A cone and a cylinder have the same height and their bases are congruent circles

If the volume of the cylinder is 90 cm^3,
what is the volume of the cone?

A Cone And A Cylinder Have The Same Height And Their Bases Are Congruent CirclesIf The Volume Of The

Answers

Answer 1

Answer:

[tex]30cm^3[/tex]

Step-by-step explanation:

the volume of a cylinder is given by:

[tex]v_{cylinder}=\pi r^2 h[/tex]

and the volume of a cone is given by:

[tex]v_{cone}=\frac{\pi r^2 h}{3}[/tex]

since both have the same height and radius, we can solve each equation for [tex]r^2h[/tex] (because this quantity is the same in both figures) and then match the expressions we find:

from the cylinder's volume formula:

[tex]r^2h=\frac{v_{cylinder}}{\pi}[/tex]

and from the cone's volume formula:

[tex]r^2h=\frac{3 v_{cone}}{\pi}[/tex]

matching the two previous expressions:

[tex]\frac{v_{cylinder}}{\pi} =\frac{3v_{cone}}{\pi}[/tex]

we solve for the volume of a cone [tex]v_{cone}[/tex]:

[tex]v_{cone}=\frac{\pi v_{cylinder}}{3\pi} \\\\v_{cone}=\frac{v_{cylinder}}{3}[/tex]

substituting the value of the cylinder's volume [tex]v_{cylinder}=90cm^3[/tex]

[tex]v_{cone}=\frac{90cm^3}{3} \\\\v_{cone}=30cm^3[/tex]

Answer 2

Answer:

volume of the cone = 30 cm³

Step-by-step explanation:

first write both the formula for  finding the volume a cone and a cylinder

volume of a cone = [tex]\frac{1}{3}[/tex] πr² h

where r is the radius of the cone and h is the height of the cone

volume of a cylinder = πr²h

where r is the radius of the cylinder  and h is the height of a cylinder

since the cone and the cylinder has the same height and they are congruent which implies they have the same radius, then

volume of  a cone =   [tex]\frac{1}{3}[/tex] πr² h

                               = [tex]\frac{1}{3}[/tex] (volume of a cylinder)

                         

   from the question given, volume of the cylinder = 90 cm³

volume of a cone = [tex]\frac{1}{3}[/tex] (volume of a cylinder)

                              =[tex]\frac{1}{3}[/tex] × 90

                               = 30 cm³

Therefore, volume of the cone = 30 cm³


Related Questions

Inverse fiction of
(4/(x+2))-1

Step by step pls

Answers

1. Write all numerators above the common denominator

2. When there is a "-" in front of an expression in parentheses, change the sign of each term of the expression

3. Subtract the numbers


Answer . 2-x
———
X+2

What is the area of the shaded region? Round to the nearest whole
number.

Answers

Answer:

25 tomes 2 50 times 5 250

Step-by-step explanation:

Answer:

The shaded area is 475 yds²

What is the range of the relation?
[(-4,3), (-4,4), (-3,1), (1,1)]

A)
{-4,-4, -3, 1}
B)
{-4, -3, 1}
C)
{1, 1, 3, 4}
D)
{1, 3, 4}

Answers

A because ur is the closest and in the range order

please help
Which two points on the number line are opposites?

A number line going from negative 2 to positive 2 in increments of 1. There are 3 equal spaces between each number. Point A is 1 mark to the right of negative 2. Point B is 1 mark to the right of negative 1. Point C is 1 mark to the right of 0. Point D is 2 marks to the right of 1.
points A and B
points B and C
points C and D
points A and D

Answers

the answer A and D hope it right

Answer:

Its B C

Step-by-step explanation:

on edge2020

Find the radius of a cylinder with volume
351.9 cubic cm and height 7 cm.

Answers

Answer:

4

Step-by-step explanation:

Answer:

4 cm

Step-by-step explanation:

Volume of cylinder = [tex]\pi[/tex]r²h

Radius = [tex]\sqrt{\frac{V}{\pi h} }[/tex]

Radius = [tex]\sqrt{\frac{351.9}{\pi 7} }[/tex]

Radius = [tex]\sqrt{\frac{351.9}{21.98} }[/tex]

Radius ≈ [tex]\sqrt{16}[/tex]

Radius ≈ 4

So, the radius is about 4 cm.

