An oblique cylinder with a base of radius 2 units is shown. The top
of the cylinder can be obtained by translating the base by the directed line segment
AB which has length 16 units. The segment AB forms a 30° angle with the plane of
the base. What is the volume of the cylinder?

Answers

Answer 1

The volume of the cylinder is the amount of space on it

The volume of the oblique cylinder is 174.19 cubic units

How to determine the volume of the cylinder?

The given parameters are:

AB = 16 units

Radius (r) = 2 units

[tex]\theta = 30^o[/tex]

Start  by calculating the height (h) using:

[tex]h = 16 * \cos(30^o)[/tex]

This gives

[tex]h = 13.86[/tex]

The volume of the cylinder is then calculated as:

[tex]V = \pi r^2 h[/tex]

This gives

[tex]V = 3.142 * 2^2 * 13.86[/tex]

[tex]V = 174.19248[/tex]

Approximate

[tex]V = 174.19[/tex]

Hence, the volume of the oblique cylinder is 174.19 cubic units

Read more about volumes at:

https://brainly.com/question/1972490


Related Questions

Question 2
5 pts
You deposit $5000 in an account earning 7% interest compounded
monthly. How much will you have in the account in 10 years?
5 nts

Answers

[tex]s = 5000(1.07) {}^{t} [/tex]

[tex]s = 5000(1.07) {}^{10} [/tex]

[tex]s = 5000(1.96715)[/tex]

[tex]s = 9835.756 \: dollars[/tex]

help me please and thank you

Answers

Answer:

m∠N = 85°

Step-by-step explanation:

Properties of a parallelogram

opposite sides are parallel and equal in lengthopposite angles are equalinterior angles that lie on the same side of the transversal are supplementary - their sum is 180°

Therefore,

m∠M + m∠N = 180°

⇒ 95° + m∠N = 180°

⇒ m∠N = 180° - 95°

⇒ m∠N = 85°

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

Additional calculations

m∠M = m∠P = 95°

m∠N = m∠L = 85°

MN = LP

ML = NP

P: Using your prior knowledge how would you find the area of a rectangle ? ​

Answers

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

Answer: w * l

To find the area of a rectangle the formula used is width x length

Step-by-step explanation:

Evaluate 3x2−9
when x=−2

Answers

Answer:

3

Step-by-step explanation:

substitute x = - 2 into the expression

3x² - 9

= 3(- 2)² - 9

= 3(4) - 9

= 12 - 9

= 3

Tuesday
Sharon gets paid every other week.
She worked 19.5 hours one week and
20 hours the other week. How much
did she get paid, if she makes $9.25
per hour?

Answers

Answer:

$365.37

Step-by-step explanation:

add the hours up which is 20+19.5=39.5

then multiply by the wage 9.25 which is 39.5*9.25 which equals 365.375 and you cant round a penny up because its not possible in real life so your answer is just 365.37

Which graph represents an exponential function?

Answers

Answer:

the linear graph man

please why ask ezzy questions

If you deposit $3,000 in a savings account that earns simple interest at a rate of 2.5% a year, how much interest would you have after 4 years?

Answers

Answer:  300 dollars

Work Shown:

i = P*r*t

i = 3000*0.025*4

i = 300

Solve the system of equations:

4x-5y=21
3x+10y= -53

Answers

Step-by-step explanation:

2× (4x-5y) = 21

3x+10y= -53

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

8x-10y = 42

3x+10y=-53

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

11x= -11

{x=-1}

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

3x+10y=-53

x=-1

3(-1)+10y=-53

-3+10y=-53

10y= -50

{y=5}

I need to solve 5 :(

Answers

Answer:

the distance between df is just 2dj so i belive its 12.

Step-by-step explanation:

What is 2/5 divided by 5

Answers

Answer:

0.08 I hope this is right

Step-by-step explanation:

2/5 = 0.4÷5 = 0.08

Answer:

Step-by-step explanation:

Use KCF method

K - Keep the first fraction

C- change the operation ÷ to multiplication

F - Flip the second fraction

[tex]\textbf{$\dfrac{2}{5} \div 5$}=\dfrac{2}{5}*\dfrac{1}{5}\\\\\\=\dfrac{2}{25}[/tex]

A missionary used his plane to take an injured girl 855 kilometers to the hospital. If he flew at an average speed of 171 kilometers per hour, how long did it take to reach the hospital?​

Answers

Step-by-step explanation:

171 km/h

travel distance = 855 km

855 / 171 = 5 hours

it took him 5 hours to fly the 855 km (theoretically to the hospital).

normally, with a plane, you can't land on or at a hospital. you would need a helicopter to be able to do that.

so, he could only fly to a nearby airport, and then travel from there to the hospital. but we have no information about that.

