The base of a right circular cone has a radius of 4 inches and a slant height of 9 inches. If the radius and the slant height are multiplied by 6, by what factor is the surface area multiplied? A. 6 B. 36 C. 24 D. 54

Answers

Answer 1

Answer:

Correct option: B -> 36

Step-by-step explanation:

The surface area of a circular cone is given by the formula:

Surface area = pi * radius * (radius + slant height)

If the inicial radius is 4 in and the slant height is 9 in, we have:

Surface area = pi * 4 * (4 + 9) = 52pi in2

The radius and the slant height are multiplied by 6, so we have:

radius = 6 * 4 = 24 in

slant height = 6 * 9 = 54 in

So the new surface area is:

New surface area = pi * 24 * (24 + 54) = 1872pi in2

The factor of the surface areas is:

New surface area / Surface area = 1872pi / 52pi = 36

Correct option: B

Answer 2

Answer:

b

Step-by-step explanation:


Related Questions

if a=3/6 and b=-3/-5 find -3a+4b

Answers

Answer:

Step-by-step explanation:

-3(3/6) + 4(3/5)

-3(1/2) + 4(3/5)

-3/2 + 12/5

-15/10 + 24/10

9/10

the value of 1.666.. in the form p/q is ?

Answers

Answer:

15/9

Step-by-step explanation:

let the recurring decimal be (n)

we need to find a number that will subtract the number to remove the decimal

the nearest number is 16.666...

because the decimal has moved one step ahead, we will call the new number (10n)

16.666 - 1.666 = 15.

10n - n = 9n.

=15/9

Please help will give brainist

Answers

Answer:

80 & 105

Step-by-step explanation:

The scatter plot shows the time spent studying compared to test scores for Mr. Stone’s eighth-grade class. Predict the score that a student would earn if she studied for 7 hours. Round your answer to the nearest whole number. Enter your answer in the box.

Answers

Answer:

80 (I think)

Step-by-step explanation:

I would just go to x=7 and look up until i reach the line of best fit. The intersection is at y=80

The score of student is 80 marks if she studied for 7 hours.

Given,

The scatter plot shows the time spent studying compared to test scores for Mr. Stone’s eighth-grade class. From the plot it is clear that time is shown on x  axis and test scores is shown on Y axis.

We have to predict the score that a student would earn if he studied for 7 hours.

Here look at the Scatter plot we find that 7 hours is on x axis and the respective line of best fit of test score is passing through score 80.

Hence if a student is studied for 7 hours he would earn 80 marks.

For more details on scatter plot follow the link below:

https://brainly.com/question/2659237

Paula wants to know the favorite type of music for students at her school. She surveys the first 60 people who enter the school doors in the morning. (circle the correct choice below) FAIR or BIASED

Answers

Answer:

Fair

Step-by-step explanation:

Based on the description provided in the question it is safe to say that the survey that Paula conducted is completely Fair. This is mainly due to the fact that her pool of participants are completely random. Paula does not control who will walk through the schools doors first. Therefore she cannot be biased since she is surveying whoever walks through the doors first regardless of her personal opinions or feelings.

i need help good explanation and answer for more points

Answers

Let's start with sectioning off the little squares on the left that are jutting out of the top and bottom. Both of the squares are C*E, so multiply C*E twice to get the area of those little squares. That comes out to 12 feet.

Next is the main quadrilateral, the big one. You have to cut it off at the point the triangle starts to slope, so the end fo B.

But you also have to get the left part, so you have to add the length of C to the length of B to get the length of the quadrilateral. A encompasses the entire height, but not the part we want, because we already isolated those little squares. To get the height, just subtract the two E parts. The height is 6. The length is 8 feet. Multiply and get 48.

Add that to the previous 12 feet calculated to get 60.

Next, the triangle. The height is A, but only with one E. So subract the other E to get a height of 9. The length is D, but you have to subract B because that is part of the earlier quadrilateral. That makes it 9.

The formula for a triangle is height * length / 2. So, plug in the numbers-- 9 * 9 / 2

81/2

40.5.

Add to the previous 60 we got and that makes 100.5 square feet.

Hope this helped!

Simplify the equation

Answers

Answer:

option c is the correct.

Step-by-step explanation:

[tex]\frac{2x^4*6x^2}{3x^2}[/tex]

by using the laws of exponent

a^m×a^n=a^m+n

12x^4+2/3x²

[tex]\frac{12x^4}{3x^3}[/tex]

4x^4-3

4x³

Answer:

4x^3

Step-by-step explanation:

In the numerator, (top part) we have 2x^4 times 6x^2

2 times 6 is 12, and x^4 times x^2 is x^6.

