An open cone has a slant height of 5m and a curved surface area of 251, Find the radius of the circular base.What is the answer:18 16

Answers

Answer 1

Answer:

Radius of the cone = 16 m

Step-by-step explanation:

Slant height of the cone 'l' = 5 m

Curved surface area of the cone is represented by the formula,

Curved surface area = πrl

Here r = radius of the circular base of the cone

l = slant height of the cone

By putting the values in the formula,

251 = πrl

251 = πr(5)

r = [tex]\frac{251}{5\pi}[/tex]

r = 15.979

r ≈ 16 m

Therefore, radius of the given cone will be 16 m.


Related Questions

Frank is detoxing and is wanting to drink one gallon of water a day. There are 128 ounces in a gallon. Frank has already drank four 16 ounce cups of water. First, how many ounces of water has Frank drank and second how many more ounces of water does Frank have to drink?

Answers

Answer:

frank drank 0.125us gallons= 16 ounces, he has 0.875 us gallons= 112 ounces

Step-by-step explanation:

since 16 oz (which frank drank) = 0.125 gal, 1 gal - 0.125 = 0.875 gal which = 112 oz

Ratio and Proportion problem
Please help meh​

Answers

Answer:

hope its helpful to uh.......

In the parallelogram below,
z = [ ?

Answers

Answer : z = 20

Explanation:
2z+16 + 124 = 180 degree
2z + 140 = 180
2z = 40
z = 40/2 = 20

can someone help me with this question please.

Answers

Answer:

a) 280°

b) Ans - (D) P is North East of Q

FUNCTIONS HELP ME ASAP

Answers

Hey there! :)

Answer:

f(-2) = 2.

Step-by-step explanation:

To find f(-2), we simply need to look at the y value at x = -2.

At x = -2, the y value is equal to 2.

Therefore:

f(-2) = 2.

Answer: b)2

Step-by-step explanation:

Visually, when x = -2, y = 2

The price of a watch was increased by 7% to £1350. What was the price before the increase? Give your answer to the nearest penny.

Answers

Answer:

1261.68

Step-by-step explanation:

1350 = the increased watch price= 107% of the original

1350= 1.07x

1261.68224299

Check:

7% of 1261.68224299 is 88.317757

1261.68224299 + 88.317757 = 1349.9 = 1350

Round:

1261.68224299  

To the penny= to the hundreth= 1261.68

Make a copy of this document for yourself. Solve each problem. Remember to combine like terms and use inverse operations when necessary. Get the variable by itself.


Answers

Answer:

the answer is 5.

given, 2c-7c+8=-17

or, -5c=-17-5

or, c=-25/-5

therefore the value of c is 5...

Answer:c = 5

Step-by-step explanation:

[tex]2c -7c +8 =-17\\Collect- like- terms\\2c-7c=-17-8\\Simplify\\-5c = -25\\Divide-both-sides-of-the-equation-by -5\\\frac{-5c}{-5} = \frac{-25}{-5} \\\\c = 5[/tex]

Find the equation of the plane passing through the points
(-1,1,-4) and is perpendicular to each of the planes
-2x+y+z+2=0;x+y-3z+1=0​

Answers

Extract the normal vectors from the given planes:

[tex]-2x+y+z+2=0\implies\vec n_1=(-2,1,1)[/tex]

[tex]x+y-3z+1=0\implies\vec n_2=(1,1,-3)[/tex]

(which are unique up to their signs, meaning either [tex]\vec n_1[/tex] or [tex]-\vec n_1[/tex] are valid choices for the normal vector)

The third plane must be perpendicular to both these given planes, which means it would be parallel to both [tex]\vec n_1[/tex] and [tex]\vec n_2[/tex], which in turn means its own normal vector [tex]\vec n_3[/tex] should be perpendicular to both [tex]\vec n_1[/tex] and [tex]\vec n_2[/tex].

Enter the cross product:

[tex]\vec n_3=\vec n_1\times\vec n_2=(-4,-5,-3)[/tex]

or (4, 5, 3), which also works.

The given plane passes through (-1, 1, 4), so its equation is

[tex](x+1,y-1,z-4)\cdot\vec n_3=0[/tex]

Simplify:

[tex](x+1,y-1,z-4)\cdot(4,5,3)=0[/tex]

[tex]4(x+1)+5(y-1)+3(z-4)=0[/tex]

[tex]\boxed{4x+5y+3z=13}[/tex]

Complete the table of values for y = 3x - 2
Table
x: -1, 0, 1, 2
y:

Answers

Answer:

y= -5

y= -2

y= 1

y= 4

Step-by-step explanation:

plug in the values of x into the equation

The values of 'y' for the given values of [tex]x = - 1, 0, 1, 2[/tex] are [tex]- 5, - 2, 1, 4[/tex] respectively.

