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S = 2πr2 + 2πrh


In the cylinder shown, the radius is 3 inches and the height is 7 inches. Find the surface area of the cylinder. Round your answer to the nearest tenth. A) 89.2 in2 B) 131.9 in2 C) 188.5 in2 D) 197.9 in2

Answer:

A

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

Answer:

Unit rate of people per book = 2.5

Step by step explanation:

Given:

Number of peoples =  [tex]10[/tex]

Number of books = [tex]4[/tex]

Their ratios = [tex]10 : 4[/tex]

We have to find the unit rate of people per book.

To find out the unit rate of people per book we have to divide the total number of peoples by the total number of books.

Or

For this we will follow the unitary method:

For [tex]4[/tex] book there are [tex]10[/tex] persons.

For [tex]1[/tex] book there will be [tex]\frac{10}{4}[/tex] persons.

So,

The numeric value = [tex]\frac{10}{4}[/tex]

                               = [tex]2.5[/tex]

There are 2.5 people per book and that it also the unit rate of people per book.

Answer:

8/5 or 1 3/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

The absolute change is the difference between the earnings numbers:

  $15,556,113 -8,556,965 = $6,999,148

__

The relative change is the ratio of this difference to the original amount:

  $6,999,148/$8,556,965 × 100% ≈ 81.794748% ≈ 81.79%

The absolute change in opening weekend earnings from the original Footloose to its remake is $6,999,148, and the relative change is approximately 81.74%.

To calculate the absolute change in opening weekend earnings from the original Footloose movie to its 2011 remake, we subtract the earnings of the original movie from the earnings of the remake. Thus, the absolute change is $15,556,113 - $8,556,965 = $6,999,148.

To find the relative change, we divide the absolute change by the original amount and then multiply by 100 to get a percentage. This gives us ($6,999,148 / $8,556,965) * 100 ≈ 81.74%. Hence, the relative change is approximately 81.74%.

The absolute change represents the direct increase in dollar amount, while the relative change gives us the percentage increase from the original to the remake's opening weekend earnings, providing insight into the growth rate.

Measures of the angles are 24°, 48° and 108°

Step-by-step explanation:

Let angles be 2x, 4x and 9x.

⇒ 2x + 4x + 9x = 180

⇒ 15x = 180

⇒ x = 180/15 = 12

2x = 24°, 4x = 48° and 9x = 108°

Answer:

8 gumballs.

Step-by-step explanation:

How many cents you have divided by the cost:

32 divided by 8 = 4

The answer times the amount of gumballs:

4 x 2 = 8

8 gumballs.

Answer:

92.11 cm³

Step-by-step explanation:

The figure below;

We are required to determine the volume of the figure;

The volume of a hemisphere is given by;

Volume hemisphere = 2/3πr³

Taking π to be 3.14

The Volume  of the two hemisphere;

             = 2/3 × 3.14 × 2³

             = 16.75 cm³

Volume of the cylinder;

Volume = πr²h

             = 3.14 × 2² × 6

             = 75.36 cm³

Thus, volume of the figure;

      = 16.75 cm³ + 75.36 cm³

      = 92.11 cm³

Hence, the volume of the figure is 92.11 cm³

Answer:

[tex]y=-2x-8[/tex]

Step-by-step explanation:

Let [tex]y=mx+c[/tex] be the equation of this line.

The points must satisfy this equation.

When x=-8, and y=8, we get:

[tex]8=-8m+c....(1)[/tex]

When x=1, and y=-10, we get:

[tex]-10=m+c...(2)[/tex]

Subtract equation (1) from equation (2) to get:

[tex]m--8m=-10-8[/tex]

9m=-18

m=-2

We put m=-2 in equation to get (2)

-10=-2+c

c=-10+2

c=-8

Therefore the equation is:

y=-2x-8

The annual percentage rate is: 1.2%

Step-by-step explanation:

The formula for calculating simple interest is:

[tex]I = Prt[/tex]

Here

P is the principal amount

r is the interest rate

t is the time in years

We are Given:

[tex]P = 1450\\t = 8\ years\\I = 139.20[/tex]

