The surface area of a cylinder is given by the formula S A = 2pir^2 + 2pirh, where r is the radius of the base of the cylinder and h is the height of the cylinder. Solve the formula for h in the space given below. Show all the steps.

Answer:

Suppose we have a system of two linear equations, this can be written as:

y = a*x + b

y = c*x + d

Now, we have 3 possible cases here.

The solutions of the system are the points where the graphs of the linear equations do intersect.

Then, if for example, we have two parallel lines (two parallel lines never intersect) we have no solutions.

And we know that two lines are parallel if they have the same slope and different y-intercept.

Then the system:

y = a*x + b

y = a*x + c

has no solutions.

If we have both equal lines, then the lines intersect in infinitely many points, meaning that we have infinite solutions, then the system:

y = a*x + b

y = a*x +b

has infinite solutions.

And if the lines intersect only one time we have one solution, and this happens when the slopes are different, so the system:

y = a*x + b

y = c*x + d

has only one solution.

Now, if we have more equations:

y = a*x + b

y = c*x + d

y = k*x + n

We have more equations than variables, then this system only has one solution of the 3 lines intersect at the same point, which is really rare.

One case where we have a solution here is if the 3 equations have the same y-intercept:

y = a*x + b

y = c*x + b

y = d*x + b

where the solution is the point (0, b)

Of course, there are other possible solutions, but these are not as formulaic as this ones.

Answer:

7

Step-by-step explanation:

KU=UM

3x+3=4x-4

x= 7

Answer:

a b e

Step-by-step explanation:

The cost of the lunch after a 12% of increment will be $9.52. Then the correct options are A, B, and E.

How much any item is given like it was an extent of 100. The proportion can be communicated as a fourth of 100. The expression % deciphers for 100%. It is represented by the person '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The cost (p) of a lunch unique is $8.50. The eatery builds the cost by 12%.

The total amount of lunch will be given as,

⇒ p + 12% of p

⇒ p + 0.12p

⇒ 1.12p

Put p = $8.50, then the cost is given as,

⇒ 1.12 x $8.50

⇒ $9.52

The expense of the lunch after a 12% of augmentation will be $9.52. Then, at that point, the right choices are A, B, and E.

More about the percentage link is given below.

https://brainly.com/question/8011401

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The complete questions are attached below.

Step-by-step explanation:

#44 y = 180-122 = 58

x = (180-58)/2 = 61

Answer:

Step-by-step explanation:

Answer:

1. BC=25

2. DC=30

Step-by-step explanation:

In a parallelogram, pairs of opposite sides are always equal. The side opposite of AD is BC, so if AD=25, BC=25. Likewise, if side AB=30, side DC=30. Of course, this is assuming the shape is a parallelogram. If it is not, there is no way of determining the side lengths.

lmk if im wrong, hope this helps :)

Answer:

a) b ≈ 100

b) m ≈ 30

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

After 30 minutes Emily and Jennifer charged an equal amount

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Let us find charges for emily and Jennifer

For Emily

The line passing through points (0, 6) and (6, 8)

Slope =2/6=1/3

y intercept is 6

6=b

Equation is y=1/3x+6

Now let us find for Jennifer (0, 4) and (5, 6)

m=2/5

y intercept is 4

Equation is y=2/5x+4

Now equation both equations

1/3x+6=2/5x+4

1/3x-2/5x=4-6

x(1/3-2/5)=-2

x(5-6)/15=-2

-x/15=-2

x=30

Hence, after 30 minutes Emily and Jennifer charged an equal amount

To learn more on slope intercept form click:

https://brainly.com/question/9682526

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Answer:

2.8

Step-by-step explanation:

i used a calculator

Answer:

2/5

Step-by-step explanation:

Answer:

B keeping his debt above 30% of his credit card limit.

Answer:

600 ft

Step-by-step explanation:

Mark as brainilest

And I'm only 80% sure that is the correct

Answer: radius is is 12.

Step-by-step explanation:

Explanation: A circle with equation of the form x2+y2=r2 will have radius r=√144=12 .

Sorry, I'm not sure on the bottom part

We know,

The general equation for circle is –

[tex] { \boxed{\bf{\rm \red {(x \: - \: a)² \: + \: (y \: - \: b)² \: = \: r²}}}} [/tex]

[tex] \bf (a, \: b) \: = \: center \: coordinates [/tex]

[tex] \bf r \: = \: radius [/tex]

[tex] \bf a \: = \: 0 \: , \: b \: = \: 0 \: , \: r \: = \sqrt{144} \: = \: 12 [/tex]

[tex] \bf Center \: coordinates \: = \: (0, \: 0) [/tex] [Answer]

[tex] \bf Radius \: = \: 12 [/tex] [Answer]

__________________________________________________

NOTE – Refer the above attachment.