The nisure below is made of 2 rectangular prisms. What is the volume of this figure? 5 m 4 m 2 m 9 m 5 m​

Answers

Answer: Find the volume of a rectangular prism whose length, width, and height are 8cm, 6cm, and 4cm, respectively. Therefore, the volume of a rectangular prism is 192 cm 3.

The radius of a circle is 14 centimeters. What is the circle's circumference?

Answers

Hello!

To solve this exercise, we must use the formula below:

[tex]\mathrm{C=2\cdot\pi\cdot r}[/tex]

C = ?π = 3.14r = 14cm

Knowing these values, let's replace them in the formula to obtain r:

[tex]\mathrm{C=2\cdot 3.14 \cdot 14}\\\mathrm{C=6.28 \cdot 14}\\\\\boxed{\mathrm{C=87.92}}[/tex]

So, the circle's circumference is 87.92cm.

Hope this helps!

Answer:

[tex]\boxed{\sf{87.92cm}}[/tex]

Step-by-step explanation:

To solve this problem, you need to multiply the radius of a circle by the circumference formula.

Circumference formula:

[tex]\sf{C=2\pi r}[/tex]

[tex]\sf{C=2*\pi r}[/tex]

C=?

π= 3.14

r= 14

[tex]\sf{2*3.14*14}[/tex]

Solve.

[tex]\sf{2*3.14=6.28}[/tex]

[tex]\sf{6.28*14=\boxed{\sf{87.92}}[/tex]

Therefore, the correct answer is 87.92cm.

I hope this helps you! Let me know if my answer is wrong or not.

Need help with his geometry question. Find the value of x

Answers

Hey there!

Answer: [tex] \Rightarrow \boxed{\sf{x = 25}}[/tex]

[tex] \rightarrow \sf{ \frac{x}{20} = \frac{30}{24} }[/tex]

[tex] \rightarrow \: \boxed{ \sf{24x = 600}}[/tex]

[tex] \rightarrow \: \boxed{ \sf{ \frac{24x}{24} = \frac{600}{24}}} [/tex]

[tex] \rightarrow \boxed{ \bold{\sf{ x = 25}}}[/tex]

Hopes this helps

A line with a slope of -10 passes through the
points (a, 6) and (-6, -4). What is the value
of a?
a =

Answers

i think the answer would be -8,6

what is the equation of the following graph?

Answers

Answer:

Step-by-step explanation:

When figuring out the graph of a sinusoidal, I keep in mind the acronym FPARHM:

F - function (sine or cosine)

P - period

A - amplitude

R - reflections

H - horizontal/phase shift

M - midline

Looking at the graph, we can figure out that the function is sine (since it intersects the origin at its midpoint, the period is [tex]\pi[/tex] (because it repeats every [tex]/pi[/tex] units in the x-direction, the amplitude is 2 (because the graph's extreme points are 2 units away from the midline in the y-direction, there are no reflections, no horizontal/phase shift, and the midline is [tex]y=0[/tex] (since the graph isn't shifted up or down in the y-direction.

Finally, knowing all these parts, we can piece together the equation of the sinusoidal graph. In general, the equations of sinusoidal graphs are in the form [tex]y=a\sin(bx+c)+d[/tex] where [tex]|a|[/tex] is the amplitude, [tex] \frac{2\pi}{|b|}[/tex] is the period, [tex] \frac{c}{b}[/tex] is the horizontal shift, and [tex]d[/tex] is the midline. Additionally, if [tex]a[/tex] is negative, the graph needs to be reflected over the x-axis and if [tex]b[/tex] is negative, the graph needs to be reflected over the y-axis. Knowing this, all we need to do is plug in the amplitude, period, phase shift, and midline to the equation. The equation is [tex]y=2\sin(2x)[/tex]

Hope this helps :)

What is the area of this figure?

