Jim's bill at the restaurant was $52.28. He left a tip 20%. what was the tip amount (nearest penny) and what was the total bill (nearest penny)?

Answer:

Option E

Step-by-step explanation:

Central angles of a regular polygon = [tex]\frac{360}{n}[/tex]

Here, n = Number of sides of the regular polygon

Therefore, central angle of the regular polygon = [tex]\frac{360}{8}[/tex] = 45°

From the picture attached,

m∠AOB = [tex]\frac{45}{2}[/tex] = 22.5°

By tangent rule,

tan(∠AOB) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(22.5°) = [tex]\frac{AB}{OB}[/tex]

AB = OB[tan(22.5°)]

AB = 5(0.414213)

     = 2.07 in

Therefore, area of ΔAOC = 2 × (Area of ΔABO)

                                          = [tex]2(\frac{1}{2})(\text{Base})(\text{Height})[/tex]

                                          = AB × OB

                                          = 2.07 × 5

                                          = 10.35 in²

Since, area of the given regular octagon = 8 × (Area of ΔAOC)

                                                                    = 8(10.35)

                                                                    = 82.5 in²

Therefore, Option (E) is the answer.

Answer:

9

Step-by-step explanation:

42 / 7 = 6

48 / 8 = 6

54 / 6 = 9

Answer:

the answer is 9

Step-by-step explanation:

the number are being multipled by 6

Answer:

Third Option ∠XYW ≅∠ZYW

Step-by-step explanation:

Line bisector cuts an angle in half.

Answer:

11/20

Step-by-step explanation:

16/20 - 1/4

rewrite 1/4 with same denominator (multiply by 5)

16/20 - 5/20 = 11/20

Answer:

8

Step-by-step explanation:

The factored form of the given expression is 8(4x+7).

GCF stands for Greatest Common Factor, it is the highest common factor of each of the term in the expression.

Express each term of the given expression in the form of factors.

32x+56=8·4·x+8·7

From both terms, the highest common factor, that is, GCF is 8.

Factor out 8 from the terms.

8(4·x+7)=8(4x+7)

Thus, the factored form of the given expression is 8(4x+7).

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[tex] \frac{20}{100} (100x) = \frac{80}{x} (100x) \\ \frac{20}{ \cancel{100}}( \cancel{100} \: \: x) = \frac{80}{ \cancel{x}} (100 \cancel{x}) \\ 20x = 80(100) \\ 20x = 8000[/tex]

[tex]x = \frac{8000}{20} \longrightarrow \frac{800 \cancel{0}}{2 \cancel{0}} \\ x = \frac{800}{2} \longrightarrow \frac{ \cancel{800} \: \: 400}{ \cancel{2} \: \: 1} \\ x = 400[/tex]

Substitute x = 400 in the equation.

[tex] \frac{20}{100} = \frac{80}{400} \\ \frac{ \cancel{20} \: \: \: 1}{ \cancel{100} \: \: \: 5} = \frac{ \cancel{80} \: \: \: 1}{ \cancel{400} \: \: \: 5} \\ \frac{1}{5} = \frac{1}{5} [/tex]

The equation is true for x = 400. Therefore the answer for equation is x = 400.

[tex] \large\boxed{x = 400}[/tex]

Answer: 400

Explain: Just do 80/20 and get 4 then do 100 times 4

回答：400

説明：80/20を実行して4を取得し、次に100回4を実行します

Step-by-step explanation:

Consider the given expression,

Let,

x=

6+

6+

6+

6..........∞

Now,

x=

6+x

x

2

=6+x

x

2

−x−6=0

x

2

−3x+2x−6=0

x(x−3)+2(x−3)=0

(x−3)(x+2)=0

x=3or−2

Hence,this is the answer.

Answer:

2/3

Step-by-step explanation:

rise 4 run 6 simplifies to 2/3

Answer: B. >=

Step-by-step explanation: Sorry if I'm late, but here's proof. If you see that both the lines intersect and split ways at -6 x-int on the graphing calculator, its the same graph. So the answer would be >=.