What is a linear equation?

A linear equation is an equation that has one or multiple variables with the degree of the polynomial is 1.

The given linear equation is

[tex]y = 3x - 2[/tex]

The given values of [tex]x = - 1, 0, 1, 2[/tex].

For [tex]x = - 1, y = 3(- 1) - 2 = - 5[/tex]

For [tex]x = 0, y = 3(0) - 2 = - 2[/tex]

For [tex]x = 1, y = 3( 1) - 2 = 1[/tex]

For [tex]x = 2, y = 3(2) - 2 = 4[/tex]

Therefore, the table will be:

   x        y

 - 1      - 5

   0     - 2

   1        1

   2       4

Learn more about linear equation here: https://brainly.com/question/17034467

#SPJ3

What is "5t + 76" if t = 6?​

Answers

Answer:

106

Step-by-step explanation:

given: 5t + 76

If t = 6, we substitute t=6 into the equation and solve:

5t + 76

= 5(6) + 76

= 30 + 76

= 106

Hi there! Hopefully this helps!

---------------------------------------------------------------------------------------------------

Answer: 106.

First, we need to evaluate.

(Note: when a letter and a number are close to together [5t] it means to multiply)

So if "t" = 6 we rewrite the problem like this:

5(6) + 76.

5 x 6 = 30.

Now we rewrite the problem again.

30 + 76 = 106.

help i must get this correct i will make u brainllest
plzzz anyone

Answers

Answer:

22

Step-by-step explanation:

x-1 is a midsegment.

According to the Triangle midsegment theorem, x-1 is half of the third side (42)

x-1 = 42/2

x-1 = 21

x= 22

or

2x-2=42

2x=44

x=22

Hope this helps!

If you look at the top sides and bottom sides of both figures, this means that they are the same or similar.

In this figure, they are similar because one side is half of the other.

So... divide the longer length in half and solve for x.

42 / 2 = 21

x - 1 = 21

x - 1 + 1 = 21 + 1

x = 22

Therefore, the answer is C.

Best of Luck!

What’s 10 to the power of 10 A.100,000 B.10,000,000 or C.1,000,000,000

Answers

Answer:

10,000,000,000

hopefully this helped :3

Answer:

C.10,000,000,000

Step-by-step explanation:

A recipe calls for 3 cups of flour for every 8 ounces of water. How many cups of
flour are needed if the baker uses 96 ounces of water?

Answers

Answer:

you need 36cups of flour

Step-by-step explanation:

3 cups of flour = 8 ounces of water

x cups of flour = 96 ounces of water

96*3 =8x

288 =8x

288/8=36

x=36

Please answer it now in two minutes

Answers

Answer:

52

Step-by-step explanation:

the total is 180

so u add 61 and 67 which gives u 128

so u subtract 180 and 128 which gives u 52

hope this helps

Answer:the answer is 52

Step-by-step explanation:

First a triangle equals 180 degrees. Knowing that Q is 67 degrees and R is 61 degrees 67 plus 61 is 128. 180 subtract 128 is 52 therefore S is 52 degrees.

You work as a health inspector and must visit each of the 15 restaurants in town once each week.
a) In how many different orders can you make these inspections?
b) If you were to work 50 weeks a year and use a different order every week, how long would it take you to try all of the different possible orders

Answers

Answer:

Step-by-step explanation:

The no of different ways in which these restaurants can be visited

= ¹⁵P₁₅

= 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

= 1.30 x 10¹²

b ) Each combination takes 1 week and 50 weeks in  a year to work

No of years to take to try all the combination

= 1.30 x 10¹² / 50

= 2.615 x 10¹⁰ years .

x = [? ]°
117
124°
107
102
145

Answers

Answer:

  x = 125°

Step-by-step explanation:

The sum of angles in an n-sided polygon is (180°)(n -2). For a hexagon, the sum of angles is ...

 (180°)(6 -2) = 720°

We can use this to find x.

  x +117° +124° +102° +145° +107° = 720°

  x = 720° -595°

  x = 125°

Express your answer as a decimal. 606/15

Answers

Answer:

40.4 is the ANSWER
Answer: 40.4

Explanation:
606/15 = 600/15 + 6/15
40 + 0.4 = 40.4

Solve the question given below

Answers

Answer:

x = 3.9

Step-by-step explanation:

x/1.5 = 2.6

Multiply both sides by 1.5

x/1.5 × 1.5 = 2.6 × 1.5

x = 3.9

Answer:  3.9

Step-by-step explanation:

                                      x= 1.5 x 2.6                                       x= 3.9

what is the point-slop of a line with slope 3/2 that contains the point (-1,2)?
O A. y 2 = 3/2(x-1)
O B. y+2 = 3/2(x-1)
O C. y-2 = 3/2(x + 1)
O D. y + 2 = 3/2(x + 1)​

Answers

Answer:

The answer is option C.