Putting the values in the formula

[tex]139.20 = 1450 * r * 8\\139.20 = 11600r[/tex]

Dividing both sides by 11600

[tex]\frac{11600r}{11600} = \frac{139.20}{11600}\\r = 0.012[/tex]

Converting into percentage

r  = 0.012*100

r = 1.2%

Hence,

The annual percentage rate is: 1.2%

Keywords: Percentage, interest

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Answer:look

Step-by-step explanation:

The diagonals of a rectangle exist congruent the necessary conditions are

A. Opposite sides are congruent.

C. Opposite sides are perpendicular.

A quadrilateral exists named a rectangle if the opposite sides exist congruent and parallel to each other. All interior angles exist as right angles and are congruent.

To verify that the diagonals of a rectangle exist congruent the necessary conditions are:

1. Opposite sides of a rectangle exist congruent.

2. All right angles exist congruent.

Therefore, the correct answer is options A and C.

A. Opposite sides are congruent.

C. Opposite sides are perpendicular.

To learn more about diagonals of a rectangle

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Answer:

Step-by-step explanation:

The area of the H is 86

Answer: Just draw a line at the end of each

Step-by-step explanation: Like this

H   I I at the end

Answer:

15.6

Step-by-step explanation:

15+32=47

47/3=15.6

since the - is there

it will be -15.6

Answer:

Step-by-step explanation:

let x represent the number

3x - 15 = -32

3x = -32 + 15

3x = -17

x = -17/3 or - 5 2/3 <====

The first, second, third, and fifth statements are true, but the fourth and sixth statements are false. The responses are based on evaluating the square root calculations.

The statements we are analyzing are related to the square root of 1.8 (√1.8). Let's work through them:

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Answer:

-12 or 5

Step-by-step explanation:

p² + (p+7)² = 169

p² + (p²+14p+49) = 169

2p² + 14p + 49 - 169 = 0

2p² + 14p - 120 = 0

2p² + 24p - 10p - 120 = 0

2p(p+12) - 10(p+12) = 0

(p+12)(2p-10) = 0

p+12 = 0 , or 2p-10 = 0

p = -12 or 5

Answer:

p = 3

Step-by-step explanation:

p² + (p +7)²=169

Open the bracket and solve the value in the bracket according to BODMAS

p^2 + p^2 + 7^2 = 13^2

Square Root the both side of the equation.

√{p^2} + √{p^2} + √{7^2} = √{13^2}

p + p +7 = 13

2p + 7 = 13

collect like term of the numbers

2p = 13 - 7

2p = 6

Divide both side by the coefficient of p.

2p/2 = 6/2

p = 3.

Answer:

End time = 9:50

Step-by-step explanation:

Elapsed time = End time - start time

End time = Elapsed time + start time

End time = 2 hour,20 minutes + 7:30

End time = 9:50

Answer:

[tex]y = 2x - 1[/tex]

Step-by-step explanation:

The line shown is a straight line its equation is of the form.

[tex]y = mx + c[/tex]

Where m is the slope and c is the y-intercept.

From the graph, the slope is

[tex]m = \frac{rise}{run} [/tex]

[tex]m = \frac{2}{1} = 2[/tex]

The y-intercept from the graph is where the line intersects the y-axis, so c=-1

We substitute the values to get:

[tex]y = 2x - 1[/tex]

Explanation of how to find the equation of lines based on their slopes and intercepts.

Equation of the line: The equation of the left line is y = -x + 1 and the equation of the right line is y = 1/2x - 1/2.

Using Slope-Intercept Form: The slope-intercept form of the equation y = mx + b helps determine the equations of lines based on their slopes and intercepts.

Point-Slope Formula: By using the point-slope formula, which utilizes a point on the line and the line's slope, we can find the equation of a line.

Answer:

10 rows with the set of 100 blocks is what she will make

Step-by-step explanation:

Where

First row is 1

Second row is 3

Third row is 5

This shows that the blocks are set in an oddly fashion

Meaning each row has a odd number of blocks

Therefore from

1 block- row 1

3 blocks- row2

5 blocks- row 3

7 blocks - row 4

9 blocks- row 5

11 blocks - row 6

13 blocks- row 7

15 blocks - row 8

17 blocks- row 9

19 blocks - row 10

Add of the blocks it amounts to 100 blocks

Meaning the triangular will be at the 10th row when she has use 100 blocks

Answer:

Boooommm x= -2

Step-by-step explanation:

3x − 14y = –20

ok so 3x-14y=-20

+14 to invert the fraction

-20+14=-6

3x=-6

-6/3=-2

x=-2

Answer:

(p - 12)(p + 2)  or

p^2 - 10p - 24.

Step-by-step explanation:

We use the Difference of 2 Squares Identity.

a^2 - b^2 = (a - b)(a + b).

So (p - 5)^2 - 49

= (p - 5 - 7)(p - 5 + 7)

= (p - 12)(p + 2)

= p^2 - 10p - 24.

Answer:

(p - 12)(p + 2)

Step-by-step explanation:

(p-5)² - 49​ =

= (p - 5 - 7)(p - 5 + 7)

= (p - 12)(p + 2)

a² - b² = (a - b)(a + b)

a = p - 5

b = 49

Answer:

a parabola, sort of like a u shape

Step-by-step explanation:

Answer:

circumference = 10 pi = 2r pi

then r =5

next area of circle = 5 .5.pi = 25 pi

Step-by-step explanation:

Answer:

4x² - 20x + 16

Step-by-step explanation:

Given

(4x - 4)(x - 4)

Each term in the second factor is multiplied by each term in the first factor, that is

4x(x - 4) - 4(x - 4) ← distribute both parenthesis

= 4x² - 16x - 4x + 16 ← collect like terms

= 4x² - 20x + 16

Answer:

I just know that for number 9.)It's C because it has a greater number, meaning it has a greater chance of containing Adam's house number.

Answer: you will get 8.75, but the answer should be 9 bags

Step-by-step explanation:

Answer:

Janice required 30 tablespoons of butter, 380 Jet-Puffed Marshmallows and 60 cup of Kellogg's rice krispies cereal to yield 120 servings.

Step-by-step explanation:

Given that 3 tablespoons of butter, 38 Jet-Puffed Marshmallows, and 6 cup of Kellogg's rice krispies cereal) yields 12 servings.

Now, Janice has to make for 30 people and each with 4 servings for the Christmas Party.

So, there are total (30 × 4) = 120 servings required to make.

So, each and every ingredients of the dish will be required to be made 10 times.

Therefore, Janice required 30 tablespoons of butter, 380 Jet-Puffed Marshmallows and 60 cup of Kellogg's rice krispies cereal to yield 120 servings. (Answer)  

Janice will need 30 tablespoons of butter, 380 marshmallows, and 60 cups of rice krispies cereal for the Christmas Party.

To find out how many of each ingredient Janice will need, we need to calculate the total servings required for the Christmas Party. She is expecting 30 people and wants everyone to have 4 servings each. So the total servings required would be 30 * 4 = 120 servings.

Now, we can calculate the ratio of servings to each ingredient. If 12 servings require 3 tablespoons of butter, then 120 servings would require (120/12) * 3 = 30 tablespoons of butter.

Similarly, if 12 servings require 38 marshmallows, then 120 servings would require (120/12) * 38 = 380 marshmallows. And if 12 servings require 6 cups of rice krispies cereal, then 120 servings would require (120/12) * 6 = 60 cups of rice krispies cereal.

So, Janice will need 30 tablespoons of butter, 380 marshmallows, and 60 cups of rice krispies cereal for the Christmas Party.

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Answer:

Step-by-step explanation:

function 1 : y = 4x + 5

In y = mx + b form, which is what ur equation is in, the slope can be found in the m position. So the slope of this function is 4.

function 2 : (1,6),(3,10)

slope = (y2 - y1) / (x2 - x1)

(1,6)...x1 = 1 and y1 = 6

(3,10)...x2 = 3 and y2 = 10

now we sub

slope = (10 - 6) / (3 - 1) = 4/2 = 2

B. Function 1, because the slope is 4 and the slope of function 2 is 2. <==

Answer:

Function 1, because the slope is 4 and the slope of function 2 is 2. Use the slope formula.

