a wooden cylinder beam of length 5 meters has a radius of 210cm. the wood density is 693kg/m
i) calculate the volume of the beam in cubic meters
ii) calculate the mass of the beam in kilograms.

Answers

Answer 1

Answer:

Cylinder Volume   =   π • r² • height

Volume = PI * .210 m^2 * 5

Volume = 0.6927211801 cubic meters

Wood has a mass of 693 / cubic meter

mass = 0.6927211801 * 693 = 480.06 kilograms

Step-by-step explanation:


Related Questions


A building contractor estimates that her profit in dollars for a tall building will be given by the function:
P (h) = -4h2 + 160h,
where h represents the numer of floors in the buliding.
What height will give the maximum profit? What is the maximum profit?
Question to answer: What is the maximum profit?
profit is———
dollars

Answers

Answer:

The height is 20

The max profit is 1600

Step-by-step explanation:

P (h) = -4h^2 + 160h

The vertex is at

-b/2a = -160/2(-4) = 160/8 = 20

The height that will give the maximum profit is 20

We want to find the value at 20

P(40)  =-4(20)^2 +160(20)

          =-1600+3200

             1600

If tan a = 9/40
use trigonometric identities to find the values of sin a and cos a.​

Answers

Answer:

see explanation

Step-by-step explanation:

Given

tan a = [tex]\frac{9}{40}[/tex] = [tex]\frac{opposite}{adjacent}[/tex]

We require the hypotenuse h

Using Pythagoras' identity

h² = 9² + 40² = 81 + 1600 = 1681 ( take square root of both sides )

h = [tex]\sqrt{1681}[/tex] = 41 , thus

sin a = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{9}{41}[/tex]

cos a = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{40}{41}[/tex]

If b=13 and A=76 degrees, then find a.

Answers

Answer:

Option (D).

Step-by-step explanation:

In the figure attached,

Triangle ACB is a right triangle having,

Leg AC = b = 13

Leg BC = a

Angle A = 76°

and, Hypotenuse AB = c

By applying tan rule in the given triangle,

tanA = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(76)° = [tex]\frac{BC}{AB}[/tex]

             = [tex]\frac{a}{b}[/tex]

4.01 = [tex]\frac{a}{13}[/tex]

a = 13 × 4.01

a = 52.13

a ≈ 52.1

Therefore, Option (D). will be the answer.

Answer:

52.1

Step-by-step explanation:

please help i need this asap

Answers

Answer:

They are the same

Step-by-step explanation:

Both have a 2 1/2 height so we wont consider that in our answer. What we have left is the width and length.

Box A = 2 × 1/2 = 1

Box B = 1 × 1 = 1

Volume of
Box A= L x B x H
= 2.5 x 1.5 x 2
= 7.5
Box B = L x B x H
= 1 x 1 x 2.5
= 2.5
Hence Box A has more storage space since it’s volume is higher

20 POINTS AND BRAINLIEST !! PLEASE ANSWER THIS QUESTION !!

Answers

Answer:

[tex](8m - 2)^{2}[/tex]

Step-by-step explanation:

Answer:

(8m -2) ^2

Step-by-step explanation:

64 m^2 - 32m +4

Recognizing that this is a perfect square trinomial (a^2 - 2ab + b^2) = (a-b)^2

(8m)^2 -2*8m*2 +2^2 = (8m -2) ^2

Subtract 3x^2+7x-43x

2

+7x−43, x, squared, plus, 7, x, minus, 4 from 8x^2-6x+28x

2

−6x+28, x, squared, minus, 6, x, plus, 2.

Answers

Answer:

5x² - 13x + 71

Step-by-step explanation:

We are to subtract 3x²+7x-43 from 8x²-6x+28

That is:

8x² - 6x + 28 - (3x² + 7x - 43)

8x² - 6x + 28 - 3x² - 7x + 43

Collect like terms:

8x² - 3x² - 6x - 7x + 28 + 43

5x² - 13x + 71

Answer:

the answer 5x² - 13x + 6

Step-by-step explanation:

In which career would you most likely apply
concepts from geometry?

