The surface area S of a cylinder is S = 2πr² + 2πrh where r is the base radius and h is the height. What is h, in inches, when S is 175 square inches and r is 6 inches?

Answers

Answer 1

Answer:

h = -1.356

Step-by-step explanation:

Remark

This is one of those questions where you could solve for h in the formula and then just put values in for all the other variables. Since you have posted this on Brainly, I'll just use the formula given and my last step will be one of division

Formula

S = 2 * pi * r^2  + 2 * pi * r * h   Put the givens into the formula

Givens

S = 175 in^2

pi = 3.14

r = 6

h = ?

Solution

175 = 2 * 3.14 * 6^2 + 2 * 3.14 * 6 * h         Combine

175 = 226.08 + 37.68*h                             Subtract  226.08 from both sides

175-226.08 = 37.68*h                                Combine

-51.08 = 37,68*h                                         Divide by 37.68

h = - 51.08/37.68

h = -1.356

Comment

This is impossible. No value of measurement can be negative. But it is what you get when using the numbers given


Related Questions

A total of 395 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold?

Answers

Answer:

98.75 tickets

Step-by-step explanation:

395/4 = 98.75 (adult tickets)

check answer:

98.75 x 3= 296.25

296.25 + 98.75 = 395

hope this helps:)

What is the median of the data set?

10, 15, 27, 33, 33, 36, 42, 47, 45, 56, 78

Answers

Answer:

We can see that the number in the middle is 36. Hence the median of the data set is 36 the median of a data set is the number placed at the middle of a data after rearrangement either in ascending order or descending order.

Given the dataset 10, 15, 27, 33, 33, 36, 42, 47, 45, 56, 78

Step-by-step explanation:

36

Answer:

36

Step-by-step explanation:

10, 15, 27, 33, 33, 36, 42, 47, 45, 56, 78

The median is the middle number of the set

There are 11 data points so the middle is 11/2 = 5.5

Round up so the middle is the 6th data point

10, 15, 27, 33, 33,     36,       42, 47, 45, 56, 78

The median is 36

A designer makes the sketch shown below for a new lamp. What is the approximate area of her sketch?
The lamp shade is a trapezoid. Its area is approximately square inches. The bases of the lamp are two trapezoids. The area of each is approximately square inches. In total, the area is approximately square inches.​

Answers

The approximate area of the sketch for the new lamp is : A = 70 [tex]in^{2}[/tex]

What is a Trapezium

A trapezium is one pair of parallel sides and one pair of non-parallel sides.

from the diagram we can extract the necessary information needed to find the area of the trapezium.

for the first trapezium (lamp shade)

a = 4 in

b = 6 in

h = 6 in

[tex]A_{1}[/tex] = [tex]\frac{a + b}{2}[/tex] * h

[tex]A_{1}[/tex] = [tex]\frac{4 + 6}{2}[/tex] * 6

[tex]A_{1}[/tex] = [tex]\frac{10}{2}[/tex] * 6

[tex]A_{1}[/tex] = 5 * 6 = 30[tex]in^{2}[/tex]

For the area of the second trapezium (lamp base)

a = 4 in

b = 6 in

h = 4 in

[tex]A_{2}[/tex]  = [tex]\frac{a + b}{2}[/tex] * h

[tex]A_{2}[/tex]  = [tex]\frac{4 + 6}{2}[/tex] * 4

[tex]A_{2}[/tex]  = [tex]\frac{10}{2}[/tex] * 4

[tex]A_{2}[/tex]  = 5 * 4 = 20[tex]in^{2}[/tex]

For the area of the third trapezium (lamp base)

a = 6 in

b = 4 in

h = 4 in

[tex]A_{3}[/tex]  =  [tex]\frac{a + b}{2}[/tex] * h

[tex]A_{3}[/tex]  =  [tex]\frac{6 + 4}{2}[/tex] * 4

[tex]A_{3}[/tex]  =  [tex]\frac{10}{2}[/tex] * 4

[tex]A_{3}[/tex]  =  5 * 4 = 20[tex]in^{2}[/tex]

