A water tower in New York City has the shape of a cylinder with a cone on top. The cylinder has a diameter of 12 feet and a height of 15 feet. The roof has an inclination angle of 25 degrees

Answers

Answer 1

Answer:

a. 14.19 feet

b.  2504.26 cubic foot.

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

(a) Determine the height of the cone to the nearest tenth of a foot.

(b) Determine the overall volume of the tower to the nearest cubic foot.

Please have a look at the attached photo.  

My answer:

Given the information:

The cylinder has:

diameter of 12 feet => the radius : 6 feetheight of 15 feet

The cone has:  an inclination angle of 25 degrees

(a) Determine the height of the cone to the nearest tenth of a foot.

Let h is the height of the cone

The distance from C to A is 6 feet and the measure of the angle CAB is 25 degrees. The triangle ABC is a right triangle.

=> sin(CAB) = [tex]\frac{CA}{h}[/tex]

<=> h = [tex]\frac{CA}{sin25}[/tex]

<=> h = [tex]\frac{6}{sin25}[/tex]

<=> h = 14.19 feet

(b) Determine the overall volume of the tower to the nearest cubic foot.

overall volume = volume of the cone + volume of the cylinder

We have:

Volume of the cylinder = the height*the base area

= 15*[tex]r^{2}[/tex]*π

= 15*[tex]6^{2}[/tex]*π

= 1696.6 cubic foot.

volume of the cone = 1/3*the height*the base area

= 1/3*14.19*[tex]6^{2}[/tex]*π

= 534.76 cubic foot.

=> overall volume =  534.76 + 1696.6 = 2504.26 cubic foot.

Hope it will find you well.

A Water Tower In New York City Has The Shape Of A Cylinder With A Cone On Top. The Cylinder Has A Diameter

Related Questions

Find the total surface area of this object

Answers

Area of the total surface would be 402.12

The diagram below shows
The measure of GI is 80 degrees. What is the measure of

Answers

Answer:

∠ GHI = 40°

Step-by-step explanation:

The inscribed angle GHI is half the measure of the intercepted arc GI, thus

∠ GHI = 0.5 × 80° = 40°

The measure of the ∠GHI is 40°.

What is an Inscribed Angle?

An inscribed angle is the angle that an arc at any point on the circle subtends.

From the Inscribed angle theorem:

A circle's inscribed angle is half of the central angle that subtends the same arc on the circle, according to the inscribed angle theorem.

That means,

The measure of the ∠GHI

= the measure of the arc GI /2

= 80°/2

The measure of the ∠GHI = 40°

Therefore, the measure of center angle is 40°.

To learn more about the inscribed angle:

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what percent of x is 2y?

please explain

Answers

Answer:

Step-by-step explanation:

First, write:

     2y

 ----------

      x

and then multiply this result by 100%:

 200y

 ----------

      x

Find the equation of a line that is parallel to y=x+3 and passes through the point (-2,-4)

Answers

Answer:

hope this helps you

What explicit expression can be used to find the next term in this
sequence? 2, 8, 18, 32, 50, ...*

Answers

Answer:

Step-by-step explanation: 72

Round the number 5,370,288 to the nearest 100,000

Answers

Answer: 5,400,000

Step-by-step explanation:

Since the number in the ten-thousandths place is a seven, you will round up. Disregard any numbers before the ten thousandths place, and round up.

5,400,000 is the final answer.

Step-by-step explanation:

5,370,288

^

That is the thousands place.

Since 7 is higher then 5 then 3 would turn to 4

5,400,000 is the answer.

Which equation can be used to find 60 percent of 50?
60x2 120
50 x 2 100
=
50-150
60-1 60
60=2
100-2
30
50
100x2
50 x 2
200
100

Answers

The first one

I believe

Answer:

the answer is 30

Step-by-step explanation:

im not sure of these equations but the answer is definitely 30.

you can get the answer of 60% of 50 by using a calculator and entering

.60 x 50 = 30 hope this helps

write an equation and solve round to the nearest hundredth where necessary. 21 is 35% of what number

Answers

Answer:

21 is 35% of 60.

35% * x = 21

Multiply both side by 100 and divide both sides by 35.

x = 21 * 100/35

21 * 100 = 2100

2100/35 = 60.

oml there it let me actually answer this time :)

Step-by-step explanation:

(4n^5y^2)(-6n^2y^-5)

Answers

Answer:    ( -23•3n4y7)

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 ((4•(n5))•(y2))•((0-((2•3n2)•y))-5)

Step  2  :

Equation at the end of step  2  :

 (22n5 • y2) • (-6n2y - 5)

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  -6n2y - 5  =   -1 • (6n2y + 5)

(8^4)(6^3)(16^-2)÷32

Answers

Answer:

108

Step-by-step explanation:

8^4 = 4096

6^3 = 216

16^-2 = 0.00390625

4096x216x0.00390625 = 3456

3456/32 = 108

Answer:

(3/2)^3

Step-by-step explanation:

The trick here is to identify the common base (it is 2) and express all factors except for 3^2 as powers of 2 that can be added or subtracted.

Note that 8 = 2^3, 6 = 2 * 3, 16 = 2^4 and 32 = 2^5.  Using this info, we can immediately begin reducing the given expression:

                                         (2^3)(2^3)(3^3)        2^6*3^3             3^3

(8^4)(6^3)(16^-2)÷32  =>  ----------------------- = ----------------  =  --------------

                                          2^4*2^5                 2^9                   2^3                                      

                                           

                                                                                               = (3/2)^3

solve the diagram below to write an equation and solve for x.

Answers

Answer: The equation is (3x) + (2x + 20) + (x+10) = 180, and the x = 25.

Step-by-step explanation:

First, you know that all the measures of angles equal 180°.

So, we can make this equation:

(3x) + (2x + 20) + (x+ 10) = 180

Then, solve for x:

3x + 2x + 20 + x + 10 = 180

Combine the like terms that have the variable, x, in them:

6x + 20 + 10 = 180

Now combine the constant numbers:

6x + 30 = 180

Next, subtract 30 from that side:

6x = 180 - 30

6x = 150

Then, divide:

[tex]\frac{6x}{6}[/tex]= [tex]\frac{150}{6}[/tex]

x = 25

Therefore, the equation is (3x) + (2x + 20) + (x +10) = 180, and the x is 25.

Hope this helps! :)

Answer:

x = 25°

Step-by-step explanation:

Hello!

The sum of angles in a triangle is equal to 180°. If we add all the measures and set it to 180°, we can solve for x.

Solve for x3x + 2x + 20 + x + 10 = 1806x + 30 = 1806x = 150x = 25

The value of x is 25°.

Which choice is equivalent to the expression below?
28.24
O A. 28 + 22/10 + 24/100
O B. 28+ 2/10 + 4/10
O C. 28. 22/10. 24/100
O D. 28. 224/10

Answers

Answer:

28 + 2/10 + 4/100

Step-by-step explanation:

28.24

28 ones  plus 2 tenths  plus 4  hundredths

28 + 2/10 + 4/100

What is the equation of the line in the slope intercept form

Answers

Answer:

Equation of line; y = - 6x

Step-by-step explanation:

As we can see from this graph, point ( 0, 0 ) lying on this graph intersects the y - axis such that it forms a y - intercept of 0;

At the same time we can note that the change in y / change in x, in other words the slope, differs by a rise of 6 / run of - 1, 6 / - 1 being a slope of - 6;

If this equation is in slope - intercept form ⇒

y = a * x + b, where a ⇒ slope, and b ⇒ y - intercept,

Equation of line; y = - 6x

Answer:

y = -6x

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

the y intercept is 0 since it crosses the y axis at 0

To find the slope we need to points (0,0) and (10,-60)

m = (y2-y1)/(x2-x1)

    = (-60-0)/(10-0)

    = -60/10

  = -6

The equation for the line is

y = -6x +0

y = -6x

Simplify?
2x^2+6x-7x+8-3x^2+1

Answers

Answer:

[tex]-x^{2}[/tex]-x+9

Answer & Step-by-step explanation:

[tex]2x^2+6x-7x+8-3x^2+1[/tex]

Combine your like terms.

[tex](2x^2-3x^2)+(6x-7x)+(8+1)[/tex]

[tex]-x^2-x+9[/tex]

So, the simplified form of this equation is -x² - x + 9

58 pts!!!!
Write an equation of the line in slope intercept form.

Answers

Answer:

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

Step-by-step explanation:

First, let's do the easiest part, finding the y-intercept, which shows up at the end of your slope intercept equation, y=mx+b, where slope is rise over run!

- Simply look for where the coordinate is on the y-intercept, which is at y = 1!

Then, we need to find our rise over run, which is basically counting from point a to point b. To get to the lower coordinate from the top, we go down two (-2), and over 4. Which means we "rose" -2, and "ran" 4! It's -2 because we went DOWN, and positive 4 because we went FORWARD. This gave us 2 over 4, which is the same as 1 over 2!

:D

f(x) = 2x-1
What is f13)?

Answers

Answer:

35

Step-by-step explanation:

Substitute 13 for x

f(13) = 2 (13) -1

       = 36 -1

       = 35

please help fast Examine parallelogram ABCD.
Segments CE¯¯¯¯¯¯¯¯ and BE¯¯¯¯¯¯¯¯ have lengths 15−x and 2x, respectively what is the value of x

Answers

Answer:

x=5 , but there is nothing for us to examine.

will the store manager meet her goal if the sales team sells 45 tablets and 25 laptops?​

Answers

The store will meet its goal of selling 80 tablets and 10 laptops

Answer:

80 and 10 laptops, also what is the goal though...

