Step 2: Construct regular polygons inscribed in a circle.
B) The completed construction of a regular hexagon is shown below. Explain why △ACF is 30°-60°-90° triangle. (10 points)

Answer:  C

Step-by-step explanation:

400 multiply by 2 equals 800

and then 800 subtracted by 400 will be 400

and 400 subtracted by 1 will be 399.

Therefore, answer is C

Answer:

S=48-13

Step-by-step explanation:

because s is the amount of time he spent then you need to subtract the time spent shopping (48) by the time he spent in the line (13)to get s wich is 35

Answer:

35

Step-by-step explanation:

48 is the total amount.

48-13 (cuz he spent that much time in line)

48-13 = 35

s=35

Answer:

It's of science not of mathematics

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{10 \: N}}}}}\)

Step-by-step explanation:

Given,

Load distance ( LD ) = 2m

Load ( L ) = 800 N

Effort distance ( ED ) = 160 m

Effort ( E ) = ?

Finding the Effort applied

Apply the principal of simple machine :

\( \boxed{ \sf{L \times LD = E\times ED}}\)

\( \longrightarrow{ \sf{800 \times 2 = E \times 160}}\)

\( \longrightarrow{ \sf{1600 = 160 \: E}}\)

\( \longrightarrow{ \sf{160E = 1600}}\)

\( \longrightarrow{ \sf{ \frac{160E}{160} = \frac{1600}{160} }}\)

\( \longrightarrow{ \sf{E = 10 \: \: newton}}\)

Effort applied = 10 N

Hope I helped!

Best regards! :D

Answer:

( D) Memory

Step-by-step explanation:

The face value of the non-interest-bearing note for the woman's loan should be approximately $500.26. The face value of the non-interest-bearing note for the man's loan should be approximately $2417.91.

To find the face value of a non-interest-bearing note, we can use the formula:

Face Value = Proceeds / (1 - Discount Rate * (Days to Maturity / 360))

1. Calculation for the woman's loan:

Proceeds = $485

Discount Rate = 13.22%

Days to Maturity = 80 (from April 10 to June 29)

Face Value = $485 / (1 - 0.1322 * (80 / 360))

Face Value = $485 / (1 - 0.1322 * 0.2222)

Face Value = $485 / (1 - 0.0294)

Face Value = $485 / 0.9706

Face Value = $500.26 (approximately)

Therefore, the face value of the non-interest-bearing note for the woman's loan should be approximately $500.26.

2. Calculation for the man's loan:

Amount needed = $2350

Discount Rate = 14.4%

Days to Maturity = 70 (from July 10 to September 18)

Face Value = $2350 / (1 - 0.144 * (70 / 360))

Face Value = $2350 / (1 - 0.144 * 0.1944)

Face Value = $2350 / (1 - 0.0279)

Face Value = $2350 / 0.9721

Face Value = $2417.91 (approximately)

Therefore, the face value of the non-interest-bearing note for the man's loan should be approximately $2417.91.

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Answer:

\( - 4x - 8\)

Step-by-step explanation:

\( - 4(x + 2) = - 4x - 8\)

Hope this helps ;) ❤❤❤

Answer: It's -4x- 8

Step-by-step explanation: Hope it hepls.

Step-by-step explanation:

We can use long division to divide the polynomial (4x³ - 6x² - 4x + 8) by the binomial (2x - 1).

2x² + 2x - 4

2x - 1 | 4x³ - 6x² - 4x + 8

- (4x³ - 2x²)

---------------

-4x² - 4x

+ ( -4x² + 2x )

--------------

-2x + 8

- (-2x + 1)

----------

7

Therefore, the quotient is 2x² + 2x - 4, and the remainder is 7.

The equation of the line through \((1,2)\) which make equal intercepts on the axis \(x+y=3\)

The equation of the line through (1,2) makes an equal intercept on the axis

The formula of the intercept form is

\(\frac{x}{a} +\frac{y}{b} =1\)

If they make an equal intercept

\(a=b\\\frac{x}{a} +\frac{y}{a} =1\\x+y=a\)

Put the value of the point in the axis, and we get.

\(1+2=a\\a=3\)

Put the value in the equation, and we get.

\(x+y=3\)

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The statement cross-tabulation with two variables is known as twice-tabulation is false because there is no such term as "twice-tabulation" in the context of statistical analysis.

Cross-tabulation, also known as contingency table analysis, involves the analysis of categorical variables by creating a table that shows the frequency or distribution of one variable based on the levels of another variable.

It allows for the examination of the relationship between two variables, highlighting any associations or patterns that may exist. Each cell in the cross-tabulation table represents the count or proportion of observations that fall into specific combinations of categories from the two variables.