Select all that apply to the graph

Answers

A. There is a horizontal asymptote at y = 3.
D. There is an x-isn’t at approximately (-0.6, 0).

Workers need to know the area of a park to determine how much grass seed to order. A worker drew a sketch of the park to find its area. Which is the area of the park?

Answers

The area of the park is 1465m squared, because you would find the area of the square first which is 100m squared and then you would add that to the area of the trapezoid which is 1365m squared and after you add them, you would get 1465m squared. I’m still not sure if this is the exact answer but please check it over to see if I did it correct :)

The area of the figure is 1465 square m because the figure consists of squares and trapezoids.

What is a square?

It is defined as a two-dimensional geometry that has four sides and four vertices. The sides of the square are equal in length. It is a regular quadrilateral.

We have a figure shown in the picture that represents a sketch of the park.

Workers need to know the area of a park to determine how much grass seed to order.

The figure consists of squares and trapezoids.

The trapezoid can be defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.

The area of the figure = area of the square + area of the trapezoid

The area of the figure = 10×10 + (38 + 40)35/2

The area of the figure = 100 + (78×35)/2

The area of the figure = 100 + 1365

The area of the figure = 1465 square m

Thus, the area of the figure is 1465 square m because the figure consists of squares and trapezoids.

Learn more about the square here:

https://brainly.com/question/14198272

#SPJ6

16. Use the net to find the surface area of the prism.
(1 point)
16.6 m
16.6 m
10 m
1
16.6 m
14 m
Not drawn to scale.
9 m
10 m
O276 m²
O 22 m²
O 522 m²
0968 m²
17. Find the volume of the rectangular prism. (1 point)

Answers

can you show me a picture then maybe i can help you

i need help ASAP. you need to be good at fractions.
fill in the missing numbers:
2/3 = _/6 = 12/_ = _/21

Answers

[tex]\frac{2}{3}[/tex]

[tex]\frac{4}{6}[/tex]

[tex]\frac{12}{18}[/tex]

[tex]\frac{14}{21}[/tex]

I hope this helps :)

Answer:

2/3= 4/6= 12/18= 14/21

Step-by-step explanation:

2/3= __/6

you know that that denominator doubles because 3*2=6, so what you do to the denominator you have to do to the numerator and vice versa. 2*2= 4 so the answer would be 4/6

To find 12/__

You should know that everything is equal to 2/3 in this equation. To get from 2 to 12 you need to multiply by 6. what you do to the top you have to do to the bottom. 3*6=18

_/21

You times 2/3 by 7 because 3*7=21.

2*7=14

A company specializing in building robots that can clean your house has found that the average amount of time kids spend cleaning their houses is about 2 hours per week. If their sample size was 1000 randomly chosen kids and the standard deviation was 0.3 hours, what is the margin of error for a confidence interval of 95%?

Answers

Answer:

0.588

Step-by-step explanation:

Margin of error is:

ME = CV × SE

where CV is the critical value (z score or t score), and SE is the standard error (standard deviation of the sample).

Since n is large, we can approximate as a normal distribution.  At 95% confidence level, z = 1.96.

Therefore, the margin of error is:

ME = 1.96 × 0.3

ME = 0.588

Using the z-distribution, it is found that the margin of error for a 95% confidence interval was of 0.0186.

What is a z-distribution confidence interval?

The interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.

The margin of error is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The standard deviation for the population and the sample size are given, respectively, by:

[tex]\sigma = 0.3, n = 1000[/tex]

Hence, the margin of error is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.96\frac{0.3}{\sqrt{1000}}[/tex]

M = 0.0186.

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ2

Please help
find the area of a trapezoid base 1 measures 20 ft base 2 messages 10 ft height measures 3 ft ​

Answers

Answer:

Step-by-step explanation:

(20+10)*3/2 = 45

Answer:

45 ft squared

Step-by-step explanation:

Area of a trapazoid = a plus b divuded by 2 times h

20 plus 10 divided by 2 equals 15

then 15 times 3 equals 45

Hey guys I need help with this exercise can someone plz help me for 20 points?? Also write the explamation to your answer plzz!