Answers

Answer:

cover an area of 404 area

Step-by-step explanation:

23*8+11*20=404(area)

100 Points and Brainliest.
Write an equation that represents the line.
Use exact numbers.

Inserting gibberish or an absurd answer that isn't applicable will be reported and removed.

Answers

Answer:

See below ↓

Step-by-step explanation:

We have a graph given to us.

⇒ Take the points to form an equation!

The points

(4, 6)(-2, 1)

Making an equation

Find the slopem = 1 - 6 / -2 - 4m = -5 / -6m = 5/6

Take one of the two points and substitute in the equation :⇒ y - y₁ = m (x - x₁)⇒ y - 6 = 5/6 (x - 4)⇒ y - 6 = 5x/6 - 10/3⇒ y = 5x/6 + 8/3⇒ or 6y = 5x + 16

Take two points

(-2,1)(4,6)

Slope:-

[tex]\\ \rm\rightarrowtail m=\dfrac{6-1}{4+2}=\dfrac{5}{6}[/tex]

Equation in point slope form

[tex]\\ \rm\rightarrowtail y-1=5/6(x+2)[/tex]

[tex]\\ \rm\rightarrowtail 6y-6=5x+10[/tex]

[tex]\\ \rm\rightarrowtail 6y=5x+16[/tex]

[tex]\\ \rm\rightarrowtail y=5/6x+8/3[/tex]

NO LINKS!!

You want to make a banner that says HAPPY BIRTHDAY. You want the letters to be 3 inches high. You make a sketch of the banner with letters that are 2 inches high. The length of the phrase in your sketch is 20 inches long. What length of paper should you buy to make the banner? ​

Answers

Answer:

  30 inches

Step-by-step explanation:

Assuming the banner you want is similar to the sketch you made, the length of the banner is 10 times the letter height.

For 3-inch letters, the banner length will be 30 inches.

Answer:

30 ft

Step-by-step explanation:

**According to the image of the banner, the banner should be 3 foot high (not 3 inches)**

Create a ratio of letter height to length of phrase for the sketch and the banner.  Let x be the length of the banner.

NB There is no need to convert the measurements between inches and feet, since the letter height and length of phrase is measured in the same way for each banner.

Ratio:                      letter height : length of phrase

Sketch (in inches):                   2 : 20

Banner (in feet):                       3 : x

Equate the ratios and solve for x:

[tex]\sf \implies 2 : 20 = 3 : x[/tex]

[tex]\sf \implies \dfrac{2}{20}=\dfrac{3}{x}[/tex]

[tex]\sf \implies 2x=3 \cdot 20[/tex]

[tex]\sf \implies 2x=60[/tex]

[tex]\sf \implies x=\dfrac{60}{2}[/tex]

[tex]\sf \implies x=30[/tex]

Therefore the length of paper your should buy to make the banner is 30ft.

The cheeseburger in Alan's kid's meal has 300 calories. His fries have 101 and his drink has 150. How many tota calories
are in his meal?

Answers

his meal has a total of 551 calories.

300+150 = 450

450 + 101 = 551

Answer:

551 calories

Step-by-step explanation:

Given the number of calories in each part of his food you can add:
300 + 101 +150
to equal the total amount of calories in his food, which would be:
551 calories
In conclusion, there would be a total of 551 calories if Alan's kid's meal.


Have a great rest of your day
#TheWizzer

Find all the factors of 18.
A) 2, 9
B) 1, 2, 3, 6, 9, 18
C) 1, 2, 3, 4, 6, 8, 9, 18

Answers

Answer:

B)1, 2, 3, 6, 9, 18

Step-by-step explanation:

1×18

2×9

3×6

HOPE IT HELPS YOU

7 5/8 + 1 1/2 = ?


how do you do it?? need help!