The total Area of the trapezium (lamp)

A = [tex]A_{1}[/tex]  +  [tex]A_{2}[/tex]  +  [tex]A_{3}[/tex]

A = 30 + 20 + 20

A = 70 [tex]in^{2}[/tex]

Inconclusion The approximate area of the sketch for the new lamp is : A = 70 [tex]in^{2}[/tex]

Learn more about Trapezoid : https://brainly.com/question/1463152

Answer:

Step-by-step explanation:

20, 30, 70

Anthony drove 140 miles in 2 1/2 hours. He then drove the next 3 1/4 hours at a rate that was 6 miles per hour slower than his first rate. How many miles did Anthony drive in all?

Answers

Answer:

302.5 miles

Step-by-step explanation:

using the relationship

D = ST ( D is distance, S is speed and T is time in hours )

given he  drove 140 miles in 2 [tex]\frac{1}{2}[/tex] = 2.5 hours , then

S = [tex]\frac{D}{T}[/tex] = [tex]\frac{140}{2.5}[/tex] = 56 mph

the next part of his journe is 6mph slower, that is 50 mph for 3 [tex]\frac{1}{4}[/tex] = 3.25 hours, then

D = ST = 50 × 3.25 = 162.5 miles

total distance travelled = 140 + 162.5 = 302.5 miles

I need help in this is due by Friday.

Answers

Answer:

top answer is 'c' and the bottom is 'a'

three teachers handed out math and science textbooks for their classes two teachers had 21 students each and the last teacher had 22 how many textbooks were handed out altogether

help me pls with this problem sooon

Answers

Answer:

64 textbooks

Step-by-step explanation:

the first two teachers had 21 students each that's 21+21=42

the other teacher had 22 students so apparently all the textbooks handed to the students are,21+21+22=64

Colter rides his dirt bike 8800 yards in 3 days how many miles did he ride?

Answers

Answer: 5miles

Step-by-step explanation: Convert 8800yards to miles. Divide by 1760


Which is equivalent to
4x - 6y?
2(x - 3y) or -2(-2x + 3y)

Answers

I think it’s -2(-2x + 3y) but I am unsure because I got -4 instead of 4

Step-by-step explanation:

2(x-3y) is already wrong 4/2 is 2 so it should be 2x hence answer is -2(-2x+3y)

Which function is graphed on the right? y = 2x 3 – 2 y = 2x–3 2 y = 2x–2 3 y = 2x–2 – 3

Answers

The equation of the function which is graphed on the right is specified by: Option C: y = 2^{x-2} + 3

How to find the function which was used to make graph?

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

Since there is no graph available, we will work with the image attached below.

The function, as visible is tending to output 3 and x goes more and more negative.

That means:

[tex]\lim_{x\rightarrow -\infty}f(x) = 3[/tex] (assuming the predicted pattern is true).

Checking this for all the options:

Case 1: [tex]y = f(x) = 2^{x+3} - 2[/tex]

[tex]\lim_{x\rightarrow -\infty}f(x) = \lim_{x\rightarrow -\infty} 2^{x+3} -2 = -2[/tex]
Thus, the graph doesn't belong to this function.

Case 2: [tex]y = f(x) = 2^{x-3} + 2[/tex]

[tex]\lim_{x\rightarrow -\infty} f(x) = \lim_{x\rightarrow -\infty}2^{x-3} + 2 = 2[/tex]
Thus, the graph doesn't belong to this function.

Case 3: [tex]y = f(x) = 2^{x-2} +3[/tex]

[tex]\lim_{x\rightarrow -\infty}f(x) = \lim_{x\rightarrow -\infty} 2^{x-2} +3 = 3[/tex]
Thus, the graph may belong to this function. (we are still not sure since the last option may also have same limit, which if is found to be true, then additional findings would've to be done too).

