Find the area of a vertical cross section through the centers of the bases of a cylinder with height of 27 inches and a circumference of about 47.1 inches. Use 3.14 for π.

Answers

Answer 1

Answer:

405 in^2

Step-by-step explanation:

Given data

Height= 27in

Circumference= 47.1 in

let us find the radius and the diameter of the base of the cylinder

from

C=2πr

47.1= 2*3.142*r

47.1= 6.284r

r= 47.1/6.284

r= 7.5 in

Diameter= 2r

D= 7.5*2

D= 15in

Hence the area of the cross-section

=H*D

=27*15

=405 in^2


Related Questions

Yuki went on a walk around her school. The school was mapped onto a grid where each unit represented one foot in real life. She started at the entrance, which was located at (50, 25). She walked to the library at (50, 100). Then she went to her math class which was located at (200, 100). She went to her locker at (200, 25) before she went back to where she started. How far did she walk in all?

Answers

Answer:

750

Step-by-step explanation:

50+25+50+100+200+100+200+25

HELP!!
A.x=6
B.x=24
C.x=12
D.x=12 sqr root 3
E.x=36

Answers

The answer is 24 : 12 x 1 / cos60 = 24

Which one is it??????

Answers

the red function is reflected across the x axis and shifted down

Which of the following sets of side
lengths would not form a triangle?
A 29, 39, 69
B 29, 38, 49
C 29, 41, 19
D 29, 37, 10

Answers

Answer:

A

Step-by-step explanation:

Because 29+39=68

68<69

therefore this would not make a triangle!

Answer:

A.

Step-by-step explanation:

29 + 39 = 68 which is less than 69 so A is not a triangle.

Pls help ASAP!! 15 points?

Answers

Answer:

4 gte g

Step-by-step explanation:

Answer:

g < 4

Step-by-step explanation:

−12<−3g

Step 1: Flip the equation.

−3g>−12

Step 2: Divide both sides by -3.

−3g

−3

>

−12

−3

g < 4

can someone help me with this please?!
the choose options for both are: less than, equal to or greater than

Answers

Answer:

The rate of function 1 is greater than function 2, the y intercept of function 1 is 3

Step-by-step explanation:

HELP I NEED HELP ASAP

Answers

Answer:

constant... I think... sorry if it's wrong... just trying to help ;-;

Step-by-step explanation:

Hope this helped! Good luck! :)

Answer:

linear

Step-by-step explanation:

if you put it into an equation, it would be y = 5 + 2x, which is a linear (straight line) equation

What is the average rate of change for this quadratic function for the interval
from x= 1 to x = 3?
X
-5
5
-10+

Answers

Answer: -4

A P E X

Step-by-step explanation:

Find the distance between the points.
(-1,-7) and (3, - 7)

Answers

The distance between (-1,-7) and (3,-7) is 4.
The distance is 4 because I used the distance formula

what is the inequality of -5x + 19 ≥ 9

Answers

Answer:

x<=2

Step-by-step explanation:

-5x+19>=9

-5x>=9-19

-5x>=-10

5x>=10

x>=10/5

x>=2

x<=2

9 (x - 2) = 7x + 5
Does x have a value hurry only 10 minutes left!!

Answers

Answer:

x = 11.5

Step-by-step explanation:

9 (x - 2) = 7x + 5

9x - 18 = 7x + 5

    +18          +18

9x = 7x + 23

-7x   - 7x

2x = 23

---    ---

2       2

x = 11.5

 

Would it be a b c or s please answer fast

Answers

Answer:

Step-by-step explanation:

it is your first choice

-4.4+3.6[tex]\geq[/tex]1.6x

-0.5[tex]\geq[/tex]x

what this answer
954328- 864597

Answers

Answer:

Answer is 89,731

Step-by-step explanation:

I hope it's helpful!

Answer:

89731

Step-by-step explanation:

954328 - 864597

= 89731

Hope this helps :)

Let me know if there is any mistake!!

Which of the following is a polynomial?
A. X^4+ x^-4+ 16
B. 1/2+ 2
C. x2-1
D. (x^6- 2)
(x^4 +3)

Answers

A. Because an expression with one or more terms is called a polynomial

race borrows $135,000 at a yearly simple interest rate of 4.5%. How much less would she pay if she pays the loan off in 15 years rather than in 30 years?

Answers

Answer:

$226,125

Step-by-step explanation:

the annual percentage rate is $6,075 (135,000×.045)

multiply $6,075 for 15 years = $91,125

add $135,000 (amount borrowed) and $91,125 (amount of interest) = $226,125

She would pay $91,125 less if she pays the loan off in 15 years rather than in 30 years.

What is Simple interest?