Math problem: 13 of the same cookbooks weigh 442 grams. What is the weight of 10 of these books?

Answers

Answer:

340

Step-by-step explanation:

442 / 13 = 34

34 × 10 = 340

Answer:

340

Step-by-step explanation:

442 / 13 = 34

34 × 10 = 340


XYZ Software employed three different salespeople last year. Person 1
earned $3900 in the first quarter, Person 2 earned $20,100 in the first quarter,
and Person 3 earned $6900 in the first quarter. What are the maximum FUTA
deductions for the first quarter?

Answers

Answer:

Total FUTA : $669.6

Step-by-step explanation:

Given the information

Person 1 earned $3900 in the first quarter  Person 2 earned $20100 in the first quarter  Person 3 earned $6900 in the first quarter

As we know, FUTA is short for Federal Unemployment Tax Act, and the FUTA tax rate is 6.2% applied to a maximum cumulative earnings of $7,000.

So in this situation, only person 1 and 2 must pay FUTA tax because ther earning are lower than $7,000.

Person 1: 3900 x 6.2% = $241.8Person 3: 6,900 x 6.2% = $427.8

=> Total FUTA : $669.6

Answer:

$1103.60

Step-by-step explanation:

PLS HELP John’s patio needs to be re-painted.
He needs orange paint for one portion of his patio and gray paint for the other portion. Determine the total area of the patio that needs orange paint and the total area that needs gray paint. Show all calculations.

Answers

Answer:

368 square feet of orange paint.

292 square feet of grey paint.

Step-by-step explanation:

Here is a picture of my work that you can follow to show how i did it. hope this helps!

       

Help!! QUICKLY!! LESS LOOKING MORE ANSWERING!!

Answers

Answer:

1/3

Step-by-step explanation:

To find equivalent fractions, we can multiply or divide the original fraction by 1, since it won't change the value.

That means, dividing the numerator and denominator by the same integer.

For example, in this case, we divided both the numerator and denominator by 6.

6/6=1

18/6=3

So we divided the entire fraction by 6/6, which doesn't change the value of the fraction, just simplifies it.

Answer: [tex]\frac{1}{3}[/tex]: D

Step-by-step explanation:

This is simple, just simplify the fraction.

[tex]\frac{6}{18}[/tex]

You have to find the greatest common factor. In this case, it is 6 because both of them can be divided by 6.

When you divide 6 by 6, you get 1.

When you divide 18 by 6, you get 3.

Therefore, your answer is [tex]\frac{1}{3}[/tex].

Hope this helps! :)

Twenty-four 4-inch wide square posts are evenly spaced with 5 feet between adjacent posts to enclose a square field, as shown. What is the outer perimeter, in feet, of the fence? Express your answer as a mixed number.

Answers

Answer:

129 1/3

Step-by-step explanation:

According to Alcumus, "There are 20 square posts which are not on a corner, so there are $20/4=5$ square posts on each side, not including the corner posts. Including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts. Altogether the length of a side is $7\left(\frac{1}{3}\right)+6(5)=32\frac{1}{3}$ feet. The perimeter of the square is four times the side length, so the perimeter is $4\cdot 32\frac{1}{3}=\boxed{129\frac{1}{3}}$ feet."

The outer perimeter is 129 1/3 feet.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Twenty-four 4-inch wide square posts are evenly spaced with 5 feet.

So, there are $20/4

                   =5$ square posts on each side, not including the corner posts.

and, including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts.

Then, the length of a side is

= 7 1/3 + 6(5)

= 32 1/3 feet

and, The perimeter of the square

= 4 x 32 1/3

= 129 1/3 feet

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

Suzanne bought a sweater at the sale price of $29.99. the original cost of the seater was $49.99. what percent represents the discount they suzanne received when buying the sweater?
a: 40% discount
b: 60% discount
c: 50% discount
d: none of the above

NEED HELP ASAP MASTERY GRADE

Answers

Answer:

= 40%

Step-by-step explanation:

Original price = 100%

Discount = Op - Np = $49.99 - $29.99 = $20

If $49.99 = 100%

What about $20 = ?

