Rebecca is sharing a pizza with some friends. Below is an Image of how she cuts the pizza.
AE is a diameter of the 20 in pizza!
a) If rebecca wants the biggest piece which one would she choose ( name it by its arc)? Be careful the image may not be drawn to scale
b) Rebecca loves stuffed crust!! She decides to figure out the length of cheese in her piece of the crust ( hint find the arc length

Answer:

B)  x = 5/2

Step-by-step explanation:

subtract 3 from each side to get:

4x² - 20x + 25 = 0

this is the difference of 2 squares:

(2x -5)² = 0

one solution, x = 5/2

Answer:

B)  x = 5/2

Step-by-step explanation:

4x² - 20x + 28 = 3

Move terms to the left side

4x² - 20x + 28 - 3 = 0

Subtract the numbers

4x² - 20x + 25 = 0

Use the quadratic formula

[tex]x =\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

4x² - 20x + 25 = 0

a = 4

b = -20

c = 25

x = [tex]\frac{-(-20)+\sqrt{(-20)^{2}-4x4x25 } }{2x4}[/tex]

Evaluate the exponent

x = [tex]\frac{20+\sqrt{400-4x4x25 } }{2x4}[/tex]

Multiply the numbers

x = [tex]\frac{20+\sqrt{400-400 } }{2x4}[/tex]

Subtract the numbers

x = [tex]\frac{20+\sqrt{0} }{2x4}[/tex]

Evaluate the square root

x = [tex]\frac{20+0 }{2x4}[/tex]

Add zero

x = 20 / 2 x 4

Multiply the numbers

x = 20 / 8

Cancel terms that are in both the numerator and denominator

x = 5/2

Answer:   (2)

Step-by-step explanation:  y=18(0.75)  0.75 as a percent is 75%, kind of like what would happen in the graph with the mathematical term Pneumonoultramicroscopicsilicovolcanoconiosis.

Answer:

100 meters!

Step-by-step explanation:

Answer:

The volume is 210 cm³

Step-by-step explanation:

The way to solve volume is LxWxH, so you would do 6x5x7 and you get 210.

Answer:

600 square feet

Step-by-step explanation:

I notice it says "Estimate" in bold. Therefore, you would round all of the measurements. They're all pretty simple to round (to the nearest tens place). From here, you subtract the length of the large room from the length of both rooms. So, 50 - 30 = 20. This is the length of the small room. We now multiply this by the width of the small room (since area of a rectangle is length * width) and we get:

20 * 30 = 600, our final answer

Hope it made sense. I would appreciate Brainliest, but no worries.

Answer:

Arithmetic Mean: 65

Geometric Mean: 25

Step-by-step explanation:

Arithmetic Mean Formula: Sum / # of values

(5 + 125) / 2

130 / 2

65

Geometric Mean Formula: √Product of the values

√(5*125)

√625

25

Answer:

8

Step-by-step explanation:

all sides are equal if its a square therefore a given length will be multiplied four times since all sides are equal

Answer:

8 in.

Step-by-step explanation:

Perimeter of square = 4l = 4 * 2 =. 8 in.

Answer:

n[tex]\geq[/tex]8

Step-by-step explanation:

You add 4 to both sides to make n the only thing on one side. Then to make the answer look better you move n to the left side and flip the symbol because n changed sides.

[tex]4\leq n-4\\ 4+4\leq n-4+4\\ 8\leq n\\ n\geq 8[/tex]

Answer:

semiannually = $1609.77

monthly = $1128.71

Step-by-step explanation:

Answer:

5x^2-19x-36

Step-by-step explanation:

(2x)(3x) + (2x)(4) - (9)(3x) - (9)(4)

5x^2 + 8x - 27x - 36

5x^2 - 19x - 36

Expression as a trinomial is  6x² -19x -36.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

An expression,

(2x – 9)(3x +4).

To express as a trinomial:

(2x – 9)(3x +4),

= 6x² -27x + 8x -36

= 6x² -19x -36

Trinomial is a quadratic function.

Therefore, as a trinomial is 6x² -19x -36.

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Answer:

2 a − 2 x + 5.5

Step-by-step explanation:

Answer:

5.5+2a_2x

Step-by-step explanation:

we add the numbers 3+2.5

Answer:

The average speed between the times given is 12 m/s

Step-by-step explanation:

Here, we want to calculate rate of change between the times given

Mathematically , we can get the average rate of change using the formula

f(b)-f(a)/b-a

in this case, b = 10 s and a = 5 s

f(b) is d(10) = 0.8(10)^2 = 80

f(a) is d(5) = 0.8(5)^2 = 20

Rate of change is thus;

(80-20)/(10-5) = 60/5 = 12 m/s

Answer:

10 units

Step-by-step explanation:

Given data

The points are

M(-5,2) and N(5,2)

x1=-5

y1= 2

x2=5

y2= 2

The expression for the distance between two points is

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((5-(-5))²+(2-2)²)

d=√10²+0²

d=√100

d=10

Hence the distance is 10 units

Answer:

Area is π(Pi) × Radius².

Soo, 3,14×5×5=78,54

I hope this is right

Answer:

EF² = FA²+ EA²

20² = 12² + FA²

400 -144 = FA²

256 =FA²

16cm = FA

Now in Δ DAG

DG² = AG² + DA²

13² = 12 ²+ DA²

169 -144 = DA²

25 = DA²

5cm = DA

Then that means diagonal DF = DA + FA

= 5 + 16

= 21cm

Step-by-step explanation:

The value of the other diagonal DF is 21.66 cm.

The square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle, according to the Pythagorean theorem.

Given:

The top two sides measure 20 cm each and the bottom two sides measure 13 cm each.