Thus, in the top part, we have 12 times x^6.

In the bottom part we have 3 times x^3.

This is exactly the answer for d, but this is not a simplified answer.

Dividing 12 by 3 we have 4, and x^6/x^3 gives us x^(6-3) which is x^3.

Therefore, we have the correct answer: 4x^3

Each of the letters in the word MONASTIC are on separate cards face down on the table. If you pick a card at random, what is the probability that the letter on it will be "A"?

show work pls!

Answers

Answer:

1/8 = 12.5%

Step-by-step explanation:

There are 8 letters in the word MONASTIC.  One of the letters is A.

So the probability is 1/8, or 12.5%.

Calvin was told he should drink 2 liters of water
everyday. If he did this, how much water would
he drink in 1 week (7 days)?

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

Multiply the values

2 x 7 = 14

He would drink 14 litres of water in a week

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

can someone help me solve this please?

Answers

Answer:

h = 9

Step-by-step explanation:

You can use the Pythagorean theorem to solve this.  Consider each half of the main triangle their own triangles.  

h = a

a^2 + b^2 = c^2

or

a^2 = c^2 - b^2

a^2 = 10^2 - 5^2

a^2 = 100 - 25

a^2 = 75

a = √75

a = 8.66, or 9

h = 9 (when rounded)

PLEASE HELP WITH MATH

Answers

Answer:

Volume: 105 cubic centimeters

Mass of doorstop: 924 grams

Step-by-step explanation:

First, you need to find the area of the triangular base of the prism. The area of the triangle is bh/2=10*6/2=30 square centimeters. Multiplying this by the height of the doorstop of 3.5, you get a total volume of 105 cubic centimeters. Since each cubic centimeter weighs 8.8 grams, the whole thing weighs 105*8.8=924 grams. Hope this helps!

Answer:

volume 105 cm³

mass 924 g

Step-by-step explanation:

This is triangular prism so (Volume) V = (Area of base) B * (Height) H

In this case is triangle is the base shape with base b =10cm and height h= 6cm so

B =1/2 bh = 1/2 *10*6 =30 cm²

(Height) H = 3.5 cm

so V = 30*3.5 = 105 cm³

1 cm³ has a mass ≈ 8.8g

so the mass of the doorstop is volume * mass per cm³

105 * 8.8 = 924 g

Calculate the volume of this cylinder, giving your answer to 1 decimal place. ​

Answers

Answer:Sorry but I know only this much...

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me....

Answer:

192π^3

Step-by-step explanation:

the formula for calculating volume of a cylinder is πr^2h (r : radius, h : height)

π×4^2×12 = 192π^3

A news report says that 28%
of high school students pack their lunch.
Your high school has 600
600
students.

How many students in your high school would you expect to pack their lunch?

Answers

Answer:

168

Step-by-step explanation:

28% = 28/100

28/100 * 600 = 168

I NEED HELP. THIS IS ABOUT SCATTER PLOTS PLEASE PROVIDE AN EXPLANATION!! HELPPPPPPPP

Answers

Answer:

A y = -3/4x + 6

Step-by-step explanation:

We know that the plot decreases from left  to right so the slope is negative

That eliminates choices B and D

We also know that the y intercept is between 5 and 8  

That eliminates choice C

Howard needs new gutters for the front and both sides of his home. The front of the house is 50 ft 8 in., and each side is 22 ft 9 in. Wide. What length of gutter must he buy?

Answers

Answer:

95 ft 10 in

Step-by-step explanation:

We need to add the lengths of the front of the house and both sides of the house:

50 ft 8 in + 2(22ft + 9in)

= 50ft + 8 in + 44ft + 18in

= 94ft + 22in

12 inches = 1 foot

22 inches = 1 ft 10 in

Therefore, the length of the gutter he must buy must be:

94 ft + 1 ft + 10 in

= 95 ft 10 in

Hey can someone help please Whatb is the value of the 8 in 873 119

Answers

The value of 8 is 800,000 :)

how many diagonals are there in a polygon of 6o sides

Answers

Answer:

9 diagonals

Step-by-step explanation:

Number of Diagonals = n(n-3)/2

For example, in a hexagon, the total sides are 6. So, the total diagonals will be 6(6-3)/2 = 9.