To calculate simple interest, multiply the loan principal by the interest rate, then by the loan's period. Borrowers can get a rough estimate of the cost of borrowing by calculating simple interest. Simple interest loans are frequently used for auto loans and short-term personal loans.

As per the given data:

Money borrowed by race = $135,000

Simple interest rate = 4.5%

Principal amount (P) = $135,000

Interest paid = [tex]\frac{P \times R \times T}{100}[/tex]    {T is time in years}

Interest paid when loan in paid in 15 years:

=  [tex]\frac{135000 \times 4.5 \times 15}{100}[/tex]  = $91,125

Interest paid when loan in paid in 30 years:

=  [tex]\frac{135000 \times 4.5 \times 30}{100}[/tex] = $182,250

Amount she pays less = $182,250 -  $91,125 = $91,125

Hence, she would pay $91,125 less if she pays the loan off in 15 years rather than in 30 years.

To learn more on Simple interest, click:

brainly.com/question/30964667

#SPJ2


Carla was asked to draw all the lines of symmetry for a regular pentagon. She drew
the picture below. What was Carlas mistake? Explain in detail what she did wrong
and what the correct image would look like.

Answers

Answer:

Simple, Her Pentagon is not straight

Step-by-step explanation:

Carla's Pentagon is not straight. Her symmetry line is off scale. Simply fix the Line on the pentagon And it will be correct.

Hope this helps ^

We have that the correct Pentagon should have

Her Pentagon lacks perpendicularity between the two base PointsHer Pentagon lacks perpendicularity between the two middle pointsThe vertical link to the top vertex is not straight

Symmetry

This can be defined as an exact correspondence between different part of a system .

Therefore it can be said that Carla's Pentagon lacks Symmetry

Where a

Pentagon

is defined as a a shape with five sides and five angles

In this sense the is absolutely nothing with Carla's Pentagon

But if Carla is going for a pentagon with equal sides and and, Then

Her Pentagon lacks perpendicularity between the two base PointsHer Pentagon lacks perpendicularity between the two middle pointsThe vertical link to the top vertex is not straight

For more information on this visit

https://brainly.com/question/17054992

The mid point of ab is m(-2,-6) if the coordinates of a are (-1,4) what are the coordinates of B

Answers

Answer:

i hate thsi coordinate chapter its very difficult chapter u know

Last year, Isabel opened an investment account with 6600 . At the end of the year, the amount in the account had decreased by 24.5%. How much is this decrease in dollars? How much money was in her account at the end of last year?

Answers

Answer:

a. $1,617

b. $4,983

Step-by-step explanation:

a. The account suffered a decrease of 24.5% of the original sum of $6,600.

This amount in cash is:

= 24.5% * 6,600

= $1,617

b. If the account reduced by $1,617, the balance left is:

= 6,600 - 1,617

= $4,983

The area of a rectangle is 44m2. Work out the missing length x.

Answers

Answer:

Your answer is

How to determine length without width or other things.

11*4,,,

22*2

Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.

I need that urgently.

Answer:

44=(L)ength x (W)idth

if x=length, x=44/W

if x=width, x=44/L


Expand (5x – 3y + 2) using identity.​

Answers

Answer:

[tex](5x - 3y + 2)^2=25x^2+9y^2+4-30xy-12y+20x[/tex]

Step-by-step explanation:

We need to expand (5x – 3y + 2)² using identity.

Using identity,

[tex](a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ac[/tex]

We have, a = 5x, b = -3y and c = 2

So,

[tex](5x - 3y + 2)^2=(5x)^2+(-3y)^2+2^2+2(5x)(-3y)+2(-3y)(2)+2(2)(5x)\\\\=25x^2+9y^2+4-30xy-12y+20x[/tex]

So, the required answer is [tex]25x^2+9y^2+4-30xy-12y+20x[/tex].

Find the discriminant of x2-6x -10 = 0, and determine the number of real solutions of the equation.​

Answers

Answer:

76

2 real solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Standard Form: ax² + bx + c = 0

Discriminant: b² - 4ac

Positive - 2 solutions Equal to 0 - 1 solution Negative - No solutions/Imaginary

Step-by-step explanation:

Step 1: Define

x² - 6x - 10 = 0

Step 2: Identify Variables

Compare quadratic.

x² - 6x - 10 = 0 ↔ ax² + bx + c = 0

a = 1, b = -6, c = -10

Step 3: Find Discriminant

Substitute in variables [Discriminant]:                                                            (-6)² - 4(1)(-10)[Discriminant] Evaluate exponents:                                                                36 - 4(1)(-10)[Discriminant] Multiply:                                                                                    36 + 40[Discriminant] Add:                                                                                          76

This tells us that our quadratic has 2 real solutions.

