find measure of the missing angles and justify your answer with postulates and theorems.

Answer:

  a. height: 36 units

  b. radius: 4 units

Step-by-step explanation:

The volume of a cone is given by the formula ...

  V = 1/3πr²h . . . . . for radius r and height h

This tells you the volume is jointly proportional to the height and the square of the radius. This means that for a given volume, the height is inversely proportional to the square of the radius. We can use this proportionality to answer the questions here.

__

The radius of Cone B is 2 units. Compared to Cone A, the radius of Cone B is 2/6 = 1/3 of the radius of cone A. The square of this ratio is (1/3)² = 1/9, and the inverse of that square is 9/1. This means the height of Cone B is 9 times the height of Cone A, so is ...

  Cone B height = 9 × 4 units = 36 units

__

The height of this Cone B is 9 units, whereas the height of Cone A is 4 units. This means the height of Cone B is 9/4 times the height of Cone A. This is the inverse of the square of the ratio of radii of Cone B to Cone A. Inverting the height ratio, we get 4/9. Taking the square root of that, we get √(4/9) = 2/3. This means the radius of Cone B is 2/3 the radius of Cone A:

  Cone B radius = 2/3 × 6 units = 4 units

_____

Additional comment

We can check the above dimensions using the volume formula.

a. V = 1/3π(2 units)²(36 units) = 48π units³

b. V = 1/3π(4 units)²(9 units) = 48π units³

These are the expected volume, so the answers check OK.

Answer:

22

Step-by-step explanation:

5x + 8 = 118

5x = 110

x = 22

The number of minutes that would pass before they were 1870 feet apart is 5.47 minutes

Since they are initially 10 feet apart, their total distance apart after t minutes is D = d + 10 + d'

D = 180t + 10 + 160t

D = 340t + 10

Making t subject of the formula, we have

t = (D - 10)/340

Since they are 1870 feet apart after t minutes, D = 1870 feet.

t = (D - 10)/340

t = (1870 - 10)/340

t = 1860/340

t = 5.47 minutes

So, the number of minutes that would pass before they were 1870 feet apart is 5.47 minutes

Learn more about minutes of distance apart here

https://brainly.com/question/8783264

Answer:

$5.40

Step-by-step explanation:

First, find Dave's purchase. To do this, you multiply 15 by the tax percent and add that to the original.

So:

15 x 8% = 15 x 0.08 = 1.2

15 + 1.2 = 16.2

Next, do the same for Mel's purchase:

20 x 8% = 20 x 0.08 = 1.6

20 + 1.6 = 21.6

Then, you subtract Dave's purchase from Mel's:

21.6 - 16.2 = 5.4

This comes out to $5.40

Answer:

Step-by-step explanation:

simply plug in the given values for the letter and do the math.

4(5) + 10 - 12 = 20+10-12 = 18.

Answer:

18

Step-by-step explanation:

w=12

x=10

y=5

z=9

4 (5)+10-12

20+10-12

BODMAS

addtition then subtraction

20+10=30

30-12

=18

Brainiest please

Answer: 6 out of 14 or 3 out of 7

Step-by-step explanation: just add up all the ties and put polka dot ties out of the total and

Answer:

x=6?

Step-by-step explanation:

I think it's this answer im not sure

Answer:

Median: 5

Mean: 6

Step-by-step explanation:

4,4,4,5,7,9,9

(4x3)+5+7+(9x2)

12+5+7+18

17+25=42

42÷7=6

Answer:

( - 1 , - 2 )

( 7 , 1 )

(-1 , 1 )  

(7, - 2)

Step-by-step explanation:

Find the coordinates of all  vertex

Solve:

(-1, -2 ) ⇒ this point is the vertex D of the pre-image

( 7 , 1 ) ⇒  this point is the vertex B of the pre-image

(-1, 7 ) ⇒ this point is not a vertex of the pre-image

(-1, 1 ) ⇒  this point is the vertex A of the pre-image

( 7 , -2 ) ⇒ this point is the vertex C of the pre-image

Thus, the answer is

( - 1 , - 2 )

( 7 , 1 )

(-1 , 1 )  

(7, - 2)

~Lenvy~

Answers:

A ... (–1, –2)

B ... (7, 1)

D ... (–1, 1)

E ... (7, –2)

Step-by-step explanation:

Got it correct on Edge2020

Answer:

1 is .83 or .80 if your rounding and 10 is 8.3 but if your rounding its just 8

Step-by-step explanation:

Its because 5/6 is .83 so for every 1 white there .83 red

Answer:

the answer would be  3x^2 + 29x + 6/15x(x+2)

Answer:

1)ur first answer is 12

2)Your median is 9

3)9

4) range 7

Step-by-step explanation:

it’s the most common number

The middle numbers are 8 and 10.9 is the number in between them which mean it is the median

4) you subtract the biggest number with the smallest one 12-5=7

Answer:

[1] 12

[2] 9

[3]  9

[4] 5

Step-by-step explanation:

[1] What is the mode for the following set of data?

5,7,8,10,12,12

Answer = 12

Explanation: Mode is what most appears in data set. Thus, we see that 12 is the mode.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[2] What is the median for the following set of data?

5,7,8,10,12,12

Answer = 9

Explanation:

Median is basically what in the middle.

5,7,8,10,12,12

5,7,8,10,12,12

Since there are two number in the middle: Add them up and then divide by 2. 8 + 10 = 18/2 = 9

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[3] What is the mean for the following set of data?

5,7,8,10,12,12

Answer = 9

Explanation:

Mean is add all the number up and then divide by total number in data set

5 + 7 + 8 + 10 + 12 + 12 = 54

Total number in data set : 6

54/6 = 9

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[4] What is the range for the following set of data?

5,7,8,10,12,12

Answer = 5

Explanation:

Range = IQR = Q3 - Q1

Knowing that;

Quartiles:

Q1 --> 7

Q2 --> 9

Q3 --> 12

Hence, 12 - 7 =5

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Lenvy~

Answer:

3

Step-by-step explanation:

12 Divided By 4 Is 3

And 3 Is A Whole Number

Your answer is 3

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Step-by-step explanation:

it clearly says (and also shows it by specifying 4cm × 4cm side lengths) : a square base.

so, all net diagrams not having a square in the middle (but a rectangle or a triangle) are out.

and in fact, all 3 that have a square in the middle, are valid nets that would fold up to the pyramid : the 2nd, 4th and 6th.

Answer:

y=2x-3

Step-by-step explanation:

Hi there!

We are given the points  (0, –3) and (4, 5)

We want to find the equation of the line between these points

There are 3 ways to write the equation of the line, yet the most common way is slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

To write the equation of the line in this way, we need to first find the slope of the line
The slope can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We already have 2 points, but let's label their values to avoid confusion and mistakes when calculating.

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{5--3}{4-0}[/tex]

Simplify

m=[tex]\frac{5+3}{4-0}[/tex]

m=[tex]\frac{8}{4}[/tex]

Divide

m=2

We found the slope of the line.

Here is the equation of the line so far:

y=2x+b

Now let's find b

As stated before, b is the y intercept of the line, which is the point where the line passes through the y axis; the value of x at the y intercept is 0

One of the points we were given (0, -3) is actually the y intercept of the line!

The value of b is the value of y at the y intercept; in this case, b is equal to -3

Now substitute -3 as b in the equation.

y=2x-3

Hope this helps!

See more on this topic here: https://brainly.com/question/27172025

Answer:

-3

Step-by-step explanation:

[tex]0.002 = 2 \times {10}^{ - 3} \\ \implies \: x = - 3[/tex]

168 minutes or 2 hours 48 minutes

Step-by-step explanation:

Since 12 tyres is 3 times 4 tyres, it will take 3 times as long as 56 minutes.

3 * 56 minutes = 168 minutes

We can convert the answer to hours and minutes.

60 minutes = 1 hour

120 minutes = 2 hours

168 minutes – 120 minutes = 48 minutes

168 minutes = 2 hours 48 minutes

Answer: 168 minutes or 2 hours 48 minute

2x - 5

I just know and am positive with my answer. Hope this helped and have a good one!

If Jack finish them all in 5 days, then he can solve m/5 math problem in just one day.

