a value of $9.20, so that is the 15% gratuity.”

Answers

the answer should be B
What is mc013-2.jpg? could you link to the image so we could make sure we know the answer

A cone-shaped tent has a diameter of 12 ft and a height of 6 ft. What is the approximate volume of the tent? Use 3.14 to approximate pi, and express your final answer as a decimal. Enter your answer in the box. ft³

Answers

The answer is 226.08. I just took the test i hope it helps

Answer:

The volume of cone -shaped tent is 226.08 cubic ft.

Step-by-step explanation:

Given : A cone-shaped tent has a diameter of 12 ft and a height of 6 ft.

To find : What is the volume of the tent?

Solution : The formula of volume of cone is

[tex]V=\frac{1}{3}\pi r^{2} h[/tex]

where, r is the radius

we have given diameter = 12 =2r

r=6 ft

h is the height h=6 ft

[tex]\pi =3.14[/tex]

Substitute the value in the formula,

[tex]V=\frac{1}{3}\pi r^{2} h[/tex]

[tex]V=\frac{1}{3}\times (3.14)\times 6^{2}\times 6[/tex]

[tex]V=\frac{1}{3}\times 3.14\times 36\times 6[/tex]

[tex]V=226.08 ft^3[/tex]

Therefore, The volume of cone is 226.08 cubic ft.

I really need help on this!! God bless you!!

Answers

The awnser is D) 3:2
If you divide the side AD by the side AB (75÷50) you will get 1.5 or 3/2 ( the ratio )

Hope it helps :)

I hope you understood my brief explanation
And please consider marking this as the Branliest awnser if you think it deserves! Thank you. :)

Jacqueline had four $5 bills. She bought a shirt for $10. Explain what fraction of her money Jacqueline has left. Use equivalent fractions.

Answers

$5•4= $20

20-10= 10

10/20= 1/2

HELP ME PLEASE I NEED HELP ASAP

Answers

Y= 4x+ 2

X Y

0. 2

1. 6

2. 10
For this case what you should do is evaluate the values of x in the function shown.
 y = 4x + 2
 We have then:
 For x = 0
 y = 4 (0) +2
 y = 0 + 2
 y = 2
 For x = 1 
 y = 4 (1) +2
 y = 4 + 2
 y = 6
 For x = 2
 y = 4 (2) +2
 y = 8 + 2
 y = 10
 Finally the table is:
 x --- y
 0 --- 2
 1 --- 6
 2 --- 10
 Answer: 
 x --- y
 0 --- 2
 1 --- 6 
 2 --- 10

One batch of fruit punch contains 1/4 quart grape juice and 1/2 quart apple juice. Colby makes 9 batches of fruit punch. How much grape juice did he use for 9 batches?

Answers

1 batch = 1/4 quart graph juice
9 batches = 1/4 x 9 
9 batches = 9/4
9 batches = 2 1/4 quart of graph juice
2 and 1/4 quarts of grape juice. It's simple.... see how he made nine batches? take 4 out of 9 and you have an quart. Then take another 4 out of 9 and you have 2 quarts. Then with the one left over, it's 1/4 of a quart. So add all of that together and you have 2 1/4 quarts! Hope this helps.

Use equal intervals to make a frequency table for the average number of movies per person. You do not need to show tally marks.

Country Average Number of Movies
Turkey 0.5
Japan 1.2
UK 1.3
Finland 1.3
Austria 1.5
Germany 1.8
Spain 2.2
Sweden 2.2
Denmark 2.2
Switzerland 2.5
France 2.5
Norway 3.0
Canada 3.0
US 4.5

Answers

The frequency table would look something like this:

# countries | average # of movies
          1       |                 0-1
          5       |                 1-2
          5       |                 2-3
          2       |                 3-4
          1       |                 4-5

We set equal intervals for the number of movies.  Then we count the frequency, or number of entries, for each interval.

The ranges in the frequency table are inclusive on the lower end and exclusive on the upper end.

To create a frequency table using equal intervals for the average number of movies per person, we first need to determine the intervals and then count how many countries fall into each interval.

Let's use intervals of 1.

Frequency Table:

Average Number of Movies | Number of Countries

0.5 - 1.4 | 4 (Turkey, Japan, UK, Finland)

1.5 - 2.4 | 3 (Austria, Germany, Spain)

2.5 - 3.4 | 4 (Sweden, Denmark, Switzerland, France)

3.5 - 4.4 | 2 (Norway, Canada)

4.5 - 5.4 | 1 (US)

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True or false the following list of numbers is in ascending order 0.12, 0.106, 0.1, 0.07, 0.009

Answers

If it starts with 0.12 it is false.
But if it starts with 0.009 it is true.

No, The numbers are not in Ascending order.

What is Ascending order?

The numbers arrange in order to least to greatest number is called Ascending order.

Given that;

The number are arrange as,

⇒ 0.12, 0.106, 0.1, 0.07, 0.009

Now,

Since, The number are arrange as,

⇒ 0.12, 0.106, 0.1, 0.07, 0.009

Hence, We can say that,

⇒ 0.12 > 0.106 > 0.1 >  0.07 > 0.009

Clearly, The numbers are arrange form greatest to lowest numbers.

Hence, The number is arrange in Descending order.

Thus, The numbers are not in Ascending order.

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Wayne is using a waterproof covering to cover a storage locker that measures 4 ft wide, 10 ft tall, and 6 ft long. Which is the correct unit of measurement to use to figure out the amount of covering Wayne needs to cover the storage locker? A. ft² B. ft³ C. ft
PLEASE HURRY!!

Answers

Given the dimensions of locker box are length = 6 feet, width = 4 feet, and height = 10 feet.

Wayne wants to cover the box, so we need to find its total surface area. The box is in the shape of rectangular prism.

We know the formula for total surface area of rectangular prism is given as follows :-

[tex] Total \;Surface \;Area = 2*(lw + wh + hl) [/tex]

T.S.A. = 2·(6 x 4 + 4 x 10 + 10 x 6) = 2·(24 + 40 + 60) = 2·(124) = 248 feet²

Surface Area = 248 squared feet

To cover the locker with waterproof covering, we needed to find the surface area of the box. As we multiplied two dimensions at a time in the formula, so the units are "squared feet".

Hence, option A is correct i.e. squared feet or ft².

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