Answer:  

9 diagonals  

Bit by bit clarification:  

Number of Diagonals = n(n-3)/2  

For instance, in a hexagon, the complete sides are 6.

Along these lines, the complete diagonals will be 6(6-3)/2 = 9.

8. ¿Cuál es la media de las calificaciones de los alumnos de quin-
to grado?
9, 9, 6, 8, 7, 9, 7, 6, 8,9, 8, 6, 7
a) 6.98
b) 7.75
c) 7.61
d) 9.03

Answers

La media se encuentra sumando todos los números 9+9+6+8+7+9+7+6+8+9+8+6+7 (te daría 99) y después divides el 99 entre la cantidad de números (son 13). Entonces divides 99/13 y te la 7.61.

La media de los alumnos de quinto grado es c) 7.61

Select all the points that are on the graph of the line below. Y=5-1/2x A: (0,5) B (0,10) C(1,2) D(1,4) E(5,0) F(10,0). Please help.

Answers

Answer:

A: (0,5)

F(10,0)

Step-by-step explanation:

Y=5-1/2x

Substitute the point into the equation and see if it is true

A: (0,5)

5 = 5 - 1/2(0)  

5=5  true   on the line

B (0,10)

10 = 5 - 1/2(0)  

10=5  false    not on the line

C(1,2)

2 = 5 - 1/2(1)  

2=4 1/2  false    not on the line

D(1,4)

4 = 5 - 1/2(1)  

4=4 1/2  false    not on the line

E(5,0)

0 = 5 - 1/2(5)  

0=2 1/2  false    not on the line

F(10,0)

0 = 5 - 1/2(10)  

0=5-5  true     on the line

2x + 4y = 12 y = A system of equations. 2 x plus 4 y equals 12. y equals StartFraction one-fourth EndFraction x minus 3.x – 3 What is the solution to the system of equations? (–1, 8) (8, –1) (5, StartFraction one-half EndFraction) (StartFraction one-half EndFraction, 5)

Answers

Answer:

This guy is a fooooool the real answer is

Step-by-step explanation:

x=8 and y=−1

so : (8,-1)

From the system of equation 2x + 4y = 12 and  y equals StartFraction one-fourth EndFraction x minus 3. The solution to the system of equations in terms of (x, y) is equal to ( (8, -1)

The system of equations is given as:

2x + 4y = 12        -------  (1)

[tex]\mathbf{y = \dfrac{1}{4}x - 3} \ \ \ ----(2)[/tex]

So, from equation (1), we will replace the value of y which is [tex]\mathbf{ \dfrac{1}{4}x - 3} }[/tex] in order to be able to solve for x.

i.e.

[tex]\mathbf{2x + 4\Big ( \dfrac{1}{4}x -3 \Big) = 12 }[/tex]

Open brackets

2x + x -12  = 12

3x - 12 = 12

3x = 12 + 12

3x = 24

x = 24/3

x = 8

Now, we will replace the value of x into equation (2) to be able to solve for y.

[tex]\mathbf{y = \dfrac{1}{4}(8) - 3} }[/tex]

y = 2 -3

y = -1

Therefore, the solution to the system of equations in terms of (x, y) is equal to ( (8, -1)

Learn more about the system of equations here:

https://brainly.com/question/12895249?referrer=searchResults

Please answer correctly!!!!!!! Will mark brainliest !!!!!!!!!!!!!

Answers

Answer:

60

Step-by-step explanation:

At the time of launch, x will be 0 because the object hasn't been thrown yet. Therefore, its height will be 60.

Answer:

The answer for it is 60.

Step-by-step explanation:  

5*0+20*0+60

And due to the simplification by keeping the value 0 in place of x. So if any term is multiplied with 0 the value of that term will be 0. So by adding 0+0+60 . Therefore , the height will be 60 .

More explanation:

At the time of launch, x will be 0 because the object have not  been thrown yet.So its height will be 60.

which of the following functions is graphed below?​

Answers

The answer is B , that is gonna be your correct answer

FOR 14 points! A group of friends are going to see the newest action movie. The price of a ticket is $6.25. As a group, they spent $12 on refreshments. If they spent a total of $30.75 on tickets and refreshments, how many people went to the movies? Which equation represents the scenario? How many people went to the movies?

