Type the correct answer in the box. Use numerals instead of words. 5 The surface area of a cone is 2167 square units. The height of the cone is 3 times greater than the radius. What is the length of the radius of the cone to the nearest foot? The radius is about ___ feet.​

Answers

Answer 1

The surface area of the cone is the amount of space on it, the radius of the cone is about 13 feet

How to determine the radius?

The given parameters are:

Surface Area, A = 2167Height (h) = 3 * radius (r)

The surface area is calculated using:

[tex]A =\pi r(r + \sqrt{h^2 + r^2})[/tex]

So, we have:

[tex]A =\pi r(r + \sqrt{(3r)^2 + r^2})[/tex]

Substitute 2167 for A

[tex]2167 =\pi r(r + \sqrt{(3r)^2 + r^2})[/tex]

Evaluate the sum

[tex]2167 =\pi r(r + \sqrt{10r^2})[/tex]

Divide both sides by [tex]\pi[/tex]

[tex]689.78 =r(r + \sqrt{10r^2})[/tex]

Evaluate the exponent

[tex]689.78 =r(r + 3.16r)[/tex]

Evaluate the sum

689.78 =r(4.16r)

Open the bracket

689.78 = 4.16r²

Divide both sides by 4.15

r² =165.8125

Take the square root of both sides

r = 13 (approximated)

Hence, the radius of the cone is about 13 feet


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Related Questions

WILL MARK AS BRAINIEST
14
43
Use a unit multiplier to convert 965 centimeters to meters.
a

Answers

Answer:

9.65 meters

Step-by-step explanation:

965 cm * 1 m / 100 cm = 9.65 m

Answer:

by multiplying the numbers

10 in
12 in
6 in
8 in
Surface Area =
I need the surface area

Answers

Answer: the answer is 312in

hhhhhhhhhhhhhhhhhhhhh

Answers

Answer:it should be b!

Step-by-step explanation:

I’m pretty sure I had the question before

8 sandwiches cost £18.40
Find the cost of 5 sandwiches.

Answers

Answer:

11.5

because

8 18.40

5 ?

5×18.40=92

92÷8=11.5

Answer:

£11.50

Step-by-step explanation:

Well to solve this equation you must divide the total cost of the 8 sandwhiches by 18.40

18.40 divided by 8 is 2.30

So that means the cost per sandwhich is £2.30

Then all you have to do is multiply 2.30 by 5

2.30 divided by 5 is 11.50

So the cost of 5 sandwiches would be £11.50

volume of a l=10 x w=10 x h=8in triangular prism

Answers

400 i hope this helps 1/2x w x l x h

help me with this algebra equation

Answers

I think it might be C icould be wrong

Answer:

it's D

Step-by-step explanation:

it's d because i guessed it was

What is 8C6?
O A. 10
O B. 28
O C. 14
O D. 35

Answers

Answer: B

Step-by-step explanation:

2yx^0/x^4

Simplify. I give Brainliest,.

Answers

Answer:

2y/x^4

Step-by-step explanation:

Apply the exponent rule: a^0 = 1, assuming a [tex]\neq[/tex] 0

Hence,

x^0 = 1

2y * 1/x^4

Multiply 2 and 1

2*1 = 2

= 2y/x^4


What is the value of c? Round to the nearest tenth.

Answers

Answer:

30%

Step-by-step explanation:

four plastic bottles, each with a radius of 2 inches, are packed into a cardboard box. The glasses touch each other and the sides of the box. What is the area of the bottom of the box? (The area of a circle is equal to pi times radius squared)

Answers

The area of a 2D form is the amount of space within its perimeter. The area of the bottom of the box is 64 square inches.

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or other quadrilateral, multiply its length by its width.

Given the radius of the base of the plastic bottle is 2 inches, and there are four bottles arranged as shown below, therefore, the area of the bottom of the box is,

[tex]\rm \text{Area of the bottom of the box} = 8 \times 8 = 64\ in^2[/tex]

Hence, the area of the bottom of the box is 64 square inches.

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Find the value of "x" in x² -2 = 47

Thanks :)​

Answers

[tex]~~~~~x^2 -2 = 47\\\\\implies x^2 = 47 +2 \\\\\implies x^2 = 49\\\\\implies x = \pm\sqrt{49}\\\\\implies x = \pm 7\\\\\text{Hence, }~ x = 7,~~ x = -7[/tex]

Find the area of the circles.

Answers

Answer:

200.96 square units

Step-by-step explanation:

 d = 16

r = diameter ÷ 2 = 16 ÷ 2

r = 8

  [tex]\boxed{Area \ of \ circle = \pi r^2}[/tex]

                           = 3.14 * 8* 8

                           = 200.96 square units

Answer:

See Explanation!