Rachel bought six 20-cent stamps and eight 30-cent stamps.

Step-by-step explanation:

Given,

Amount spent on stamps = $3.60 = 3.60*100 = 360 cents

Let,

x = 20 cent stamps

y = 30 cent stamps

According to given statement;

20x+30y=360      Eqn 1

x = y-2                  Eqn 2

Putting value of x from Eqn 2 in Eqn 1

[tex]20(y-2)+30y=360\\20y-40+30y=360\\50y=360+40\\50y=400[/tex]

Dividing both sides by 50

[tex]\frac{50y}{50}=\frac{400}{50}\\y=8[/tex]

Putting y=8 in Eqn 2

[tex]x=8-2\\x=6[/tex]

Rachel bought six 20-cent stamps and eight 30-cent stamps.

Keywords: linear equation, substitution method

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Final answer:

Rachel bought 8 thirty-cent stamps and 6 twenty-cent stamps. We solved a system of equations representing the cost of the stamps and their quantity relationship to determine the numbers.

Explanation:

Rachel spent $3.60 for stamps to mail packages, buying 30-cent stamps and 20-cent stamps. The number of 20-cent stamps was 2 less than the number of 30-cent stamps. To solve this, we can use a system of equations to represent the total cost and the relationship between the number of stamps:

Let x be the number of 30-cent stamps.

Let y be the number of 20-cent stamps.

Based on the information given:

0.30x + 0.20y = 3.60 (Total cost equation)

y = x - 2 (Relationship between the stamps)

We substitute the second equation into the first equation:

0.30x + 0.20(x - 2) = 3.60

0.30x + 0.20x - 0.40 = 3.60

0.50x = 4.00

x = 8

Now we solve for y using the second equation:

y = 8 - 2

y = 6

So Rachel bought 8 thirty-cent stamps and 6 twenty-cent stamps.

Answer:

10 Girls

Step-by-step explanation:

This shows that there is twice as many boys in the gym class than girls.

Step 1:  Determine what the ratio relates to the amount

1:2 -> 10:20

10 Girls

20 Boys

Answer:

The enswer is corect because is the biggest then girls to boys

Step-by-step explanation:

You should multiply [tex]\frac{9}{5}[/tex] with [tex]\frac{-5}{9}[/tex] to get a product of -1

Solution:

Let the number to be multiplied be "a"

Given that,

By what number would you multiply 9/5 to get a product of -1

'a" multiplied with 9/5 should give a product -1

Therefore, writing it mathematically we get,

[tex]a \times \frac{9}{5} = -1[/tex]

Solve the above equation for "a"

[tex]a \times \frac{9}{5} = -1\\\\a = -1 \times \frac{5}{9}\\\\a = \frac{-5}{9}[/tex]

Therefore, you should multiply [tex]\frac{9}{5}[/tex] with [tex]\frac{-5}{9}[/tex] to get a product of -1

Final answer:

To multiply 9/5 by a number to get -1, you must multiply it by -5/9. This is found by setting up an equation to solve for the unknown number and then isolating the variable on one side of the equation.

Explanation:

To find by what number you would multiply 9/5 to get a product of -1, we can set up an equation that represents this situation:

Let x be the number we are looking for. Then we have the equation: (9/5) × x = -1

To solve for x, we need to divide both sides of the equation by (9/5): x = -1 ÷ (9/5)

Multiplying by the reciprocal of (9/5), which is (5/9), we get:

x = -1 × (5/9)

x = -5/9

Therefore, you must multiply 9/5 by -5/9 to get a product of -1.

10 km

Step-by-step explanation:

If 4 cm represents 8 kilometers then 1 cm represents;

8 / 4

= 2

1 cm : 2 km

How, then, about 5 cm – the distance between Sophie's home and school?

5 cm : ? km

A cross multiplication;

1 cm : 2 km

5 cm : x km

(5 * 2) = 1 x

x = 10/1

x = 10