how do i do part (iii). the answer is 2 but i got the answer based on guessing. how do i do this w/o guessing? thank you.

Answer:

the answer is 10

Step-by-step explanation:

the other shape is half of all the degreed of the first one

Answer: 10

Step-by-step explanation:

AB:  3.0/2 = 1.5 = EF

BC:  5.0/2 = 2.5 = FG

CD:  4.0/2 = 2.0 = GH

DA:  8.0/2 = 4.0 = EH

1.5+2.5+2.0+4.0 = 10

A bar chart is a graph that shows the differences in frequencies or percentages among categories of a nominal or an ordinal variable.

A bar chart is a commonly used graphical representation to display the distribution of data in different categories. It is particularly useful when working with nominal or ordinal variables, where the categories are distinct and unordered or have a specific order.

In a bar chart, each category is represented by a rectangular bar whose length corresponds to the frequency or percentage associated with that category. The height of the bar represents the magnitude or count of the variable in each category, allowing for easy visual comparison between the categories.

The bars in a bar chart can be arranged horizontally or vertically, depending on the preference or nature of the data. The chart may also include labels or annotations to indicate the category names or additional information.

By examining the lengths or heights of the bars in a bar chart, it becomes easy to identify the categories with the highest or lowest frequencies or percentages, as well as to compare the relative magnitudes among the different categories. This graphical representation aids in visualizing and interpreting the distribution of a nominal or an ordinal variable effectively.

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Answer:

56.52

Step-by-step explanation:

pi×r²h

=3.14×3²2

=3.14×9×2

=3.14×18

= 56.52³

Answer:

Add 42 to itself from h to get the corresponding answer at d

42+42=84

84+42=126

126+42=168

168+42=210

Answer:

he can buy 8!

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

I don't know if this is mathematically correct ways to solve this but here's how I did it: I divided 30 by 3.50 and got 8.57... so then I just mentally concluded that he can buy 8

It is correct to say that any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment.

Any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment. What is a perpendicular bisector? A perpendicular bisector is a line that intersects a line segment and forms a 90-degree angle. It divides the line segment into two equal halves.Each point on the perpendicular bisector of a line segment is equidistant from the endpoints of the segment. This means that the distance from any point on the line to one endpoint of the segment is the same as the distance to the other endpoint of the segment.

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Answer: C

brainliest plz? ty!!

Answer:

C ez

Step-by-step explanation:

The new vertices of the triangle after the translation are A'(-3, 7), B(-2, 0), and C(1, 7), which form the resultant matrix:

|-3 -2 1 |

| 7 0 7 |

| 1 1 1 |

In mathematics, a translation refers to a geometric transformation that moves every point in a figure or a space by the same distance in a given direction. In other words, it involves sliding a figure or a point to a new location without changing its size, shape, or orientation.

To translate the triangle by a vector (x, y), we use the following transformation matrix:

|1 0 x|

|0 1 y|

|0 0 1|

For the given triangle with vertices at A(-1, 3), B(0, -4), and C(3, 3), let's assume we want to translate it by a vector (−2, 4). Then the transformation matrix for translation is:

|1 0 -2|

|0 1 4 |

|0 0 1 |

To apply this transformation matrix to each vertex of the triangle, we represent the vertices as column vectors and multiply them by the matrix:

| -1 | | 1 0 -2 | | -3 |

| 3 | -> | 0 1 4 | = | 7 |

| 1 | | 0 0 1 | | 1 |

| 0 | | 1 0 -2 | | -2 |

| -4 | -> | 0 1 4 | = | 0 |

| 1 | | 0 0 1 | | 1 |

| 3 | | 1 0 -2 | | 1 |

| 3 | -> | 0 1 4 | = | 7 |

| 1 | | 0 0 1 | | 1 |

So, the new vertices of the triangle after the translation are A'(-3, 7), B(-2, 0), and C(1, 7), which form the resultant matrix:

|-3 -2 1 |

| 7 0 7 |

| 1 1 1 |

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A y-intercept of the continuous function in the table is;  (0, –6)

The y-intercept of a function is defined as the point where the graph intersects the y-axis. This means the point where the x-value is zero.

Now, from the function table given, we can see the coordinates of the function are given as;

(-4, 10)

(-3, 0)

(-2, 0)

(-1, -4)

(0, -6)

(1, 0)

Now, from the coordinates above , we can see that the only coordinate that has the x-value as zero is the one (0, -6) and as such by definition, it is the y-intercept.

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The diameter that separates the smallest 14% of diameters from the rest is approximately 9.946 mm.

In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, about 95% within two standard deviations, and approximately 99.7% within three standard deviations. Since we want to find the diameter that separates the smallest 14% of diameters from the rest, we need to determine the value that corresponds to this cutoff point.

To calculate this, we'll use a statistical concept called the z-score. The z-score measures the number of standard deviations a particular value is from the mean. It can be calculated using the formula:

z = (x - μ) / σ

where:

z is the z-score

x is the value we want to find (diameter in this case)

μ is the mean diameter (10.00 mm)

σ is the standard deviation (0.05 mm)

To find the diameter that separates the smallest 14% of diameters, we need to find the z-score corresponding to the 14th percentile. Since the normal distribution is symmetric, the cutoff point will be a negative z-score.

Plugging in the values, we have:

x = (-1.0803) * 0.05 + 10.00

Calculating this expression, we find:

x ≈ 9.946 mm

Therefore, the diameter that separates the smallest 14% of diameters from the rest is approximately 9.946 mm.

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Answer:

p = 6

Step-by-step explanation:

All you have to do is use distributive property of the left side. Then, add like terms until you get p on one side and a constant on the other. Then just divide both sides by the number that is with the p. In the end you will reach the p = 6 answer.

Answer:

The answer is

\(y = - 5x - 2\)

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

\(y = mx + b\)

❃Incase you also forgot, The is what the slope formula is ☟

\(m = \frac{y_2 - y_1 }{x_2 - x_1}\)

➊ First: We are going to be solving for the slope.

\(m = \frac{ - 2 - 3}{0 - ( - 1)} = \frac{ - 5}{ \: \: \: 1} = - 5\)

➋Second: We find the y-intercept.

\(y = mx + b \\ 3 = - 5( - 1) + b \\ 3 = 5 + b \\ \frac{ - 5 = - 5 \ \ \: \: \: \: \: \: }{ - 2 = b}\)

➌Third: Plug in.

\(y = - 5x - 2\)

n - 2.5 represent the Cost Price after a discount of 2.50

Given parameters,

Modeling of the total cost = 35 + 3(n - 2.5)

The general format of models like this is as follows;

Price + quantity (cost after coupon)

Coupon literally is a code that are used to obtain a discount on the current purchase

By comparison;

Price = 35 (i.e. current dress price).

Quantity = n (i.e. the number of shirts bought)

Lastly, cost after coupon = n - 2.5

It is stated that she applies a coupon on each T shirt

This can be interpreted to: removing a total discount of $2.50 from the three t-shirt.

By removing, the expression is given as negative $2.5

Hence,

n - 2.5 represent the total cost on each T shirt after coupon is applied

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Answer:

Yes

Step-by-step explanation:

Yes the answer is 6 x 2 - 36 ÷ 12 and it is correct. Although you could change this arithmetic expression by adding parenthesis to make it easier to read and know which operations come first, like so...

(6 x 2) - (36 ÷ 12)

This would make it easier to see that the 6x2 must be done first and then the 36/12 before doing the subtraction.

The value of the expression - (- 18) is not the same as negative 18.

When two equal or dissimilar signs are used in an operation, the law or sign rule specifies which sign wins.

Addition and subtraction sign rules

A positive sign will be included in the outcome when two positive integers are added. 3 + 5 = 8

The outcome will bear the sign of the larger number when two numbers with opposite signs—one positive and the other negative—are added or subtracted. 5 - 6 = - 1

The outcome will bear the sign of the larger number when two numbers with opposite signs—one negative and the other positive—are added or subtracted. - 7 + 4 = - 3

By subtracting two negative integers, the outcome will also be negative.

- 5 - 4 = - 9

For the expression - (- 18) using the sign conventions.

Negative time negative becomes a positive.

That is, - (- 18) = + 18.

Hence, the value of the expression - (- 18) is not the same as negative 18.

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Using a 35-bag sample with a mean of 406.0 grams, a known standard deviation of 25.0 grams, and a level of significance of 0.05, you can perform a one-tailed Z-test to determine whether to reject or fail to reject the null hypothesis.

To test if the potato chip manufacturer's bag filling machine is working correctly at the 411.0-gram setting, we will state the hypotheses using the given terms.

Null Hypothesis (H0): The machine fills bags correctly, with a mean weight of 411.0 grams (µ = 411.0 grams)
Alternative Hypothesis (H1): The machine is underfilling bags, with a mean weight less than 411.0 grams (µ < 411.0 grams)

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Answer:

a=7/36...............

Answer:

c

Step-by-step explanation:

because it just moves to the right by 7 units. it does not change in shape or size, only location.

Answer:

C an equilateral triangle of exactly the same size

a.

The y-coordinate of the vector with its terminal point in the second quadrant is 6.

The magnitude of the vector, r = √(x² + y²) where x = x-coorcinate of vector = -5 and y = y-coordinate of vector.

