The surface area of a cylinder is 432 pi yd2. The height of the cylinder is five times the radius. What is the diameter of the cylinder?

Answers

Answer 1

Since the surface area of this cylinder is [tex]432\pi \;yd^2[/tex], its diameter is equal to 12 yards.

How to calculate surface area.

Mathematically, the surface area (SA) of a cylinder is given by this formula:

[tex]S.A = 2\pi rh + 2\pi r^2[/tex]

Where:

h is the height.r is the radius.

Given the following data:

Surface area of cylinder = [tex]432\pi \;yd^2[/tex]Height = 5r.

Substituting the given parameters into the formula, we have;

[tex]432\pi = 2\pi r(5r) + 2\pi r^2\\\\432\pi = 2\pi 5r^2 + 2\pi r^2\\\\216=5r^2+r^2\\\\216=6r^2\\\\r^2=36\\\\r=\sqrt{36}[/tex]

r = 6 yards.

For the diameter:

Diamter = 2 x radius

Diamter = 2 x 6

Diameter = 12 yards.

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Related Questions

You supply a good at a price of $5. You also earn a profit at this price. This means that your marginal cost could be _____. $2.00 $5.00 $10.00

Answers

[tex]$5.00[/tex][tex]Hello[/tex] [tex]There![/tex]

Your answer is..:

$[tex]5.00[/tex]

Hopefully, that helps you!!

[tex]OwoSokka[/tex]

-
What is the vertex of f(x) = 5x^2 + 20x – 16?

Answers

Vertex is found by -b/2a. A is 5. B is 20. C is -16.
Take -20/(2 times 5)
Which is -20/10
That is -2
-2 is the answer for x coordinate.
Plug -2 into function to get 20+(-40)+(-16)
Which is -36.
So we get (-2, -36)
Mark as the best!

Answer:

(-2, -36)

Step-by-step explanation:

This is written in Standard Form

[tex]f(x)=5x^{2} +20x-16[/tex]

[tex]ax^{2} +bx+c[/tex]

Convert to vertex form.

[tex]f(x)=a(x-h)^{2}+k[/tex]

[tex]f(x)=5(x+2)^{2}-36[/tex]

Question 8 of 10
Which of the following can you determine, when you use deduction and start
from a given set of rules and conditions?
O A. What may be false
O B. None of these
O C. What may be true
O D. What must be true

Answers

Answer:

The answer is D.) What must be true

Step-by-step explanation:

Deduction is a phrase that refers to drawing conclusions based on a well-established premise. This is when you use logic to assess points based on a set of rules and conditions. You describe how the scenario might follow the rules. As a result, there is no incorrect deduction. If you evaluate it and find it to be true, it must be correct. I hope this helps! ^-^

what is 7/5 as a simple thing?

Answers

In decimal form: 1.4
In mixed number form: 1 2/5

What 2x4
Beacuse I need help on how to soulf it

Answers

Answer:

Its 8

Step-by-step explanation:

on the same coordinate plane mark all points (x y) that satisfy the rule y=3x-2 SHOW GRAPH

Answers

The equation y = 3x - 2 is a linear equation

Points (0,2), (1,1) and (2,4) are on the line y = 3x - 2

How to determine the points?

The rule is given as:

y = 3x - 2

Set x = 0

y = 3(0)- 2 = -2

Set x =1

y = 3(1)- 2 = 1

Set x = 2

y = 3(2)- 2 = 4

The above means that (0,2), (1,1) and (2,4) are on the line y = 3x - 2

See attachment for the graph of the line y = 3x - 2

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Suppose a 8-year loan for principal amount
$8500
was taken out. Over the life of the loan
$3400
was paid. If interest did not compound, what was the interest rate per year?

Answers

Step-by-step explanation:

8500× 8

8500

× 8

52000

so,

I will complete your answer

you can any doubt please ask to me

the interest rate per year is = 52000 answer

Hello everyone i need help with the following question?

If x=3 and y=67

what is 6x × 8y + 27x - 6y + 3= ​

Answers

Answer:

9330

Step-by-step explanation:

6x × 8y + 27x - 6y + 3 = 18 × 536 + 81 - 402 + 3 =

9330

Answer:

The answer is 9330

Hope it helps

✧GHOSTOFSPARTA✧

Find the missing sides (pls)

Answers

Across any line is 180 degrees. To opposite angles have the same value.
153 is 180-27. So c and b equal 153.
This make since angle looks more than 90 (corner of paper)
Mark as best!

Step-by-step explanation:

27° + c = 180° ( supplementary angle )

c = 180° - 27

c = 153°

Now,

b = c ( vertically opposite angle )

b = 153°

Which of the following is a statistical question?
A.
How much time do seniors at a school spend playing sports?
B.
How many hours did Mary sleep last night?
C.
How long was Joey’s baseball game yesterday?
D.
What is the shortest distance between Georgia and North Carolina?

Answers

How much time do seniors at a school spend playing sports? (option A)  is a statistical question.

What is a statistical question?

A statistical question is a question that can be answered by collecting and analyzing data using statistical methods. It is a question that requires more than just a single numerical answer, and instead, involves variability or variation in the data.

In a statistical question, the data can come from a sample or a population, and the goal is to use the data to draw conclusions about the larger group. Statistical questions often begin with words such as "how many," "how much," "what is the average," "what is the distribution," and "what is the relationship between."

A statistical question is a question that can be answered by collecting data and analyzing it using statistical methods. Based on this definition, option A is the statistical question as it involves collecting data (i.e., the amount of time seniors spend playing sports) that can be analyzed using statistical methods.

Learn about statistic here https://brainly.com/question/15525560

#SPJ1

Please Help !!! The figure below is made of 2 rectangular prisms.

Answers

Answer:

124

Step-by-step explanation:

4*5*3

+

2*4*8

=124

Formula for volume of a rectangular prism is base x height.

Find the surface area of this figure.

Answers

Answer:

66550000000 in.²

Step-by-step explanation:

22³in x 10⁴in x 5⁴in = 66550000000 in

Picture blow………………….

Answers

ANSWER:

e. 4 and 2

f. 1 and 3

g. 5 and 6

h. 7 and 8

Ok done. Thank to me >:3

Multiply
−3/10xy (60xy^6)

[tex]-\frac{3}{10}xy (60xy^{6} )[/tex]

Answers

Answer:

[tex] - 18 {x}^{2} {y}^{7} [/tex]

Step-by-step explanation:

[tex] - \frac{3}{10} xy(60x {y}^{6} ) = - \frac{3}{10} (60) \times x \times x \times y \times {y}^{6} \\ = - 18 {x}^{2} {y}^{7} [/tex]

find the equation of a straight line which is parallel to the line with equation 5x+7y=14 and passes through a point (-2,-3)​

Answers

Answer:

[tex]7y=-5x-11[/tex]

Step-by-step explanation:

Since it says the lines are parallel both of their gradients will be same.

so gradient of line 1 = [tex]y=\frac{14-5x}{7}[/tex] = [tex]y=\frac{14}{7}-\frac{5x}{7}[/tex]= [tex]-\frac{5}{7}[/tex]

so equation of line 2 = [tex]y-y_{1}=m(x-x_{1} )[/tex]

                                   = [tex]y-(-3)_{}=\frac{-5}{7} (x-(-2)_{} )[/tex]

                                   = [tex]y +3=-\frac{5}{7}x+\frac{10}{7}[/tex]

                                   = [tex]y =-\frac{5x+10}{7}-3[/tex]

                                   = [tex]7y=-5x-11[/tex]

Step-by-step explanation:

basically a line equation typically looks like

y = ax + b

with a being the slope, and b bent the y-intercept (y value when x = 0).

5x + 7y = 14

7y = -5x + 14

y = -5/7 x + 14/7 = -5/7 x + 2

so, wie know the slope of the original line : -5/7 .

any line parallel to it must have the same slope.

our desired line looks like

y = -5/7 x + b

to get b we use the provided point (-2, -3).

-3 = -5/7 × -2 + b = 10/7 + b

-21/7 = 10/7 + b

-31/7 = b

and the full equation is

y = -5/7 x - 31/7

7y = -5x - 31

5x + 7y = -31

find the value of x to the nearest tenth

Answers

Answer:

27

Step-by-step explanation:

So in the triangle, we've got the angle as 64°. And, there's only an opposite value and the hypotenuse value therefore the trig function is sin.

  According to SOHCAHTOA,

sin=opp/ hyp

sin 64°=x / 30

Cross- multiply, then

x= 30 × sin 64°

x= 26.963

x= 27.0(nearest tenth)

How do you evaluate a geometric series?

Answers

To find the sum of a finite geometric series, use the formula, Sn=a1(1−rn)1−r,r≠1 , where n is the number of terms, a1 is the first term and r is the common ratio .

hope it helps...!!!

In the figure below, ZAPE and ZEPD are congruent.
What is the arc measure of major arc BAD on circle P in degrees?

Answers

Answer: 244 degrees

Step-by-step explanation:

Yo I need to bring up my math grade bad so
y<-2x+3
(please show it graphed already :D)

Answers

Here is how it is graphed:

Which expression is equivalent to 5(4x+3)-2x?a 18x+15b 18x+3c 7x+8d 2x+8

Answers

Answer:

Which expression is equivalent to 5(4x+3)-2x?a 18x+15b 18x+3c 7x+8d 2x+8

A-18x+15

how this is hard and im hating this right now :/

Answers

Answer:

[tex]\boxed{\dfrac{y}{x}}[/tex]

Step-by-step explanation:

[tex]\dfrac{\dfrac{1}{x} }{\dfrac{1}{y} } \ \text{can also be written as} \ \dfrac{1}{x} \div \dfrac{1}{y}[/tex]

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

[tex]\rightarrow \dfrac{1}{x} \div \dfrac{1}{y}[/tex]

Simplifying the expression using "a ÷ b = a x 1/b"

[tex]\rightarrow \dfrac{1}{x} \times y[/tex]

[tex]\rightarrow \boxed{\dfrac{y}{x}}[/tex]

4
Required
Mr. Sanchez's class sold fruit pies for $1.73 each and Mr. Kelly's class sold bottles of fruit juice for $1.44 each.
Together, the classes sold 83 items and earned $130.83 for their school. Write and solve a system of equations
that models this prolem. Show all your work!

Answers

The system of equations of the number of bottles in both classes has two distinct equations

Mr. Sanchez's class sold 39 bottles, while Mr. Kelly's class sold 44 bottles

How to solve the system of equations?

The given parameters are:

Mr. Sanchez = $1.73

Mr. Kelly = $1.44

Represent the number of bottles in both classes with x and y,

So, we have the following equations

1.73x + 1.44y = 130.83

x + y = 83

Next, we plot the graphs of the equations

From the graph (see attachment), we have:

(x,y) = (39,44)

Hence, Mr. Sanchez's class sold 39 bottles, while Mr. Kelly's class sold 44 bottles

Read more about system of equations at:

https://brainly.com/question/14323743

F(X)=2(X-1)^2-4 in standard form

Answers

Answer:

[tex]f(x)=2x^2-4x-2[/tex]

Step-by-step explanation:

Standard form of a quadratic equation: [tex]y=ax^2+bx+c[/tex]

[tex]\begin{aligned}f(x) & =2(x-1)^2-4\\& =2(x^2-2x+1)-4\\& = 2x^2-4x+2-4\\& = 2x^2-4x-2 \end{aligned}[/tex]

who can help me with my math

Answers

Step-by-step explanation:

I am always available to help, post your worry

Classify each polynomial by degree and number of terms. 1. Quartic monomial v 5x? - 7x + 9 2. Cubic binomial 2x3 + 3 < 3. Quadratic trinomial < 8x4 4. Quintic quadnomial​

Answers

The degree of a polynomial is categorized by its highest power of its leading variable.

Degree and number of terms of a polynomial

Given the following polynomial functions, we are to classify them based on their degrees and the number of terms

For the polynomial function 5x^4 - 7x + 9

The degree is 4 being quartic and there are three terms in the expression

For the polynomial  2x3 + 3 < 3, the degree is 3 (cubic) with three terms in the expression.

For a Quintic quadnomial​, the degree of the polynomial is 5.

Learn more on polynomials here: https://brainly.com/question/4142886

Bill uses rope to outline a location to build a rectangular deck that should be 8 feet wide and 15 feet long. His friend Tyrone lays a 15-foot-long board on the diagonal of the deck area Bill outlined, and it just fits from corner to opposite corner. What should Tyrone tell Bill?

Answers

The length of the diagonal outlined by rectangular deck of 8 ft by 15 ft is 17 ft.

What is a rectangle?

A rectangle is the quadrilateral (has four sides and four angles) in which each angle measures 90 degrees. Opposite sides are parallel and equal.

The length of the diagonal (x) can be determined using Pythagoras, hence:

x² = 15² + 8²

x = 17 feet

The length of the diagonal outlined by rectangular deck of 8 ft by 15 ft is 17 ft.

Find out more on rectangle at: https://brainly.com/question/25292087

On average 113,204 aluminum cans are recycled in a minute. approximately how many cans will be recycled in 16 days? (express your answer in scientific notation.) a. 2.61 times 10 superscript 9 aluminum cans b. 4.35 times 10 superscript 7 aluminum cans c. 1.09 times 10 superscript 8 aluminum cans d. 1.63 times 10 superscript 8 aluminum cans

Answers

The number of aluminum cans that will be recycled in 16 days in scientific notation is 2.61 × 10⁹.

What is multiplication?

It is also known as the product. If the object n is given to m times then we just simply multiply them.

On average 113,204 aluminum cans are recycled in a minute approximately.

Then the number of cans can be recycled in 16 days.

[tex]\rm Number \ of \ cans = 113,204 \times 24 \times 60 \times 16 \\\\Number \ of \ cans = 2.608 \times 10^9 \approx 2.61 \times 10^9[/tex]

More about the multiplication link is given below.

https://brainly.com/question/19943359

Answer:

its not C just took test and it didnt tell me answer

Step-by-step explanation:

What is the volume of this triangular prism?

Answers

Answer:

[tex]\text { The volume }=288 \mathrm{ft}^{3}[/tex]

Step-by-step explanation:

let V be the volume of the prism

    B The area of the base which is a triangle

    h is the height of the prism

______

Formula:

V = B × h

________

[tex]\begin{aligned}B &=\frac{9 \times 4}{2} \\&=\frac{36}{2} \\&=18\end{aligned}[/tex]

h = 16

Now we calculate:

[tex]\begin{aligned}V &=B \times h \\&=18 \times 16 \\&=288\end{aligned}[/tex]

Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.

9. (1,3); y+2=4(x-1)

Answers

Answer:

pretty sure its y = 2x +1

Step-by-step explanation:

I’m don’t have much points please help

Answers

~Denki Kaminari here~

Answer:

JGH

Step-by-step explanation:

it can be proven because there is the measurement of "P".

hope this helps :D

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