Step-by-step explanation:

Equation of a line is y = mx + c

where m is the slope

c is the y intercept

Equation of the line using point ( -1 , 2) and slope 3/2 is

y - 2 = 3/2(x + 1)

Hope this helps you

Find the lateral surface area in square kilometers, of the 3-dimensional figure shown below

Answers

Answer:

108

Step-by-step explanation:

Add the sides of the triangle

5+3+4 = 12 then look for the height

which is 9

12*9 is 108

Find the complementary angle for 93

Answers

Answer:

Complementary means they add up to 90, so you want 2 angles that add up to 90...so what do you mean for 93? Are you talking supplementary,(add to 180), because that would be 87.

Answer: no complement

Explanation: To find the complement of a 93 degree angle, we take 90 minus the measure of the angle which in this case is 90° - 93°.

Notice that this gives us a negative angle measure

and since we can't have a negative angle,

we say that the given angle has no complement.

Watch out for negative answers to geometry problems.

Since we're usually talking about angle measures

or segment lengths, negatives will not work.

someone help me asap please

Answers

Step-by-step explanation:

1, vertical- axis intercept is the water at the beginning

3, she should have included the y-intercept and x-intercept of the linear function

HELP ASAP!!!!


A rectangle with a width of 2.5 cm and a length of 3 cm is dilated by a scale factor of 4. Which statements about the
new rectangle are true? Check all that apply.
The dimensions of the new rectangle will be 10 cm by 12 cm.
The dimensions of the new rectangle will be 40 cm by 48 cm.
The new perimeter will be 4 times the original perimeter.
The new perimeter will be 16 times the original perimeter.
The new area will be 4 times the original area.
The new area will be 16 times the original area.
The new perimeter will be 44 cm.
The new area will be 30 square cm

Answers

Answer:

A, C, E, G

Step-by-step explanation:

mo
1.

[tex] \frac{5}{10} \div \frac{3}{2} [/tex]

Answers

Take the reciprocal of the second term and multiply. This leaves you with 5/10•2/3.
5/10 can be simplified into 1/2, leaving you with 1/2•2/3 multiply the numerators and denominators separately, and get 2/6, which simplified to 1/3.
1/3 is the quotient.

Answer:

The answer is 1/3.

Step-by-step explanation:

This is because when dividing you switch the sign to multiplication and flip the second fraction so that the denominator is the numerator and the numerator is the denominator. You would then just multiply as normal to get 1/3.

What are the answers for each?

Answers

Answer:

7% of 33= 2.1

2% of 640= 12.8

15% of 470=70.5

7/9 of 51= 119/3

.52 of 62= 32.24

Answer:

1) 2.31

2) 12.8

3) 72

4) 44.625

5) 32.24

Step-by-step explanation:

7% of a number is simply 0.07*the number.

7/8 is just .875*the number

Hope it helps <3

Each ferry in the Sydney Harbour has a capacity of 230 people. If there are 9 ferries in operation today, how many people could travel using this service today?

Answers

Answer:

2070

Step-by-step explanation:

Multiply 230 people by 9 ferries, if each ferry is used once.

Need hep with this question​

Answers

Answer:

V= -2000t + 20000

Step-by-step explanation:

Let m be the slope of our function :

m=(20000-16000)/(0-2)= -2000so our function is V= -2000t + b b is the intitial price so b = 20000then : V= -2000t + 20000

Let's check :

take the second year : V= -2000*2 +20000 = 16000 that's true !

Find the value of this expression if x = 3.
x2 + 3
Express your answer as a fraction or integer.
Enter the correct answer.

Answers

Answer:

9

Step-by-step explanation:

x2 + 3

(3)2 + 3

6 + 3

9

Answer:

12.

Step-by-step explanation:

x = 3; x^2 + 3.

(3)^2 + 3 = 3 * 3 + 3 = 9 + 3 = 12

Hope this helps!

a vertical flag pole TAD is supported by two wires AB and AC, given that angle ABD=67°,AB =2 m and AC =2.5m . find the length of AD​

Answers

Answer:

a) 1.84m

b) 42.53°

Step-by-step explanation:

First, look though the diagram provided by the question.