Case 4: [tex]y = f(x) = 2^{x-2} - 3[/tex]

[tex]\lim_{x\rightarrow -\infty}f(x) = \lim_{x\rightarrow -\infty} 2^{x-2} -3 = -3[/tex]
Thus, the graph doesn't belong to this function.

Thus, assuming at least one option is true, the graph of the considered function on the right is of the function [tex]y = f(x) = 2^{x-2} +3[/tex]

Learn more about graphing functions here:

https://brainly.com/question/10166124

Answer:

c

Step-by-step explanation:

Find the value of c.
12 cm
с
40 cm
Perimeter
100 centimeters
C=
centimeters
Submit

Answers

Answer:

[tex]c + c \: + 40 + 12 = 100 \\ 2c + 52 = 100 \\ 2c = 100 - 52 \\ 2c = 48 \\ c = \frac{48}{2} \\ c = 24cm[/tex]

Answer: 24

Explanation: 12+40 is 52, perimeter is adding up all the sides. since perimeter is 100, then you have to see what numbers you add to get 100. 100-52 is 48. since there are 2 sides, you divide 48 by 2, which is 24.

I hope this is helpful xx

Really appreciate it!!! Have a blessed day!!!!

Answers

Answer:

A.

Divide each dimension by scale factor of 5

Big Δ dimensions : Small Δ dimensions

35 : 7

30 : 6

15 : 3

a = 7 in

b = 6 in

c = 3 in

Hope this helps and God bless!

Compare using >, <, or=.
3 miles
5,000 yards

Answers

Answer:

>

Step-by-step explanation:

1 mile =1760 yards

so 3 mile= 1760x3=5280yard

so, 5280 yards is more than 5000 yards

FInd the value of x, between -π and π, satisfying the following inequality.

tan x < cos x​

Answers

Answer:

  (-1.570796, 0.666239) ∪ (1.570796, 2.475353)

Step-by-step explanation:

A graphing calculator can give you the numerical values that limit the intervals of the solution. The attachment shows this solution.

__

algebraic solution

We can multiply by cos(x) and solve the resulting quadratic inequalities. Two cases arise:

  tan(x) -cos(x) < 0 . . . . . . subtract cos(x)

  sin(x) -cos(x)² < 0 . . . . . . . for cos(x) > 0

  sin(x) -cos(x)² > 0 . . . . . . . for cos(x) < 0 (inequality is reversed)

Replacing cos(x)² with (1 -sin(x)²) gives quadratic equations in sin(x). (We're using <> to mean "could be greater than; could be less than, depending on cos(x)".)

  sin(x) -(1 -sin(x)²) <> 0

  sin(x)² +sin(x) -1 <> 0 . . . . put in standard form

  (sin(x)² +sin(x) +1/4) -1 -1/4 <> 0 . . . . complete the square

  (sin(x) +1/2)² -5/4 <> 0 . . . . . write as a square

  ((sin(x) +1/2)-√(5/4))·((sin(x) +1/2) +√(5/4)) <> 0 . . . . factor

Note that the second factor is always positive, so it has no impact on the intervals of solution.

__

The zeros of the first factor are located at ...

  sin(x) = 1/2(-1 +√5)

  x ≈ 0.666239 radians, and π - 0.666239 radians ≈ 2.475353 radians

The sine function will be positive between these angle values.

__

However, the intervals of solution to the inequality depend on the cosine function. Effectively, the solution space is where  (sin(x) +(1-√5)/2) and cos(x) have opposite signs.

cosine positive

The cosine function is positive for -π/2 < x < π/2, so one of the intervals of solution will be ...

  -π/2 < x < arcsin((√5 -1)/2), approximately (-1.570796, 0.666239)

cosine negative

The cosine function is negative for -π < x < -π/2 and for π/2 < x < π. The other interval of solution will be ...

  π/2 < x < (π -arcsin((√5 -1)/2)), approximately (1.570796, 2.475353)

_____

Additional comment

In the above, we have used α=arcsin( ) to mean the values of angle in the principal branch: -π/2 ≤ α ≤ π/2. That is why we have to subtract it from π to find the other end of the interval of interest.