Answers

x = number of people went to movies

equation

6.25x + 12 = 30.75

6.25x = 30.75 - 12

6.25x = 18.75

      x = 18.75 / 6.25

      x = 3

answer

3 people

Answer:

6.25x + 12 = 30.75

3 people

Step-by-step explanation:

write an expression that shows the cost of brochures each brochure cost 40 cents i need 4100 brochures and have a total budget of 1900 dollars

Answers

Answer:

1900 ≥50 + .40 * b

1900 ≥50 + .40 *4100

Step-by-step explanation:

Cost = rush fee + cost per brochure * number of brochures

 cost= 50 + .40 * b where b is the number of brochures

This must be less than or equal to 1900 dollars

1900 ≥50 + .40 * b

We are getting 4100 brochures

1900 ≥50 + .40 *4100

1900≥50 + 1640

1900 ≥1690

We can get the brochures

You buy a touch iPod for $200, but it loses value at a rate of 10% each year. How much is your phone worth after 3 years?

Answers

Answer:

145.8

Step-by-step explanation:

200 times .9 times .9 times .9

Because it is 3 years

Answer:

$266.20

Step-by-step explanation:

o=200

r=.1

t=3

w=200(1+.1)^3

w=200(1.331)=266.2

Choose the correct simpilfication of (7x^3-8x-5)+(3x^3+7x+1)

Answers

Answer:

Step-by-step explanation:

(7x³-8x-5)+(3x³+7x+1) =7x³ - 8x - 5 + 3x³ + 7x + 1

Combine the like terms

      = 7x³ + 3x³ - 8x + 7x - 5 + 1

Now, add/ subtract the like terms

     = 10x³ - x - 4

Answer:

[tex]10x^{3} -x-4[/tex]

Step-by-step explanation:

[tex](7x^3-8x-5)+(3x^3+7x+1)[/tex]

[tex]7x^3+-8x+-5+3x^3+7x+1[/tex]

[tex](7x^{3} +3x^{3} )+(-8x+7x)+(-5+1)[/tex]

[tex]10x^{3} -x+-4[/tex]

BRAINLIEST!!! Divide. (See image.)

Answers

Answer:

Step-by-step explanation:

x-6)3x²-24x+35 (3x-6

     3x²-18x

   -      +

  __________

          -6x+35

         -6x +36

        +     -

       ________

              - 1

      _________

quotient=3x-6

remainder=-1

Calculate area of triangle

Answers

Answer:

60cm^2

Step-by-step explanation:

15 times 8 = 120

divided by 2  = 60

Answer:

60

Step-by-step explanation:

8x15=120

120/2=60

William’s salary is £24 000
His salary increases by 4%.
Work out William’s new salary.

£ ............................

Answers

His new salary is £24960

24000 x 0.04 = 960
24000 + 960 = 24960

A given line has the equation .

What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9)?




Answers

Answer:

y=6x+9

Step-by-step explanation:

The question is incomplete. find the complete question below;

A given line has the equation 2x + 12y = −1. What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9)? y = ( )x + 9

The equation of a line is represented as y = mx+c where m is the slope and c is the intercept. our ficus is to get both the slope and the intercept and then substitute then into the equation of the line.

First let us get the slope of the known line:

Rewriting the equation 2x + 12y = −1 in its standard form, we have;

12y = -2x-1

y = -1/6 x - 1/12

the slope of the line is -1/6

Since this line is perpendicular to the unknown line, the slope of the unknown line say M = -1/(-1/6) = 6

For the intercept

we will substitute the point (0,9) and the slope M = 6 into the equation

y = Mx+c to get the value of the intercept.

9 = 6(0)+c

c = 9

Finally, we will find the equation of the line perpendicular to the given line using the equation y = mx+c

Substituting m = 6 and c = 9 into the equation, we have y = 6x+9 or y-6x = 9

The unknown equation in slope intercept form is y=6x+9

The new equation of the perpendicular line is y = 6x + 9.

The slope of the line

The slope of the line is determined from the given equation of the line.

[tex]2x + 12 y = -1\\\\12y = -1 - 2x\\\\y = \frac{-1}{12} - \frac{2x}{12} \\\\y = \frac{-1}{12} - \frac{x}{6}\\\\M = \frac{-1}{6}[/tex]

The slope of the perpendicular line

[tex]M_1 = \frac{-1}{M} = \frac{-1}{-1/6} = 6[/tex]

The new equation of the perpendicular line

[tex]y = mx + c\\\\9 = 6(0) + c\\\\9 = c\\\\y = 6x + 9[/tex]

The complete question is below:

A given line has the equation 2x + 12y = −1. What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9)? y = ( )x + 9

Learn more about equation of line here: https://brainly.com/question/13763238

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