Step-by-step explanation:

Brief History:

While a circle, symbolically, represents many different things to many different groups of people including concepts such as eternity, timelessness, and totality, a circle by definition is a simple closed shape. It is a set of all points in a plane that are equidistant from a given point, called the center. It can also be defined as a curve traced by a point where the distance from a given point remains constant as the point moves. The distance between any point of a circle and the center of a circle is called its radius, while the diameter of a circle is defined as the largest distance between any two points on a circle. Essentially, the diameter is twice the radius, as the largest distance between two points on a circle has to be a line segment through the center of a circle. The circumference of a circle can be defined as the distance around the circle, or the length of a circuit along the circle. All of these values are related through the mathematical constant π, or pi, which is the ratio of a circle's circumference to its diameter, and is approximately 3.14159. π is an irrational number meaning that it cannot be expressed exactly as a fraction (though it is often approximated as 22/7) and its decimal representation never ends or has a permanent repeating pattern. It is also a transcendental number, meaning that it is not the root of any non-zero, polynomial that has rational coefficients. Interestingly, the proof by Ferdinand von Lindemann in 1880 that π is transcendental finally put an end to the millennia-old quest that began with ancient geometers of "squaring the circle." This involved attempting to construct a square with the same area as a given circle within a finite number of steps, only using a compass and straightedge. While it is now known that this is impossible, and imagining the ardent efforts of flustered ancient geometers attempting the impossible by candlelight might evoke a ludicrous image, it is important to remember that it is thanks to people like these that so many mathematical concepts are well defined today.

Solution: (Circle 1)

⇒ Given :

Radius is 5Diameter is 10 (Can be known by adding the radius together.)

Using the formulas

[tex]A=\pi r^{2} \\d=2r[/tex]

Solving for [tex]A[/tex]

[tex]A=\frac{1}{4} \pi d^{2} =\frac{1}{4} *\pi *10^{2}[/tex] ≈ [tex]78.53982[/tex]

[tex]A[/tex] ≈ [tex]78.54...rounded[/tex]

Solution: (Circle 2)

⇒ Given :

Diameter is 16 Radius is 8

Using the formulas

[tex]A=\pi r^{2} \\\d=2r[/tex]

Solving for [tex]A[/tex]

[tex]A=\frac{1}{4} \pi d^{2} *\pi *16^{2}[/tex] ≈ [tex]201.06193[/tex]

[tex]A[/tex] ≈ [tex]201.06...rounded[/tex]

Tomic and Brooke make a game of shooting free throws. Each basket is worth 212 points. Each miss is worth −34 points. Out of 30 free throws, they make 16 baskets. What is the correct number of points that Tomic and Brooke scored?

Answers

29.5 each is worth 2.5

Answerfdf:d

fd

dffdfsd

The formula for the area of a triangle is bh=A. Which of the following is not a possible first step to
rearrange this formula to find the base of the triangle?

Answers

Answer:

h = A ÷ b

Step-by-step explanation:

The base is to be the subject of formula not height so dividing through the equation by b to give h = A ÷ B is not a possible first step

What is the slope below?? Please answer quickly! Due tonight.

Answers

1.25 is the slope 5/4 rise over run

1. Reflect triangle A across the line x = 2.
2. Write a single rule that reflects triangle A across the line x = 2.
PLEASE HELP
I only have till tomorrow midnight to turn this in

Answers

Draw a perpendicular at x=2

Now reflect each coordinates across there

(2,2)

Will remain same as x=2 is on Q1 positive side

(8,4)

x coordinate=2-8=-6y coordinate=4(same)

New coordinate (-6,4)

(6,8)

x coordinate=2-6=-4 y coordinate is same

New coordinate

(-4,8)

Answer:

Rule:  Reflect the figure across the y-axis then translate the reflected figure 4 units to the right.

Step-by-step explanation:

Part 1

Points of Figure A:

(2, 2)

(8, 4)

(6, 8)

Draw a line at x = 2, then reflect each point across the line

(2, 2) → (2, 2)

(8, 4) → (-4, 4)

(6, 8) → (-2, 8)

Part 2

Reflection in the y-axis:  (x, y) → (-x, y)

As the y-values of our two figures have not changed, the first part of the rule is: reflect across the y-axis

If we reflect the figure across the y-axis, the points of the reflected figure are:

(-2, 2)

(-8, 4)

(-6, 8)

To bring the reflected figure back to where we want it (reflection in x = 2) we need to translate the figure 4 units to the right:

(-2 + 4, 2) = (2, 2)

(-8 + 4, 4) = (-4, 2)

(-6 + 4, 8) = (-2, 8)

So the final rule is:

Reflect the figure across the y-axis then translate the reflected figure 4 units to the right.

The length of the hypotenuse of a 30°–60°–90° triangle is 13. Find the perimeter.

Answers

Answer:

The hypotenuse is 12 so the other side lengths are 6 and 6sqrt(3). Therefore the perimeter is 18 + 6sqrt(3). i hope it helps if not im glad to help step by step

Step-by-step explanation:

The two dot plots show the number of goals per game. The data for each is taken from a random sample within a soccer league over a 1-month period. Complete the statements below. Goals Scored in English League A dot plot.