You are ordering sweatshirts for your baseball team. How many more large sweatshirts than medium sweatshirts do you order?

Answers

Answer:

The answer is 10 and i know because im smart

Step-by-step explanation:

because im smart

Answer:

24

Step-by-step explanation:

add 8 and 12 and 4 and its 24

3 . 7 x - x =

Hurry please correct answers only fake answers will get you reported .

Answers

Answer:

20x

Step-by-step explanation:

help me please need help​

Answers

Answer:

Step-by-step explanation:

Trignomentary - real life problem.

We can find the height of the tower without measuring it. WE can find the height  of the tower when we know,

1.  A point which at a distance 'x' from the foot of the tower.

2. The angle of elevation is known  

Eg: A tower stands vertically on the ground. From a point on the ground which is 15 m away from the foot of the tower, the angle of elevation  of the top of the tower is 60°. Find the height of the tower.

AB - tower

We know the adjacent side of 60°  and we have to fing the opposite side of 60°. So, we have to use

[tex]\sf \ Tan \ 60^\circ=\dfrac{Opposite \ side \ of \ 60^\circ}{Adjacent \ side \ of \ 60^\circ}[/tex]

[tex]1.732 = \dfrac{AB}{BC}\\\\1.732=\dfrac{AB}{15}\\\\1.732*15=AB[/tex]

AB = 25.98 m

Height of the tower ≈ 26 m

write a function to describe the relationship of the values in the table (-9,-3) (-6,-2) (-3,-1) (0,0) (3,1)​

Answers

Answer:

y=1/3x

Step-by-step explanation:

A linear function is a relationship that has a degree of 1 and a constant slope. Linear functions are written in the form of y=mx+b, where m is the slope and b is the y-intercept.

Y-intercept

The y-intercept of a function is the y-value when x=0. In this case, we are given all of the coordinates. One of the coordinates is (0,0), which means that when x=0, y=0. So, the y-intercept is 0.

Slope

The slope is the change in y over the change in x. Using the coordinates we can find the slope through the formula [tex]\frac{y_{2} -y_{1} }{x_{2}- x_{1} }[/tex]. It will be easiest to use the coordinates (0,0) and (3,1). Plug these points into the formula to find the slope.

[tex]\frac{1-0}{3-0}[/tex] = [tex]\frac{1}{3}[/tex]

This means that the slope is 1/3.

Answer

Using the information found in the previous sections we can create the final answer, y=1/3x+0, or just y=1/3x.

Brittney bought 3 bags of candy, each with 11 pieces in it. She is dividing the candy among 6 of her friends. If each of her friends will get the
same number of candy pieces, how many pieces will be left over?

Somebody help me

Answers

Answer:

3

Step-by-step explanation:

There are 3 * 11 (33) pieces of candy33 / 6 = [tex]\frac{33}{6}=5\frac{3}{6}[/tex]This means that 3 pieces will be left over!

Which of the following numbers is best represented on the number line below?

Answers

Answer:

Option 1

Step-by-step explanation:

• There are 20 slices of bread in a loaf. How many 2-slice sandwiches can you make with 1 loaf? Write a multiplication fact and a division fact you could use to this problem. a​

Answers

Answer:

blm is the correct answer

Step-by-step explanation:

The number of the two-slice sandwich will be 10.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that there are 20 slices of bread in a loaf. The number of the sandwiches will be calculated as below:-

Number of the sandwiches = 20 / 2 = 10 sandwitch

Therefore, the number of the two-slice sandwich will be 10.

