A right cylinder has a circumference of 14π cm. Its height is 3 times the radius. Identify the lateral area and the surface area of the cylinder.

L = 923.6 cm2 ; S = 1231.5 cm2
L = 967.6 cm2 ; S = 1231.5 cm2
L = 294 cm2 ; S = 392 cm2
L = 461.8 cm2 ; S = 967.6 cm2

Answers

Answer 1

Answer:

L=923.6 cm2 ; S =1231.5 cm2

Explanation:

L=2πR

L=14π

2πR=14π

R=14π/2π=7 - the radius

h=3R=3*7=21 -the height

S(l)=2πRh=Lh=14π*21=294π≈923,6 - the lateral area

S(s)=2πR²+Lh=2π*7²+294π=2π*49+294π=98π+294π=

     =392π≈1231,5 -the surface area


Related Questions

A rectangle is placed around a semicircle as shown below. The width of the rectangle is 6 yd. Find the area of the shaded
region.
Use the value 3.14 forn, and do not round your answer. Be sure to include the correct unit in your answer.
16 yd
yd
yd?
yd
X Х
$
Check

HELP PLEASEEE

Answers

Answer:

15.48 yd squared

Step-by-step explanation:

This is because 6 yards can be used as the radius of your circle. square your radius, so 6x6 which is 36 then multiply by 3.14. You then get 113.04. Since it is a semicircle, divide it by 2. You now get 56.52. If you know your radius, you know your diameter which is 12. 12 is also the length of the rectangle so 6x12 is 72 which is the area of the rectangle. Now subtract 56.52 from 72 to get 15.48 which is the shaded region of the rectangle. So I believe that you are doing yards, so 15.48 yd squared. I hope this helps :)

please help, and please don't spam this answer if not I will report u thank u very much

Answers

Answer: 240.6cm *squared*

Step-by-step explanation:

Surface Area= (2 x Area of 1st face) + (2 x Area of 2nd face) + (2 x Area of 3rd face)

= (2 x 10.5cm x 5.4 cm) + (2 x 10.5 cm x 4.0cm) + (2 x 5.4cm x 4.0cm)

= 113.4cm*squared* + 84.0cm *squared* + 43.2cm *squared*

= 240.6cm *squared*

OR

= 2 x (sum of the 3 faces)

= 2 x (56.7cm * squared* + 42.0cm *squared* + 21.6cm *squared*)

= 2 x 120.3cm *squared*

= 240.6cm *squared*

1. The area of a figure is 32 square centimeters.
Suppose the sides of the figure are doubled. What
will be the new area of the similar figure?

Answers

Answer:

128

Step-by-step explanation:

If the area of a figure is 32 square centimeters then the length/breadth could be 8cm and 4cm or 16cm and 2cm.

Let’s assume that the the sides of the figure are doubled, if that’s the case then we would arrive at 8*2 * 4*2 or 16*2 * 2*2 in which 16*8 or 32*4 which will both result to 128 as the answer.

Kira can type 72 words in 8 minutes.
What is her rate in words per minute?

Answers

Answer:

9

Step-by-step explanation:

No.of words in

- 8 minutes = 72

- 1 minute = 72/8

                = 9

Answer:

9 words per every minute

Step-by-step explanation:

Theres 72 words in 8 minutes, so to get her words to minute, ratio you do 72 divided by 8 to get 9, words per minute.

Find the volume of a rectangular prism with a length of 2.4 ft, a height of 4.5 ft, and a width of 1.3 ft.

Answers

Answer:

14.04 ft^3

Step-by-step explanation:

2.4 ft x 4.5 ft x 1.3 = 14.04 ft^3

Need help fast!!!!!!!!

Answers

Answer:

the arc length of minor arc AC is

[tex] \frac{165}{360} .2\pi.3 = \frac{11\pi}{4} [/tex]

What is the volume of a rectangular prism with a height of 1.5 feet and a base area of 4.5 square feet use the formula V=Bh

Answers

Step-by-step explanation:

you can use that same formula to answer that same question

The volume of the rectangular prism is [tex]6.75ft^{3}[/tex]

Diagram of a rectangular prism is shown in the attachment below.

Given that:

the height (h) = 1.5 ft

base area (B) = 4.5 sq ft

Volume of rectangular prism (V) [tex]= Bh[/tex]

Plug in the known values into the formula:

[tex]V = 4.5 \times 1.5\\V = 6.75 ft^{3}[/tex]

Volume of the rectangular prism is [tex]6.75ft^{3}[/tex]

Learn more about rectangular prism here:

https://brainly.com/question/11613210

How many solutions does the system have?
5y = 15x - 40
y = 3x -8
A. Infinitely many solutions
B. No solutions
C. Exactly one solution

Answers

Answer:

A; infinitely many solutions

Step-by-step explanation:

first, let's simplify the first equation to make it simpler.

divide both sides by 5

y=3x-8

new system

y=3x-8

y=3x-8

as you can see, they are the same.

not mandatory but useful!⬇⬇⬇⬇

just to be more clear, let's substitute them. since they're both already in y=, we can make them both set to each other.

3x-8=3x-8

add 8 to both sides; subtract 3x from one side

0=0

the answer is A, Infinitely many solutions.

hope this helped <3333333

Angela wants to know how many families in her neighborhood plan to attend the parade. She puts all 120 of the neighborhood addresses in a hat and draws a random sample of 30 addresses. She then asks those families if they plan to attend the parade. She finds that 40% of the families plan to attend the parade. She claims that 40% of the neighborhood families would be expected to attend the parade. Is this a valid inference? (5 points)

A) Yes, this is a valid inference because the 30 families speak for the whole neighborhood

B) Yes, this is a valid inference because she took a random sample of the neighborhood

C) No, this is not a valid inference because she did not take a random sample of the neighborhood

D) No, this is not a valid inference because she asked only 30 families

Answers

Your answer should be A
the answer would be b

PLEASE HELP ME


Describe the sequence in words:
5,9,13,17,21...

Answers

Answer: an = 4n + 1

Step-by-step explanation:

Use the formula an = a1 + d (n - 1) to identify the sequence

Amanda bought 19 packs of cookies for $22.99 from the supermarket. How many packs of cookies can she buy for $59.29?

Answers

Answer:

49

Step-by-step explanation:

1.21 x 49 = 59.29

PLEASE HELP ME VERY EASY QUESTION I WILL MARK AS BRAINLIEST

Answers

Your answer is (- x)6 and y 4 and z


Because you have to combine them like integers. I got you :)
That should be the answer

please solve this correctly

Answers

B.16.7%. This is the right answer

Which graph represents a sequence that converges because the values approach 2?

Answers

Answer:

its b

Step-by-step explanation:

just did it on edge

Graph C represents a sequence that converges because the values approach 2.

What is a converging graph?

Convergent definition in mathematics is a property (displayed by certain innumerable series and functions) of approaching a limit more and more explicitly as an argument (variable) of the function increases or decreases or as the number of terms of the series gets increased.

According to the given problem,

Graph 1, Graph 2 and Graph 4 are diverging graphs. We are assuming this because the a divergent sequence doesn't have a limit. Thus, this sequence converges to 0. In many cases, however, a sequence diverges that is, it fails to approach any real number.

Graph 3 has a limit and converges as it approaches 2.

Hence, we can conclude that Graph 3 converges because the values approach 2.

Learn more about converging graphs here: https://brainly.com/question/15415793

#SPJ2

Alice tyre pressure gauge shows a reading which is 8% lower than actual pressure

what is the actual pressure of Alices tires when the gauge shows 33.58

Answers

Answer:

30.8936

Step-by-step explanation:

Pressure guage reading is 8% lower than tbe actual pressure.

Therefore, for a tyre with guage pressure, 33.58 ;

The actual pressure of tyre would be :

Guage pressure - 8% of guage pressure

33.58 - (0.08 * 33.58)

33.58 - 2.6864

= 30.8936

Actual pressure = 30.8936

Pleasee help ASAP!! No links pleaseee!!!

Answers

Given:

The vertices of the rectangle ABCD are A(0,1), B(2,4), C(6,0), D(4,-3).

To find:

The area of the rectangle.

Solution:

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, we get

[tex]AB=\sqrt{(2-0)^2+(4-1)^2}[/tex]

[tex]AB=\sqrt{(2)^2+(3)^2}[/tex]

[tex]AB=\sqrt{4+9}[/tex]

[tex]AB=\sqrt{13}[/tex]

Similarly,

[tex]BC=\sqrt{(6-2)^2+(0-4)^2}[/tex]

[tex]BC=\sqrt{(4)^2+(-4)^2}[/tex]

[tex]BC=\sqrt{16+16}[/tex]

[tex]BC=\sqrt{32}[/tex]

[tex]BC=4\sqrt{2}[/tex]

Now, the length of the rectangle is [tex]AB=\sqrt{13}[/tex] and the width of the rectangle is [tex]BC=4\sqrt{2}[/tex]. So, the area of the rectangle is:

[tex]A=length \times width[/tex]

[tex]A=\sqrt{13}\times 4\sqrt{2}[/tex]

[tex]A=4\sqrt{26}[/tex]

[tex]A\approx 20[/tex]

Therefore, the area of the rectangle is 20 square units.

Amelia made a line plot of her scores on 25-point math quizzes.

What is the difference between the total of her most frequent number of points per quiz and

the total of her greatest number of points scored per quiz?

A. 0 points

B. 6 points

C. 18 points

D. 22 points

Answers

Answer:

How do I ask a question on here?

Step-by-step explanation:

Answer:

B.6 points

Step-by-step explanation:

First you can see that one is bigger and taller and if you count on the number line it will be 18, and 18 has 6 dots so it is B which says 6 dots.

Is 72 Inches greater less or equal to 2 yd and why

Answers

Answer:

72 is equal to 2 yards.

Explanation:

There are 36 inches in one yard.

(another way to look at this is there are 3 feet in one yard, each feet is 12 inches. So, 12 multiplied by 3 is equal to 36 inches, or one yard)

Then, since in this question we are finding out in relation to 2 yards, add 36 inches + 36 inches, and that is equal to 72 inches.

72 and 72 are equal :)

Point D is located at (-13, -1). Point Q is located at (0, 12). Determine the slope-intercept equation of line DQ.

Answers

Use the slope formula to determine the slope of the two points. Since (0,12) is the y-intercept it is already given.

Y = x +12

Answer:

y=x+12

Step-by-step explanation:

m (slope)=1

y-intercept=12

hope this helped have a great day :)

y=1/4x-6, m=? b=?
pls help

Answers

Answer: x=4y+24

b=b

How to:  Solve in terms of the arbitrary variable  y  .

Have a great day and stay safe ! So sorry if im wrong .

Addison prepares 9 cups of salsa her cookout. she divided it into 1/4 of cup servings how many servings are available.A (12 servings) B (14 servings) C (15 servings) D ( 36 servings)

Answers

Answer:

The answer is D or 36

Step-by-step explanation:

Divide the cups by servings

9/.25=36

Hi, I need help please!

Jacob stood in line to pick up a souvenir postcard at the museum. All the postcards were either blue, white, or green, with a picture of a fish, insect, or bird. There was an equal number of each type of postcard. What is the probability that Jacob was randomly handed a green postcard with a fish on it?

A): 1/6

B): 1/9

C): 1/2

D): 1/3

Thanks so much, I would truly appreciate it! :)

Answers

the answer would be 1/6 :), also can I get brainliest!

Plz help on this ASAP I forgot

Answers

Answer:

B) If you use 9 cups of almonds, you need 5 cups of flour

Step-by-step explanation:

If 9 is your x-coordinate, that represents 9 cups of almond.

If 5 is your y-coordinate, that represents 5 cups of flour.

Therefore, B is correct

Let A be a matrix with independent rows. A. Show that AAT is invertible. B. Show that if b is any vector in Col(A), then the equation Ax = b has a solution in Row(A) given by xR = AT (AAT )−1 b. (The matrix AT (AAT )−1 is called the pseudoinverse of A, and is usually denoted by A+ . It is a right inverse of A, and coincides with the two-sided inverse A−1 if A is square.) c. The mapping of Col(A) to Row(A) given by xR = AT (AAT )−1 b is an isomorphism

Answers

Answer:

Attached below

Step-by-step explanation:

Given that A is a matrix with independent rows

A) Prove [tex]AA^{T}[/tex] is invertible

rank of A = number of rows of Matrix A

This shows that | A | ≠ 0  ( i.e. A has a full rank )

also  [tex]|A^{T} |[/tex] ≠ 0

and [tex]|AA^{T}|[/tex] = | A | [tex]|A^{T} |[/tex]   ≠ 0

Hence we can conclude that [tex]AA^{T}[/tex] is invertible

B) Prove that b is any vector in Col( A )

Attached below is the detailed solution

C) Mapping of Col ( A ) to Row ( A )

b is a non-zero vector hence AXr = 0 ( i.e. there is no solution )

also the kernel of the mapping will be Null

show that mapping preserves the operation

attached below is the detailed solution

PLEASE HELP EASY MATH!!!

Answers

C.) 16

EXPLANATION:
The entire figure is 30 cm sq.

14 of it is in the triangle.

meaning the rest is in the square

30 - 14 = 16.

Hope this helps!
Answer:

C. 16

Explanation: have a good day!

How many different codes can a combination lock have if there are 4 numbers on the lock and each number can be from 0-9?

Answers

Answer:

There are 10,000 possible combinations that the digits 0-9 can be arranged into to form a four-digit code. Suprisingly, people have an intense lack of imagination when it comes to choosing codes.

The function f(x) = 1.25x^2 models the packaging costs, in cents, for a box shaped like a rectangular prism. The side lengths are 2x in., 2x in., and 0.5x in. What are reasonable domain and range values for this function, if the longest side length of the box can be no greater than 20 in.? Write the answers in interval notation.

Answers

Answer:

I’m not sure but I need this too!!

Step-by-step explanation:

Which property of equality justifies the statement If MN + PQ = RS + PQ, then MN = RS?

Answers

Answer:

Additive Property of Equality

Step-by-step explanation:

If we are discussing equations, then the property would be the Additive Property of Equality. It states that if we know something is added to both sides of an equation, the sides remain equal. If y+x=z+x, we know that y=z.

Solve for the missing side. Round to the nearest tenth.
HELP MEEE PLS ):

Answers

Answer:

b² =  13.2

Step-by-step explanation:

5.8²+b²=14.4²

33.64+b²=207.36

-33.64       -33.65

b²= √173.71

b² = 13.1799089526

b² =  13.2

Someone please help! WILL MARK BRAINLIST!!

Answers

d the parallelogram moved 7 units left

Answer:

c.) 7 units to the right

Step-by-step explanation:

A is 7 units away from A', B is 7 units away from B', and so on...

:)

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