Find the slant height l of the cone given the surface area S.

S=126π cm²



The slant height is
centimeters.

Find The Slant Height L Of The Cone Given The Surface Area S.S=126 CmThe Slant Height Is Centimeters.

Answers

Answer 1

9514 1404 393

Answer:

  15 cm

Step-by-step explanation:

The formula for the surface area of the cone is ...

  A = πr² +πrL =  πr(r +L)

The radius of this cone is half its diameter so is (12 cm)/2 = 6 cm. Then the slant height L can be found from ...

  126π cm² = π(6 cm)(6 cm +L)

  21 cm = 6 cm +L . . . . . . . . . . . . . . divide by 6π cm

  15 cm = L . . . . . . . . . . . . . . . . subtract 6 cm

The slant height is 15 centimeters.


Related Questions

What is the least common denominator of the equation 2/9x + 2/3x =7 ?

Answers

Answer:

that would be 9 as the least common denominator

Step-by-step explanation:

A prime number that is 1 more or 1 less than the value of a factorial is called a factorial prime. Which of the following numbers is not a factorial prime?

4! - 1 = 23
6! - 1 = 719
5! - 1 = 119
3! - 1 = 5

Answers

Answer:

Step-by-step explanation:

An amusement park has two featured rides that require an additional ticket, the Slingshot and the Scream Flyer. On a summer day, 1279 visitors entered the park. 280 visitors bought tickets for either the Slingshot or the Scream Flyer. 247 visitors bought a ticket for the Slingshot and 237 visitors bought a ticket for the Scream Flyer. What is the probability that a randomly selected visitor bought tickets for both the Slingshot and the Scream Flyer

Answers

Answer:  [tex]\frac{204}{1279}[/tex]

Step-by-step explanation:

Formula for intersection:

n(A and B) = n(A)+n(B)-n(A or B)

Given: n(Slingshot) = 247

n(Scream Flyer)= 237

n(Slingshot or the Scream Flyer) = 280

n (Slingshot and Scream Flyer)= 247+237-280

=204

Probability of any event = [tex]\frac{\text{Number of favourable outcomes}}{\text{total outcomes}}[/tex]

P(both the Slingshot and the Scream Flyer)= [tex]\frac{204}{1279}[/tex]

Required probability = [tex]\frac{204}{1279}[/tex]

Jack took out a 6-year loan for $25,000 to purchase a boat at a 4.5% interest rate. If the interest is compounded monthly, what will he have paid total over the course of the loan?

Answers

Answer: $32,732.58

Step-by-step explanation:

To calculate the total loan payment over the course of the loan period, use the future value formula:

= Loan amount * (1 + rate) ^ number of years

As this loan is compounded monthly, you need to convert certain terms to monthly figures:

Number of periods = 6 * 12 months = 72 months

Interest = 4.5 / 12 = 0.375%

Total payment:

= 25,000 * ( 1 + 0.375%)⁷²

= $32,732.58

He will have to pay $34,236.31 over the course of the loan.

Using the compound interest formula expressed as:

[tex]A =P(1+r/n)^{nt}[/tex]

P is the principal = $25000

r is the rate = 4.5% = 0.045

t is the time in years = 6 years

n is the compounding amount = (12)monthly

Substitute into the formula:

[tex]A =25000(1+0.045/12)^{12(7)}\\A=25000(1.36945)\\A = \$34,236.31[/tex]

Hence he will have to pay $34,236.31 over the course of the loan

Learn more on compound interest here: https://brainly.com/question/24274034

please help ASAP
ITS 14 points

Answers

Answer:

area= 62.88

Step-by-step explanation:

to find the area of the whole figure take the diameter of the circle witch is 8 and multiply it by 11. the area of the whole figure including the semi-circle is 88.

now find the area of the whole circle and divide it in half.

A= pi * r^2 / 2

A= 3.14 * 4^2 /2

A= 3.14 * 16 / 2

A= 25.12

Now take the area of the semi-circle and subtract it from the whole figure.