Answers

Answer: Construction and Engineering

contruction and engineering

2+(x+y)=(2+x)+y is an example of what algebraic property

Answers

Answer:

communicative property

Step-by-step explanation:

solve this quadratic equation by completing the square. x^2+4x=15
ANSWER QUICKLY PLS, FIRST GOOD ANSWER GETS BRAINLIEST
(if your answer is incorrect im gonna delete it)
thx

Answers

Answer:

x =  -2  ±sqrt( 19)

Step-by-step explanation:

x^2 + 4x = 15

Take the coefficient of x

4

Divide by 2

4/2 =2

Square it

2^2 = 4

Add it to each side

x^2 + 4x+4 = 15+4

(x+2)^2 = 19

Take the square root of each side

sqrt( (x+2)^2) =±sqrt( 19)

x+2 =  ±sqrt( 19)

Subtract 2 from each side

x+2-2 = -2  ±sqrt( 19)

x =  -2  ±sqrt( 19)

What is the distance between points A and B?
А
B
-8 -7 -6 -5 -4 -3 -2 -1
0
1
2
3
4
5
6
7
8
0-6 units
- 1 units
5 units
6 units

Answers

The answer should be 6

Answer this, pic below

Answers

Answer:

Option A

Step-by-step explanation:

Temperature on y axis, it changes as time changes

IM BEGGING SOMEONE TO HELP ME FILL IN THE BOXES :( ?

Answers

Answer:

1.  x =-2, y=6

2. x = 0, y = 0

3. x=2, y=10

Step-by-step explanation:

It will take a long time to explain. If you need explanation, tell me.

if x=3+2v2, find the value of x2 + 1/x2

Answers

Answer:

ES IGUAL A 1.03

Step-by-step explanation:

Wich of the following is the definition of the domain of relation

Answers

Answer:

The domain of a function is the complete set of possible values of the independent variable. In plain English, this definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values.

a = -3, and c = 7. What is the value of b?

Answers

Answer:

6.235

Step-by-step explanation:

c²=a²+b² (pythagorean theory)

7²=-3²+b²

49=9+b²

(49-9). 40=b² (find the square root of 40 to obtain the value of b)

Time Remaining C.14:06
time 0:14:06
77%
The stem and leaf diagram shows the ages of 15 office workers.
2 3 5
Key: 23 represents 23 years old
3 4 5 8 8 9
4 1 2 4 6-7 8
5 39
a) How many workers are over 40 years old?
8
workers
b) What is the median age of an office worker?
years old
c) The oldest worker retires and is replaced by a 24 year old.
What is the new median age?
years old

Answers

Answer:

Step-by-step explanation:

a=8

b=41

c=39

sorry if im too late

Select the correct answer. What are the solutions to this quadratic equation?
A)x=4+sqrt 10
B)x=-2+4 sqrt 10
C)x=4+2 sqrt 10
D)x=-4+4 sqrt 10

Answers

Answer:

Let's solve your equation

[tex]x^2+13=8x+37[/tex]

Step 1: Subtract 8x+37 from both sides.

[tex]x^2+13-(8x+37)=8x+37-(8x+37)[/tex]

[tex]x^2-8x-24=0[/tex]

For this equation: a= 1, b= -8, c= -24

Step 2: Use quadratic formula with a=1, b=-8, c=-24.

[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-(-8)+\sqrt{(-8)^2-4(1)(-24)} }{2(1)}[/tex]

[tex]x=\frac{8+\sqrt{160} }{2}[/tex]

[tex]x=4+2\sqrt{10}[/tex]   or  [tex]x=4-2\sqrt{10}[/tex]       This is the answer

So,the correct option is C

I hope this help :)

Triangle KLM represents a section of a park set aside for picnic tables. The picnic area will take up approximately 400 square yards in the park.

Triangle K L M is shown. The length of K M is 45 yards and the length of L M is 20 yards. Angle L K M is 25 degrees.

Trigonometric area formula: Area = One-half a b sine (C)

To the nearest yard, what amount of fencing is needed to surround the perimeter of the picnic area?

Answers

Answer:

107

Step-by-step explanation:

got it right... your welcome

Answer:

107

i took the review and examStep-by-step explanation:

Simplify (−4k4+14+3k2)+(−3k4−14k2−8). Write answer in standard form.

Answers

Answer:

−7k^4−11k^2+6

Step-by-step explanation:

−4k^4+14+3k^2−3k^4−14k^2−8

(−4k^4+−3k^4)+(3k^2+−14k^2)+(14+−8)

−7k^4−11k^2+6

...

I need help please! If you know the answer can you explain?

Answers

Answer:

C.

Step-by-step explanation:

Take the equation for finding the volume of a sphere and plug in your radius

4π[tex]\frac{r^3}{3}[/tex] = V

your equation would plug in 7 for the r. Then simplify the rest of the equation.