__________________________________________________

Answer:

133.3m³

Step-by-step explanation:

Volume of pyramid=lwh/3

=10×8×5/3

=400/3

=133.3m³

Hopefully this helped :D

Answer:

208

(4×8)+(4x8)+(12×12)

Divide the figure into 3 shapes: 2 rectangles and 1 square

Area of rectangle 1: L * W

L = 5, W = 2

2 * 5 = 10 m^2

Area of rectangle 2: L * W

L = 6 + 2 , W = 3

8 * 3 = 24 m^2

Area of square: s^2

2^2 = 4 m^2

Add all them together

10 + 24 + 4 = 38 m^2

Step-by-step explanation:

Area of the top Horizontal Rectangle =

Length x Width

=

[tex](5 + 3 + 2) \times 2 \\ = 10 \times 2 \\ = 20 {m}^{2} [/tex]

Area of the bottom vertical rectangle =

Length x Width

=

[tex]6 \times 3 \\ = 18 {m}^{2} [/tex]

Total Area = Sum of Area of 2 Rectangles

=

[tex]20 + 18 \\ = 38 {m}^{2} [/tex]

Answer:

18.18%

Step-by-step explanation:

66 - 54 = $12

% change - 12/66 * 100

simplify - 12/66 --> 2/11

2/11 * 100

200/11

18.18%

Answer:

Devin has to run 3 more meters than Garrett to complete one lap.

Step-by-step explanation:

Since a running track design is composed of two half circles connected by two straight-line segments, and Garrett is jogging on the inner lane (with radius r) while Devin is jogging on the outer (with radius R), if r = 30 meters and R = 33 meters, to determine how much longer does Devin have to run to complete one lap, the following calculation must be performed:

33 (lane where Devin is jogging) - 30 (lane where Garrett is jogging) = X

33 - 30 = X

3 = X

Therefore, Devin must run 3 more meters than Garrett to complete one lap.

Answer:

x= 30, y= 90

Step-by-step explanation:

Let the smaller number be x and the greater number be y.

Given that the sum of the 2 numbers is 120,

x +y= 120 -----(1)

The greater number is 3 times the smaller number:

y= 3x -----(2)

Substitute (2) into (1):

x +3x= 120

Simplify:

4x= 120

x= 120 ÷4 (÷4 on both sides)

x= 30

Substitute x= 30 into (2):

y= 3(30)

y= 90

Answer:

Let the first number be x

Then the second number will be 3 × x = 3x

According to the question

3x + x = 120

4x = 120

Taking 4 to RHS

x = 120/4

x = 30

Number are

x = 30

3x = 3(30) = 90

[tex] \\ [/tex]

Answer:

[tex]\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}[/tex]

Step-by-step explanation:

Incomplete question:

[tex]\angle CBD = 53^\circ[/tex]

[tex]\angle CAB = 35^\circ[/tex]

[tex]AB = 75[/tex]

See attachment for complete question

Required

Determine the equation to find x

First, is to complete the angles of the triangle (ABC and ACB)

[tex]\angle ABC + \angle CBD = 180[/tex] --- angle on a straight line

[tex]\angle ABC + 53= 180[/tex]

Collect like terms

[tex]\angle ABC =- 53+ 180[/tex]

[tex]\angle ABC =127^\circ[/tex]

[tex]\angle ABC + \angle ACB + \angle CAB = 180[/tex] --- angles in a triangle

[tex]\angle ACB + 127 + 35 = 180[/tex]

Collect like terms

[tex]\angle ACB =- 127 - 35 + 180[/tex]

[tex]\angle ACB =18[/tex]

Apply sine rule

[tex]\frac{\sin A}{a} = \frac{\sin B}{b}[/tex]

In this case:

[tex]\frac{\sin ACB}{AB} = \frac{\sin CAB}{x}[/tex]

This gives:

[tex]\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}[/tex]

Step-by-step explanation:

sin18

∘

)

=

x

(sin35

∘

)

Step-by-step explanation:

Incomplete question:

\angle CBD = 53^\circ∠CBD=53

∘

\angle CAB = 35^\circ∠CAB=35

∘

AB = 75AB=75

See attachment for complete question

Required

Determine the equation to find x

First, is to complete the angles of the triangle (ABC and ACB)