Since r = √61 and r = √(x² + y²)

Making y subject of the formula, we have

y = √(r² - x²)  

Substituting the values of the variables into the equation, we have

y = √((√61)² - (-5)²)  

y = √(61 - 25)  

y = ±√36

y = ±6

Since r is in the second quadrant, its y-coordinate is positive.

So, y = 6

So, the y-coordinate of the vector with its terminal point in the second quadrant is 6.

b.

The direction angle of the vector with its terminal point in the second quadrant is 130°

The direction angle of the vector is gotten from tanФ = y/x

Subsstituting x and y into the equation, we have

tanФ = y/x

tanФ = 6/-5

tanФ = -1.2

tan(180° - Ф) = 1.2

Taking inverse tan of both sides, we have

180° - Ф = tan⁻¹(1.2)

180° - Ф = 50.2°

Ф = 180° - 50.2°

Ф = 129.8°

Ф ≅ 130° to the neares whole number

The direction angle of the vector with its terminal point in the second quadrant is 130°.

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Answer:

first one is 6.0 and the second is 130

Step-by-step explanation:

Answer:

6.93768377668

Step-by-step explanation:

confusion

Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

To calculate the accumulated present value and future value of continuous income streams, we can use the continuous compounding formula:

Accumulated Present Value = Principal * e^(rate * time)

Accumulated Future Value = Principal * e^(rate * time)

Where:

Principal: The initial amount or size of the income stream

Rate: The continuous interest rate (expressed as a decimal)

Time: The duration of the income stream in years

e: The mathematical constant approximately equal to 2.71828

For the 9-year $160,000 continuous income stream compounded continuously at 3.1%:

Accumulated Present Value = $160,000 * e^(0.031 * 9) ≈ $117,488

For the 15-year $100,000 continuous income stream compounded continuously at 4.6%:

Accumulated Future Value = $100,000 * e^(0.046 * 15) ≈ $215,165

For the 19-year $130,000 continuous income stream compounded continuously at 3.8%:

Accumulated Future Value = $130,000 * e^(0.038 * 19) ≈ $253,813

Using the continuous compounding formula, we have calculated the accumulated present value and future value for the given continuous income streams. The accumulated present value and future value provide estimates of the total value of the income streams after the specified durations, considering continuous compounding at the given interest rates

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a) The fire is out of the reach of helicopter 1.

b) Only helicopter 3 can be sent to stop the fire.

We have both the location of the fire and the initial position of the three helicopters set on a Cartesian plane. The locations are listed below:

The distance is found by the straight line distance formula, an application of Pythagorean theorem:

a) \(d = \sqrt{[1 - (- 3)]^{2}+[4-(-5)]^{2}}\)

\(d = \sqrt{4^{2}+9^{2}}\)

\(d = \sqrt{97}\)

d ≈ 9.849

The fire is out of the reach of helicopter 1.

b) Helicopter 2

\(d = \sqrt{[- 2 - (- 3)]^{2}+[3 - (- 5)]^{2}}\)

\(d = \sqrt{1^{2}+8^{2}}\)

\(d = \sqrt{65}\)

d ≈ 8.062

Helicopter 3

\(d = \sqrt{[4 - (- 3)]^{2}+ [- 2 - (-5)]^{2}}\)

\(d = \sqrt{7^{2}+3^{2}}\)

\(d = \sqrt{58}\)

d ≈ 7.616

Only helicopter 3 can be sent to stop the fire.

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18 root

2

Step-by-step explanation:

In this question imagine there is no y

It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2

The recursive rule for the sequence given is aₙ = aₙ₋₁ + 13.

Given that, a sequence,

position, n = 1 2 3 4 5

term, f(n) = 5 18 31 44 57

We need to write the recursive rule for the sequence,

So,

a₁ = 5, a₂ = 18

18-5 = 13

a₃ = 31, a₄ = 44

44-31 = 13

Therefore,

We see that, the preceding term is 13 less than the succeeding term,

We can write,

aₙ = aₙ₋₁ + 13

Hence, the recursive rule for the sequence given is aₙ = aₙ₋₁ + 13.

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Dilbert's boss was wrong to use the number 40% to assume that the employees were cheating because it only represents a percentage and not the actual number of days that the employees were absent.

In reality, if the workweek is 5 days, then 40% would only be 2 days. Therefore, assuming that the employees were cheating based on this percentage alone is not a fair or accurate assessment. It's important to consider the actual number of days missed by each employee and investigate the reasons for their absence before jumping to conclusions.

While 40% might seem like nearly half of the days in a workweek, it doesn't necessarily imply that employees are cheating. To make a fair assessment, one should consider other factors such as workload, productivity, and employee performance, rather than solely focusing on a percentage.

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