A triangle has sides of length 12, 17, and 22. of the measures of the three interior angles, which is the greatest of the three

Answer:

Box 1= 24  Box 2= 28  Box 3= 99( Not sure about box 3, and sorry if it is wrong)

Step-by-step explanation:

Answer:

PEMDAS so multiply or divide the coefficient

Step-by-step explanation:

Answer:

a) length of sides remain unchanged

Step-by-step explanation:

Answer:

Its a linear function as there is a common difference of -9.

Step-by-step explanation:

x  y      Difference

1   4    

2  -5      -9

3 -14      -9

4 -23     -9

5 -32     -9

For a difference in x of we have a difference in y  of -9.

Answer:

She will no longer owe the bank any money. She will have 100 dollars in profit.

Step-by-step explanation:

$24 x 6 hours a day means she makes 144 dollars a day.
144 dollars times 25 means she makes 3600 dollars over the 25 day period.

3600-3500(the amount she owed) is 100 dollars

The values of the six trigonometric functions of angle θ with a terminal ray passing through the point (5, -2) in standard position,

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It is particularly concerned with the study of the six trigonometric functions: sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot), which are used to relate the angles of a triangle to the lengths of its sides. Trigonometry has many practical applications in fields such as physics, engineering, architecture, navigation, and surveying, as well as in various areas of mathematics, including calculus and complex analysis. It is a fundamental part of the study of geometry and is essential for understanding and solving problems involving angles and triangles.

To find the values of the six trigonometric functions of angle θ, which has a terminal ray passing through the point (5, -2) in standard position,  determine the values of the adjacent, opposite, and hypotenuse sides of the right triangle formed by the terminal ray.

Use the Pythagorean theorem to find the length of the hypotenuse:

h = √(5^2 + (-2)^2) = √29

Then we can determine the signs of the adjacent and opposite sides based on the location of the point (5, -2) in the coordinate plane. Since the x-coordinate is positive and the y-coordinate is negative, the adjacent side is positive and the opposite side is negative.

Adjacent side = 5 (positive)

Opposite side = -2 (negative)

Hypotenuse = √29

Now, use these values to find the six trigonometric functions of angle θ:

sin(θ) = opposite/hypotenuse = -2/√29

cos(θ) = adjacent/hypotenuse = 5/√29

tan(θ) = opposite/adjacent = -2/5

csc(θ) = hypotenuse/opposite = -√29/2

sec(θ) = hypotenuse/adjacent = √29/5

cot(θ) = adjacent/opposite = -5/2

Note: Determining  the signs of the trigonometric functions based on the signs of the adjacent and opposite sides of the triangle, which were determined from the location of the point (5, -2) in the coordinate plane.

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Answer:

Plot the point (5, –2) and draw a line from the point to the x-axis to make a right triangle.

Use the Pythagorean theorem to find the length of the hypotenuse.

Use the definition of each trigonometric function to find the values.

Determine the appropriate sign for each function, using the fact that the terminal side is in Quadrant IV.

Step-by-step explanation:

edg 23

Benchmark fractions are used to compare the relative sizes of fractions.

These fractions are typically halves, thirds, fourths, fifths, sixths, eighths, tenths, or twelfths, which are easy to compare because they are common fractions with simple denominators. To use a benchmark fraction to determine who tiled a greater portion of a floor, you first need to convert the fractions to have a common denominator that is equal to the benchmark fraction. For example, if you are comparing 1/3 and 2/5, you can use 6 as the common denominator because both 3 and 5 divide into 6 evenly. You would then convert 1/3 to 2/6 and 2/5 to 2.4. You can then compare the fractions using the benchmark fraction that is closest to the resulting fractions. In this case, you could use 1/2 as the benchmark fraction because it is between 2/6 and 2/4. You can see that 2/4 is closer to 1/2, which means that 2/5 is the greater fraction. Therefore, the person who tiled 2/5 of the floor tiled the greater portion of the floor.

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Answer:

(6, 2)

Step-by-step explanation:

I did this over 10 times it's so easy it is like a breeze

Answer:(-2,5)

Step-by-step explanation:

Answer:

This will help you- onlinemath4all.com/how-to-find-the-distance-of-a-chord-from-the-center-of-a-circle.html

If u still can't solve it msg me in this answer.

answer is 5 cm

I am happy to help

Total stockholders’ equity 7,800,000

Statement of stockholders’ equity for CC for the year ended December 31, 2012:Particulars Amount ($)
Common Stock 100,000

Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
Total stockholders’ equity 7,800,000

Explanation:The given information is as follows:Common Stock on January 1, 2012 = $100,000Additional Paid-in Capital on January 1, 2012 = $4,100,000

Retained Earnings on January 1, 2012 = $3,000,000Net Income for the year ended December 31, 2012 = $800,000Cash Dividend Declared on July 1 and paid on July 31 = $200,000

To prepare the statement of stockholders’ equity for the year ended December 31, 2012, we will begin by preparing the opening balances of each of the equity accounts. We will then add the net income to the retained earnings account.

The closing balance for retained earnings is then computed by subtracting the cash dividend declared and paid from the total retained earnings. Finally, the total stockholders' equity is calculated by adding the balances of all the equity accounts.