And use the formula: [tex]\frac{a}{sin A}=\frac{b}{sin B}=\frac{c}{sin C}[/tex]

Based on Additional Mathematics Form 4 (Dual Language Programme) KSSM from Malaysia

To find the length of AD

[tex]\frac{AD}{sin 67}=\frac{2}{sin 90}[/tex]

[tex]AD=\frac{2}{sin 90} * sin 67[/tex]

AD= 1.84 m

Find the angle C

[tex]\frac{sin 90}{2.5}=\frac{sin C}{1.84}[/tex]

sin C=[tex]\frac{sin 90}{2.5} * 1.84[/tex]

= 0.736

[tex]sin^{-1} (0.736)=47.39[/tex] degree

So, we have the value of AD and the value of angle C. Now , we can solve the the angle of CAD.

Same as the first question use the formula of sine rule and you will get the answer.

[tex]\frac{sin 90}{2.5}=\frac{sin ACD}{1.69}[/tex]

[tex]sinA = \frac{sin90}{2.5} * 1.69[/tex]

=0.676

=42.53°

So, the answer of the angle of CAD is 42.53°

Check the answer:

90°+47.39°+42.53°

=179.92°

=180°(rounded off)(Proved)

That is all from me. I hope you will understand my solution.

The triangles below are similar. What is the length of ? A. 17 cm C. 19 cm B. 18 cm D. 20 cm

Answers

Answer:

B. 18 cm.

Step-by-step explanation:

Because they are similar, we can say that segment AC corresponds to segment DF, and segment AB corresponds to segment ED. So, we can set up a proportion.

[tex]\frac{16}{24} =\frac{12}{x}[/tex]

[tex]\frac{2}{3} =\frac{12}{x}[/tex]

2 * x = 12 * 3

2x = 36

x = 18

So, the length of ED is B. 18 cm.

Hope this helps!

Other Questions
A small truck has a mass of 2065 kg. How much work is required to decrease the speed of the vehicle from 23.0 m/s to 12.0 m/s on a level road Turner Inc. produces two products P1 and P2. The company has provided you with the following information. Assume that the current sales volume of P1 and P2 reflects the long run sales mix of the firm.P1 P2 Selling price per unit $30 $60 Variable cost per unit $10 $30 Numberof units sold 9,000 6,000 Total fixed costs $240,000 Select ALL statements that are true. All numbers in the answer choices are rounded off to 2 decimals. Breakeven volume in units is rounded off to the next higher integer. A. 40% of Turner's revenue comes from P2B. The operating leverage for Turner now is 0.47C. Turner makes a contribution of $0. 57 per dollar of revenue, on the average.D. Turner will breakeven when it reaches a revenue of $420,000.E. The breakeven volume for Turner is 9,334 units A 5.00 gram sample of an oxide of lead PbxOy contains 4.33 g of lead. Determine simplest formula for the compund What kind of carbohydrate does rice contain? The governing body of a municipality or county has undertaken an improvement project, such as landscaping, erecting fountains, or installing special lighting, that benefits a definable part of the community. In turn, the owners of those properties pay an annual assessment to cover the costs and maintenance. If a property being sold is subject to such an assessment, the purchaser must be given:___________. what is the correct preterit form of verb in parentheses.Susi y mi esposa (cortar) las verduras.Nosotros (aprender) a mezclar unas buenas margaritas. Find the percentage change: The price was $60. Now it is $40. Three numbers are in ration 3: 4: 8. The sum of the two larger numbers exceeds twice the smallest by 48. Find the numbers. A freight train is carrying goods across the country. The number of gallons of fuel it has used varies directly with the distance it has traveled. See the graphbelow. The of a discussion keeps the group on track. What is the main idea of this excerpt?People have the right to break ties with agovernment and to express their reasons for doingcomeslitical bandsand to assumee and equalNature's Godns of mankinds which impelSOf IndependencePeople have the right to establish political controlover weaker governments.People have the right to enforce the governmentsystem that is best for all humankind.People have the right to create laws that protectnature, In 4 days, the price of a share of stock rose 3/4 of a point. On a average, what was the change in stock each day? Dinah is using an IDE to write, modify, and save code. Which tool should she use? What is the solution set of {xlx5)?all real numbersall numbers except -3 and 5the empty setthe numbers between -3 and 5 Streptomyces griseus produces the antibiotic Streptomycin, which inhibits protein synthesis by binding to ribosomes and preventing the binding of fMettRNA. Why isnt S. griseus harmed by its own antibiotic? Provide one example of an event or development from the period starting in 1865 to 1900 in support of the point of view of taxation how are the values of the eights related in 880 A right triangle has a side of length 1 fourth and a hypotenuse of length 1 third. What is the length of the other side? Ferkil Corporation manufacturers a single product that has a selling price of $100 per unit. Fixed expenses total $225,000 per year, and the company must sell 5,000 units to break even. If the company has a target profit of $67,500, sales in units must be: name two major vessels that return oxygen-poor blood to the heart. What are the damages for each? Where do they terminate?