Find the length of the arc.

Answer:

18

Step-by-step explanation:

Adding 6 and 3 gives you the full length of the long side of rectangle  and since 3 is the radius of the circle, the short side if the rectangle would also be equal to 3.

So, the long sides equal 9 and the short sides are 3, making the perimeter 18

The perimeter of the rectangle is P = 24 units

The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.

Perimeter P of rectangle = 2 ( Length + Width )

Given data ,

Let the perimeter of the rectangle be P

Now , the width of the rectangle = radius of circle

W = 3 units

And , the length of the rectangle is L = 6 + 3 = 9 units

And , Perimeter P of rectangle = 2 ( Length + Width )

On simplifying , we get

P = 2 ( 9 + 3 )

P = 2 x 12

P = 24 units

Hence , the perimeter is 24 units

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Answer:

[tex]5.1[/tex] units

Step-by-step explanation:

(4, 4) & (9, 3)

To find the distance of two points, we use the distance formula:

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

Let's plug in what we know.

[tex]d = \sqrt{(9 - 4)^2 + (3 -4)^2 }[/tex]

Evaluate the parentheses.

[tex]d = \sqrt{(5)^2 + (-1)^2 }[/tex]

Evaluate the exponents.

[tex]d = \sqrt{(25) + (1)}[/tex]

Add.

[tex]d = \sqrt{(26)}[/tex]

Evaluate the square root.

[tex]d = \sqrt{26}[/tex] or [tex]5.0990[/tex] units

Round to the nearest 10th.

[tex]5.1[/tex] units

Hope this helps!

Answer:

Step-by-step explanation:

The approximate measurements of the central angle of the slice of pizza Charles cut will be 164 degrees. The correct option is B.

The arc length of a circle can be calculated with the radius and central angle using the arc length formula.

Arc length = ∅/360 × 2πr

Given that pizza is 15 inches the slice has an arc length of 21.5 inches along the crust.

Use the formula above to calculate the value:-

Arc length = ∅/360 × 2πr

21.5  = ∅/360 × 2π ( 7.5 )

∅ = ( 21.5 x 360 ) / 2π ( 7.5 )

∅ = 164 degrees

Therefore, the approximate measurements of the central angle of the slice of pizza Charles cut will be 164 degrees. The correct option is B.

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Answer:

Two solutions

Step-by-step explanation:

Answer:

c. 39

Step-by-step explanation:

you have to find the middle of this. 39 is the middle.

Answer:

Larger groups tends to take less time to solve the puzzle.

Step-by-step explanation:

It is given that Vincent gathered few groups from 1 to 8 people and he gave them the same puzzle to solve for each group. The graph is provided which show the relationship between the number of groups and the time taken by each group to solve the puzzle.

From the graph, it cam be seen that, the larger groups is more likely to take less amount of time to solve the puzzle as compared to the smaller groups.

Answer:

B

Step-by-step explanation:

Khan Academy says so

Answer:

3x-5+6x+14=180

9x+9. =180

9(X+1).= 180

X+1. =20

X= 19

Answer:

A)

Step-by-step explanation:

if you use the foil method on A you get '100k² - m²'

Answer:

Step-by-step explanation:

By its reciprocal.

Answer:

B.

Step-by-step explanation:

34 + 34 = 68 + .5+.5= 69

Answer:

the new area is 1% smaller.

Step-by-step explanation:

the area of a rectangle is length times breadth.

let's call them a and b

Area = a × b

now, a is increased by 10%. that means it is multiplied by 11/10.

because 100% means the whole thing, 1% means a 1/100th part of the whole. and 10% then means 10 times the 1/100th part of 10 × 1/100 = 10/100 = 1/10

if then simmering increases by 10% it means that it is the original 100% plus 10%.

so, it is 100/100 + 10/100 = 10/10 + 1/10 = 11/10

therefore the new length is

a(new) = a(old)×11/10

in exactly the same way, when the breadth is reduced by 10% we get then

breadth(new) = breadth(old)×9/10

so, Area(new) = a(new)×b(new) = a(old)×11/10 × b(old)×9/10

remember, Area(old) = a(old)×b(old)

so, Area(new) = a(old)×b(old) × 11/10 × 9/10 =

= Area(old) × 11/10 × 9/10 =

= Area(old) × 99/100

that means the new area has lost compared to the old area 1/100th of its size. 1/100th = 1%

Step-by-step explanation:

The exact question is as follows :

Given - The value of π up to 35 decimal places is given below:

3.14159265358979323846264338327950288

To find - Make a frequency distribution of the digits 0 to 9 after the decimal point.

Proof -

The Frequency Distribution Table for digits after decimal point in the value of Pi is :

Digits        Frequency after decimal point

0                               1

1                               2

2                               5

3                               6

4                               3

5                               4

6                               3

7                               2

8                               5

9                               4

Total Digits =               35

Answer:

TC (A) = 40x , TC (B) = 500 + 20x

Step-by-step explanation:

Let the number of students be = x

Hall A Total Cost

Relationship Equation, where TC (A) = f (students) = f (x)                                40 per person (student) = 40x

Hall B Total Cost

Relationship Equation, where TC (B) = f (students) = f (x)                          500 fix fee & 20 per person (student) = 500 + 20x

Answer:it’s 1/4

Step-by-step explanation:

Answer: 1/4

Step-by-step explanation:

Answer:

12. (8(2.5)-3)

(20-3)

y=17in

10. 3x+1+92=180

3x+93=180

3x=180-93

3x=87

x=87/3

x=29°

11. (6(2.5)+2)

(15+2)

G=17

Answer:

#10 I think its 14.3

#11 GI=16

#12 AC =17

Step-by-step explanation:

180-92=88 divided by 2=44

6x2.5=15+2=17

8x2.5=20-3=17

Answer:

9.5

Step-by-step explanation:

Answer:7

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

Answer:

Michelle. 70cm³

Step-by-step explanation:

Michelle's popcorn volume: 10cm x 10cm x 13.5cm = 1350cm³

Beyunka's popcorn volume: 8cm x 8cm x 20cm = 1280cm³

Therefore, Michelle's popcorn container can hold more.

1350 - 1280 = 70cm³

Answer:

the sequence is adding 5 the next number would be 22

hope this helps

have a good day :)

Step-by-step explanation:

7, 12, 17, 22, 27 . . .  (5n + 2)

n = 1, => 7

n = 2, => 12

n = 3, => 17

n = 4, => 22

Answer:

Yes.

Step-by-step explanation:

A triangle is a right triangle if the sides satisfy the Pythagorean Theorem, or:

a² + b² = c².

So input the values.

a² + b² = c²

3² + 4² = 5²

9 + 16 = 25

25 = 25

The triangle with sides 3 m, 4 m, and 5 m is a right triangle.

Answer:

Yes, it's a right triangle.

Step-by-step explanation:

We can use the Pythagorean theorem to help.

The theorem states that if a triangle is right, [tex]a^{2} + b^{2} = c^{2}[/tex].

C is the longest side of the right triangle or the hypotenuse.

A and b are the other 2 sides

5 is the greatest so that must be [tex]c[/tex].

4 and 3 are [tex]a[/tex] and [tex]b[/tex]. (It doesn't matter which is a and which is b)

Plug in the numbers:

[tex]4^2 + 3^2 = 5^2[/tex]

Solve:

16 + 9 = 25

25 = 25

This triangle is a right triangle!

Answer:

245,564people

Step-by-step explanation:

The population of Algebra City is approximately 314,159 people, but the rate decreases at 2.7% each year. About how many people will live in Algebra City in 9 years?

We solve for the above question using the formula for Exponential decrease. =

P(t).= Po(1 - r)^t

Where

P(t) = ?

Po = Initial population = 314159

r = 2.7% = 0.027

t = time = 9 years

P(t) = 314159(1 - 0.027)⁹

= 245564.2088

Approximately to the nearest whole number = 245,564people

Answer:

1.

[tex] - 2x + 24 = 93 \\ 2x - 24 = - 93 \\ 2x = - 69 \\ x = - 34.5[/tex]

2.

[tex]1.5x - 1.1 = 3.4 \\ 1.5x = 4.5 \\ x = 3[/tex]

Answer:

51.

Step-by-step explanation:

Step 1: Define/explain.

To find the range of a data set, subtract the smallest number from the largest number.

Step 2: Solve.

[tex]14, 23, 6, 54, 30, 26, 17, 3, 26[/tex]

[tex]54-3=51[/tex]

Step 3: Conclude.

I, therefore, believe the range of this data set is 51.

Answer:

VF= $25.088.000

Step-by-step explanation:

Dada la siguiente información:

Inversión inicial (VP)= $20.000.000

Tasa de interes (i)= 12% anual

Número de periodos (n)= 2 años

Para calcular el falor futuro (VF) de la inversión, debemos usar la siguiente formula:

VF= VP*(1 + i)^n

VF= 20.000.000*(1,12^2)

VF= $25.088.000