1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
WARRIOR [948]
2 years ago
7

Solve for 100 points

Mathematics
2 answers:
lesya [120]2 years ago
5 0

Answer:

  1. 3:5
  2. 9:25
  3. 3:5
  4. 3:5
  5. 27:125
  6. 3:5

Step-by-step explanation:

Here it is given that the scale factor of two cylinders is 3:5 . And we need to find out the ratios of circumference , surface area , height , diameter , volume and radii of the cylinders .

So let us assume that ,

  • Radius of first cylinder be 3x and that of second be 5x .
  • Height of first cylinder be 3y and that of second be 5y .

Formulas to be used :-

<em>Circumference</em><em> </em><em>:</em><em>-</em><em> </em>The base of cylinder is circle . So ,

\longrightarrow C = 2\pi r

<em>S</em><em>u</em><em>r</em><em>f</em><em>a</em><em>c</em><em>e</em><em> </em><em>A</em><em>r</em><em>e</em><em>a</em><em> </em><em>:</em><em>-</em><em> </em>The curved surface area is ,

\longrightarrow S.A. = 2\pi rh

<em>D</em><em>i</em><em>a</em><em>m</em><em>e</em><em>t</em><em>e</em><em>r</em><em> </em><em>:</em><em>-</em><em> </em>

\longrightarrow d = 2r

<em>Volume</em><em> </em><em>:</em><em>-</em>

\longrightarrow Volume = \pi r^2h

Now refer to the attachment for answer .

BaLLatris [955]2 years ago
3 0

Answer:

1. 3:5

2. 9:25

3. 3:5

4. 3:5

5. 27:125

6. 3:5

Step-by-step explanation:

It is given that the scale factor of two cylinders is 3:5 . And we need to find out the ratios of circumference , surface area , height , diameter , volume and radii of the cylinders.

You might be interested in
An author published a book which was being sold online. The first month the author sold 21000 books, but the sales were declinin
Wittaler [7]

Answer:  119,616

You may have to erase the comma when inputting the answer.

=======================================================

Explanation:

The author sells 21,000 books in the first month.

Then they sell 21,000*(1-0.12) = 21,000*(0.88) = 18,480 in the second month.

Then they sell 18,480*(1-0.12) = 18,480*(0.88) = 16,262.4 = 16,262 in the third month.

And so on. These values follow a geometric sequence with first term a = 21,000 and common ratio r = 0.88

We can think of the 0.88 as 88% of the original value (since losing 12%, we keep the remaining 88%)

-------------

Use the formula below to sum the first 9 terms of the geometric sequence

Plug in a = 21000 and r = 0.88

S_n = a*\frac{1-r^n}{1-r}\\\\S_9 = 21000*\frac{1-0.88^9}{1-0.88}\\\\S_9 \approx 21000*\frac{0.6835216}{0.12}\\\\S_9 \approx 21000*5.6960133\\\\S_9 \approx 119,616.2793\\\\S_9 \approx 119,616\\\\

The author sold about 119,616 books over the course of the first nine months.

4 0
3 years ago
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp
beks73 [17]

Answer:

(5.4582 ; 6.8618)

Step-by-step explanation:

Given the data:

6 10 2 6 3 3 3 6 6 6 6 5 8 9 10 10 7 9 3 6 5 10 9 9 10 3 8 6 6 3 3 6 6 5 4 10 9 3 5 7 10 6 3 8 6 8 3 3 5 5

Sample mean, xbar = Σx / n

n = sample size = 50

ΣX = 308

xbar = 308 / 50 = 6.16

Using a Calculator :

The sample standard deviation, s = 2.469

Confidence interval = xbar ± margin of error

Margin of Error = Tcritical * s/sqrt(n)

Tcritical at 95% ; df = 50 - 1 = 49

Tcritical = 2.010

Hence,

Margin of Error= 2.010 * (2.469/sqrt(50)) = 0.7018

Lower boundary : (6.16 - 0.7018) = 5.4582

Upper boundary : (6.16 + 0.7018) = 6.8618

(5.4582 ; 6.8618)

4 0
3 years ago
If AB = 4 centimeters, which is closest to BC?
Misha Larkins [42]

Answer:

The correct answer AC = 11.52

Step-by-step explanation:

From the figure attached with this answer shows the triangle ABC.

BC=4 centimeters, m angle B=m angle c, and m angle a = 20 degrees

To find AC

From the figure we can see that D is the mid point and AD⊥BC

Then BD = CD = 4/2 = 2 cm

<BAD = 10° and <CAD = 10°

By using trigonometric ratio,

sin 10 = CD/AC = 2/AC

AC = 2/sin 10 = 2/0.1736 = 11.52

Therefore the value of AC = 11.52 cm

4 0
3 years ago
Read 2 more answers
Please help me with the answer ASAP
AleksandrR [38]

Answer:

g(x) is greater

Step-by-step explanation:

it is greater because when mulitplying the function g and x you get a higher number than you would with f(x)

hope that helps!!

5 0
3 years ago
Which one?<br><br> a) <br> b) <br> c)<br> d)
Contact [7]

Answer:

d

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Check out this rectangular prism. Find the surface area of the rectangle prism (above)) using its net (below)
    10·1 answer
  • Which shows how the distributive property can be used to evaluate 7×84/5
    5·1 answer
  • Graph the first six terms of a sequence where a1 = -3 and r = 1.5
    5·1 answer
  • Jacob ate 21 chips ahoy cookies in 1 hour and Bryant ate 25 chips ahoy cookies in the same time, at this rate, how mant whole co
    14·1 answer
  • Draw a graph for 4,16 ; 6,36 ; 8,64 ; 10,100 points​
    6·1 answer
  • A blindfolded contestant makes a random selection from a bag
    12·1 answer
  • Help me 20 points!!! 7th-grade math.
    6·1 answer
  • Please help:)
    12·1 answer
  • mark has a board that is 12 feet long he cuts the board into 8 peices that are the same lenght. how long is each peice
    14·1 answer
  • Camille and her 3 teammates ran a 1500-meter relay in 5.564 minutes. What was the average running time for each team member?​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!