Answers

Answer:

first blank is 3

second blank is 2.5

last blank is 0.5

Step-by-step explanation:

Answer: Look at the attachment

3

2.5

0.5

Step-by-step explanation:

Share what you already know about third grade math.

Answers

Answer:

6×6=36

Step-by-step explanation:

2×3=5

6×10=60

50×10=50

Which of the following risk factors should be considered when choosing a form of investment for your money? Select all that apply.

interest rate
rate of Return
risk
term of investment

Answers

The risk factors should be considered when choosing a form of investment for your money is: interest rate and risk

What is investment?

Investment or investing means that an asset is bought, or that money is put into a bank to get a future interest from it.

While making an investment the investment consider:

Rate of inflation, it affects the value of the return.Investment History, it indicates the level of risk. Interest rate, it will show the real profit to be made.level of risk because if it is high, the potential loss will be higher.

So, The risk factors should be considered when choosing a form of investment for your money is: interest rate and risk

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the price of a video game was reduced from 65 to 45.50. by what percent was the price of the video games reduced

Answers

Can I have brainliest I got the answer. 30%

How much time will it take for an object to move 9 meters, if it moves 2 m/s? show your solution

Answers

Step-by-step explanation:

How much time will it take for an object to move 9 meters, if it moves 2 m/s?

How do you find the speed of a falling object?

Calculate the final free fall speed (just before hitting the ground) with the formula v = g*t = 9.80665 * 8 = 78.45 m/s. Find the distance traveled by the falling object, using the equation s = 0.5 * g * t^2 = 0.5 * 9.80665 * 8^2 = 313.8 m.

Answer:

4.5

Step-by-step explanation:

4.5 x 2 = 9

very simple

Which type of function is shown in the table below?

Answers

Answer:

 Exponential

Mark brainliest :)

At a real estate agency, an agent sold a house for $382,000. The commission
rate is 5.5% for the real estate agency. The commission for the agent is 30%
of the amount the real estate agency gets.

Answers

Answer:

403010

Step-by-step explanation:

Because the rate is increasead and 30% is used as well as 5.5% and the restate agency gets $383,000

If [tex]f(x)=[[x+2]][/tex] find [tex]f(1.5)[/tex]
Please Explain Answer Please. Thank you!

Answers

Answer:

f ( 1.5 ) = 1.5 + 2 = 3.5

If in the case you need any other help , let me know. [ You need to pay me] :) Thanks!

Answer: ⇒ 3.5

Step-by-step explanation:

⇒ f(1.5) = 1.5 + 2

⇒ f(1.5) = 3.5

The coordinates of point R are (−3, 2), and the coordinates of point T are (4, 1). What is the length of RT?

Answers

Answer: [tex]d=\sqrt{50}, 5\sqrt{2}, \,\text{or about}\;7.1[/tex]

Step-by-step explanation:

      We can use the distance formula to solve.

[tex]\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}[/tex]

[tex]\displaystyle d=\sqrt{(4--3)^2 +(1-2)^2}[/tex]

[tex]\displaystyle d=\sqrt{(4+3)^2 +(1-2)^2}[/tex]

[tex]\displaystyle d=\sqrt{(7)^2 +(-1)^2}[/tex]

[tex]\displaystyle d=\sqrt{49+1}[/tex]

[tex]\displaystyle d=\sqrt{50}[/tex]

d ≈ 7.1

The selling price of an item is ​$720. It is marked down by ​30%, but this sale price is still marked up from the cost of ​$420. Find the markup from cost to sale price. Please help!

Answers

Answer:

20%

Step-by-step explanation:

old selling price = $720

new selling price = 720 x (1 - 30%) = 720 x 70% = $504

cost = $420

markup = (504 - 420)/ 420 = 84/420 = 20%

6 Three of the ten people in the Latin club are chosen at random to represent the club at a tournament. What is the probability that Joseph, Heidi, and Katy are chosen?​

Answers

The probability that Joseph, Heidi, and Katy are chosen is 1/40 if three of the ten people in the Latin club are chosen at random to represent the club at a tournament option (G) is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

Total ways of choosing 3 out of 10 = C(10, 3) = 120

Total outcomes = 120

Total favorable outcomes = 3(Joseph, Heidi, and Katy)

Probability = 3/120 = 1/40

Thus, the probability that Joseph, Heidi, and Katy are chosen is 1/40 if three of the ten people in the Latin club are chosen at random to represent the club at a tournament option (G) is correct.

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a 3. A card is pulled from a standard deck of cards.
Can you find P(queen or hearts)? (make sure you aren't double counting!!!)

Answers

Answer:

row 4 answer 6 i just took the quiz


Toni bought these items for
an art project. The sales tax
is 8.5%. What is the total cost including tax, rounded to the nearest cent?

Answers

Answer: D, 43.38

Step-by-step explanation:

add all of the items up and then divide by sales tax percent. then add up the original number by the sales tax amount

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