Angle relationships, find the measure of angle “b”.

Answer:

9/25

Step-by-step explanation:

Answer:

B,

(i used graph paper[I made a mistake, it's not A])

Answer:

81.75

Step-by-step explanation:

First, find the median of all the answers.

78.25,  77.75, and 84 = 80 (median)

now that we know 80 is the median, we will add it to our solution.

And still, there is no OTHER TEST in to make this stay 80.

78.25, 77.75, 84, and 80 = 79.125

since this is incorrect, we go higher.

78.25, 77.75, 84 and 81 = 79.625

since this is also incorrect, we go higher.

78.25, 77.75, 84 and 82 = 80.125

since this is higher and incorrect, we will go lower to 81.5.

78.25, 77.75, 84 and 81.5 = 79.875

since this is lower AND 82 is not the correct solution, we will go up by 0.25.

78.25, 77.75, 84 and 81.75 = 80

To check, we will do the problem again.

78.25, 77.75, 84 and 81.75 = 80

So, the solution is 81.75

9514 1404 393

Answer:

  a = 6, b = 12, c = 6, d = 6√3

Step-by-step explanation:

The two triangles are the "special" triangles.

The 45-45-90 triangle has side lengths in the ratios 1 : 1 : √2.

The 30-60-90 triangle has side lengths in the ratios 1 : √3 : 2.

Then ...

  c : a : 6√2 = 1 : 1 : √2   ⇒   c = a = 6

and ...

  a : d : b = 1 : √3 : 2   ⇒   d = 6√3 and b = 12 . . . (since a=6)

The lengths are ...

  a = 6, b = 12, c = 6, d = 6√3

The arc length of the given arc is 7.85 km.

Any arc's length is given by the formula s = θr, where s is the arc's length, r is its radius, and θ is the angle's measurement in radians. Use the fact that equals to convert between degrees and radians that is \(\pi\) radians = 180 degrees. A subtended arc is the portion of the circle that is located in between the two rays that make up the center angle.

So, we have :
Arc Length, s = θr

Here, θ = 90 degrees = \(\frac{\pi }{4}\) radians

Radius of the circle, r = 10 km = 10*1000 m = 10000 m

Now, Calculating the Arc Length, s =  θr

\(s =\frac{\pi }{4} *10000 = 7850 m\)

We have calculated the arc length in S.I. Units.

Hence, The arc length is 7850 m = 7.85 km.

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Answer:

\(25x-1\)

Step-by-step explanation:

\(Perimeter\ is\ just\ the\ total\ length\ of\ the\ boundary\ of\ a\ polygon.\\It\ can\ be\ calculated\ by\ just\ adding\ all\ the\ corresponding\ sides\ of\ a\ polygon\ together.\\Here,\\Length\ of\ the\ 1st\ side=(3x+7)\\Length\ of\ the\ 2nd\ side=20x\\Length\ of\ the\ 3rd\ side=2(x-4)\\=2x-8\\Hence,\)\(The\ perimeter\ of\ the\ triangular\ park=(3x+7)+20x+2(x-4)\\=3x+7+20x+2x-8\\=3x+20x+2x+7-8\)

=25x-1

Answer:

C

Step-by-step explanation:

Answer: I think it’s A the cylinder

Step-by-step explanation:

For PLATO users, the answers are the cylinder and the cone, NOT EITHER OF THE PYRAMIDS!!! Your welcome....

There are X automobiles, with a mean of 12.5 cars. The standard deviation for X is also SD = 12.0.

First, a data set's mean and standard deviation convey distinct information. The average (center) of a data collection is provided by mean (it is a measure of central tendency). You may learn about the range (dispersion) of data around the mean by looking at the standard deviation. We may investigate a data set's characteristics and characterize it using both the mean and standard deviation. To provide confidence intervals for data that has a normal distribution, they are frequently combined. If two or more data sets need to be compared:

The mean reveals whether data set is, on average, greater or lower (or better or worse). We can determine whether data set has a wider dispersion using the standard deviation (higher standard deviation means data is more spread out from the mean). Second, there are variations in how each metric is calculated. In particular, we utilize squaring to get the standard deviation but not the mean. We completely avoid using squaring when determining the mean of a data collection. Simply multiplying the total number of data points in the set by the sum of all the values in the data set yields the answer.

The mean is calculated as follows:

Mean = (all data values added together) / (number of data values)

However, when calculating standard deviation, we do employ squaring. We take the square of the deviation between each data point and the mean in particular.