\angle ABC + \angle CBD = 180∠ABC+∠CBD=180 --- angle on a straight line

\angle ABC + 53= 180∠ABC+53=180

Collect like terms

\angle ABC =- 53+ 180∠ABC=−53+180

\angle ABC =127^\circ∠ABC=127

∘

\angle ABC + \angle ACB + \angle CAB = 180∠ABC+∠ACB+∠CAB=180 --- angles in a triangle

\angle ACB + 127 + 35 = 180∠ACB+127+35=180

Collect like terms

\angle ACB =- 127 - 35 + 180∠ACB=−127−35+180

\angle ACB =18∠ACB=18

Apply sine rule

\frac{\sin A}{a} = \frac{\sin B}{b}

a

sinA

=

b

sinB

In this case:

\frac{\sin ACB}{AB} = \frac{\sin CAB}{x}

AB

sinACB

=

x

sinCAB

This gives:

\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}

75

(sin18

∘

)

=

x

(sin35

∘

)

Answer: 4

Step-by-step explanation:

u+3=7

u=7-3

u=4

Answer:C

Step-by-step explanation:332 square in

Answer:

The answer is C, 332 in.2.

Step-by-step explanation:

Just did the unit test on edge. Hope this was able to help, have a good day <3 :)

Answer:

27/50 is the answer.

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Area for a square is s² where 's' is a side (all sides have the same length)

1/2y

that's all, hdejshbdjesj

Answer:y/2

Step-by-step explanation:

4xy^2/8xy  

y/2      

x will be cancelled with x and y in denominator with one y in neumenator  so one y in neumenator  is left and 4/8 is 1/2 so that's all

Answer:

A

We are 95 percent confident that the mean increase in the weight of a black bear for each one-year increase in the age of the bear is between 7.0 and 18.4 pounds.

Step-by-step explanation:

The 95 confidence interval given by 1.272±0.570, or (0.702,1.842), estimates the relationship between weight in tens of pounds and age in years. So we are 95 percent confident that the mean increase in the weight of a black bear will be between 7.0 and 18.4 pounds for each one-year increase in the age of the bear.

The correct interpretation of the provided confidence interval is given by:

Option B: We are 95 percent confident that an increase of one year in the age of an individual black bear will result in an increase in the black bear's weight of between 7.0 and 18.4 pounds.

Suppose the confidence interval at P% for some parameter's values is given by [tex]x \pm y[/tex]

That means, that parameter's estimated value is P% probable to lie in the interval [tex][x - y, x + y][/tex]

For this case, the regression line predicts weight in tens of pounds based on the age in years.

The 95% confidence interval for that prediction is given to be: [tex]1.272 \pm 0.570[/tex]

That means, the predicted value of weight of a black bear (in tens of pounds) when one year age is incremented is 95% probable to lie in the interval [tex][1.272 - 0.57, 1.272 + 0.57] \approx [0.7, 1.84][/tex]

That is for weight in tens of pounds. Converting it to pounds gives us the interval [tex][7.0, 18.4][/tex] approx.

Note the words "prediction", and "of a bear".

That makes us conclude that:

Option B: We are 95 percent confident that an increase of one year in the age of an individual black bear will result in an increase in the black bear's weight of between 7.0 and 18.4 pounds.

(focus on the "will result in" phrase. It is taking similar to prediction thing. Since we're taking about regression line which tries to fit line for prediction of future output values for input values, thus, we chose second option.)

Thus, the correct interpretation of the provided confidence interval is given by:

Option B: We are 95 percent confident that an increase of one year in the age of an individual black bear will result in an increase in the black bear's weight of between 7.0 and 18.4 pounds.

Learn more about confidence interval here:

https://brainly.com/question/2396419

Answer:

the given value x=13 is not a solution of the inequality

Step-by-step explanation:

we first need to solve this inequality (can treat the inequality like a normal equation to solve it)

5x-17 > 62

5x > 79

x>(79/5)

keep in mind that (79/5)=15.8

so x needs to be bigger than 15.8 in order to satisfy this inequality.

since 13<15.8 when x=13 it does not satisfy the inequality

therefore the given value x=13 is not a solution of the inequality

Answer:

printf(“%d”, i++);

Step-by-step explanation:

Answer:

count += 1

OR

count = count + 1

Step-by-step explanation:

count = 0

numbers = int(input("Enter a number: "))

while number > 0:

    number = number // 10

    count +=1

print("Total number of digits", count)

Answer:

29 degrees

Step-by-step explanation:

x + 61 = 90

x = 90 - 61

x = 29