Question 2 (6 points)
Jerry bought a slice of cake with a central angle of 60 degrees where the radius of the cake was
8 centimeters. What is the surface area of Jerry's slice of cake?
To get full credit:
1. Make a sketch of the situation including the central angle and radius (2 points)
2. Calculate the area of the slice of cake (3 points)
3. Leave answers in terms of T. (1 point)

Answer:

A: 1/8 for the first one    B:7/8

Step-by-step explanation:

1 is shaded and 7 are not

Answer:

7/3

Step-by-step explanation:

5/3 + 3/4 *8/9

First multiply

I like to rewrite to simplify

5/3 + (3/9 *8/4)

5/3 + (1/3 * 2/1)

5/3 + 2/3

Add ( they have like denominator)

7/3

Answer:

x = 3

Step-by-step explanation:

4x + 4 = 16

4x = 16 - 4

4x = 12|:4

x = 3

Answer:

4x+4=16

4x=16-4

4x=12

x=3

Answer:

A and C (they are same equation)

x^2-4=0

x^2=4

x can be 2 and -2

2^2=4

-2^2=4

Step-by-step explanation:

prove

b.

x-4=0

X=4 (one solution)

d.

x+4=0

X=-4 (one solution)

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ᵗᵒᶠᵘ ˡᵒᵍᵍᶦⁿᵍ ᵒⁿ…

⊹˚ʚ ❑Answer: B.centimeters!

      ✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D

ᵗᵒᶠᵘ ˡᵒᵍᵍⁱⁿᵍ ᵒᶠᶠ...

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Answer:

b

Step-by-step explanation:

The measurement instrument needed to measure this is your ruler and it is calibrated in centimeters

Answer:

63.5°

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\angle XYZ=\frac{1}{2} \times m\widehat {XZ} [/tex]

[tex] \therefore m\angle XYZ=\frac{1}{2} \times 127\degree [/tex]

[tex] \therefore m\angle XYZ=63.5\degree [/tex]

Answer:

I think it's A because 98÷14=7, 63÷9=7, 14÷2=7

Step-by-step explanation:

And all of those can be divided they even get the same numbers when you divide them which is 7.

Answer:

Use Simple Interest Formula=PrT/100

SI=$1800×5×6/12÷100

=4500/100

=$45

Step-by-step explanation:

$45 is the interest that's gonna be owed after 6months so therefore the total $ she owed after 6 months would be: $45 + $1,800=$1,845.

Answer:

57.11 m

Step-by-step explanation:

The formula for the volume of a cylinder of radius r and length h is

V = πr²h.  We want to solve this formula for d, the diameter of the cylinder.  

Start by solving the equation V = πr²h for r²:  divide both sides by πh.

                    V

Then r² = -------------

                  πh

                                                                                  51207 m³

Substituting 20  for h and 3.14 for π, we get r² = ------------------   or:

                                                                                   3.14(20 m)

r² = 815.40 m²

Find the radius by taking the square root of both sides of the previous result:

r = 28.56 m

The diameter is twice the radius, and therefore the diameter here

is d = 2(28.56) m = 57.11 m

Answer: X > 3

Step-by-step explanation:

You want to subtract 14 on both sides and you will get -3x < -9. Then you divide -3 on both sides -3x/3  > -9/-3 and you should end up with x < 3. Since you divided by the negative number you switch the sign from ">" to "<"

Hope this helps and sorry if it did not.

Answer:

Solution given:

volume of pyramid =⅓area of base×height

=⅓*1*1*1=⅓=0.33yd³

the volume of the pyramid

0.33yd³

Algebra

Make an equation to make the equation equal 12.

[tex]2x - 13 + x + 4 = 12[/tex]

Combine Like-Terms.

Make an equation.

[tex]3x - 9 = 12[/tex]

Add nine to both sides.

[tex]3x = 21[/tex]

Divide both sides by three.