Answers

9 1/8 you need common denominators for the fractions so multiply 1/2 by 4

Simplify expression:
2(4x + 3) - 3(x + 1)

Answers

Answer:

5x+3

Step-by-step explanation:

[tex]\left[Thank\;you\;for\;Joining\;Brainly!][/tex]

Answer:

5x + 3

Step-by-step explanation:

[tex]2\left(4x+3\right)-3\left(x+1\right)[/tex]

[tex]\mathrm{Expand\;2(4x+3)}:8x+6[/tex]

[tex]=8x+6-3\left(x+1\right)[/tex]

[tex]\mathrm{Expand\;-3(x+1)}:-3x-3[/tex]

[tex]=8x+6-3x-3[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=8x-3x+6-3[/tex]

[tex]\mathrm{Subtract\:the\:numbers:}\:6-3=3[/tex]

[tex]=8x-3x+3[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:8x-3x=5x[/tex]

[tex]=5x+3[/tex]

Hence, your answer is 5x + 3

[RevyBreeze]

To carpet a rectangular room, Erika must find the area of the floor. If the dimensions of the room are 9 yd by 15 yd, how much carpeting does she need?
Erika will need ______of carpeting?

Answers

Answer:

135 square yards

Step-by-step explanation:

9 yd   *   15 yd   =  (9 * 15) yd^2 = 135 yd^2

A model of Earth is located 7600 meters from the Globe Arena in Sweden’s solar system model. The volume of the model is approximately 3052.08 cubic centimeters. What is the length of the radius of the Earth model?

Answers

Answer:

The length of the radius of the mudel is 9 cm

Step-by-step explanation:

[tex]By\ the\ topic[/tex]

[tex]The\ volume\ of\ the\ mudel\primes\ is\ 3052.08{\rm cm}^3[/tex]

[tex]Formula\ for\ the\ volume\ of\ the\ sphere\ is[/tex]

[tex]\frac{4}{3}\pi\ r^3[/tex]

[tex]\frac{4}{3}\pi\ r^3=3052.08[/tex]

[tex]\pi\ r^3=\frac{3}{4}\times3052.08=2289.06[/tex]

[tex]\gamma3=2289.06\div\pi[/tex]

[tex]\gamma=\sqrt{\frac{2289.06}{\pi}}\approx\sqrt{\frac{2289.06}{3.14}}+\sqrt{729}[/tex]

[tex]r=9cm[/tex]

[tex]7hus,\ the\ length\ of\ the\ vadius\ of\ eanth[/tex]

[tex]mudel\ is\ 9\ cm[/tex]

[tex]Application\ of\ the\ volume\ of\ the\ spheve?[/tex]

I hope this helps you

:)

Celene invierte $5,000 en un banco al 5.15% de interés anual capitalizable cada trimestre. Utiliza el interés compuesto para determinar cuál es el rendimiento porcentual anual

Answers

El monto total acumulado, capital más interés, con interés compuesto sobre un capital de $5,000.00 a una tasa de 5.15% anual compuesto 4 veces por año durante 1 año es $5,262.52.

Interés compuesto

Datos dados

Principal = $ 5000Tasa = 5,15%Tiempo = 1 año

A = P + I donde

P (principal) = $5,000.00

I (interés) = $262.52

Pasos de cálculo:

Primero, convierta R como un porcentaje a r como un decimal

r = R/100

r = 5,15/100

r = 0.0515 tasa por año,

Luego resuelve la ecuación para A

A = P(1 + r/n)^nt

A = 5000,00(1 + 0,0515/4)^(4)(1)

A = 5,000.00(1 + 0.012875)^(4)

A = $5,262.52

Obtenga más información sobre el interés compuesto aquí:

https://brainly.com/question/24924853

Cual es el resultado de la división 636
entre 3

Answers

Answer:

its gonna be 212 fam

Step-by-step explanation:

An angle measure 29•, what is the measure of it compliments

Answers

Answer:

The complement of 29° is the angle that when added to 29° forms a right angle (90° ).

Step-by-step explanation:

Hope this helps you!


Divide and simplify.

- 8/15 divided by - 3/5

A) - 3/25

B) - 4/5

C) 13/15

D) 8/9


Answers

Answer:

8/9

Step-by-step explanation:

Given P(E or F) = 0.69, P(E) = 0.49, and P(E and F) = 0.06, what is P(F)?

Answers

Answer:

P(F) = 0.26

Step-by-step explanation:

Given:

P(E ∪ F) = 0.69P(E) = 0.49P(E ∩ F) = 0.06

Using formula:   P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

⇒ P(E ∪ F) = P(E) + P(F) - P(E ∩ F)

⇒ 0.69 = 0.49 + P(F) - 0.06

⇒ 0.69 = 0.43 + P(F)

⇒ P(F) = 0.69 - 0.43

⇒ P(F) = 0.26

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