:)

The system of inequality is solved and 3 ≤ x ≤ 5

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

y ≤ (7/4)x + (17/2) (left circle)

y ≥ (7/4)x + (17/2) (right circle)

So, we can write the system of inequalities algebraically as:

3 ≤ x ≤ 5

(7/4)x + (17/2) ≤ y ≤ (7/4)x + (17/2)

The correct symbol to write in both circles in order to represent this system algebraically is "≤" (less than or equal to)

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Answer:

14x-4w+14y

Step-by-step explanation:

9x+5x-8w+4w+9y+5y

=14x-4w+14y

Answer:

3(2) + 15= 21; 3(3) +15= 24; 3(5) + 15= 30

Step-by-step explanation:

just plug in your x values and then solve

Answer:

-8,-6

Step-by-step explanation:

The completed table for y = 2x - 4 is ( - 2, 0), (- 1, - 6), and (0, -4)

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function y = 2x - 4.

Now at x = - 2 we'll simply put the numerical value of x in y.

y = 2(2) - 4.

y = 4 - 4.

y = 0.

( - 2, 0).

At x = - 1.

y = 2(-1) - 4.

y = - 2 - 4.

y = - 6.

(- 1, - 6).

At x = 0.

y = 2(0) - 4.

y = 0 -4.

y = -4.

(0, -4)

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Answer:

13

Step-by-step explanation:

I used the calculator heheh

Hope It Helps

Using the two points given, we can plug them into  m = (y2 -- y1) / (x2 -- x1)

(-2,4)  (3,-2)

-2-4/ 3--2 = -6/5

Therefore the slope of the line would be [tex]-\frac{6}{5}[/tex]

or D

Answer:

180 feet tall

Step-by-step explanation:

36 divided by 9.8 = 3.673469388

3.673469388 x 49 = 180 ft

Answer:

False

Step-by-step explanation:

Answer:True

Steby-step explanation:

Answer:

It is impossible for us to answer that question as we weren't provided with a text to analyze.

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

To solve this we will use the equation

Distance= Velocity * Time

We will first need to calculate the time flown

So we have

960=480*time

Divide and get time=2

We now need to find the new velocity considering wind speed and we can do this by writing a new equation

We have

640=velocity*2

divide and get that velocity=320

This is the speed that the plane was going with the wind resistane which means that to calculate the wind resistance you subtract 320 from the plane's normal speed of 480

so 480-320=160

Answer:

14 ft

Step-by-step explanation:

116 divided by 12 because there are twelve inches in a foot

Answer: h(35) = 43

Step-by-step explanation: The question is asking you to solve the equation if t = 35:

h(t) = 50 - t/5

h(35) = 50 - 35/5 <— I substituted 35 in for t.

h(35) = 50 - 7

h(35) = 43

Answer:

The answer is 43

Step-by-step explanation:

[tex]h(t) = 50 - \frac{t}{5}[/tex]

[tex]h(35) = 50 - \frac{35}{5}[/tex]

[tex]h(35) = 50 - 7[/tex]

[tex]h(35)=43[/tex]

Answer:

An equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:

[tex]y-1=\frac{1}{4}\left(x+4\right)[/tex]

Step-by-step explanation:

Given the points

Finding the slope between the points (-4,1) and (4,3)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-4,\:1\right),\:\left(x_2,\:y_2\right)=\left(4,\:3\right)[/tex]

[tex]m=\frac{3-1}{4-\left(-4\right)}[/tex]

Refine

[tex]m=\frac{1}{4}[/tex]

Point slope form:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

in our case,

substituting the values m = 1/4 and the point (-4,1) in the point slope form of line equation.

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-1=\frac{1}{4}\left(x-\left(-4\right)\right)[/tex]

[tex]y-1=\frac{1}{4}\left(x+4\right)[/tex]

Thus, an equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:

[tex]y-1=\frac{1}{4}\left(x+4\right)[/tex]