[tex]x = 7[/tex]

Answer:

b^(m-n)

Step-by-step explanation:

Answer:b^m+n

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

The numbers on a die are 1,2,3,4,5,6

The numbers that are not prime 4,6

P( not prime) = number of numbers that are not prime/ total

                      =2/6  =1/3

Answer:

67.3 degrees

Step-by-step explanation:

Use tan ^-1

tan^-1 (55/23) = 67.3

Answer:

y = 3 + 12x - - - (1)

y = 9 + 10x - - - (2)

3 albums

$39

Step-by-step explanation:

Let number of download = x

Given :

I-moon :

Initial joining fee = $3

Cost per download = $12

Hence,

y = 3 + 12x - - - (1)

I - Toons :

Initial joining fee = $9

Cost per download = $10

y = 9 + 10x - - - (2)

For cost to be the same ;

Equate (1) and (2)

3 + 12x = 9 + 10x

Collect like terms

3 - 9 = 10x - 12x

-6 = - 2x

x = 3

It will take 3 albums

Cost :

3 + 12(3)

3 + 36 = 39

Answer:

yes..

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

8x-2(x - 5) = x + 25

Distribute

8x -2x+10 = x+25

Combine like terms

6x +10 = x+25

Subtract x from each side

6x-x +10 = x+25-x

5x +10 = 25

Subtract 10 from each side

5x-10+10 =25-10

5x= 15

Divide each side by 5

5x/5 =15/5

x=3

Answer:

A. x = 3

Step-by-step explanation:

8x- 2(x - 5) = x + 25

Using distributive property

8 x - 2 x - 10 = x + 25

combine like terms

6 x - 10 = x + 25

subtract both side from x

6 x - x - 10 = x - x + 25

5 x - 10 = 25

Add 10 to both side

5 x - 10 + 10 = 25 - 10

5 x = 15

Divide both side by 5

5 x / 5 = 15 / 5

x = 3

The required watch showed the correct time at midnight (or 00:00) on the same day.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.

Let's call the time when the watch showed the correct time "x". We can start by calculating how much time it gained between 8:00 and 16:00:

The watch gained (6 - (-4)) = 10 minutes over a period of 8 hours (from 8:00 to 16:00), so its rate of gain is:

10 minutes / 8 hours = 1.25 minutes per hour

Now, we can set up an equation to solve for x:

x - 8:00 = (x - 16:00) × 1.25

Simplifying this equation, we get:

x - 8:00 = 1.25x - 20

0.25x = 12

x = 48:00 or 00:00 (midnight)

So the watch showed the correct time at midnight (or 00:00) on the same day.

Learn more about simplification here:

https://brainly.com/question/12501526

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Answer:

Samantha has 8 quarts of milk.  The ratio of quarts to gallons is 4:1. How many gallons of milk does Samantha have?   x  a. 1 over 32   x  b. begin mathsize 16px style 1 half end style   x  c. 2   x  d. 32

Step-by-step explanation:Samantha has 8 quarts of milk.  The ratio of quarts to gallons is 4:1. How many gallons of milk does Samantha have?   x  a. 1 over 32   x  b. begin mathsize 16px style 1 half end style   x  c. 2   x  d. 32Samantha has 8 quarts of milk.  The ratio of quarts to gallons is 4:1. How many gallons of milk does Samantha have?   x  a. 1 over 32   x  b. begin mathsize 16px style 1 half end style   x  c. 2   x  d. 32Samantha has 8 quarts of milk.  The ratio of quarts to gallons is 4:1. How many gallons of milk does Samantha have?   x  a. 1 over 32   x  b. begin mathsize 16px style 1 half end style   x  c. 2   x  d. 32

Answer:

A

Step-by-step explanation:

Got it right on Edge.

Hope this helps, and please mark me the Brainliest!

Answer:

615.75

Step-by-step explanation:

A=4 times pi times r squared

4 times pi times 49 = 615.752160104

Round it to 615.75

Answer:

Step-by-step explanation:

Given:

The function is:

[tex]f(x)=\sin x[/tex]

The function f(x) is multiplied by a factor of 2 and then 3 is added to the function.

To find:

The effect on the graph of the function.