To know more about an expression follow

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solve for n: -1/2 (n + 8) +3/4

Answers

[tex]\frac{1}{2} (n+8) + \frac{3}{4} [/tex]

[tex]\frac{1(n+8)}{2} + \frac{3}{4} [/tex]

[tex]\frac{n+8}{2} + \frac{3}{4} [/tex]

[tex]\frac{2(n+8)}{4} + \frac{3}{4} [/tex]

[tex]\frac{2(n+8) + 3}{4} [/tex]

[tex]\frac{2n + 16 +3}{4} [/tex]

[tex] \frac{2n + 19}{4} [/tex]

What is the sum of 16x^3 – 5x– 2 and 6x^2 +3x+ 5?

Answers

Answer: 6x^2

Step-by-step explanation:

The table shows the number of hours that a group of friends been in the first week training to run a marathon. In the second week they each add five hours to their training times what are the mean median mode and range of times for the second week

Jeff - 9
Mark - 5
Karen - 5
Costas - 5
Brett - 7
Nikki - 6
Jack - 7

A.
Mean is 10
Median is 11
Mode is 11.3
Range is 4

B.
Mean is 11
Median is 11.3
Mode is 10
Range is 0.3

C
Mean is 11.3
Median is 11
Mode is 10
Range is 4

D
Mean is 11.3
Median is 11
Mode is 10
Range is 0.3

Please help this is a test question

Answers

Mean is 11.3 and the range is 4. Dont need to add 5 for all. Just do mean for the given options and add 5 at the end. Same with the range 9-5=4. Doesn’t change when you add 5 for all

C

PPLEASE HELP FOR 10 POINTS!!!!!
Write an equation to represent the verbal description.

In a computer game, Nikolai started with x points. After losing 50 points, Nikolai then tripled his score for a total of y points.

Answers

Answer:

[tex]y=3(x-50)[/tex]

Hope This Helps! :)

Please Give Brainliest if this is correct!

(Which I am pretty confident in...)

Your answer is Y=3 (x -50)

Have a nice day <3

In the tessellation below, what transformation(s) maps Brick A onto Brick B?
a glide reflection
a rotation followed by translation
a rotation followed by a reflection
reflection followed by a translation

Answers

Answer:

a rotation followed by a translation

Step-by-step explanation:

i did it

The rotation is followed by a translation.

We have given that,

a glide reflection

a rotation followed by a translation

a rotation followed by a reflection

reflection followed by a translation

We have to determine the tessellation below, and what transformation(s) maps Brick A onto Brick B.

What is rotation?

Rotation is the circular movement of an object around an axis of rotation. A three-dimensional object may have an infinite number of rotation axes.

Therefore the rotation is followed by a translation.

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10 squares and 8 circles. What is the simplest ratio of circles to total shapes?

Answers

Answer:

8:18

Step-by-step explanation:

8:18 also simplifies to 4:9

HELP

Select the correct answer.
The points scored per game by a professional basketball player are represented by the box plot below.

If the player scores 9 points and 35 points in the next two games, how is the median of the data set affected?
А.
The median points per game is not affected.

B.
The median points per game decreases.

C.
The median points per game increases.

D.
The effect on the median points per game cannot be determined.

Answers

Answer:

it is A the meidian is the middle number in a orderd set

Assessment Practice
11. The rectangle has a perimeter of 86 yards.
Which is its area?

Answers

Answer:

460

Step-by-step explanation:

23+23=46. 20+20=40. 46+40=86. 23×20= 460

Jenny scored a 70% on a 50 point test while Hannah scored 80% on the same test. Enter the difference.

Answers

Answer:

5

Step-by-step explanation:

70% is 0.7, multiply 0.7×50=35 points on Jenny's test. Hannah scored 0.8×50=40 points on the test. Subtract 40-35 for the answer of 5

A quadratic equation has the solutions x- -5 and x=4 What are the x-intercepts of the graph of the function?

Answers

Answer:
(-4, 0) and (1, 0)

Step-by-step explanation:
"Solutions" in this case have the same numeric values as do "x-intercepts."
If x = -4 is a "solution" of this quadratic equation, then (-4, 0) is the corresponding x-intercept. Likewise, if x = 1 is a solution, then (1, 0) is the corresponding x-intercept.
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