= (20 x 100) ÷ 49.99

= 2000 ÷ 49.99

= 40.008

= 40%

The reduction in price is:
37.5
%

Original price

$40
Reduced to


$25

Writing this as a fraction of the original price we have
25/40

But this represents the final price.
What we need is the amount of reduction


The price has been reduced by

$40−$25=$15

So as a fraction of the original price the reduction is:
15/40

Converting this to a percentage

Let the unknown value be
x

15/40=x/100


Multiply both sides by 100
15/40×100 = x × 100/100


But 100/100= 1

x = 15/40 × 100 = 37 1/2→37.5 giving: 37.5/100 = 37.5 × 1/100 = 37.5%

Which type of graph would you use to show the number of pages in each book on the bookshelf?

Answers

Answer:

stem and leaf plot

Step-by-step explanation:

:) trust

what is the greatest common factor of 35,10

Answers

Answer:

5

Step-by-step explanation:

Factors of 35: 1,5,7,35

Factors of 10: 1,2,5,10

5 is the greatest common factor.

Drag the tiles to the correct boxes to complete the pairs.
Match each situation to the simulation that represents it.

Althea has to select 1 student
as the class representative
from 13 students.

Fiona is deciding which of three
forests to research for a
geography project: evergreen,
deciduous, or coniferous.

Jenny is picking a marble from
a jar with two green marbles, six
yellow marbles, and two red
marbles.

rolling a six-sided die



selecting a playing card from
the hearts suit



spinning a spinner divided into
five equal sections


Answers

Answer: rolling a six sided die☞︎Fiona forest research

Hearts suit☞︎Althea class representative

Spinner☞︎ Jenny marbles

Step-by-step explanation:

Answer:

Fiona= die

Althea=cards

Jenny=Spinner

Step-by-step explanation:

starting off Fiona has three which can evenly go into six.

Althea has 13 options which matches with the number of suits in the hearts

the Jenny would be spinner because 5 times 2 is 10

3(1−2)<33
I need answers ASAP
And could u explain how to do it if possible
I will give brainliest!,

Answers

Answer:

true

Step-by-step explanation:

3(1)+3(-2)

3+(-6)=-3

-3<33 is true

What is the equation of the line passing through the points (-2, 2) and (3,-1)?
A.
5
y=--x+ -
3 3
4
B.
C.
y = x-4
3 4
y=-*+-
5 5
D
y = -3x + 8

Answers

Answer:

Step-by-step explanation:

+ Because of " the line passing through the points (-2, 2) and (3,-1)", that means this line has its equation y = ax + b where

[tex]a=\frac{2-(-1)}{-2-3} =\frac{2+1}{-5} =-\frac{3}{5}[/tex]

So we write its equation: y = -3/5 x + b.

+ Then, now, we replace x = -2 and y = 2 into y = -3/5 x + b for finding b like:

2 = -3/5 * (-2) + b or 2 = 6/5 + b

so b = 2 - 6/5 = 4/5.

And this line has its equation: y = -3/5 x  + 4/5.

Mẹthod 2:

we have a formule for a line that passes 2 points [tex](x_{0},y_{0}) , (x_{1},y_{1}) ,x_{0}\neq x_{1}[/tex]

Here is: [tex]\frac{x-x_{0} }{x_{1}-x_{0} } = \frac{y-y_{0} }{y_{1}-y_{0} }[/tex]

Then, we can write for this case:

[tex]\frac{x-(-2)}{3-(-2)} =\frac{y-2}{-1-2} \\\frac{x+2}{5} =\frac{y-2}{-3} \\-3(x+2) = 5( y-2)\\-3x-6=5y-10\\3x+5y-4=0\\or\\y=-\frac{3}{5}x+\frac{4}{3}[/tex]

P.S: You type wrongly the signs?