EG= 24 cm.

As, Diagonal ED divides the diagonal DF into two equal parts.

Now, Using  Pythagoras theorem in triangle DOG

x²/4 + y² = 13²= 169

and, Using  Pythagoras theorem in triangle EOD

x²/4 + (24 -y)² = 20²= 169

x²/4 + 576  -48y+ 169 - x²/4 = 400

-48y= -345

y= 7.1785

now, y²= 169 - x²/4

51. 6601 = 169 - x²/4

x/2 = 10.83

x = 21.66 cm

Thus, the other diagonal DF is 21.66 cm.

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Answer:

$21.50

Step-by-step explanation:

Answer:

Khan academy

Step-by-step explanation:

The expressions that are equivalent to sin(∠B) are option (B) length of side adjacent to ∠A/length of hypotenuse and option (D) AC/AB are the correct answers.

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a right-angled triangle and its angles.

For the given situation,

From the diagram,

The right angle is at ∠C, so opposite to that side is hypotenuse.

If we consider angle at ∠B, then the side opposite to that side is opposite side and the other side is adjacent side.

Thus, Sin∠B = [tex]\frac{oppposite}{Hypotenuse}[/tex]

⇒  Sin∠B = [tex]\frac{AC}{AB}[/tex]

From the options, now check which options is equivalent to Sin∠B,

Option (A): tan(∠A)

Now, consider the angle at ∠A,

so,   [tex]tan(\angle A)=\frac{oppposite }{adjacent}[/tex]

⇒  [tex]tan(\angle A) =\frac{CB}{AC}[/tex]

Option A is not equivalent to sin(∠B).

Option (B): length of side adjacent to ∠A/length of hypotenuse

⇒ [tex]\frac{AC}{AB}[/tex]

Option B is equivalent to sin(∠B).

Option C: sin(∠A)

[tex]Sin(\angle A)=\frac{CB}{AB}[/tex]

Option C is not equivalent to sin(∠B).

Option D: AC/AB

Option D is equivalent to sin(∠B).

Hence we can conclude that the expressions that are equivalent to sin(∠B) are option (B) length of side adjacent to ∠A/length of hypotenuse and option (D) AC/AB are the correct answers.

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Answer:

I wanna say in the year of 2018.

Step-by-step explanation:

In 2018 the population will reach 40 million.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let us consider x years later it would reach 40 million.

So, 39.1 + 0.35 x = 40

0.35x= 40- 39.1

0.35x= 0.9

x= 2.57

x= 3 years

Hence, In 2018 the population will reach 40 million.

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Answer:

[tex]745.45 mm^{2}[/tex]

Step-by-step explanation:

(semicircle) A1 = 245.45 mm

(rectangle) A2 = 312.5 mm

(triangle) A3 = 187.5 mm

Formula for semicircle = [tex]A = \frac{1}{2} \pi r^{2}[/tex]

[tex]\frac{1}{2}\pi 12.5^{2} = 78.13\pi = 245.45 mm[/tex]

Formula for rectangle = [tex]A = lw[/tex]

[tex]25 x 12.5 = 312.5 mm[/tex]

Formula for triangle = [tex]A = \frac{1}{2} bh[/tex]

[tex]\frac{1}{2} 30(12.5) = 187.50mm[/tex]

Now we add them all up to get our answer

[tex]245.45 + 312.5 + 187.5 =745.45mm^{2}[/tex]

The area of the composite figure is 741.31 mm².

The area of any object is given by the space covered by it.

Given is a composite figure having shapes, a semicircle, a triangle and rectangle,

We need to find the area of the composite figure,

So, to find the same we will find the areas of the figure and then add them,

So,

Area of a semicircle = π × radius² / 2
= 3.14 × 12.5² / 2

= 245.31 mm²

Area of a triangle = 1/2 × base × height

= 1/2 × 12.5 × 30

= 187.5 mm²

Area of a rectangle = length × width

= 12.5 × 25

= 312.5 mm²

Now, the whole area = 245.31 + 187.5 + 312.5 = 741.31 mm²

Hence the area of the composite figure is 741.31 mm².

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Answer:

x = sqrt (2), y = sqrt (2)

Step-by-step explanation:

Here is how we can approach this problem in a step by step solution:

*Also, if you knew that a 45-45-90 triangle's sides form a ratio of a, a, and sqrt (2) a, you could also use that and substitute in the values to solve. Both ways work! Hope this helps!!

Answer:

Median Range IQR

Northside players. 37 33. 17

Southside players. 37. 43. 30

Answer:

The sample space is 29........

Answer:

Due to having 24 divisors.

Step-by-step explanation:

360 has many factors which might be the reason it was chosen for the number of degrees in a full turn. There are total 24 divisors of 360 number which make it the highest factors among all numbers. All circles are divided into 360 even parts so that the Sun would move through 1 part each day. Each of these parts was describes 1 degree and this division give us the idea that a circle contains 360 degrees so we can say that this is the reason that 360 is chosen in degrees.

Answer:

0.26 per Hour

Step-by-step explanation:

0.26x2=0.52

0.26/2=0.13

0.52+0.13=0.65

0.65 is the closest to your question

Complete Question

Use a ratio box to solve this problem the ratio of new pens to used pens was 4 to 7 in all there were 242 pens, how many new pens were in the box?

Answer:

88 new pens

Step-by-step explanation:

The ratio of new pens : Old pens = 4:7

Sum of Proportion = 4 + 7 = 11

Total number of pens = 242 pens

The number of new pens is calculated as:

4/11 × 242 pens

= 88 new pens

Therefore, the number of new pens = 88 new pens

Answer:

100

Step-by-step explanation:

Answer:

J

Step-by-step explanation: