Find the height of the cylinder given the surface area and one
other dimension:r = 5 in SA
659,4 in?

Find The Height Of The Cylinder Given The Surface Area And Oneother Dimension:r = 5 In SA659,4 In?

Answers

Answer 1

Answer:

C 16 inches

Step-by-step explanation:

a cylinder is 2 circles (1 on top, 1 at the bottom) and a round "mantle" connecting the two circles.

so, the surface area is the sum of the areas of both circles and the "mantle".

this "mantle" can be cut open and cut off the circles, and then be placed flat on the table. then it is simply a rectangle with the side lengths cylinder height (h) and circle circumference.

circle area : pi × r²

circle circumference : 2 × pi × r

rectangle area :

length × width = circle circumference × h

SA = 659.4 inches² = 2×(pi × r²) + (2×pi×r)×h =

= 2×pi×25 + 2×pi×5×h = 50×pi + 10×pi×h

=> 659.4 - 50×pi = 10×pi×h

=> (659.4 - 50×pi) / (10×pi) = h = 16 inches


Related Questions

Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was purchased , the value of the savings bond was $156. Find the value of the bond when Tyler's mom purchased it. Explain your reasoning.

Answers

Answer:

Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was purchased, the value of the savings bond was $156.

Find the value of the bond when Tyler's mom purchased it. Explain your reasoning.

Step-by-step explanation:

A water slides at a party of s 15 feet tall.The base of the water slide is 8 feet long.what is the length of the slide?

Answers

Answer:

It would be 17 feet.

Step-by-step explanation:

So to do this, there is a right triangle being made with the height of the water slide and its base (length). With this, the Pythagorean Theorem can be used to find the hypotenuse of these lengths by the equation:

a^2 + b^2 = c^2

So by plugging in the given legs of the triangle, the answer can be found.

15^2 + 8^2 = c^2

225 + 64 = c^2

289 = c^2

c = 17

Find the VOLUME of this figure.

Answers

Answer:

188,160

Step-by-step explanation:

if your doing it by step the answer is 188,160 but when you simply it it is 62.6

(7.5)What is the value of x?
X
オー2
x + 5
x + ]
A
7.5
B.
10
C
2.5
D
5

Answers

Answer:

D 5

Step-by-step explanation:

the same scaling factor s applies to all sides when transforming from the small to the large triangle.

x×s = x + 5

(x-2)×s = x +1

=> s = (x+5)/x

=> (x-2)×(x+5)/x = x + 1

=> x² + 3x - 10 = x² + x

=> 3x - 10 = x

=> 2x = 10

=> x = 5

Evaluate 3(x + y) for x = 2 and y = 7 show work.

Answers

Answer:

[see below]

Step-by-step explanation:

[tex]3(x+y)\\\\3(2+7)\\\\3(9)\\\\\boxed{27}[/tex]

Hope this helps!

Answer:

27

Step-by-step explanation:

plug in what = x and y in the parenthisis

so that would be 3(2+7)

you do what is in the parentheisis first 2+7= 9

then you multiply  3*9=  27

A tiene la mitad de lo que tiene B. Si A gana 66 y B pierde 90. A tendrá del doble de lo que le quede a B ¿cuanto tiene cada uno?

Answers

Respuesta:

a = 82; b 164

Explicación paso a paso:

a = 1 / 2b - - - (1)

a gana 66 = a + 66

b = b - 90

a = 2b

a + 66 = 2 (segundo - 90) - - - (2)

Ponga a = 1 / 2b en (2)

1 / 2b + 66 = 2 (b-90)

0.5b + 66 = 2b - 180

0.5b - 2b = - 180 - 66

-1,5b = - 246

b = 164

a = 1 / 2b

a = 1/2 * 164

a = 82

Evaluate the expression when x = 4 and y = 5.

3x2 + 4yº.x-1


Answers

Answer:

49

Step-by-step explanation:

Plug in 4 for x and 5 for y

[tex]3x^{2}+4y^{0}*4^{-1} \\3*4^{2} +4*5^{0}*4^{-1} \\3*16+4*5^{0}*4^{-1} \\[/tex]

4 – (3 – 5) =

Possible Answers:
A. -4
B. -2
C. 6
D. 12

Answers

Answer:

6

Step-by-step explanation:

4 – (3 – 5) =

PEMDAS says parentheses first

4 – (-2) =

Subtracting a negative is like adding

4 +2

6

Answer:

2-

Step-by-step explanation:

.....................................................................

What is the midline equation of y = 2 sin( pi/2 x+3)?​

Answers

Answer:

y = 0 is the midline equation.

Step-by-step explanation:

The midline equation of y = 2 sin( pi/2 x+3) is the same as that of

                                         y = 2 sin( pi/2 x+3) or y = sin( pi/2 x+3), and is

                                          y = 0.

A cylinder has a height of 8 inches and a radius of 7 inches. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth. Cubic inches

Answers

Answer:

No idea, just wanna learn and get points

Answer: [tex]1230.88\ in.^3[/tex]

Step-by-step explanation:

Given

A cylinder has a height [tex]h=8\ in.[/tex]

Radius of the cylinder is [tex]r=7\ in.[/tex]

Volume of the cylinder is given by [tex]V=\pi r^2 h[/tex]

Insert the values

[tex]\Rightarrow V=\pi \times 7^2\times 8\\\Rightarrow V=3.14\times 49\times 8\\\Rightarrow V=1230.88\ in.^3[/tex]

Thus, the volume of the cylinder is [tex]1230.88\ in.^3[/tex]

PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

acute

hope this helps

have a good day :)

Step-by-step explanation:

answer quickly please both of them

Answers

Answer:

answer 10 32.78

anawer 11 12

In the figure, RV, WS, and QT intersect at point P.
What is the value of x? Show your work.

Answers

Answer:

x = 12

Step-by-step explanation:

67+42+6x-1=180

108+6x=180

6x=72

x=12

I’ll mark you Brainliest!!! Please helppp!!!! Don’t answer with “you can download the answers here” and then the link, that doesn’t work! You just want the points


The value of an investment after t years is given by the function, A (t) = 500 (1 + 0.07t).

Complete the following statement. The initial value of the investment is_____,and the annual simple interest rate is____percent.

For the first blank
A. $500
B. $700

For the second blank
A.50
B.70
C.7
D.0.5
E.0.07

Answers

Answer:

A. $500

C. 7 percent

Step-by-step explanation:

Your problem follows the format of the Simple Interest Formula.

The formula is described as follows: A = P(1 + r*t)

Where P = initial value

r = interest rate as a decimal

t = amount of time.

In your equation of A = 500 ( 1 + 0.07 t )

we can see that 500 represents the P value which is the initial value of the investment.

We can also see that the rate is 0.07. Then converted from a decimal to a percent would be 7 percent.

Find the factorial form
3x2x1

Answers

Answer:

3x2x1=3!

Step-by-step explanation:

using nx(n-1)x_x1=n

3x2x1=3!

hence,3x2x1=3!

As the founder of the book club, you won't hold any office yourself, but there are 36 other members who are eligible for the different posts. After contacting each member, you find that 32 of them want to be the club's president. You decide to apply the first counting rule to choose the president.Question 3 What is the probability that each candidate has of being the club's president?

Answers

Answer:

2.3%

Step-by-step explanation:

Answer:

STRIGHT FROM THE SITE

Step-by-step explanation:

A car dealership offers two types of discounts.

Discount 1: Take 5% off the original price of a car built last year, and then receive a $3,500 rebate.

Discount 2: Take 10% off the original price of a car built this year, and then rece ve a $1,250 rebate.

A customer is deciding between two cars. Car R was bure ast year and has an original price of $25,340. Car 5 was built this vear and has an original price of 522.960. .

Based on this information, which statement is true?

F The customer would pay $19,524 for cars S.

G The customer would pay $24.078 For Cars R.

H The customer would pay $21,824 For Cars S.

J The customer wou d pay $23.10 O Car R.​

Answers

Question:

Based on the same question options as found an online resource, we have;

Statement

G. The customer would pay $24,073 for car R

Answer:

The true statement

G. The customer would pay $24,073 for car R

Step-by-step explanation:

Discounts are deductions from the original price of a commodity or service

A rebate is a partial refund after payment is made

The discount offered by the car dealership are;

Discount 1;

5% reduction off a car built last year's original price, + $3,500 rebate

Discount 2;

10% reduction off a car built this year's original price + $1,250 rebate

The year car R was built = Last year

The original price for car R = $25,340

Let 'A' represent the amount the customer would pay, let, 'p' represent the price of the car, let 'd' represent the discount offered, and let 'r' represent the rebate

Given that the payment is made before the rebate, we have;

The amount the customer will pay, A = p - (p×d)

Therefore;

The amount the customer would pay for car R = $25,340 - (0.05 × $25,340) = $24,073

The amount the customer would pay for car S = $22,960 - (0.1 × $22,960) = $20,644

Therefore, the true statement, is the customer would pay $24,073

Answer:

$24,073

Step-by-step explanation:

ANSWER ASAP!!
What is the surface area of the shaded front face of the composite solid?​

Answers

Answer:

break it in three rectangles!

let the rectangles be A B and C

For A = 4×2

For B 3× (4-2)

For C = 4×3

Total area 26cm²

What is the product of -1.24 and 4.25?
A-5.27
B -3.01
C 3.01
D 5.49

Answers

The product is A -5.27

15. Find the product of (5x – 3) and (x3 – 5x + 2).
a) 5x4 – 3x3 + 25x2 – 5x – 6
b) 5x3 – 28x2 + 25x – 6
c) 5x4 – 3x3 – 25x2 + 25x – 6
d) 5x3 + 22x2 – 5x – 6

Answers

Answer:

B. 5x^4 - 28x^2 + 25x - 6

Step-by-step explanation:

the steps r in the pic above

What is the Quadratic Formula for y = x2 + 4x – 5

Answers

Answer:

i believe it is already written in the quadratic formula. there's nothing to change

Step-by-step explanation:

can someone please help me get the steps right ????

Answers

Yes zoom in a little for me

Pls tell me the answer I don’t know it I need help

Answers

Answer:

(5,2)

Step-by-step explanation:

The first coordinate is the x coordinate or the distance left or right from the origin.  To get to L we go 5 units to the right or +5.

The second coordinate is the y coordinate or the distance up or down,  We go 2 units up or +2

(5,2)

Answer:

the answer is

x-axis=+5

y-axis=+2

therefore the answer here is (5,2)

Item 19 Your pump empties the water from a swimming pool in 6 hours. When your friend's pump is used together with your pump, the pool is emptied in 1.5 hours. How long (in hours) does it take your friend's pump to empty the pool when working alone

Answers

Answer:

0.75 hours

Step-by-step explanation:

Time taken by my pump = 6 hours

Time taken by friend's pump = x

Combined time = 1.5 hours

Rate :

my pump = 1/6

Combined rate = 1/1.5

Combinwd rate = 1/6 + 1/x

Hence :

1/6 + 1/x = 1/1.5

(x + 6) / 6x = 1.5

x + 6 = 9x

x - 9x = - 6

-8x = - 6

x = - 6 / - 8

x = 0.75 hours

120 people were asked the colour of their car and the pictogram shows the results. 32 cars are red. how many cars are white?

Answers

Answer:

120-32=88

Where is the pictogram?

which expression represents the area of this shape

Answers

We can’t see the shape

Answer:

which shape pls

Step-by-step explanation:

Will mark correct answer brainliest

Answers

Answer:

the answer is minimum

Step-by-step explanation:

that's correct, correct me if I'm wrong

Answer:

Minimum is the correct answerrr

Step-by-step explanation:

Mark brainliest pls

Which expression is NOT equal to 28?
A (9+ 25 = 5) 2

B.3-4x2) - 11x7

C.42= 6 + 28 = 4

D. 7* [8-(2-4 * 2)]
I

Answers

Answer:

You need the legnth of x

Step-by-step explanation:

Answer:

C.42= 6 + 28 = 4 is the answer

SOMEONE PLEASE HELP!! EXPLANAITION = BRAINLIEST + FIVE STARS!! THANK YOU SO MUCH


A cone with volume 448 m³ is dilated by a scale factor of 1/4.

The volume of the resulting cone is ___ cubic meters.

Answers

The answer is 112

The volume is 448
You are asked to dilate it to a scale factor of 1/4
All you are doing is multiplying: 448/1 × 1/4

NEED ASAP URGENT
Which similarity statement expresses the relationship between the two triangles?

triagleZYX- triangleCAB

triangleZYX-triangleACB

triangleZYX-triangleCBA

triangleZYX - triangleABC

Answers

Given:

The figure of two triangles.

