Ramsay cuts out a piece from a circular cardboard for a school project. The radius of the cardboard is 10 inches and the measure of the central angle is 54 degrees, as shown.

What is the length of the curved boundary of the piece of the cardboard Ramsay cuts out?
Leave in terms of π.

Answer:

102cm²

Step-by-step explanation:

Step 1 find the area of the whole rectangle

Area of a rectangle = width times length

The width of the rectangle is 20 cm and the length is 6cm

So the area = 20 * 6

20 * 6 = 120

Hence the area of the rectangle is 120 square centimeters.

Step 2 Find the area of the square and the triangle

Area of square = s²

where s = side length

The square has a side length of 3 so the area of the square = 3²

3² = 9

Hence, the area of the square is 9cm²

Now to find the area of the triangle

area of a triangle = [tex]\frac{bh}{2}[/tex] where b = base length and h = height

We are given the height (3 cm, this is given because the square is sharing it's side length with the height of the triangle.)

Now to find the base length

We can find it by subtracting the overall rectangle's width (20cm) by the bottom width (11 cm) and the bottom length of the square ( 3 cm )

so triangle's base length = 20 - 11 - 3

20 - 11 - 3 = 6

so the base length of the triangle is 6 cm

now we plug in the values of the height and the base length into the formula

[tex]A=\frac{6*3}{2} \\6*3=18\\\frac{18}{2} =9[/tex]

Hence the area of the triangle is 9 cm²

Finally, to find the area of the shaded area, we subtract the area of the triangle and the area of the square from the area of the rectangle

so your answer = 120 - 9 - 9

120 - 9 - 9 = 102

Hence, the area of the shaded region is 102 square centimeters.

Answer:8.8ft

Step-by-step explanation:

250/3.14*3^2

250/3.14*9

250/28.26

8.8464

8.8ft

Answer:

Step-by-step explanation:

-10x+7(-6)=18

-10x-42=18

      +42 +42

___________

-10x/-10=60/-10

x= -6

Answer:

The probability that I pick a magic elf is 6.66%.

Step-by-step explanation:

Since there are 3 characters (elf, hobbit, or human) and 5 defense tools (magic, sword, shield, slingshot, or umbrella) to pick from, if I randomly choose my character and tool, to determine what is the probability that I'll be a magic elf, the following calculation must be performed:

1/3 x 1/5 = X

0.3333 x 0.2 = X

0.0666 = X

0.0666 = 6.66%

Therefore, the probability that I pick a magic elf is 6.66%.

Answer:

Total bill will be BD 33.600

Step-by-step explanation:

28 multiplied by 20% = 5.6

Add 5.60 to the cost

28.00 + 5.60 = 33.600

hope this helps and is right. p.s. i really need brainliest :)

Step-by-step explanation:

Yes it is a function dearest

Answer:

a, b, c are all perfect square trinomials

Step-by-step explanation:

a)  (x+3)²

b) (w²-2)²

c) (xy-1)²

Answer:

Y = 10

Explanation:

We know that the left and top angles are 45°, the base is 10, and the bottom right angle is 90°, or a right angle. The simplest way I can explain this is the bottom side of the triangle is the same as the right side of the triangle. Meaning "y" would be 10 like the bottom.

If I'm right, I'd appreciate a brainliest as it'd really help me out :D

Answer:

Step-by-step explanation:

[tex]\frac{7+5x+4+8+6}{5} = 10[/tex]

7+5x+18=50

5x+25 = 50

5x = 25

x = 5

Answer:

5

hope it helps.

Answer:

the answer is 17a

Step-by-step explanation:

I took the quiz

Answer:

Easy way is completing a square:

Correct choice is J

Answer:

36xy

Step-by-step explanation:

Answer:

point A

Step-by-step explanation:

Hope this helps you dude.

Answer:

=28x

Step-by-step explanation:

Solve within parenthesis first;

Subtract 9-2=7

=4*7x

Multiply the numbers;

4*7=28

=28x

Answer:

[tex]V=209\ cm^3[/tex]

Step-by-step explanation:

The height of this cone, h = 8 cm

The radius of this cone, r = 5 cm

We need to find the volume of this cone. The formula for the volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]

Put all the values,

[tex]V=\dfrac{1}{3}\times 3.14\times 5^2 \times 8\\\\=209.33\approx 209\ cm^3[/tex]

So, the volume of this cone is equal to [tex]209\ cm^3[/tex].

Answer:

2/3

Step-by-step explanation:

Total marbles:

4 + 3 + 2 = 9

Non-white marbles:

4 + 2 = 6

Probability of not drawing a white marble:

6/9

2/3

Answer:

6/9

Step-by-step explanation:

n=numerator

d=denominator

b=blue

p=pink

w=white

m=marbles

What we know:

4 bm

2pm

3 wm

what we need to know:

we need to know the denominator (all the numbers added up) and the numerator (the marbles that aren't white marbles).

work:

n= 4+2=6

d= 4+3+2=9

so it is 6/9

Can I please have Brainliest?

Answer:

23ft

Step-by-step explanation:

Answer:

18.76%

Step-by-step explanation:

effective interest rate = ( 1 + periodic interest rate)^m - 1

m = number of compounding = 365

Periodic interest rate = APR / number of compounding = 17.2 / 365 = 0.0471% = 0.000471

(1 + 0.000471) ^365 - 1 = 18.76%

Answer:

3x² + 3x³ - x + 8

Step-by-step explanation:

All we have to do is add the terms together

(open parentheses as well)

3x² - 8x + 2 + 3x³ +7x +6

now, simplify

3x²+3x³-x+8

Answer: 49

Step-by-step explanation: A coefficient is the number placed in front of the variable, meaning n is the unknown number, aka variable. Making 49 the coefficient to that variable.

Hope this helps ^^

Answer:

49

Step-by-step explanation:

A coefficient is the numerical or constant quantity placed before or multiplied by a variable.

Answer:

Step-by-step explanation:

Q9) Surface Area of a cylinder

= 2πr(r + h)

Diameter = 12cm , Radius = Diameter/2 = 12 cm/2

r = radius = 6cm

h = height = 10 cm

Surface area = 2 × π × 6(6 + 10)

= 603.18579 cm²

Approximately = 603.2 cm²

Q11) Volume of a rectangular prism

Length × Width × Height

Length = 6.5cm

Width = 8.5 cm

Height = 4 cm

Volume = 6.5 cm × 8.5 cm × 4 cm

Volume = 221 cm³

Q12) Volume of the cylinder = πr²h

r = radius = 1.7m

h = height = 9 m

Volume = π × 1.7 × 9

= 81.71 m³

Approximately = 81.7 m³

Q13) Volume of the cylinder = πr²h

Diameter = 0.8m, Radius = Diameter/2 = 0.8m/2

r = radius = 0.4m

h = height = 1.5 m

Volume = π × 0.4 × 1.5

= 0.75 m²

Approximately = 0.8 m³

Answer:

7 : 12

Step-by-step explanation:

35 : 60 cuz 60 mins is an  hour

7 : 12

Answer:

H.

Step-by-step explanation:

F is incorrect because you don't know how many service calls a person will make. G is incorrect for the same reason, but with texts. J is incorrect because 8 skirts per hour is making the graph unproportioned.

Answer:

H

Step-by-step explanation:

A bakery makes 6 loaves of bread every 1/2 hour or 12 loaves every hour.

Answer:

V = 336 ft3

Step-by-step explanation:

1/2*7*16*6

336

Answer: 336 ft cubed

Step-by-step explanation:

Formula is 1/2 times B times L times H so, 7 times 6 is 42, 42 times 16 is 672 and 672 divided by 2 or multiplied by 1/2 is 336

Answer:

-2

Step-by-step explanation:

y=-2x+5

y=mx+b where m=slope and b=y-intercept

Answer:

The rate is 609 kilometers per 7 hours.

The unit rate is 609/7 = 87 kilometers per hour.

Step-by-step explanation:

Should be right

Answer:

87 Kilometers per hour    and if by unit rate you mean how many miles they are doing a miniute then it is 1.45 kilometers per hour

Step-by-step explanation:

Answer:

the answer is $2,600 I belive so