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Answer: 80 votes

Step-by-step explanation: Solve the formula for l. A) l ... 01/18/2017. Mathematics · High School. answered. The surface area of a cone is given by the formula S = πl + πr2. ... all of the 2's are to the power of R the 5/3.14's are fractions. 2 ... Incognit-oh-no… ... and 219 more users found this answer helpful. Thanks 140. 4.7. (80 votes).

The surface area of a cone is given by the formula S = πl + [tex]\pi r^2[/tex], the formula for I will be l = S/3.14 – [tex]r^2[/tex]. The correct option is C.

The surface area of a three-dimensional shape is the amount of space that surrounds it.

Starting with the given formula:

[tex]S = \pi l + \pi r^2[/tex]

We want to solve for l.

First, we can isolate the term with l on one side of the equation by subtracting [tex]\pi r^2[/tex] from both sides:

[tex]S - \pi r^2 = \pi l[/tex]

Then we can divide both sides by π to isolate l:

[tex]l = (S - \pi r^2) / \pi[/tex]

Therefore, the solution is:

[tex]l = (\frac{S}{\pi} - r^2)[/tex]

Thus, the correct option is C.

For more details regarding surface area, visit:

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Your question seems incomplete, the probable complete question is:

The surface area of a cone is given by the formula S = πl + πr2. Solve the formula for l.

A) l = S – r2

B) l = S + r2

C) l = 5/3.14 – r2

D) l = 5/3.14 + r2

all of the 2's are to the power of R

the 5/3.14's are fractions

Answer:

can you show me the data so i can see the temperature

Answer: Graph C

Step-by-step explanation: The answer is C (Took the quiz)- Khan Academy

Answer:

50 what

Step-by-step explanation:

The correct equations in the question are:

(a) [tex]\dfrac{x}{x^2+x-2}[/tex]   (b) [tex]\dfrac{6-x}{x^2-3x-54}[/tex]

Answer:

Step-by-step explanation:

From above:

a) [tex]\dfrac{x}{x^2+x-2}[/tex]  

We are to find the roots of the quadratic equation at the denominator.

i.e.

x²+x-2 =  x² + 2x - x - 2

= x(x+2) - 1(x+2)

= (x -1 ) (x + 2)

Thus;

[tex]\mathbf{\dfrac{x}{x^2+x-2} = \dfrac{A}{x-1} + \dfrac{B}{x+2}}[/tex]

b) [tex]\dfrac{6-x}{x^2-3x-54}[/tex]

The quadratic equation roots can be calculated by finding two numbers that if we multiply then, we will get -54 and if we add or subtract them, we will get -3

x²-3x -54 =  x² - 9x +6x - 54

=  x(x-9) + 6(x-9)

= (x + 6) (x - 9)

[tex]\mathbf{\dfrac{6-x}{x^2-3x-54} = \dfrac{A}{x+6} + \dfrac{B}{x-9}}[/tex]

Answer:

21

Step-by-step explanation:

they both have 21

Answer:

The margin of error is  [tex]E = 6.9 [/tex]

The 95% confidence interval is  [tex] 26.5  <  \mu < 40.3 [/tex]  

Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  31

     The mean is  [tex]\mu = 33.4 \ ng/ml[/tex]

      The standard deviation is  [tex]\sigma = 19.6 \ ng/ml[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>  [tex]E = 1.96  *  \frac{19.6  }{\sqrt{31 } }[/tex]

=>  [tex]E = 6.9 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=> [tex] 33.4  - 6.9 <  \mu < 33.4  +  6.9 [/tex]

=> [tex] 26.5  <  \mu < 40.3 [/tex]  

Answer:

Perimeter of Triangle ABC is 21

Step-by-step explanation:

According to the Midpoint Theorem, if the line segment adjoins midpoints of any of the sides of a triangle, then the line segment is said to be parallel to all the remaining sides, and it measures about half of the remaining sides.

In this case, since XY=7, then AZ+ZC will need to equal 14 as that's opposite of half. Since AZ=ZC given that they are congruent, then AZ=7. Therefore the perimeter is XA+XZ+AZ=5+9+7=21

Answer: x=60

Step-by-step explanation:

x+22+x+6+x−28=180

Step 1: Simplify both sides of the equation.

x+22+x+6+x−28=180

x+22+x+6+x+−28=180

(x+x+x)+(22+6+−28)=180(Combine Like Terms)  22+6=28 and then 28-28=0

3x=180  

3x=180

Step 2: Divide both sides by 3.

3x/3 = 180/3

x=60

hope this was helpful.

Answer:

2

Step-by-step explanation:

The x-coordinate of point (2, 9) is 2.

The distance from 0 to 2 on a number line is 2.