To find:

The similarity statement for the given triangles.

Solution:

The corresponding sides of similar triangles are proportional.

In the given triangles,

[tex]\dfrac{XY}{AB}=\dfrac{6}{12}[/tex]

[tex]\dfrac{XY}{AB}=0.5[/tex]

Similarly,

[tex]\dfrac{YZ}{BC}=\dfrac{3}{6}[/tex]

[tex]\dfrac{YZ}{BC}=0.5[/tex]

And,

[tex]\dfrac{XZ}{AC}=\dfrac{7}{14}[/tex]

[tex]\dfrac{XZ}{AC}=0.5[/tex]

Since [tex]\dfrac{XY}{AB}=\dfrac{YZ}{BC}=\dfrac{XZ}{AC}[/tex], therefore

[tex]\Delta XYZ\sim \Delta ABC[/tex]

It can be written as:

[tex]\Delta ZYX\sim \Delta CBA[/tex]

Therefore, the correct option is A.

Other Questions
I will give brainliest JKL has vertices at J(2, 4), K(1, 6), and L(4, 4). Determine whether JKL is a right triangle 4.Which explanation provides the best real-world scenario of the graph?A. If an object is dropped from a height of 120 feet, the function h(t) = 16t2 + 120 gives the height of the object after t seconds.B. If an object is dropped from a height of 16 feet, the function h(t) = 16t2 + 120 gives the height of the object after t seconds.C. If an object is dropped from a height of 120 feet, the function h(t) = 16t2 120 gives the height of the object after t seconds. HELP ME PLEASE I REALLY NEED IT!!Find the RATIO and the EXACT VALUE of the given Sec B. Can someone help me please? A force of 350 newtons stretches a spring 30 centimeters. How much work is done in stretching the spring from 20 centimeters to 50 centimeters this is 6th grade writingI NEED HELP ON BOTH OF THEM Is a triangle with side lengths 7cm, 24 cm, and 25 cm a right triangle? Explain. What is the surface area of the triangular prism?A triangular prism. The rectangular sides are 24 feet by 40 feet, 40 feet by 15 feet, and 40 feet by 15 feet. The triangular sides have a base of 24 feet and height of 9 feet. 1. You and your friend mix water and citric acid. You add 3 cups of citric acid for every16 cups of water. Your friend adds 2 cups of citric acid for every 12 cups of water. Whosemixture is more acidic? [PLEASE HELP ME] Have you ever had a bad meal in a restaurant? (write in one paragraph, thank you ) Select the correct text in the passage.Which detail in the excerpt best supports the idea that the setting is in a very busy place?from Rogue Heart by Axie OhThe dreamers gather in Neo Beijings starlight district. The wanderers and the thrill-seekers.Those with poems in their souls and secrets in their hearts. All those racing toward the bright, unknowable future. All those running from pasts painful and unforgiven. If you listen carefully, you can hear the song of the city. Its in the sharp, raucous laughter of the kids barreling down the crowded streets, in the heavy electronic beats erupting like great beasts from basement clubs, in the wind whistling through dark alleys, and in the rain as it drops on to the city like so many falling stars. Two years ago, I stumbled into the city, half starved and afraid, and I couldnt hear the song. My heart beat louder than the music.The wanderers and the thrill-seekersthe kids barreling down the crowded streetserupting like great beasts from basement clubsin the rain as it drops on to the city like so many falling stars.EDMENTUM 14. On January 1, Nick Co. purchased a delivery truck for $60,000. The truck's salvage value is $2,000, and its estimated useful life is 10 years. The productive life of the truck is estimated to be 100,000 miles. During the first year, the truck was driven 19,000 miles. Nick uses the double-declining balance method of depreciation. What amount of depreciation expense should Nick record for the first year Geometry//// volume of a cylinder Hi plz help, if you can ill mark you 5 starz! :) you want to go Post malone concert ASAP:The estimated atomic mass of silicon could be Choose... amu because the Choose.. abundant isotope is Choose... Beth is flying a kite with 300 feet of string. The kite gets stuck in a tree, so she ties the other end of the string to a rock on the ground making the string taut. The angle of elevation from the rock to kite is 35 degrees. How far up the tree is the kite? Round your answer to the nearest tenth. (No links please) what is potential energy?? How to keep my family safe during a hurricane?