The blueprint for a circular gazebo has a scale of inches feet. The blueprint shows that the gazebo has a diameter of inches. What is the actual diameter of the gazebo? What is its area? Use 3.14 for .

Answers

Answer 1

The actual diameter of the gazebo is 16.8 feet and the area of the circular gazebo is approximately 221.71 square feet.

According to the given scale, 2 inches on the blueprint represents 6 feet in reality. Thus, to find the actual diameter of the gazebo, we can set up a proportion:

2 inches / 6 feet = 5.6 inches / x feet

Cross-multiplying, we get:

2 inches * x feet = 6 feet * 5.6 inches

x = (6 feet * 5.6 inches) / 2 inches

x = 16.8 feet

To find the area of the gazebo, we can use the formula for the area of a circle:

Area = πr²

Since the diameter is given, we can find the radius by dividing it by 2:

r = 16.8 feet / 2

r = 8.4 feet

Substituting the radius value into the formula for the area, we get:

Area = π(8.4 feet)²

Area ≈ 221.71 square feet

To learn more about scale click on,

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Complete question is:

The blueprint for a circular gazebo has a scale of 2 inches = 6 feet. The blueprint shows that the gazebo has a diameter of 5.6 inches. What is the actual diameter of the gazebo? What is its area? Use 3.14 for π.

Related Questions

What is the percentage of sugar in the syrup made of 10kg of water and 5kg of sugar? Hi and have a good day :D

Answers

Answer:

33.33%

Step-by-step explanation:

the syrup has a total of 15kg of ingredients, 5kg of it is sugar, so 15/5 which will end as 33.33%

Answer:

33.33%

Step-by-step explanation:

the syrup has a total of 15kg of ingredients, 5kg of it is sugar, so 15/5 which will end as 33.33%

please help.......................

Answers

Answer:

FD = 8

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{FD}{BA}[/tex] = [tex]\frac{FE}{BC}[/tex] , substitute values

[tex]\frac{x+3}{2x+2}[/tex] = [tex]\frac{16}{24}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

2(2x + 2) = 3(x + 3) ← distribute parenthesis on both sides

4x + 4 = 3x + 9 ( subtract 3x from both sides )

x + 4 = 9 ( subtract 4 from both sides )

x = 5

Thus

FD = x + 3 = 5 + 3 = 8

help plz i’ll give extra points

Answers

Answer:

Step-by-step explanation:

gradient of line 6x+2y+9=0

Answers

Answer:

gradient = - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c( m is the slope (gradient) and c the y- intercept )

Given

6x + 2y + 9 = 0 ( subtract 6x + 9 from both sides )

2y = - 6x - 9 ( divide the 3 terms by 2 )

y = - 3x - [tex]\frac{9}{2}[/tex] ← in slope- intercept form

with gradient m = - 3

if the measure of angle 1 = 17x - 30 and the measure of angle 2 = 7x + 18, what is the value of x?

Answers

Answer:

do you know the answer

The value of x is 4.8.

Given that,

The measure of angle 1 = 17x - 30 and the measure of angle 2 = 7x + 18.

Based on the above information, the calculation is as follows:

Angle 1 = ANgle 2

17x - 30 = 7x + 18

17x - 7x = 18 + 30

10x = 48

x = 4.8

Therefore we can conclude that the value of x is 4.8.

Learn more: brainly.com/question/6201432

Find the slope and initial value of the graph below. Then write the equation of the line. Write the equation of the line.

Answers

Answer:

y= x + 2

Hope this helps.

ans of this question
4 (3c+4d)

Answers

Answer: 12c+16d

Step-by-step explanation: 4(3c+4d)

(4)(3c+4d)

(4)(3c)+(4)(4d)

12c+16d

Answer:

Întâi faci paranteza și după de ie faci cu 4

y= 2/3 x +7
X= -4
please help me asap!

Answers

If you’re looking for the x and y intercept them y= 13/3 and x= -4

−4p+9=−5

Plzzzzzzz help

Answers

Answer:

p = 3.5 or p = 7/2

Step-by-step explanation:

-4p+9= -5

or, -4p = - 14

or, p = -14/-4

or, p = 7/2 = 3.5

Answer:

p = 3.5

Step-by-step explanation:

What you would do to get p is subtract 5 from both sides of the equation to leave the number and p, THEN divide both sides by the numerator of -4.