Answer: 2

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

a = 68deg b = 112deg c = 68deg

Step-by-step explanation:

angle opposite 112deg is 112deg (vertically opp angels)

since the 2 angles are same, a = 180deg - 112deg = 68deg (angles on a straight line are supplementary)

b = 112 deg (vertically opp angles)

c = a (vertically opp angles)

Answer:

sarah makes 10 cupcakes

Step-by-step explanation:

baker makes 30 cupcakes.

30/3=10

sure what’s the problem

Answer:

Range is 44

mean is 29.7

variance is 289.56

standard deviation is 17.016

Step-by-step explanation:

The data given as follows

3, 24, 30, 47, 43, 7, 47,13, 44, 39

Range = maximum - minimum

             = 47 -3 = 44

mean = [tex]\frac{3+24+30+47+43+7+47+13+44+39}{10}[/tex] = 297/10 = 29.7

variance = [tex]\frac{sum xi^2 }{N} - mean^2 }[/tex]

              = 289.56

SD = [tex]\sqrt{variance}[/tex]  = 17.016

The standard deviation of the given data is not a good measure as the range and standard deviation are far apart. The standard deviation gives how the given data is dispersed from the mean or expected value, while the range gives a rough idea of variability of the data.

Answer:

The score of the dropped grade is 6

Step-by-step explanation:

To find the average of a set of numbers you need to add all the numbers and divide by how many numbers there are. The problem wants you to solve it in reverse. Let put this into an algebraic equation with a, b, c, d, and e being the variables of the test scores

(a+b+c+d+e)/5=10

Then we can multiply both sides by 5 and get

a+b+c+d+e=50

Lets assume that c is the lowest test score. To calculate the average of that we get

a+b+d+e/4=11

Doing the same thing, we know that a+b+d+e=44

Now compare the two:

a+b+c+d+e=50

a+b+d+e=44

We can now know that c=50-44=6

So, 6 is the score of the dropped quiz. Hope that helped!

Answer:

b

Step-by-step explanation:

Answer:

The percentage of people that chose relaxation was equal for each age-group.

Step-by-step explanation:

Answer:

5 or E- The percentage of people that chose relaxation was equal for each age group

Step-by-step explanation:

You can use the process of elimination where every other answer choice is correct except for the last one. Otherwise, the percentages for each group of age group are all different as shown on the margins, which is why it is incorrect. Therefore, that is the correct answer for this problem.  

Answer:2 2/9

Step-by-step explanation: 4/3 x 5/3= 20/9= 2 2/9

Answer:

[tex]1.75[/tex] × [tex]10^{-15}[/tex]  

I hope this helps!

Answer: 5/12

Step-by-step explanation:

Answer:

balls

Step-by-step explanation:

lol hahahahahahahahhahahahahahhahahahahahahahahhahah

Answer:

two balls for every one paddle

Step-by-step explanation:

Answer: D. 30

Step-by-step explanation:

Given that:

63 have a car,

27 have a bike,

12 have a skateboard,

20 have a car and a bike,

8 have a car and a skateboard,

9 have a bike and a skateboard, and

5 have a car, a bike, and a skateboard.

Car and bike only :(20 - 5) = 15

Car and skateboard only = (8 - 5) = 3

Car only = 63 - (15 + 3 + 5) = 40

Bike and skateboard only = (9 - 5) = 4

Bike only = 27 - (15 + 5 + 4) = 3

Skateboard only = 12 - (3 + 5 + 4) = 0

Number of people in the survey do not own a car, a bike, or a skateboard: = x

(40+0+3+15+3+5+4+x) = 100

70 + x = 100

x = 100 - 70

x = 30

Answer:

x=-5. -5x+10 replace the x with -5, multiply, add ten, and you'll get f(x)= 35

Answer:

-5

Step-by-step explanation:

f(x) =35

f(x) = -5x +10

equate the two equations:

-5x +10 =35

-5x =35-10

-5x =25

x = 25/-5

x = -5

Answer:

-3.8

Step-by-step explanation:

I used my calculator.

Answer:

-3.8            

Step-by-step explanation:

Answer:

90%

Step-by-step explanation:

We know that

9/10

is the same as

9÷10

Then using

Long Division for 9 divided by 10

gives us

0.9

Converting our number to a percentage:

0.9×100

=90%

(Note this isnt rounded up.)

Step-by-step explanation:

2vt= (ht²/2) - 2c - r

v= ((ht²/2) -2c -r) / 2t

v= ht/4 - c/t - r/2t

Answer:

smaller number = - 12

larger number = -2

Step-by-step explanation:

x + y = - 14

x - y =    10                Add

2x = - 4                     Divide by 2

x = -4/2 = - 2

-2 + y = - 14               Substitute - 2 = x in x + y = - 14

y = - 14 + 2                Combine

y = - 12

Answer: Three-8 ounce containers

Step-by-step explanation: 3 x 1.29 divided by 0.6= $6.45 for three 8-ounce containers

4 x 3.77 divided by 0.6= $15.08