The term "twice-tabulation" does not exist in statistical literature and is not commonly used to refer to cross-tabulation with two variables. The correct term to describe this statistical technique is simply cross-tabulation or contingency table analysis.

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Answer:  x > -8

Step-by-step explanation:

3x - 17 < 4x -  9   subtract 3x from both sides, and add 9 to both sides

-3x + 9 < -3x + 9

0  - 8   <  x  +  0      Rewrite and reverse the sign to simplify

     x > -8

Answer:

x = 15°

Step-by-step explanation:

the inscribed angle APB is half the measure of the central angle AOB , so

x = \(\frac{1}{2}\) × 30° = 15°

The correct answer is option  A: The random variable is discrete. A decibel is a unit of measure used to quantify the loudness or intensity of sound.

From 0 dB (the quietest level of sound) to 140 dB (the loudest level of sound), it is measured on a logarithmic scale (the highest level of sound).

The decibel level of a siren is normally between 110 and 120 dB, which is regarded to be within or close to the threshold of human hearing.

The decibel level of a siren is measured on a logarithmic scale, making it a discrete variable. This indicates that it is measured in whole numbers rather than fractions of a decibel.

For instance, a siren's decibel level can be 110 dB, 111 dB, 112 dB, etc., but it cannot be 110.5 dB or 111.5 dB. Therefore, the decibel level of a siren is a discrete variable.

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Answer:

Explanation:

To find the value of x that makes the sentence true, we first subtract 4 form both sides to get

multiplying both sides by 3 gives

Finally, dividing both sides by 2 gives

which is our answer!

Hence, the value of 9/2 for x makes the statement true.

Answer:

86

Step-by-step explanation:

2[2+(2x2x2x2x2]                                                                                                                                                                                                                                

2(2 + 32)

2(43)

86

The surface area of the right prism with right triangular bases and height of 15 inches is bh + 15(a + b + c).

It can be found by adding the area of the two triangular bases and the area of the three rectangular faces:

Surface area = 2(Area of base triangle) + (Perimeter of base triangle x height of prism)

To find the area of the base triangle, we can use the formula A = 1/2bh, where b is the base of the triangle and h is its height. The perimeter of the triangle is simply the sum of its three sides.

So, if we let the base of the triangle be b, and the height of the triangle be h, then the area of the base triangle is A = 1/2bh. The perimeter of the triangle is P = a + b + c, where a, b, and c are the lengths of its sides.

Thus, the surface area of the prism is given by:

Surface area = 2(1/2bh) + (a + b + c) x 15

Simplifying the expression gives us the final answer:

Surface area = bh + 15(a + b + c)

Therefore, the surface area of the right prism with right triangular bases and height of 15 inches is bh + 15(a + b + c).

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Answer:

B,C

Step-by-step explanation:

B and C work.

A and D do not work.

Answer:

54% of 74 is 39.96.

Step-by-step explanation:

divide 74 by 100, then multiply the answer by 54.

Answer:

40, 80, 120

Step-by-step explanation:

0, 40, 80, 120, 160, 200

+40

Answer:

0, 40, 80, 120, 160, 200

Step-by-step explanation:

The numbers are decreasing by 40. 200-160=40. Therefore, we need to subtract 40 each time from every number we get.

160-40=120

120-40=80

80-40=40

Now, plug the numbers into the sequence. It should now look like this:

0, 40, 80, 120, 160, 200

I hope this helps you out!! Have a great day, and if you need any more help, let me know (✿◠‿◠)

You shouldn't need a calculator for this. The quadratic equation is written in standard form.

ax^2 + bx + c = 0

You substitute a, b, and c into the discriminant formula and solve as shown in the example in the picture you provided.

(-7)^2 - 4(2)(-8)

49 - 4(-16)

49 - (-64)

49 + 64

113

Best of Luck!

1. Price constraint: Pc = $8

2. when Pc = $8, C ≈ 10.22, and S ≈ 40.88.

Price constraint: Pc = $9

3. when Pc = $9, C = 9.2, and S = 36.8.

Price constraint: Pc = $2

4. When Pc = $2, C ≈ 30.67, and S ≈ 122.68.

To graph Susan's consumption curve and budget constraints, we'll use the given information:

The price of a cup of coffee is denoted as Pc = $8.

The price of a spoonful of sugar is denoted as Ps = $0.25.

Susan's budget for coffee and sugar combined is $92.

Let's start by plotting the consumption curve for prices re = Sl, rc = 32, and rc = So. We'll calculate the number of cups of coffee (C) and the number of spoonfuls of sugar (S) corresponding to each price point.

Price constraint: Pc = $8

Since Susan spends exactly four spoonfuls of sugar (S) for each cup of coffee (C), we can express S in terms of C: S = 4C.