-4p + 9 = -5

- 9 -9

__________

-4p = -14

__ __

-4 -4

Thus, p = 3.5

2.
2.3*-1-3*
3*- 3x-1

Answers

Answer:

i got 27x-3.3 by simplifying

Step-by-step explanation:

plzzzzzzzzzzzzz help

Answers

Answer:

[tex]5*\frac{1}{2}[/tex]

Step-by-step explanation:

We have a picture and are being asked to identify the multiplication problem that represents it.

So we have 5 triangles, all of which are color-coded in red, but only half of them are filled. When multiplying, the number that is before the * sign is the amount there is, while the number that is after the * is the amount going to multiply the amount of items there are. So looking at the picture, we can see 5 triangles, therefore :

5 *

2 * 1/5 is scratched out as an answer. As is starts with 2.

As for the second number, we acknowledge that all triangles are half in red, therefore the number is 1/2.

5 * 1/2

Scratching all other answers.

SOMEONE ANSWER THESE ASAP

MARKING BRAINLIEST

PLEASE HELPPPPP

Answers

Sorry this took a while; calculated a lot of things.

Step-by-step explanation:

Combined:

2.67 times 23.76 = 63.4392

2.67 times - 21 and 5/6 = -58.295

63.4392 - 31.85 -58.295 = -26.7058

If you mean do both separate:

63.4392 - 31.85 = 31.5892

-58.295 - 31.85 = -90.145

Combined:

11 and 3/4 times 23.76 = 279.18

11 and 3/4 times 21 and 5/6 = 256.541666667

279.18 + 256.541666667 + 56 and 3/8 = 592.096666667

If you mean do both separate:

279.18 + 56 and 3/8 = 335.555

256.541666667 + 56 and 3/8 = 312.916666667

A nesting box for a falcon is put on top of a 96 ft pole. There are 3 ft in 1 yd.

Answers

Answer:

32 yards

Step-by-step explanation:

In ΔIJK, i = 74 inches, j = 23 inches and ∠K=20°. Find the area of ΔIJK, to the nearest square inch.

Answers

Answer:

291in^2

Step-by-step explanation:

Using the formula

Area of the triangle = 1/2absin theta

A = 1/2ijsin<K

Given

i = 74in

j = 23in

<K = 20 degrees

Area = 1/2 * 74*23sin20

Area = 37*23sin20

Area = 852sin20

Area = 291.059in^2

Hence the area of the triangle to nearest square inch is 291in^2

Danielle makes $5,000 per week as a surgeon. Soon she will receive a 15% raise. How much money will she make per week after this raise? $750 54.250 55.150 55.750 $7,500

Answers

Answer:

50000

Step-by-step explanation:

Answer:

$50,000 would be the answer

Step-by-step explanation:

A small plane flying from Los Angeles to San Diego averaged 175 mph with a tailwind. On the return trip with headwind the average speed was only 125 mph. Write and solve a system to reflect this relationship. Find the speed of the headwind/ tailwind AND the speed of the plane on a calm day.

Answers

Answer: System of equations:

p + w = 175

p - w = 125

p is the plane's speed, w is the wind speed

The wind speed is 25 mph. The plane's speed on a calm day is 150 mph.

Step-by-step explanation:

Solve by elimination: Add the equations. w "cancels" solve for p:

p + w = 175

p - w = 125

2p = 300 divide both sides by 2

p = 150 the plane's speed

Substitute 150 for p and solve for w

150 + w = 175 Subtract 150 from both sides.

w = 25 the wind speed

Jared made 12 3 fourhs cups of snack mix for a party his guests ate two thirds of the mix how much snack mix did his guests eat

Answers

Answer: Jared guests ate = 8 1/2 cups of the snack mix.

Step-by-step explanation:

Total snack mix made by Jared = 12 3/4 CUPS

Amount eaten by guests = 2/3 of Total snack mix

which means they ate = 2/ 3 x12 3/4

= 2/3 x 51/ 4

=17/2 = 8 1/2 cups of snack mix.

