a cone is created by rotating an isosceles right triangle with leg length 2 about one of its legs. its surface area is $\pi$ times what number?

Answers

Answer 1

The surface area is [tex]4\sqrt{2} \pi[/tex] units.

This problem is related to the triangle and solid figures.

If we rotate a triangle alongside one of its legs then it's going to shape a cone and the radius of the cone might be the duration of the bottom of the triangle and the hypotenuse of the triangle may be the slant peak of the cone.

The period of the the triangle legs is given to be 2 units.

Length of the hypotenuse=[tex]\sqrt{2^{2} +2^{2} }[/tex]

                                        = [tex]2\sqrt{2}[/tex] units.

Now the area of the cone is given by [tex]\pi rl[/tex] where r is the radius of the cone and l is the slant height of the cone.

Surface area of cone = [tex]\pi *2*2\sqrt{2}[/tex]

                                  = [tex]4\sqrt{2} \pi[/tex] units

So, the surface area of cone is [tex]4\sqrt{2} \pi[/tex] units.

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Related Questions

How do i resolve this? like im so confused ​

Answers

Answer: its C)

Step-by-step explanation:

Hello it's me again lol such a small world isn't it ?

by the way I don't know Spanish so would translate the question for me to solve it please ?

I’m not really sure what to choose..

Answers

Answer:

i think it would be SAS, sorry if I'm wrong!

Step-by-step explanation:

9514 1404 393

Answer:

  SAS

Step-by-step explanation:

The hash marks on the segments of the triangle indicate congruence. The "one hash mark" segments are congruent to each other, and the "two hash marks" segments are congruent to each other. That is, two corresponding sides are marked congruent.

Similarly, the arc on the angle indicates the angle is congruent to one with a similar mark. We notice that the marked angle is between the sides that have hash marks. So, we have, in order around the triangle, congruent Sides, Angles, Sides. The appropriate choice is ...

  SAS

A pool gained 10 gallons of water on Friday due to rain. How could the owner of the pool bring the water level back to its previous level? Select all that apply. Let 10 gallons of water evaporate. Add 10 gallons of water with a hose. Increase the amount of water by 10 gallons due to rain. Let her kids play in the pool and splash out 10 gallons of water. Drain 10 gallons of water from the pool. Fill 10 old milk gallons with water and dump them into the pool.​

Answers

Answer

Let her kids play in the poop and splash out 10 gallons or Drain 10 gallons of water from the pool.

Hope this helped!!

Step-by-step explanation:

True or false The opposite of a number is always positive

Answers

false because if the number was positive the opposite of that would be negative

Answer:

Be specific about which number you are trying to say. if it's positive or negative.

Step-by-step explanation:

Positive numbers are numbers that are greater than 0. Negative numbers are numbers that are less than 0. The opposite of a positive number is negative, and the opposite of a negative number is positive.

a bus is traveling at a velocity of 25 m/s straight south what effect will an acceleration of 4m/s2 north have on a bus

Answers

Answer:

The acceleration will cause the bus to travel for 6.25secs

Step-by-step explanation:

For us to get the effect the acceleration  will have on the bus, we need to calculate the time taken by the bus to travel.

Using the acceleration formula;

Acceleration = Velocity/Time

Given

Acceleration = 4m/s²

Velocity = 25m/s

Required

Time

From the formula;

Time = Velocity/acceleration

Time = 25/4

Time = 6.25secs

Hence the acceleration will cause the bus to travel for 6.25secs

Determine the intercepts of the line

Answers

Answer:

Step-by-step explanation:

y-intercept: (0 , 2.5)

x-intercept: (3.5 , 0)

helpp please!

How much would the painting company charge to paint a house that needs 20 hours of labor?

Answers

roughly 1500 dollars.

what is 4h-8h in like terms and terms and identify expression

Answers

Answer:

4h

Step-by-step explanation:

Expression: 4h-8h=4h

Because both 4h and 8h end in the same variable they can be subtracted when you subtract 4 and 8 you get 4. and You can't forget your variable so you end with 4h

Your expression is a group of terms without an equal sign. 4h and 8h are your terms as well as your answer.

Your expression ends as 4h-8h=4h

The formula to determine the period of one swing of a simple pendulum is T=2\pi\sqrt{\frac{L}{g}},T=2π g L ​ ​ , where LL is the length of the string and gg is the acceleration due to gravity. Solve the formula to solve for LL in terms of \pi,π, TT and g.G.