Using the budget constraint equation, we have: 8C + 0.25S = 92.

Substituting S = 4C into the equation: 8C + 0.25(4C) = 92.

Simplifying the equation: 8C + C = 92.

Combining like terms: 9C = 92.

Solving for C: C = 92 / 9, approximately 10.22.

Therefore, when Pc = $8, C ≈ 10.22, and S ≈ 40.88.

Price constraint: Pc = $9

Using the same approach, we substitute the new price into the equation.

9C + 0.25(4C) = 92.

Simplifying the equation: 9C + C = 92.

Combining like terms: 10C = 92.

Solving for C: C = 92 / 10, which is exactly 9.2.

Therefore, when Pc = $9, C = 9.2, and S = 36.8.

Price constraint: Pc = $2

Applying the same method:

2C + 0.25(4C) = 92.

Simplifying the equation: 2C + C = 92.

Combining like terms: 3C = 92.

Solving for C: C = 92 / 3, approximately 30.67.

Therefore, when Pc = $2, C ≈ 30.67, and S ≈ 122.68.

Now, we can plot these points on a graph with the number of cups of coffee (C) on the horizontal axis and the number of spoonfuls of sugar (S) on the vertical axis:

Consumption curve: Connect the three plotted points (10.22, 40.88), (9.2, 36.8), and (30.67, 122.68).

Budget constraint for Pc = $8: Plot the point (10.22, 40.88) and draw a straight line from the origin to that point.

Budget constraint for Pc = $9: Plot the point (9.2, 36.8) and draw a line from the origin to that point.

Budget constraint for Pc = $2: Plot the point (30.67, 122.68) and draw a line from the origin to that point.

Make sure to label the axes and the curves accurately.

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Answer:

6

Step-by-step explanation:

60 = 12+8 divided 2 times height

60 = 20/2 x H

60 = 10 x H

60/10 = h

6 = H

Answer:

44

Step-by-step explanation:

5*2=10-50=40+4=44

Answer: D the chef answers the inequality incorrectly and makes a mistake between the Given and Step 1

Answer:

D) the chef answers the inequality incorrectly and makes a mistake between the Given and Step 1

Step-by-step explanation:

You can't add two numbers when one has a variable

7h + 45 > 143

7h > 98

h > 14

this would be the correct form

Answer:

Supplementary.

Step-by-step explanation:

Adding ∠ADW and ∠YDW together add up to 180° making the angles supplementary.

The mass of Stewart's favorite frying pan in grams is 520 grams.

To convert the mass of Stewart's favorite frying pan from kilograms to grams, you simply need to multiply the mass in kilograms by 1000, since there are 1000 grams in 1 kilogram. In this case, the mass of the frying pan is 0.52 kilograms. To find the mass in grams, you can perform the following calculation:
0.52 kg × 1000 g/kg = 520 g
So, the mass of Stewart's favorite frying pan in grams is 520 grams.

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The company needs to adjust the bottling procedures since p < α i.e., 0.0117 < 0.10. Using z-score test statistics, the required value is obtained.

The mean of a dataset is the sum of all values divided by the total number of values. It's the most commonly used measure of central tendency and is often referred to as the “average.”

Deviation is a measure of difference between the observed value of a variable and some other value, often that variable's mean.

How to calculate the z-score?

The z-score is calculated by

z = ( - μ)/(σ/√n)

Where :- sample mean; μ - population mean; σ - standard deviation; n - sample size.

It is given that,

Population mean μ = 12 oz

Sample size n = 40

Sample mean  = 12.2 oz

Standard deviation σ = 0.7 oz

Constructing the test hypothesis as below:

H0: μ = 12 oz

Ha: μ < 12 oz (as close as possible)

Then, the z-score is

z = (12.2 - 12)/(0.7/√40)

 = 0.2/0.1106

 = 1.808

Thus, the required p-value for the obtained test score is p = 0.0117 from the distribution table.

Since p(0.0117) < 0.10(significance level), the null hypothesis is rejected.

Therefore, the company needs to adjust the bottling procedures since the mean volume of all beverages differs from 12 oz.

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The total number of tosses is 12 + 6 = 18.

The experimental probability of getting heads is the number of times we got heads divided by the total number of tosses:

P(heads) = number of heads / total number of tosses

= 12 / 18

= 2 / 3

Therefore, the probability of getting heads is 2/3 or 0.6667 as a decimal.

Similarly, the experimental probability of getting tails is:

P(tails) = number of tails / total number of tosses

= 6 / 18

= 1 / 3

Therefore, the probability of getting tails is 1/3 or 0.3333 as a decimal.