88-25.12=62.88

find three consecutive odd integers such that the sum of the last two is 15 less than 5 times the first​

Answers

2n + 1 , 2n + 3 , 2n + 5

____________________________

( 2n + 5 ) + ( 2n + 3 ) = 5 × ( 2n + 1 ) - 15

4n + 8 = 10n + 5 - 15

4n + 8 = 10n - 10

Add both sides 10

4n + 8 + 10 = 10n - 10 + 10

4n + 18 = 10n

Subtract both sides 4n

4n - 4n + 18 = 10n - 4n

18 = 6n

Divide both sides by 6

18 ÷ 6 = 6n ÷ 6

n = 3

_________________________________

Thus that three numbers are :

2(3) + 1 , 2(3) + 3 , 2(3) + 5

6 + 1 , 6 + 3 , 6 + 5

7 , 9 , 11

And we're done ....

What is the radius of a circle with a circumference of 26 meters?

Answers

Answer: 4.14 m.

Step-by-step explanation:

If f (x) = 6x – 5,
find x for f (x = 13

Answers

Step-by-step explanation:

f(x)=136x-5=136x=13+5x=18/6x=3

hope it helps stay safe healthy and happy....

Answer:

Solution :-here,

f (x)= 13

or, 6x-5= 13

or, 6x =13+5

or, 6x = 18

or, x = 18/6

or, x = 3

hope it is helpful to you

What is the best name for Quadrilateral ABCD given the points A(−3,3), B(1,7), C(4,4), and D(0,0)?

A. Rhombus
B. Square
C. Rectangle
D. Parallelogram

Answers

Answer:

Rectangle

Step-by-step explanation:

First, we gotta graph it!

It's down below.

Now, what shape is that?

It's a rectangle!

One package of cookies contains 3,460 calories. Each serving of cookies contains 72 calories. About how many servings are in the package?

Answers

Answer:

Number of servings= 48.05

Step-by-step explanation:

Giving the following information:

One package of cookies contains 3,460 calories. Each serving of cookies contains 72 calories.

To calculate the number of servings, we need to use the following formula:

Number of servings= total calories / calories per serving

Number of servings= 3,460 / 72

Number of servings= 48.05

Any help plssssssssssss I need to pass

Answers

Answer:

(-4,-5)

Step-by-step explanation:

hope you pass ur exams!!

CAN SOMEONE HELP WITH THESE 2 questions please!! Reposting cause someone said too !!! Will mark u brainlist and give u points!!!

Answers

Answer:

do u need help with the whole page?

Step-by-step explanation:

what is the formula of gradient

Answers

Answer:

m=slope

(x_1, y_1)=coordinates of the first point in the line

(x_2, y_2)=coordinates of the second point in the line

Step-by-step explanation:

What is the average rate of change for this quadratic function for the interval from x = 0 to x = 2?

Answers

Answer:

8

Step-by-step explanation:

The average rate of change for this quadratic function for the interval from x = 0 to x = 2 is -2

What is a function?

A relation is a function if it has only One y-value for each x-value.

The average rate of a function f(x)  from x=a to x=b is given as:

= f(b)-f(a)/b-a

Clearly we are asked to find the average rate of change from x=0 to x=2.

i.e. a=0 and b=2

Also, from the graph it could be observed that:

f(0)=1

and f(2)=-3

=f(2)-f(0)/2-0

=-3-1/2

=-4/2

=-2

Hence, the average rate of change for this quadratic function for the interval from x = 0 to x = 2 is -2

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ7

Find the volume.
A. 103 yd
B. 54 yd
C. 74 yd
D. 84 yd

Answers

Answer:

d. 84 yd

Step-by-step explanation:

[tex] \frac{1}{2} (12 + 36)(3.5) \\ \frac{1}{2} (48)(3.5) \\ \frac{168}{2} = 84[/tex]

Laura has a 12-foot ladder. The safety instructions recommend the base of the ladder be placed 4 feet from the base of the wall. How high will the ladder be able to reach on the wall? BRAINLIEST FOR CORRECT ANSWER!!!!

Answers

Answer:

3

Step-by-step explanation:

12÷4=3

Have a good day:)

I need help please!!:)

Answers

Answer:

No bcuz its not on the line

Step-by-step explanation:

No because it’s right on the line

The diameter of a circle is 2 inches. What is the circle's circumfere
Use 3.14 for u.
PLS HELP!!!