Answer:

c

Step-by-step explanation:

I'm not sure but i hope this helps

Which of the statements about the diagram is INCORRECT?
A) ∠ 1 ≅ ∠2
B) BE ≅ ED
C) BE ≅ CE
D) CE ≅ EA

Answers

Answer:

C) BE ≅ CE

Step-by-step explanation:

[tex]\triangle BEA \cong \triangle DEC\\BE \ncong CE\\[/tex]

Because BE and CE are not corresponding sides.

The corresponding sides and angles of a congruent triangle are congruent.

(c) [tex]\mathbf{\angle BE \cong CE}[/tex] is incorrect

From the question, triangles BEA and CED are congruent.

This means that, the following statements are true

[tex]\mathbf{BE \cong ED}[/tex].[tex]\mathbf{CE \cong EA}[/tex].[tex]\mathbf{\angle 1 \cong \angle 2}[/tex].

The above statements represent options (a), (b) and (d).

This means that:

[tex]\mathbf{\angle BE \cong CE}[/tex] is incorrect

This is so because, BE and CE are not corresponding sides.

Hence, (c) [tex]\mathbf{\angle BE \cong CE}[/tex] is incorrect

Read more about corresponding triangles at:

https://brainly.com/question/16459002

a ball with a mass of 6 kg moves at 3 m/s.what is its kinetic energy

Answers

Answer:

27

Step-by-step explanation:

Kinetic energy = [tex]\frac{1}{2} m*v^2[/tex]

m = 6

v = 3

3 * 9 = 27

KE = 0.5 m.v^2

= 0.5*6*3^2

=27J

Graph the linear equations. Find three points that solve the equation -3x + 2y= 2

Answers

Answer:

(0,1) , (2,4) , (4,7)

Explanation:

convert the equation into slope-intercept form (this would be y=3/2x+1)

now plug in random numbers for x and solve for y by multiplying them by 3/2 and adding 1.

Rewrite 2/5 book 1/2 hour as a unit rate

Answers

Answer:

4/5 book per hour

Step-by-step explanation:

In this question, we are to rewrite (2/5)/(1/2) as unit rate.

To write this as a unit rate, what we need to do

is to divide 2/5 by 1/2.

That means 2/5 divided by 1/2

Removing the division and replacing with multiplication will give 2/5 * 2/1 = 4/5 books/hour

Step-by-step explanation:

4/5 books/hour

9=4t t=?
Please answer as soon as possible

Answers

Answer:

9/4 or 2 1/4

Step-by-step explanation:

9=4t

Divide each side by 4

9/4=4t/4

9/4 = t

Or as a mixed number

2 1/4 = t

Answer: 9/4

Step-by-step explanation:

the ratio of hopeless romantics to hard-headed skeptics was 459 to 2. if there were 7,803 hopeless romantics, how many hard-headed skeptics were there?

Answers

Answer:

333

Step-by-step explanation:

Answer:

34 hard-headed skeptics

Step-by-step explanation:

Write and solve an equation of ratios:

  459       2

--------- = ----

 7803      x

Cross-multipying, we get:

459x = 15606, which yields  x = 15606/459 = 34

There were 34 hard-headed skeptics.

Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises.

Answers

Answer:

what are the excersises

Step-by-step explanation:

Answer:

f(−1) = ✔ 2 f(1) = ✔ 6f (2) = ✔ 11

Step-by-step explanation:

2x-8=4(x+1). Solve for X please!

Answers

Answer:

-6 = x

Step-by-step explanation:

2x-8=4(x+1)

Distribute

2x -8 = 4x+4

Subtract 2x

2x-8-2x = 4x-2x+4

-8 = 2x+4

Subtract 4

-8-4 = 2x+4-4

-12 = 2x

Divide by 2

-12/2 = 2x/2

-6 = x

Answer:

[tex]x = - 6[/tex]

Step-by-step explanation:

[tex]2x - 8 = 4(x + 1) \\ 2x - 8 = 4x + 4 \\ 2x - 4x = 8 + 4 \\ - 2x = 12 \\ \frac{ - 2x}{ - 2} = \frac{12}{ - 2} \\ x = - 6[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

What is the value of y?

Answers

Answer:

60

Step-by-step explanation:

60+60+y=180 (angle sum property )

120+y=180

y=180-120

y=60

According to the Ruler Postulate, what does
the set of points on any line correspond to?

Answers

Answer:

The answer is Real numbers

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