EASY MATH AND GET POINTS!
How many blocks with dimensions of One-third times 1 times 1 can fit in a unit cube?
A block has a length of one-third, height of 1, and width of 1.
2
3
6
9

Answers

a block of (1/3) x 1 x 1, has a volume of, just that product, namely 1/3.

a Unit Cube, has all sides of 1 unit, thus called the Unit cube, and has a volume of 1*1*1 = 1³ = 1.

so, how many times does the volume of 1/3 go into 1?

recall there are three thirds in a whole, so 1/3 + 1/3 + 1/3 = 1, 3 times

Answer:

Find the volumes and divide for the answer

1 x 1 x 1/3 = 1/3

1 x 1 x 1 = 1

1 / 1/3

1/1 x 3/1 = 3

3 blocks

Step-by-step explanation:

y = 5x – 6
Identify the y-intercept of the
following equation.

Answers

Answer:-6

Step-by-step explanation:

Answer:

ez

Step-by-step explanation:

6 negative

100 points!

The following data shows the weight, in pounds, of 6 boxes:

5, 3, 3, 4, 5, 4

What is the value of the mean absolute deviation of the weight of the boxes, and what does it represent about the weight of a box?

A))1.2 pounds; on average, the weight of a box varies 1.2 pounds from the mean of 4 pounds

B))0.7 pound; the weight of 50% of the boxes is greater than 0.7 pound

C)) 1.2 pounds; the weight of 50% of the boxes is greater than 1.2 pounds

D))0.7 pound; on average, the weight of a box varies 0.7 pound from the mean of 4 pounds

Answers

Answer:

The answer is D. Let me know if you don't understand that.

Step-by-step explanation:

Hi!

To find the Mean Absolute Deviation (MAD) of the weight of the boxes, first find the mean.

5 + 3 + 3 + 4 + 5 + 4 = 24

24/6 = 4

Now find the absolute distance from the mean for each of the numbers by subtracting the mean from each of the numbers. It doesn't matter if it's negative.

5 - 4 = 1

3 - 4 = 1

3 - 4 = 1

4 - 4 = 0

5 - 4 = 1

4 - 4 = 0

Now find the mean of those numbers.

1 + 1 + 1 + 0 + 1 + 0 = 4

4/6 = 0.7

So now we know the answer is either B or D.

B. 0.7 pound; the weight of 50% of the boxes is greater than 0.7 pound

D. 0.7 pound; on average, the weight of a box varies 0.7 pound from the mean of 4 pounds

Hope this helps! :)

-Peredhel

The value of the mean absolute deviation of the weight of the boxes is 0.7 pounds

Option D is the correct answer.

What is a mean?

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

To find the mean absolute deviation, we first need to find the mean weight of the boxes:

Mean = (5+3+3+4+5+4)/6 = 24/6 = 4 pounds

Next,

We calculate the absolute deviations from the mean for each weight:

So,

|5-4| = 1

|3-4| = 1

|3-4| = 1

|4-4| = 0

|5-4| = 1

|4-4| = 0

Then,

We find the mean of the absolute deviations:

(1+1+1+0+1+0)/6 = 4/6 = 0.67 = 0.7

This means that on average, the weight of a box varies by 0.7 pounds from the mean weight of 4 pounds.

Therefore,

The value of the mean absolute deviation of the weight of the boxes is 0.7 pounds (rounded to one decimal place).

Learn more about mean here:

https://brainly.com/question/23263573

#SPJ3

Use the grouping method to factor the polynomial below completely.
3x3 + 9x2 + 4x + 12
O A. (3.2 + 4)(x+4)
O B. (3x2+3)(x + 4)
O c. (3x2 + 4)(x+3)
O D. (3x + 3)(x+3)​

Answers

Answer:

C. (3x^2+4)(x+3)

Step-by-step explanation:

3x^3+9x^2+4x+12

=(3x^3+9x^2)+(4x+12)

=3x^2(x+3)+4(x+3)

=(3x^2+4)(x+3)

Therefore, C. (3x^2+4)(x+3)

The correct factor of the polynomial is,

⇒ (x + 3) (3x² + 4)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ 3x³ + 9x² + 4x + 12

Now, We can factor the polynomial as;

⇒ 3x³ + 9x² + 4x + 12

⇒ 3x² (x + 3) + 4 (x + 3)

⇒ (x + 3) (3x² + 4)

Thus, The correct factor of the polynomial is,

⇒ (x + 3) (3x² + 4)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

Juanito looked out the window and saw 20 bicycles and skateboards. There were a total 52 wheels. How many of each did he see , steps ?