From the given question, jack can only solve m math problems in 5 days, this can be expressed as:

m problems = 5 days

The number of questions he can solve per day is expressed as:

x = 1 day

Take the ratio

m/x = 5/1

5x = m

x = m/5 math problems

This shows that jack can solve m/5 math problem in just one day

Learn more on ratio here: https://brainly.com/question/2328454

Answer:

6 millimeters

Step-by-step explanation:

The formula for a rectangle is length * height = area.

Since we know the area and height, we can plug it in to the formula:

length * 5.2 = 31.2

So the length is just dividing 5.2 in 31.2 which gives 6 millimeters.  

Step 1: Find the area of the larger rectangle

Area of a rectangle = base x height

Area = 4 x 3 = 12

Step 2: Find the area of the other rectangle

The tricky part about this one is that we aren't given the length of this rectangle. We do know, however, that the whole base of the figure is 6 and 3 units are taken up by the first rectangle. Therefore, the length of this rectangle is 3.

Area = 2 x 3 = 6

Step 3: Find the area of the figure

Now that we know the area of both rectangles by themselves, all that's left to do is add them up.

6 + 12 = 18

Answer: 18

Hope this helps!

Answer:

18

Step-by-step explanation:

A=bh

A=3x4 A=3x2

12+6=18.

Answer: ∠GFE ≅ ∠GHJ

Step-by-step explanation:

In triangle EFG, we have side FG (which is opposite angle E) and EF (the side opposite angle G).

For SAS, we need the angle in between these sides, which would be angle F.

Answer:

B.∠GFE ≅ ∠GHJ

Step-by-step explanation:

got it correct on my quiz

Answer:

1,600

Step-by-step explanation:

I did a bit of guessing becuase I don't know the exact way to reverse the formula, but here is what I did!

I guessed around 1,550 at first, but it was too low. I kept increasing the base number until I reached 1,600, and came to the conclusion by doing the equation;

1,600(0.6)=960

Then, since it increases each month by 60% of the previous month's value, you do

1,600+960=2,560

Answer:

Step-by-step explanation:

7) m + 6 > 17

   m > 17- 6

8. 500 + p > 1500

9. Let cost of pencil be 'x' and it is 5 less than y

x < y -5

Cost of pencil and ruler is less than $ 30.

x + y < 30

10. r + 5 > 17

         r > 17 - 5

         r > 12

12.She is spending $ x. So, we have to subtract from $10.

10 -x < 5

By analyzing the data tables given, we will see that:

1) The range is 28.

2) The graph can be seen at the end.

3) There are clusters at 16 and 17, and 25 is an outlier.

4) The range decreases almost by 50%.

The range is defined by the difference between the largest and smallest values from the data set.

So the range is: R = 95 - 67 = 28

The correct option is D.

For each time that a number appears, you need to make a dot above the correspondent value.

The graph can be seen below.

3) we have clusters on 16 and 17, and as you can see, the value 25 is really away of the rest of the values, so we have a gap, and 25 is an outlier.

4) With the 25, the range is:

25 - 16 = 9

If we remove it, the range is:

21 - 16 = 5

So the range decreases almost by a 50%.

If you want to learn more about data sets, you can read:

https://brainly.com/question/3514929

The answer is A.

Pick A.

Good luck

Answer:

If the whole transaction is written separately from the beginning, an algebraic equation is obtained

Step-by-step explanation:

[tex]4x = s[/tex]

[tex] - 2x = w[/tex]

[tex]w \times s = - 8 {x}^{2} [/tex]

[tex]w = s = s \times s = 16 {x}^{2} [/tex]

[tex] - 8 {x}^{2} + 16 {x}^{2} = 8 {x}^{2} [/tex]

This is the way to get the answer

The length of the wire is the perimeter of the wire

The radius of the circle is 1.59 meters

The length of the wire is given as:

L  = 20m

When cut into two pieces, we have:

The circumference of the circle is calculated using:

C = 2πr

So, we have:

2πr = 10

Make r the subject

r = 10/2π

Evaluate the quotient

r = 1.59

Hence, the radius of the circle is 1.59 meters

Read more about radius at:

https://brainly.com/question/9554871