Answers

Answer:

L = (T² × g) / 4π²

Step-by-step explanation:

T = 2π√L/g

Where,

L = length of the string

g = acceleration due to gravity

T = 2π√L/g

square both sides of the equation to eliminate the square root

T² = (2π)²√(L/g)²

T² = (2π)²(L/g)

(2π)²

= 2π × 2π

= 4π²

T² = 4π²(L/g)

Multiply both sides by g

T² × g = 4π²(L/g) × g

T² × g = 4π²L

Divide both sides by 4π² to get L

L = (T² × g) / 4π²

How many different axes of symmetry does this parallelogram have?
A. 0
B. 1
C. 2
D. 4

Answers

Answer:

B. 1

Step-by-step explanation:

Given parallelogram has only one axis of symmetry.

(pre-calc) Use Limit Laws to determine the limit of a(n). It is not -∞, so what answer is it and why?

Answers

The limit of the function as the variable n tends to minus infinity is -1

Limit of a function

Given the limit of a function expressed according to the equation;

a(n) = 6n²-n-3n³/3n³+n-1

The value of the function if n tends to minus infinity is expressed as show:

a(n) = 6n²-n-3n³/3n³+n-1

Divide both all the terms by

a(n) = 6n²/n³-n/n³-3n³/n³/3n³/n³+n/n³-1/n³

a(n) = 6/n-1/n²-3/(3+1/n²-1/n³)

a(n) = 6/-∞ - 1/(-∞)²-3/(3+1/(-∞)²-1/(-∞)³)

a(n) = -3/3

a(n) = -1

Hence the limit of the function as the variable n tends to minus infinity is -1

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Graph the line passing through the given point and having the given slope.
(1,-1), m= - 3/4

Answers

Answer: y=-3x/4 -1/4

Step-by-step explanation:

y=mx+b

-1=-3/4 * 1 +b

-1=-3/4 + b

(-1=-3/4 + b)*4

-4=-3+4b

4b=-1

b=-1/4

y=-3x/4 -1/4

The range of a function is called the dependent variable or the output of the function


True False

Answers

True Becuse the function is a variable

Using the picture below find the area of the trapezoid ?

Answers

Answer:

(a) 8x-16 [tex]cm^2[/tex]

Step-by-step explanation:

From the given figure of trapezoid:

Height, h=8 cm

Bases, [tex]b_1=(x-6)cm \; and \; b_2=(x+2)cm[/tex].

Area of the trapezoid,

[tex]A=\frac 1 2 h (b_1 + b_2) \\\\=\frac 1` 2 \times 8 ( x-6+x+2) \\\\=4(2x-4) \\\\[/tex]

[tex]=8x-16 cm^2[/tex]

Hence, option (a) is correct.

Layton conducts an experiment throughout the school year to determine the most common answer
choice used by teachers at his school. The data he collected is shown in the table.

Which of the following is a valid conclusion based on the data he collected?
A. A student would be equally likely to select answer choice C as they would to select answer
choice A and D

B. A student would be equally likely to select answer choice A and B as they would to select
answer choice C

C. A student would be twice as likely to select answer choice C than answer choice A

D. A student would be less likely to select answer choice B than answer choice A

Answers

Answer:

pick a because the data is better for that chart

please help quickly it is due today

Answers

6p-12+4p= 10p-12
Sry if it’s not right but I’m pretty sure it would be this
first you would distribute.

you distribute the 2

so it’d be 2x3p which is 6p

then 2x-6 which is -12

put the 4p on

so it’d be 6p-12+4p

combine the like terms.

because 6p and 4p have the same variable (the letter p) they are like terms

6p+4p= 10p

final answer: 10p-12

hope this helps

11. Albert is selling cupcakes at a fund-raiser for a charity. He made 160 cupcakes and
spent $120 on ingredients and baking supplies. He sold all the cupcakes for $480.
Select all the statements that are true.
A. Albert sold each cupcake for $3.
B. Albert sold each cupcake for $4.
C. Albert spent $3 on each cupcake.
D. Albert spent $0.75 on each cupcake.
E. Albert earned a profit of $3 on each cupcake sold.
F. Albert earned a profit of $2.25 on each cupcake sold.

Answers

Answer:

a  c e

Step-by-step explanation:

Brainliest Please?

The shape is composed of three squares and two semicircles.Select all the expressions that correctly calculate the perimeter of the shape

Answers

Answer:

100+20π

Step-by-step explanation:

Find the diagram attached.

Perimeter of a square =4L

L is the side length of a square

From the diagram;

L = 10

Perimeter of a square = 4(10) = 40

Perimeter of 3 squares = 3(40) = 120

2 semi circle = a circle

Perimeter of a circle= 2πr

radius of the Circle = length of a side of the square.

