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.


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Write the standard equation of each circle below

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

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

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]

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

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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

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

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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:)

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:

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%

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

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

Answers

15, 2, 9, 5 is the answer
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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

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Step-by-step explanation:

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

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

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

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Answers

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

____________________________

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

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4n + 8 = 10n - 10

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

4n + 18 = 10n

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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

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7 , 9 , 11

And we're done ....

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Answers

Answer:

m=slope

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

Step-by-step explanation:

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Answers

Answer:

(-4,-5)

Step-by-step explanation:

hope you pass ur exams!!

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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?

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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

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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.

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Answer:

Diagonal AC is NOT perpendicular to diagonal BD

Step-by-step explanation:

I need Answer Immediately!!!!!!

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Answer:

24.2424242424242%

Step-by-step explanation:

16+17+33=66

16÷66=0.2424242424242

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

Answer:

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

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Answer:

do u need help with the whole page?

Step-by-step explanation:

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Answers

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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

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

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

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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:

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.

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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

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Answer:

A= 18

Step-by-step explanation:

Answer:

18 your answer is correct

Step-by-step explanation:

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Answer:

No bcuz its not on the line

Step-by-step explanation:

No because it’s right on the line

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

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Answer:

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

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