Jared guests ate 8 1/2 cups of the snack mix.

Write an expression for the perimeter of the triangle shown below:

Answers

Answer:

7.8x - 17

Step-by-step explanation:

1.8x - 7 + 1.8x - 7 + 3.4x - 3 now add like terms

(variables + variables and Coefficient + Coefficient) so the answer is

7.8x - 17

help help help help help help ill give brainiest

Answers

Answer:

wowee,,, i hope these are right :,)

Step-by-step explanation:

5/3-x+1/3 : -3/2+2+1/2x

3/5-13/5 = 6.9+4.9

3x+0 = 3x

2x-3 = x-3+x

2x-6 = -6+2x

ILL GIVE BRAINLIEST AND 10 POINTS

A rectangular prism has a length of 9 in., a width of 4 in., and a height of 112 in.

The prism is filled with cubes that have edge lengths of 12 in.

How many cubes are needed to fill the rectangular prism?

Answers

Answer:

432

Step-by-step explanation:

Rectangles Volume / Cubes Volume

9.4.3/2/1/2.1/2.1/2

54/1/8

54.8

432

PLZ HELP ME I NEED HELP ASAP

Answers

Answer:

75 I hope this helped and brainliest please!

Step-by-step explanation:

The equation for surface area for a square pyramid is A=a squared + 2a times the square root of (a squared over 4) + height squared. Since everything is 5 yd, the answer is 75.

Evaluate the expression. 6(3+5)/4

Answers

Answer:

Step-by-step explanation:

6(3+5)/4 add number inside parentheses

6(8)/4 multiply 6 and 8

48/4 divide

Hope this helped you!

y = 3x + 6
y = (x + 4)2 – 10

What’s the solution set for this

Answers

The answer is,

y = -18, x = -8

I need to write a word problem for this equation and I don't know how to get started. Help!!!! N + (n + 8) + 2n = 364

Answers

Answer:

n = 89

Step-by-step explanation:

Ok so,

n + (n+8) + 2n =364

n+n+8+2n = 364

4n + 8 = 364

4n = 356

n = 89

I checked it...its right

if you have any questions please ask me

hope this helps. have a good day :)!!

if a function f(x)=x^3 has the domain {-3,0,2,4} what is it's range

Answers

27, 0, 8, 64
All u need to do is cube all the numbers in the domain

Step-by-step explanation:

Range is y-values

= {-27,0,8,64}

-6 x (-8) =
What is this answer I am stuck on it?

Answers

Answer:

It is 48

Step-by-step explanation:

Since the negative signs cancel out it is positive and 6 times 8 is 48.

HOPE THIS HELPS!

This is the answer x=48

Bethany uses the equation d = 4.25h to find the distance, d, she travels while walking for h number of hours. What is the constant of proportionality between d and h?

Answers

Answer:

4.25

Step-by-step explanation:

The distance Bethany travels is directly proportional to the number of hours she spends working

The formula for direct proportion is :

y = kx

Where k is a constant

in this question, the constant is given by 4.25

Concept Check: Sketch each angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, that are coterminal with the given angle. Give the quadrant of each angle, if applicable.

75°

174°

300°

-61°

-90°

Answers

Step-by-step explanation:

...............

......

How many square feet of outdoor carpet will we need

Answers

8 square feet will be needed. 3x2= 6 + 2x1= 2= 8 square feet

Petrol is poured into a barrel.
The graph shows the number of litres of petrol in the barrel.
Calculate how much petrol is being poured into the barrel each minute.

Answers

“How much petrol is being poured each minute” is another way of saying slope. Slope is liters/minute, or rise over run.

It rises 140, and goes over 10.

140/10

= 14 liters per minute,

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The blueprint for a circular gazebo has a scale of inches feet. The blueprint shows that the gazebo has a diameter of inches. What is the actual diameter of the​ gazebo? What is its​ area? Use 3.14 for .

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The blueprint for a circular gazebo has a scale of inches feet. The blueprint shows that the gazebo has a diameter of inches. What is the actual diameter of the gazebo? What is its area? Use 3.14 for .