Area of the circle = 2π(10)= 20π

Perimeter of the shape = Perimeter of the two semicircle + area of the 4squares = 100+20π

What is the prime factorization of 72?
O2-2-3-3-3
O2-2-2-3.3
O2-2-2-3
O2-2-2-5

Answers

Answer:

2 * 2 * 2*3*3

Step-by-step explanation:

To get the prime factorization of 72, break 72 down into primes

72 = 9*8

Both 9 and 8 are not prime, so break 9 and 8 down

    = 3*3  * 4*2

4 is not prime so break 4 down

    = 3 * 3 * 2 * 2 * 2

What is the result of 3.94 x 1,000? O 3.94 O 39.4 O 394 O 3,940​

Answers

Answer:

3940 is the correct answer

I want to record some programmes over Christmas. I have 5 hours of space left on my TV recording box. The programmes I want to record are as follows:
Two Ronnies Christmas Special: 1 hour 30 mins
All Creatures Great and Small Christmas Special: 1 hour 45 mins
Die Hard 2: 1 hour 55 mins
How many minutes will I miss because the space ran out

Answers

Answer:

10 minutes.

Step-by-step explanation:

5 hours = 300 minutes

90 minutes + 105 minutes + 115 minutes = 310 minutes of programmes.

310-300 = 10 leftover minutes missed

Please Help me!


At the market, a farmer is selling carrots and potatoes by the pound. The table below shows the amount of each (in pounds) purchased by two customers and the total amount paid (in dollars).

Answers

Based on the table on the amount of carrots and potatoes purchased, the cost of each pound of carrots and potatoes are Cost per pound of carrots: $1.50 and per pound of potatoes: $2.00

What is the cost?

As you have been given options, you can use the prices in the options to see which price tallies with the total amount that each customer paid.

If you checked all the options, you would find the correct option is the correct option.

The first customer would pay:

= (4 x 1.50) + (6 x 2)

= $18

The second customer:

= (2  x 1.50) + (2 x 9)

= $21

These tally with the amounts paid by the customers so they are the prices of the unit pound of carrots and potatoes.

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pennsylvania sales tax is charged at the rate of 6%. Find the tax and the total price you would pay for an $860 TV

Answers

The sales tax will be $51.6, bringing the total cost of $860 TV to $911.6.

What do we mean by sales tax?A sales tax is a tax levied on the sale of certain goods and services and paid to a governing body. Generally, laws allow the seller to collect tax funds from the consumer at the point of purchase.A use tax is a tax on goods or services that is paid directly to a governing body by a consumer. Food, education, and medicines, for example, are frequently exempt from sales and use tax under state law. A value-added tax (VAT) on goods and services is similar to a sales tax. Key differences can be found in the comparison with sales tax.

So, to find the sales tax we need to find out the 6% of $860.

= 860/100 × 6= 8.60 × 6= 51.6So, the total price will be 860 + 51.6 = $911.6

Therefore, the sales tax will be $51.6 and the total price we would pay for an $860 TV will be $911.6.

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What is the remainder R when the polynomial p(x) is divided by (x -1)?
P(x) = 2x3 + x2 - 2x - 1

Answers

Answer:

The remainder is 0

Step-by-step explanation:

Using the remainder theorem,plug in the zeros of the factor into the polynomial.

The zeros of the factor—›x-1=0,x=1

Plugging 1 into the polynomial

P(1)=2(1)³+(1)²-2(1)-1=0

The answer to this question is

-6

Find the greatest factor of 12 and 32

Answers

Answer:

the greatest common factor of 12 and 32 is 4

pls help me and i mark u as brainlist

Answers

Answer:

the fourth one, H

2900 dollars is placed in an account with an annual interest rate of 9%. How much will be in the account after 13 years, to the nearest cent?

Answers

Answer:

$8,890.83

Step-by-step explanation:

To find the answer we have to use this equation:

[tex]A = P(1 + r)^t[/tex]

A = The total amount

P = The initial amount

R = The interest rate

T = Time

Given in the question:

A = ?

P = 2,900

R = .09

T = 13

Plug it into the equation and solve:

[tex]A = 2900(1 + .09)^1^3\\A = 2900(1.09)^1^3\\A = 2900(3.065804612)\\A = 8890.83[/tex]

Therefore, after 13 years there will be $8,890.83 in the account.

I hope this helps!!

- Kay :)

I need to know the answer to this question?!

Answers

Answer:

Answer is C

Step-by-step explanation:

You divide fractions by multiplying with the inverse

[tex]\frac{-3}{8}\\[/tex] * [tex]\frac{9}{5}[/tex]  = [tex]\frac{-27}{40}[/tex]

Please help me out! Hope you are having a good day

Answers

Answer:

Fraction: x= 5/6 Decimal: x= 0.83

Convert the percentage into a fraction.
3%

Answers

Answer:

3/100

Step-by-step explanation:

since every percent is out of 100 if you put into fraction form 3% would turn into 3/100

Answer:

3/100

Step-by-step explanation:

Since its a percentage, it's out of 100!! So, 3 out of 100 is simply 3/100. This one was easier and doesn't provide a large explanation, but I hope this helped!! I'm here if you need any more answers!! :)

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