A cuboid with a square base of side length 6 cm and height 10 cm then its volume equal what in Sixth grade of primary school

Answers

Answer:

360

Step-by-step explanation:

Volume of cube is s^3

Volume of a rectangular prism is BH, OR LWH

Since the base is a SQUARE, and it has a side length of 6 cm, the other side length is also 6 cm. 6 x 6 x 10 = 360 cm cubed.

Find the missing exponent.
?
916 x 918
x 918 = 9

Answers

Answer:

um i think its 6

Step-by-step explanation:sorry if im wrong

How far is the portion of her route from A to D? Round to the nearest whole number. Explain. I NEED IT BY TONIGHT SO PLSS SOMEONE HELP ME!

Answers

9514 1404 393

Answer:

  A to D is about 2087 ft

Step-by-step explanation:

For the portion of the path of interest, the sine and cosine relations apply.

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

__

AB is the adjacent side to the angle marked 33°, with hypotenuse 975 ft.

  cos(33°) = AB/(975 ft)

  AB = (975 ft)cos(33°) ≈ 817.70 ft

BC is the opposite side in the same triangle.

  sin(33°) = BC/(975 ft)

  BC = (975 ft)sin(33°) ≈ 531.02 ft

CD is the hypotenuse of the right triangle BCD. The side BC that we know is opposite the given angle, so the sine relation applies.

  sin(46°) = BC/CD

  CD = BC/sin(46°)

  CD = (531.02 ft)/sin(46°) ≈ 738.21 ft

__

Now we know the segments of the path of interest:

  A–D = AB +BC +CD

  A–D = 817.70 ft + 531.02 ft + 738.21 ft = 2086.93 ft

  A–D ≈ 2087 ft

_____

Additional comments

The attachment shows all of the segments computed working counterclockwise from A. The angles in triangle DEF are computed using the Law of Sines from sides DF and DE and angle DEF. Segments EG and GH are computed using the Law of Cosines.

When we get to points F, G, H, we find that there is some inconsistency with the locations that would be computed working clockwise using AB and angle BFA. This inconsistency shows up in an error in the 119° angle in the attached figure.

This means that segments on the back side of the route, along path EFGHA, will vary somewhat depending on how they're computed.

We assume that points B, C, F, G are collinear.

math is on the world. I need some ride until you want it owww ye brainly

Answers

Answer:

what

Step-by-step explanation:

i need help with these two due today plssss help me

Answers

Answer:

10. 264

11. 13

Step-by-step explanation:

10- When we are doing perimeter we add all the sides together. Since it's a square this time, we know all the sides are even at 66ft.

 66+66+66+66= 264

 I added 4 times for each side we have and we get the perimeter of 264

11- When dealing with area, all we need is two numbers. To get area we multiply the length and width. If we have the area and want either length or width, we can still easily do that. All we have to do is divide the area from your given number.

 65 divided by 5 is 13

 Area divided by Length is Width

Answer:

#10= 264

#11= 13

Step-by-step explanation:

#10: We can see that this is a square because it says so in the question so we can assume that if it is a square then all the lengths and widths are 66 feet. 4(66) = 264 or 66+66+66+66 = 264

#11: 65/5 = 13 because it is dealing with area, simply just divide the total of area by the known length to get the width.

133=7(1+2x) solve
Answer ASAP please

Answers

Answer:

x=9

Step-by-step explanation:

Step-by-step explanation:

133=7+14x

133-7=14x

14x=133-4

14x=129

14x=129

14 14

x=129

14

definición de variable independiente y variable dependiente

Answers

Answer:

hhhhs jjeguuw iiwhrbmeo

Need help
What is the equation of a line that passes through the point (0, -2) and has a slope of -3?

y = -2
y = -2x - 3
y = -3x - 2
y = -3

Answers

Answer:

y = -3x - 2

Step-by-step explanation:

Since the line passes through the point (0, -2), -2 is the y-intercept

Using the slope-intercept form for a line we have

y = -3x - 2

Circle D is shown. Line segment F E goes through point D. Line segment C D is shown. Line segment G H goes from one side of the circle to the other side. Line segment A B is outside of the circle and intersects the circle at point B.
In circle D, which is a secant?

EF
DC
Line segment A B
Line G H

Answers

A secant crosses the circle without passing through the center

The secant line is (c) line segment AB

How to determine the secant line

From the question, we understand that line segment AB passes through the circle, without passing through the center (i.e. point A) of the circle

This indicates that line segment AB is a secant

Given that the center of the circle is point D

Hence, the secant line is (c) line segment AB

Read more about secants at:

https://brainly.com/question/25871159

Answer:

D. Line GH

Step-by-step explanation: I just did it on edge 2023. Hope this helps!

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