Answers

Answer:

Let's denote:

x: number of bicycles

y: number of  skateboards

Then, we have:

x + y = 20

2x + 4y = 52

=> 2(20 - y) + 4y = 52

=> 2y = 12

=> y = 6 (number of skateboards)

=> x = 14(number of bicycles)

Hope this helps!

:)

please help me out! i have a few more of these questions, about 4

Answers

Step-by-step explanation:

You can make a table of values to find the points that belong to the line and then draw the line through those points. Here are some: (-6, -2), (0, -1), and (6, 5). You can use any value for x in your table. Hope this helps!

Answer:

Step-by-step explanation:

put a point in at negative 1 first; that is the y value.

Then, go up 1 then to the right six points. that should result in the next point being at (0,6).

Keep going and draw a line

Help with this one!


Show steps pls

Answers

Answer:

$177.50

Step-by-step explanation:

Simple interest formula is i = p*r*t, where r is the interest rate as a decimal fraction.

Here, i = $71,000 * (0.01) * (3/12) = $177.50

You and your friend are playing a game where you flip a coin and roll a fair four-sided die. You win if the coin is heads and the die lands on an odd number. Your friend wins if the coin is tails and the die lands on an even number. You tie if the coin is heads and the die is even or if the coin is tails and the die is odd. All the possible outcomes of the game are listed below.

If we take outcomes 2,4,5, and 7 as a subset of the sample space, which of the statements below describe this subset?


Answers

its a tie.

Step-by-step explanation:

Other Questions
Solve the following inequality for p. Write your answer in simplest form.6p+5-2p-5 What are the oxidizing agent and the reducing agent in this chemical equation?3Fe5 + 8HNO3 + 3FeSO4 + 8NO + 4H20A) Fes is the oxidizing agent, and HNO3 is the reducing agent.B) HNO3 is the oxidizing agent, and NO is the reducing agent.C) Fes is the reducing agent, and HNO3 is the oxidizing agent.D) HNO3 is the reducing agent, and NO is the oxidizing agent. According to Stanton, how have men retained power over women? Cite at least oneexample in your answer. water is a highly polar molecule with strong hydrogen bonding. one of the results of this is that water can climb up a narrow tube. the phenomenom is known as:A. catapult action (aka trebuchet onfire)B. capillary actionC. carpel tunnel syndromD. capitalization In 1893 a Category 4 hurricane claimed 2,000 victims, most of whom drowned in a 15 foot storm surge affecting the low-lyingbarrier Sea Islands off the Carolina coast. By what name is this hurricane commonly known?Hurricane HugoHurricane KatrinaThe Sea Islands HurricaneThe Atlantic Coastal Hurricane Has the guards character changed at all since the beginning of the play? How would you describe the character using evidence from the text? A circle has a radius of 5/3 units and is centered at (9.2 -7.4)Write the equation of the Circle. Given DOG, find DG.Round your answer to the nearest hundredth. of the following numbers, which has the most factors of 3?a) 81b) 270c) 999d) 3333 A math teacher randomly selects one student in a class to write a probability question on a chalkboard. The teacher then randomly selects a different student to answer the probability question. There are 18 boys in the class, and the ratio of boys to girls is 3:5. Find the probability that the teacher selects a girl first and a girl second. Write your answer as a decimal rounded to the nearest thousandth. Where is "Champeta" from? What happens to many synthetic elements after they are made What are the four main parts of the Sun? * 5 advantage local government administration in nigeria? Oversight and public education are examples of what type of Congressional functions?A.legislative functions of CongressB.judicial functions of CongressOC. enumerated powers of CongressD.non-legislative functions of Congress y5/3 = 4/5HELP ME!! (x + m)(x + n) if m= 5 and n = -7 A yearbook staff has 30 members. In how many different ways can an editor, photographer, designer, and advisor be selected? Simplify:[tex]\sqrt{(4-3\pi)^2 }[/tex] Theater tickets cost $16 for general admission or $9 with a student ID.Total ticket sales for a certain showing was $4983. Write an equationin standard form that shows the possible number of generaladmission tickets, x, and student tickets, y, that were sold. Then, findthe total number of student tickets sold if 240 were generaladmission tickets.