Answers

Answer:

[tex]6.28\:\mathrm{in}[/tex]

Step-by-step explanation:

The circumference of a circle is given by [tex]C=2r\pi[/tex], where [tex]r[/tex] is the radius of the circle. Since all radii of a circle are exactly half the length of all diameters of a circle, if the diameter is 2 inches, we know the radius is 1 inch.

Therefore, we have:

[tex]C=2(1)\pi=2\cdot 1\cdot 3.14=\boxed{6.28\:\mathrm{in}}[/tex]

Answer:

6.28in or 6.3in

Step-by-step explanation:

All I did was multiply pie by diameter or multiply it by its radius, which is 1.

C = 2(3.14)(1)

= 6.28

or

C = (3.14)(2)

= 6.28

Write the standard equation of each circle below

Answers

Okay so if you answer me in the comments I can help you but I need more explanation than that :)

which statement is not guaranteed to be true

Answers

Answer:

Diagonal AC is NOT perpendicular to diagonal BD

Step-by-step explanation:

factorizar A- m⁹+125
B - 125a³ + 150a² b + 60ab³ + 8b³​

Answers

Answer:

Kya Hua Hai Bhai Sab Kuchh khae Duniya Mein Sab Koi pata nahin to Aap To Pyar Karte

√2,√5,√9,√15 order from least to greatest​

Answers

15, 2, 9, 5 is the answer
So √2= 1.414 √5= 2.24 √9= 3 √15=3.87

I need Answer Immediately!!!!!!

Answers

Answer:

24.2424242424242%

Step-by-step explanation:

16+17+33=66

16÷66=0.2424242424242


I need to find X and Y

Can someone pls help me

Answers

y=35 x=110 however im a bit confused on x but im sure on y

The period of function is 4 pie how many cycles of the function occur in a horizontal length of 12 pie

Answers

Answer: 3

Step-by-step explanation:

Given

The period of the function is [tex]4\pi[/tex] i.e. function completes a full cycle in this zone.

For a horizontal length of [tex]12\pi[/tex]

Number of cycles is

[tex]\Rightarrow \dfrac{12\pi }{4\pi }=3[/tex]

So, there are 3 ycles of the function in length of [tex]12\pi[/tex].

Answer:

3

Step-by-step explanation:

I just did it and it was correct.

Given the percent of 2/5%. What is it's value as a decimal? What is it's value as a fraction?

Answers

Answer:

2/5% is .004 as a decimal and 1/250 as a fraction

Step-by-step explanation:

2/5% is .4% which is .004 as a decimal

2/5 ÷ 100/1 is the same as 2/5 × 1/100 which is 2/500 or 1/250

Value of decimal:0.4
Value of fraction:40%

Kunicki uses a medium and a large measuring cup to measure the ingredients to make his famous Buttery Oatmeal Raisin Cookies. He wants to know how many ounces of liquid each measuring cup can hold. He first filled a 80 ounce mixing bowl with 8 large cups and 4 medium cups of liquid. 4 large cups and 12 medium cups of liquid. How many ounces each cup holds?

Answers

Answer:

L = 16oz

M = 12oz

S = 8oz

Step-by-step explanation:

8 large equal to 128oz ( 8 x 16 = 128 )

4 medium equal to 48oz ( 4 x 12 = 48

4 large equal to 64oz ( 4 x 16 = 64

12 medium equal to 144oz ( 12 x 12 = 144 )

Total of oz equal 384oz

384 - 80 = 304/80 = 3.8

3 more bowl of 80oz and 5 Mcup and 1/2 Scup

What would be the second step in simplifying the expression 4 2 ÷ (2 • 9) + 5?

Answers

Answer:

7.333

Step-by-step explanation:

(42 ÷ 18 ) +5 =

7/3 +5 =

7/3 + 15/3 =

22/3 =

7.333

Answer:

4.33

Step-by-step explanation:

Area of triangle please help

Answers

Answer:

A= 18

Step-by-step explanation:

Answer:

18 your answer is correct

Step-by-step explanation:

12x3=36

36÷2=18

Five children have heights of 138cm, 135cm, 140cm, 139cm, and 141cm.
What is the range of their heights?

Answers

Answer:

6 cm

Step-by-step explanation:

To find the range take the largest number and subtract the smallest number

The largest number is 141 and the smallest number is 135

141 - 135 = 6 cm

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