Solution:

The transformation is defined as

[tex]g(x)=kf(x)+b[/tex]                .... (i)

Where, k is stretch factor and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.  

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

It is given that the function f(x) is multiplied by a factor of 2 and then 3 is added to the function. So, the new function is:

[tex]g(x)=2f(x)+3[/tex]             ...(ii)

On comparing (i) and (ii), we get

[tex]k=2[/tex], it means the graph is vertically stretched by a factor of 2.

[tex]b=3[/tex], it means the graph is shifted up 3 units.

Therefore, the correct option is D.

Answer:

D.) The graph is vertically stretched by a factor of 2 and shifted up 3 units

Step-by-step explanation:

best of luck to you all~! You are the best <3

Step-by-step explanation:

3×‐9×-5y-2y =0-7

-6x-7y =-7

Answer:

[tex]x = \frac{9}{13} \ , \ y = - \frac{5}{13}[/tex]

Step-by-step explanation:

                         3x - 5y = 4 ----------- ( 1 )

                         9x - 2y = 7 -----------( 2 )

                 ______________________

( 1 ) x 9  =>       27x - 45y = 36   ----------------- ( 3 )

( 2) x 3 =>        27x - 6y = 21     -------------------( 4 )

                  _____________________

( 3 )  =>          27x - 45y = 36

- ( 4 ) =>         -27x + 6y = - 21

                   ____________________

( 3 ) - ( 4 ) =>     0x - 39y = 15

                            -39y = 15

                                [tex]y = \frac{15}{-39} = -\frac{5}{13}[/tex]

Substitute y in ( 1 ) :

                     [tex]3x - 5y = 4\\\\3x - ( 5 \times -\frac{5}{13}) = 4\\\\3x + \frac{25}{13} = 4\\\\3x = 4 - \frac{25}{13}\\\\3x = \frac{52 - 25}{13}\\\\3x = \frac{27}{13}\\\\x = \frac{27}{13 \times 3}\\\\x= \frac{9}{13}[/tex]                        

Answer:

(- 6, 8 )

Step-by-step explanation:

Given the 2 equations

y = - [tex]\frac{1}{3}[/tex] x + 6 → (1)

x = - 6 → (2)

Substitute x = - 6 into (1) and evaluate for y

y = - [tex]\frac{1}{3}[/tex] × - 6 + 6 = 2 + 6 = 8

solution is (- 6, 8 )

Answer: [tex]15.3\ \text{units}[/tex]

Step-by-step explanation:

Given

Coordinates of the corners are D(-2,-1), E(3,2), and F(0,4)

Length DE is

[tex]\Rightarrow DE=\sqrt{(2+1)^2+(3+2)^2}\\\Rightarrow DE=\sqrt{(3)^2+(5)^2}\\\Rightarrow DE=\sqrt{34}\ \text{units}[/tex]

Length EF is

[tex]\Rightarrow EF=\sqrt{(4-2)^2+(0-3)^2}\\\Rightarrow EF=\sqrt{(2)^2+(-3)^2}\\\Rightarrow EF=\sqrt{13}\ \text{units}[/tex]

Length FD is

[tex]\Rightarrow FD=\sqrt{(4+1)^2+(0+2)^2}\\\Rightarrow FD=\sqrt{(5)^2+(2)^2}\\\Rightarrow FD=\sqrt{29}\ \text{units}[/tex]

Perimeter of the triangle is

[tex]\Rightarrow DE+EF+FD=\sqrt{34}+\sqrt{17}+\sqrt{29}\\\Rightarrow DE+EF+FD=15.3\ \text{units}[/tex]

9514 1404 393

Answer:

  C.  6x² +20x +30

Step-by-step explanation:

The perimeter of a rectangle is given by the formula ...

  P = 2(L +W)

Substituting the given length and width, you have ...

  P = 2((3x² +7x +9) +(3x +6))

Simplifying gives ...

  P = 2(3x² +10x +15)

  P = 6x² +20x +30

_____

Additional comment

"Standard form" has the terms in order of decreasing exponents. The expression of choice D is equivalent, but is not in standard form.