A 60 cm high cylinder with 14 cm its diameter is cut vertically into two equal halves. what is the volume of a half part​

Answers

Answer 1

The volume of the half part of a cylinder of 60 cm high and 14 cm in diameter is 1470π cm³.

Volume of a cylinder

volume of a cylinder = πr²h

where

r = radiush = height

Therefore,

r = 14 / 2 = 7 cm

h = 60 cm

volume of the cylinder = π × 7² × 60

volume of the cylinder = π × 49 × 60

volume of the cylinder = 2940π cm³

The volume of the half part = 2940π / 2 = 1470π cm³

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Related Questions

Given that f(x) = 3x + 4, find 2f(5).

Answers

Answer:

f(2) = 10

Step-by-step explanation:

Calculate

[tex]Substitute\ x=2\ into\ f(x)=3x+4[/tex]

Substitute

[tex]f(2)=3\times 2+4[/tex]

Calculate the product or quotient

[tex]f(2)=6+4[/tex]

Calculate the sum or difference

[tex]f(2)=10[/tex]

I hope this helps you

:)

A box of 100 personalized pencils costs $\$30$. How many dollars does it cost to buy 2500 pencils?

Answers

Answer:

$750

Step-by-step explanation:

2500 divided by 100 = 25 and 25 x 30 = 750

Sorry if im wrong

The price for 2500 pencils is $750.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit,  followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

We have,

A box of 100 personalized pencils costs $30.

So, cost of 1 pencil = $30 / 100 = 3/10

Now, the price to buy the 2500 pencils

= 2500 x 3/10

= 250 x 3

= $750

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A survey asked 100 seventh graders if they have either a cell phone or a tablet. Of the 32 students that have a cell phone, 19 do not have a tablet. Of the 70 students that have a tablet, 57 do not have a cell phone. A total of 11 students stated they do not have a cell phone or a tablet. Some of this information is included in the frequency table.

help please!

Answers

Answer:

26

Step-by-step explanation:

Cellphone: 32 - 19 (students without tablet)

Tablet: 70 -57 (students without cellphone)

Both equations remain with only 13 students with both a cellphone and a tablet.

Then 13 + 13 = 26

CAN SOMEONE PLEASE HELP ITS DUE TODAY

Answers

Answer:

n = 6

Step-by-step explanation:

[tex] \frac{ {5}^{n} \times {5}^{3} }{ {5}^{7} } = {5}^{2} \\ \\ \implies \: \frac{ {5}^{n + 3} }{ {5}^{7} } = {5}^{2} \\ \\ \implies \: {5}^{n + 3 - 7} = {5}^{2} \\ \\ \implies \: {5}^{n - 4} = {5}^{2} \\ \\ \implies \:n - 4 = 2 \\ \\ \implies \:n = 4 + 2 \\ \\ \implies \:n = 6[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: \frac{5 {}^{n} \times {5}^{3} }{5 {}^{7} } = {5}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \frac{5 {}^{n + 3} {}^{} }{5 {}^{7} } = {5}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:5 {}^{n + 3 - 7} = {5}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:5 {}^{n - 4} = {5}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:{}{n - 4} = {2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:n = 2 + 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:n = 6[/tex]

Hence, value of n is 6

Can someone please help me with this?

Answers

Answer:

50

Step-by-step explanation:

If we divide the shape we can get 3 x 10 with equals 30. Then take the remaining which is 2 x 10 and we get 20. Add the two to get 50. The area is 50sq miles.

Hope this helps. pls mark brainliest

find the value of x when y=14. y= -6x+5

Answers

Answer:

  x = -3/2

Step-by-step explanation:

To find the unknown value, substitute all known values and solve for the one remaining. After substitution, this becomes a 2-step linear equation, so is solved by the procedure for such equations.

  y = -6x +5 . . . . . given

  14 = -6x +5 . . . . substitute known value

  9 = -6x . . . . . . . subtract 5 (step 1)

  9/-6 = x = -3/2 . . . . divide by the coefficient of x (step 2);

Hello!

In order to find the value of x, we should take the value of y and plug it in and then simplify.