Step-by-step explanation:

suppose a 3-digit number is to be formed using the digits 1,2,3,4,5. How many different numbers can be formed. (digits can be repeated)

Answers

Answer:

125

Step-by-step explanation:

For the first digit of our number, we have 5 options (1, 2, 3, 4, 5). For the second and third digits, we still have 5 options because the digits can be repeated. This means that the total different numbers we can make is 5 * 5 * 5 = 125 numbers. Hope this helps!

Math!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:c,d

Step-by-step explanation:

When driving a car with Anti-lock Brakes (ABS), if your brakes fail when you are trying to stop, you should
O Quickly apply the parking brake with as much force as you can.
O Push on your brake pedal and hold it down. Shift to a lower gear and slowly apply your parking brake.
Shift into park if you have an automatic transmission

Answers

Answer:

B

Step-by-step explanation:

Applying the parking brake quickly is dangerous ..

from permit test  I remember pump your brake pedal hard and fast. shift lower gear, and slowly apply parking brake.

When driving a car with Anti-lock Brakes (ABS), if your brakes fail when you are trying to stop. You should, Push on your brake pedal and hold it down. Shift to a lower gear and slowly apply your parking brake.

What is  Anti-lock Brakes?

An anti-lock braking system (ABS) is a safety anti-skid braking system used on aircraft and on land vehicles, such as cars, motorcycles, trucks, and buses. ABS operates by preventing the wheels from locking up during braking, thereby maintaining tractive contact with the road surface and allowing the driver to maintain more control over the vehicle.

When driving a car with Anti-lock Brakes (ABS), if your brakes fail when you are trying to stop. You should, Push on your brake pedal and hold it down. Shift to a lower gear and slowly apply your parking brake.

Example: From permit test, pump your brake pedal hard and fast. shift lower gear, and slowly apply parking brake.

Learn more about Force:

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The ratio of girls to boys in a student basketball league is 5:6. Choose True or False for
each statement.
a. For every 5 girls in the league, there are 6 boys.
True or False
b. For every 6 girls in the league, there are 5 boys.
True or False
C. There are exactly 11 students in the league.
True or False
d. The ratio of girls to total students in the league is 5:11. True or False

Answers

Answer:

true

false

true

true

Step-by-step explanation:

correct me if i am wrong

True
False
True
True. Hope this helps

Need help with this pls!!
(Show work pls)

Answers

Answer:

marks wage is 12$ and he earned 72$

Stevens wage is 15$ and earned 75$

Step-by-step explanation:

[tex]5(x+3)+6x=147\\5x+6x+15=147\\11x=132\\x=132/11\\x=12[/tex]

What's the answerrrrrrrrrr

Answers

Answer:

C. centimetres cubed

thanks!!!

Answer:

c

Step-by-step explanation:

volume is length x width x height. which means that it is cubed. and cubed is x^3

help looks like i forgot to read a ruler

Answers

Answer:

3 15/16

Step-by-step explanation:

The ruler has been turned to the inches

So what you are measure is in between 3 and 4 so 3

And between 3 and 4 there are 16 small lines and what you are measuring ends at 15

So the answer is 3 15/16

if 3 kg of flour needs 4 1/2 cups of sugar how much is 4 kg Of flour

Answers

Answer:

This is the formula of how to answer this question hopefully it helps :)

Sugar = Flour

A cup of sugar weighs about 7 ounces, and a cup of all-purpose flour weighs about 4-1/2 ounces. So, if we're building a recipe with 1 cup sugar, we'll need about 1-1/2 cups flour (about 6-3/4 ounces).

Step-by-step explanation:

Please help me with this make sure to do everything it’s asking because I have no clue how to do this please look at the image to know what you are doing I need question 2 and 3 done for this work sheet if you can please attach a picture of how you did this

Answers

Answer:

2b. 3(2-x)

2c. add the 5x-10

5(x-2)

3.its suppose to be 12x+3=3(4x+1)

3(4x+1)=12x+3

Step-by-step explanation:

n/4=-19 what does n equal to?

Answers

Answer:

n/4 = -19

=> n = (-19) x 4

=> n = -76

Hope this helps!

:)

Answer:

-76

Step-by-step explanation:

You have to moltiply lefy side and right side by 4, so you have:

4 × n/4 = 4 × (-19)

the left 4 goes out because 4/4 = 1

n = 4 × (-19)

n = -76

HELP


If the radius of a circle is 17 cm, then the diameter of the circle is 34 cm. If the diameter is 34 cm, then circumference of the circle is approximately 107 cm. Determine if both statements are TRUE or FALSE.


Answers

Answer:true

Step-by-step explanation:

I need brainlest

Ben is buying a book that costs $14.75 and a magazine that costs $5.25. If he has a store cupón for 15% off and sale tax is 8%, how much will he pay in total?

Answers

Answer:

$18.36

Step-by-step explanation:

14.75+5.25=20

20 x  0.15 = 3

20 - 3 = 17

17 x 0.08=1.36

17+ 1.36 =18.36

total is $18.36

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