The standard deviation equation is as follows:

Finally, when we add the identical value to each data point in the data set, the mean and standard deviation "respond" differently. If we multiply every value in a data collection by the constant "K":

No of the size of the data collection, the mean rises by precisely K.

No matter how many observations are in the data collection, the standard deviation does not vary. The identical value is then added.

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\(25^{\frac{1}{2} }\)  = 5 because \(25^{\frac{1}{2} }\) = √25 and  √25 = 5.

Using exponent rule,

\(25^{\frac{1}{2} }\) = √25

Any number raised to the power of half (1 / 2), is the same as the square

root of that number. It is represented mathematically as follows:

\(a^{\frac{1}{2} }\) = \(\sqrt{a}\)

Therefore,

To find that \(25^{\frac{1}{2} }\)  = 5 can be resolved as follows:

Since \(25^{\frac{1}{2} }\) = √25

√25 = 5

Therefore,

\(25^{\frac{1}{2} }\)  = 5

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Answer:

4x - 3 - 2x + 5 = 6 - 3x + 2 + 5x

2x + 2 = 2x + 8

2 ≠ 8, so this equation has no solutions.

Answer:

No solution

Step-by-step explanation:

Given:

\(4x-3-2x+5=6-3x+2+5x\)

rearrange terms so like terms are together

\(4x-2x-3+5=6+2-3x+5x\)

combine like terms

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

subtract 2x to both sides

\(2\neq 8\)

2 doesn't equal 8, meaning that there are 0 solutions to this problem.

Hope this helps! :)

The slope intercept form of the given equation is,

y = 5x - 1/4

Given an equation of a line as,

5x - y = 1/4

We have to write the equation of the line in slope intercept form.

Equation of the line in slope intercept form is,

y = mx + c

Here m is the slope and c is the y intercept.

Rearranging the given equation,

5x = y + 1/4

5x - 1/4 = y

or,

y = 5x - 1/4

Hence the slope intercept form is y = 5x - 1/4.

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Answer:

Area of annulus is 40.85cm² to 2d.p

Step-by-step explanation:

Area of shaded part=Area of bigger circle -Area of smaler circle

Area of annulus= πR²- πr²= π(R²-r²)

A=3.142(7²-6²)

A=3.142(49-36)

A=3.142×13

A=40.846cm²

A=40.85cm² to 2d.p

Answer:

46% is the percent of the bags of baby carrots that have between 90 and 100 carrots

Step-by-step explanation:

The baby carrot is normally distributed.  

z = (x - µ)/σ

x is equal to number of baby carrots  

µ = mean

σ = standard deviation

Substituting the given values, we get -

90 ≤ x ≤ 100

z = (90 - 94)/8.2 = - 0.49

 For z value of -0.49, the probability is 0.31

For x = 100

z = (100 - 94)/8.2 = 0.73

For z value of 0.73, the probability is 0.77

P(90 ≤ x ≤ 100) = 0.77 - 0.31 = 0.46

The percent of the bags of baby carrots having carrots between 90 and 100 carrots is  0.46 × 100 = 46%

Answer:

n= 69 degrees

Step-by-step explanation:

total inside measure of any triangle is 180 degrees

180= n+n+42

180= 2n+ 42

2n= 180-42

2n= 138

n=69

Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

The value of 4.49 divided by 36 is 0.12472

Division is one of the four basic operations of arithmetic. It is the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication

The steps for the division ate:

Step 1: Take the first digit of the dividend from the left.

Step 2: Divide it by the divisor and write the answer on top as the quotient.

Step 3: Subtract the result from the digit and write the difference below.

Step 4: Bring down the next digit of the dividend.

In this case, the value is 0.12472.

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The pattern for the sequence 1.3, 8.3, 27.3, 64.3,… is f(n) = (n)³.3

The pattern in the question is given as

1.3, 8.3, 27.3, 64.3,…

In the above expressions and pattern, we can see that

From the above, we have the following

Current term = (n)³.3

Note that the decimal does not represent product

And also the pattern is a geometric sequence

Hence, the pattern for the sequence is f(n) = (n)³.3

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The area of the triangle, when a = 2 and c = 3, is 1512 square centimeters.

We must apply the formula for the area of a triangle, which is provided by: to determine the triangle's area.

(1/2) * Base * Height = Area

We can enter the values of a = 2 and c = 3 into the formula given that the base length is 3ac2 and the height is 2 centimetres greater than the base length.

Base length =\(3ac^2 = 3 * 2 * (3^2) = 3 * 2 * 9 = 54\) centimeters

Height is calculated as Base Length + 2 (54 + 2 = 56 centimetres).

Using these values as a substitute in the formula, we obtain:

Area =\((1/2) * 54 * 56 = 1512\) square centimeters

centimetres square

It's crucial to understand that the calculation assumes the triangle is a right triangle with the specified base and height and that the given values of a and c are accurately used in the formula.

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Answer:

Say it out loud like 93/and 75 hundrenths you count the denominators place and since it has two you say hundrenths.

Answer:

93 3/4

Step-by-step explanation:

93.75 = 93.75/1

93.75/1 × 100/100 = 9375/100

9375 ÷ 25 / 100 ÷ 25 = 37/54

93 3/4

93.75 = 93 3/4

Answer:

74.48

Step-by-step explanation:

Just Multiply 9.8 and 7.6

Answer:

74.48

Step-by-step explanation:

9.8x7.6= 74.48

All you need to do is line up the numbers and multiply like normal if you get a ten or higher it will go to the next number up

Hello!

For this you would just need to multiple straight across. Here's how you would set it up:

3/4 ·1/8

Then you would multiple 3 x 1 = 3

And 4 x 8 =32

Your answer should be 3/32, it cannot be simplified so that is the final answer :).

Answer:

572.7272

572.73 (rounded)

Step-by-step explanation:

used calc

The general formula for an arithmetic sequence is:

then,

The counting process was an essential component in evaluating the results and drawing conclusions based on the data gathered.

Hi! Bob and Aniyah's apples were counted by a designated individual, likely a teacher, supervisor, or event organizer, who was responsible for ensuring the accuracy and fairness of the counting process.

This person utilized their organizational skills and attention to detail to effectively tally the number of apples collected by both Bob and Aniyah.

By doing so, they were able to determine the final count, which was then used to either compare the performance of the two individuals or contribute to a larger total for a specific event or purpose.

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As a result, -3/10 csc⁵-3x + C is the antiderivative of 9csc-3xcot-3x⋅ csc³-3x.

In mathematics, an integral is either a number representing the region under a function's graph for a certain interval or an added to the initial, the derivative which is the previous function (indefinite integral).

9csc-3xcot-3x ⋅ csc³-3x = 9csc⁴-6x cot-3x

Then, we can use u-substitution, with u = csc-3x and du/dx = -3csc-3xcot-3x dx, as in the previous problem. We get:

∫9csc-3xcot-3x⋅ csc³-3x dx = -3/2 ∫u⁴ du

= -3/2 × u⁵ / 5 + C

= -3/10 csc⁵-3x + C

Therefore, the antiderivative of 9csc-3xcot-3x⋅ csc³-3x is -3/10 csc⁵-3x + C.

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Answer:

sorry :/ im not sureee but they would have sold 20  

Step-by-step explanation:

They sold 20 guitars that month.

Step-by-step explanation:

\( \frac{12 \times 100}{60} = total\)

\( \frac{1200}{60} = 20\)

Answer: 4.8

Step-by-step explanation:

Answer:I’m pretty sure I got this one right too

Step-by-step explanation:

The actual speed of the airplane is 472.56 mph in the direction of 41.57° north of west.

"In a two-dimensional coordinate system, any vector can be broken into x -component and y -component according to axis."

We can assume, east as the positive x- axis and north as the positive y-axis, respectively.

Similarly, west as the negative x- and south as the negative y-axis, respectively.

Therefore, the x- and y-components of the speeds.

Now, for the airplane:

x-component: - 500 × cos(45°) mph = - 353.55 mph

y-component: 500 × sin(45°) mph = 353.55 mph

For the wind:

y-component: -40 mph

Therefore, sum of the x-components = -353.55 mph

Similarly, sum of the y-components = (353.55 - 40) mph = 313.55 mph

Now, the actual speed =

\(\sqrt{(-353.55)^{2} + (313.55)^{2}}\) mph

= \(\sqrt{223313.6}\) mph

= 472.56 mph

Now, the direction of the airplane is:

tan(Ф) = \(\frac{313.55}{- 353.55}\)

⇒ Ф = tan⁻¹( \(\frac{313.55}{- 353.55}\))

⇒ Ф = - 41.57°

The actual speed of the airplane is 472.56 mph in the direction of 41.57° north of west.

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