[tex]\bold{y=-6x+5}[/tex]

Plug in:

[tex]\bold{14=-6x+5}[/tex]

Switch places:

[tex]\bold{-6x+5=14}[/tex]

Now, subtract 5 from both sides:

[tex]\bold{-6x=14-5}[/tex]

[tex]\bold{-6x=9}[/tex]

Divide both sides by -6 in order to isolate x:

[tex]\bold{x=-\displaystyle\frac{9}{6}}[/tex]

Can this fraction be reduced? Sure, we can divide the numerator (9) and the denominator (6) by 3:

[tex]\bold{-\displaystyle\frac{3}{2}}[/tex]

As a Mixed Fraction:

[tex]\bold{1\displaystyle\frac{1}{2}}[/tex]

Hence, the value of x is:

[tex]\huge\boxed{\boxed{\mathfrak{\star{Answer:{\boxed{-\frac{3}{2} }}}}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

#NeverGiveUp

[tex]\rm{A~teen~who~never~gives~up}[/tex]

The sum of one third of a number and 2 1/3 is 9 find number

Answers

Answer:

  20

Step-by-step explanation:

The given relation can be written as the 2-step linear equation ...

  (1/3)n +2 1/3 = 9

  n +7 = 27 . . . . . . . . . step 1: multipy by 3 (makes the coefficient = 1)

  n = 20 . . . . . . . . . . . step 2: subtract 7 (separates variable from constant)

The number is 20.

_____

Additional comment

Usually it is convenient to do the two steps in the opposite order: get the variable term by itself, then make its coefficient 1. Here, we chose the order we did because it eliminated fractions from the problem, which is often a step you'd like to do first.

A manager drew this box-and-whisker plot to represent the number of minutes each of the company's 360 employees took on their break.

How many employees took a break that lasted between 37 and 41 minutes?

Select from the drop-down menu to correctly complete the statement.

Answers

Given the box-and-whisker plot, the number of employees that took a break that lasted between 37 - 41 minutes is: 180.

What is a Box-and-whisker Plot?

A box-and-whisker plot is a graphical representation of a data set showing how the data set is distributed into percentiles such as 25%, 50%, and 75%.

The range of the rectangular box covers 50% of the data set.

Thus, 37 - 41 minutes lies between 50% on the box-and-whisker plot, therefore:

50/100 × 360 = 180 employees.

In summary, given the box-and-whisker plot, the number of employees that took a break that lasted between 37 - 41 minutes is: 180.

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Answer:

The answer is 90

Step-by-step explanation:

Its not 180 I take k12 also.

Simplify: 5x3+3x2−(−x−6x2)+4x−x2

Answers

Answer: 33 plus 3x

Step-by-step explanation:  simplified it

Answer:

The answer is 5x3+8x2+5x

Step-by-step explanation:

Which number is a rational?

Answers

Answer:

0/5 = 0

0/200 = 0

0/ (-25) = 0

Step-by-step explanation: I am sure this is it because these are rational numbers

54 x 8181 x 12 x 8271 x 1301 x 812

Answers

Answer:

4.6320447e+16

I used a calculator for this LOL.

In parallelogram GOST, angle G has a measure of 40°

What is the measure of angle T?

Answers

The answer would be 140 degrees.
The interior angles of a parallelogram adds up to 360°G + S = 180° and O + T = 180°

40° + S = 180°

- 40° + 40° + S = 180° - 40°

S = 140°

T = 140°


You have a coupon for 35% off any purchase over $15 at a pizza shop. If your order totals $18, how
much do you have to pay?

Answers

Answer:

11.7

Step-by-step explanation:

I think that is right because you have to - 35%

Holding a ruler upright at arm’s distance (24 in.), Ronnie aligned the bottom of the ruler with a mark on the utility pole that was about 5 feet above the ground. He saw that the top of the pole aligned with the 6-inch mark on the ruler. Then he took 40 long strides to reach the pole. If each stride was about one yard (3 feet), then the top of the pole is about how many feet high?

Answers

Answer:

10 feet

Step-by-step explanation:

Drawing obviously not to scale but... Red segment is the ruler, at least the part between 5 and 6 inches, 1 inch long. Brown segment is the pole, ground to the top. Leftmost point is the eye, green line is the horizontal. The triangles are similar (AAA, the vertical lines are parallel), the ratio of the side is the same as the ratio of the heights. The height of the larger triangle (measured across the green line is

[tex]40 yd \times 3\frac{ft}{yd} \times 12\frac{in}{ft}= 1440''[/tex].

Ratio of the height is then [tex]1440\div24 = 60[/tex].

At this point the height of the pole is 60 times the length of the measure on the ruler, or 60 inches, that is 5 feet. Add the 5 feet the pole was starting from, it's 10 feet.

The amount of money you have after investing $400 for 8 years and $600 for 6 years at the same interest rate is represented by 400x^6 + 600x^6. where x is the growth factor. classify the polynomial by the number of terms. what is the degree?

Answers

The polynomial 400x⁶ + 600x⁶ has a degree of 6 and is a binomial.

What is a polynomial?

Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.

Polynomials are classified based on degree as linear, cubic, quadratic, etc.

A polynomial with two terms is known as a binomial. Hence:

The polynomial 400x⁶ + 600x⁶ has a degree of 6 and is a binomial.

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Find the LCM for the group of expressions.
Y2+2y-24;y2-16;and 2y

Answers

Answer:

its here..........,,,

Convert 315 degrees to radian

Answers

Answer:

[tex]\frac{7\pi }{4}[/tex] radians

Step-by-step explanation:

to convert degrees to radians

radians = degrees × [tex]\frac{\pi }{180}[/tex] , then

radian measure = 315° × [tex]\frac{\pi }{180}[/tex] ( cancel 315 and 180 by 45 )

                          = 7 × [tex]\frac{\pi }{4}[/tex]

                         = [tex]\frac{7\pi }{4}[/tex]

315 degrees is equal to 5.49779 radians.

To convert degrees to radians, you need to multiply the degree measure by the conversion factor of π/180.

Let's convert 315 degrees to radians:

315 degrees × (π/180)

315×3.14 /180

= 5.49779 radians

Therefore, 315 degrees is equal to 5.49779 radians.

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Find the volume of a cone with a base diameter of 12 m and a height of 11 m.

Answers

Step-by-step explanation:

the volume of a cone is

ground area × height / 3

and the ground area is a circle.

so,

pi×r²×h/3

with r being the radius (half the diameter) and h being the height.

therefore, we get

pi×(12/2)²×11/3 = pi×6²×11/3 = pi×12×11 = 132pi =

= 414.6902303... m³

HELP ASAPPP
Inga, Kai, and Jason volunteer in the school library. They want to find the average number of pages of a library book. It would be unreasonable to calculate the number of pages in every book to find the average. They decide they need to find a valid sample.
Inga suggests choosing 100 books from the history section to get a sample.
Kai suggests randomly selecting 100 books from the library’s entire catalog.
Jason suggests using 100 books from the teen fiction section to get a sample.
Who suggested the best way to produce a random sample that is not biased?

Answers

Answer:

Kai suggested the best way to produce a random sample that is not biased

Step-by-step explanation:

Answer:

The answer is Kai suggested the best way to produce a random sample that is not biased

Step-by-step explanation:

The equation 2y+x=0 is shown on the graph below as a

Answers

Answer: Red line

Step-by-step explanation:

2y+x=0

2y=-x

y=-x/2

So we need a line with a slope of -1/2 that passes through the origin, which is the red line.

what is the range of the exponential function y=2^x plus 2?



A. Y<0
B. Y<-1
C. Y<-2
D. Y<-1 (Less than or equal to)

Answers

It’s A
Explanation: because it’s A

……………………868685758584984444

Answers

???444489485857586868........................

Answer: 86868575854984444  121213435457642222

Step-by-step explanation:

Help me !!!! Emergency .
50 points + Brainliest
No spammers please
Leaders please answer this question

No. 8. a​

Answers

Answer:

[tex] \frac{1}{ \sqrt{2} } [/tex]

Step-by-step explanation:

Given

[tex]theta = 22 \frac{1}{2} = \frac{45}{2} [/tex]

[tex]2 \times theta = \frac{45}{2} \times 2 = 45[/tex]

Sin2theta=sin45⁰=1/√2

[tex] \frac{1}{ \sqrt{2} } [/tex]

is your answer

Answer:

[tex]\sf \dfrac{\sqrt{2}}{2}[/tex]

Step-by-step explanation:

[tex]\sf If\:\theta=\left(22\dfrac12\right)^{\circ}[/tex]

[tex]\sf \implies2\theta=2\cdot\left(22\dfrac12\right)^{\circ}=45^{\circ}[/tex]

[tex]\sf Therefore\:\sin2\theta=\sin(45)^{\circ}=\dfrac{\sqrt{2}}{2}[/tex]

Proof

If a right triangle has an interior angle of 45°, then the third interior angle will also be 45° (since the sum of the interior angles of a triangle is 180°).

This means that the two legs of the right triangle are equal in length.

Using Pythagoras' Theorem, we can state that the hypotenuse of a right triangle with two legs of equal length will be √2 times the length of a leg.

Let a = b = 1

⇒ 1² + 1² = c²

⇒ c = √2

The sine trig ratio is:

[tex]\mathsf{\sin(\theta)=\dfrac{O}{H}}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse

[tex]\implies \sf \sin(45^{\circ})=\dfrac{1}{\sqrt{2} }[/tex]

[tex]\implies \sf \dfrac{1}{\sqrt{2}}\times \dfrac{\sqrt{2}}{\sqrt{2}}=\dfrac{\sqrt{2}}{2}[/tex]

[tex]\implies \sf \sin(45^{\circ})=\dfrac{\sqrt{2}}{2}[/tex]

math makes me mad mad‼️‼️

Answers

695 km/h

explanation

3475/5 = 695

hope it helps...!!!

If X and Y are 2 finite sets such that n() = 9, n( XY) - 4 and n( XY) -15, then n() is
(A) 5
(B) 6
(C) 10
(D) 12​

Answers

Answer:

I think it's a hope this helps

True or false if you took a true of them statement inserted a not in each clause and reversed the clauses the new statement would also be true

Answers

Answer:

true

Step-by-step explanation:

Find the area of a circle whose radius is 3 1/2(three whole number one over two)

Answers

Answer:

38.5 in²

Step-by-step explanation:

Area of circle= πr², where r is the radius

Substitute the value of the radius into the formula above:

Area of circle

= π(3.5)²

= 12.25π

= 38.5 in² (3 s.f.)

Which represents the polynomial written in standard form? 4m – 2m4 – 6m2 9 9 4m 2m4 – 6m2 2m4 – 6m2 – 4m 9 9 – 6m2 4m – 2m4 –2m4 – 6m2 4m 9.

Answers

The standerd form 4m – 2m^4 – 6m^2 +9.

We have given that the polynomial given below we have to find the standerd form  of the polynomial.

What is the standerd form of the polynomial

[tex]P(x)=a_nx^n+a_{n-1}x^{n-1}+......+a_1x+a_0[/tex]

n=4

Standard form of the polynomial

[tex]4m - 2m^4 - 6m^2 + 9[/tex]

Rearranginge term we get

[tex]=-2m^4 - 6m^2 + 4m + 9[/tex]

The third term of the given polynomial is 0.

Therefore,the standard form is,

[tex]-2m^4 - 6m^2 + 4m + 9[/tex]

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Hello people ~
what's the product of the square root of 3 and the square root of 12​

Answers

Answer:

6

Step-by-step explanation:

sqrt(3) x sqrt(12) = sqrt(3) x sqrt(4x3) = sqrt(3) x 2sqrt(3)

= 2 ( sqrt(3)² ) = 2 x 3 = 6

Let's see

[tex]\\ \rm\rightarrowtail \sqrt{3}\times \sqrt{12}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{3}\times \sqrt{2(2)(3)}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{3}\times 2\sqrt{3}[/tex]

[tex]\\ \rm\rightarrowtail 2(3)[/tex]

[tex]\\ \rm\rightarrowtail 6[/tex]

Help with the equation of a line ​

Answers

Answer:

y = -3x + 5

Step-by-step explanation:

y = mx + c

gradient = -3 = m

y-intercept = 5 = c

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