Calculations:Opening balance of common stock = $100,000

Opening balance of additional paid-in capital = $4,100,000

Opening balance of retained earnings = $3,000,000

Net Income for the year ended December 31, 2012 = $800,000

Retained earnings (Opening Balance) = $3,000,000

Add: Net Income for the year ended December 31, 2012 = $800,000

Total retained earnings = $3,800,000Less: Cash Dividend Declared on July 1 and paid on July 31 = $200,000Retained earnings (Closing balance) = $3,600,000

Total stockholders’ equity = Common Stock + Additional Paid-in Capital + Retained Earnings (Closing balance) = $100,000 + $4,100,000 + $3,600,000 = $7,800,000

Therefore, the statement of stockholders’ equity for CC for the year ended December 31, 2012, is as follows:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000

Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
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Answer:

30 minutes

Step-by-step explanation:

6=45

4=x

6x2/3=4

45x2/3=30

x=30

Answer:

66 minutes

Step-by-step explanation:

Answer:

C) 117 Feet

Step-by-step explanation:

The question is ultimately asking for the hypotenuse of the rectangle. We can calculate that with a^2 + b^2 = c^2.

100^2+60^2=c^2

10000+3600=c^2

c^2=13600

c=116.6190379

Round --> 117

Thus the answer, C).

Answer: It's A

Step-by-step explanation:

Answer:

Two solutions

Step-by-step explanation:

x^2-x=1

plug into the discrimiant fomurla

The asnwer ends up being 5

which is positive,  meaning that the discriminant has two solutions

Postitive number = Two solutions

The answer is 0 = One solution

Negative number = No solutions

:)

Using the information given in the exercise, you can draw the following diagram:

Where β is the angle of depression (in degrees) from the edge of the diving board to the surface of the water where Sierra is located.

In order to find the measure of the angle of depression, you need to use the following Inverse trigonometric function:

In this case, you can identify that:

Therefore, substituting the values, you get the following result:

The answer is:

Answer: 25 days

Step-by-step explanation:

The original number of students in the hostel was 50, and now it is 80 because 30 joined. So the original number of students was 5/8 of what it is now.

I use the inverse formula the number of days the food will last.

40 * 5/8 = 200/8 = 25

If there are 80 students, then the food will only last for 25 days.

Answer:Therefore, the range is 32 and the standard deviation is approximately 10.523 for the given data set.

Step-by-step explanation:To calculate the range and standard deviation for the given data set {40, 65, 33, 46, 55, 50, 61}, we can follow these steps:

Step 1: Find the range.

The range is calculated by subtracting the minimum value from the maximum value in the data set.

Range = Maximum value - Minimum value

Range = 65 - 33

Range = 32

Step 2: Calculate the mean.

The mean is calculated by summing up all the values in the data set and dividing by the total number of values.

Mean = (40 + 65 + 33 + 46 + 55 + 50 + 61) / 7

Mean = 350 / 7

Mean = 50

Step 3: Calculate the deviation for each value.

Deviation is calculated by subtracting the mean from each value in the data set.

Deviation for 40 = 40 - 50 = -10

Deviation for 65 = 65 - 50 = 15

Deviation for 33 = 33 - 50 = -17

Deviation for 46 = 46 - 50 = -4

Deviation for 55 = 55 - 50 = 5

Deviation for 50 = 50 - 50 = 0

Deviation for 61 = 61 - 50 = 11

Step 4: Square each deviation.

Squared deviation for -10 = (-10)^2 = 100

Squared deviation for 15 = 15^2 = 225

Squared deviation for -17 = (-17)^2 = 289

Squared deviation for -4 = (-4)^2 = 16

Squared deviation for 5 = 5^2 = 25

Squared deviation for 0 = 0^2 = 0

Squared deviation for 11 = 11^2 = 121

Step 5: Calculate the variance.

Variance is calculated by summing up all the squared deviations and dividing by the total number of values.

Variance = (100 + 225 + 289 + 16 + 25 + 0 + 121) / 7

Variance = 776 / 7

Variance ≈ 110.857

Step 6: Calculate the standard deviation.

The standard deviation is the square root of the variance.

Standard Deviation ≈ √110.857

Standard Deviation ≈ 10.523

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To evaluate the limit

\(\[ \lim_{(x,y)\to(4,-4)} \frac{3x^2 + 12}{-x + y + 3y^2} \]\)

we can analyze the limit along two different paths. Let's consider the paths\(\( y = x - 8 \) and \( y = 4 \)\).

Along the path y = x - 8, the limit becomes

\(\[ \lim_{x\to 4} \frac{3x^2 + 12}{-x + (x - 8) + 3(x - 8)^2} \]\)

Simplifying this expression, we get

\(\[ \lim_{x\to 4} \frac{3x^2 + 12}{-8 + 3x^2 - 48x + 192} = \lim_{x\to 4} \frac{3(x^2 + 4)}{3(x^2 - 16x + 64)} \]\)

After canceling the common factor of 3, we have

\(\[ \lim_{x\to 4} \frac{x^2 + 4}{x^2 - 16x + 64} = \frac{20}{0} \]\)

Since the denominator becomes zero and the numerator is nonzero, the limit along this path does not exist.

Now, let's consider the path y = 4. Along this path, the limit becomes

\(\[ \lim_{x\to 4} \frac{3x^2 + 12}{-x + 4 + 3(4)^2} = \lim_{x\to 4} \frac{3x^2 + 12}{-x + 4 + 48} = \lim_{x\to 4} \frac{3x^2 + 12}{-x + 52} = \frac{60}{48} = \frac{5}{4} \]\)

Since the limit along the path y = 4  exists and is finite, while the limit along the path y = x - 8 does not exist, we can conclude that the overall limit

\(\[ \lim_{(x,y)\to(4,-4)} \frac{3x^2 + 12}{-x + y + 3y^2} \]\)does not exist by the two path test.

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Assuming y[-1] = 0, we can solve this equation recursively for n ≥ 0.

To find the unit-pulse response h[n] for the given discrete-time systems, we can solve for y[n] when the input x[n] is a unit pulse.

For the system y[n+1] + 0.5y[n] = x[n+1]:

We can substitute x[n] = δ[n], where δ[n] is the unit pulse.

y[n+1] + 0.5y[n] = δ[n+1]

Next, we can express y[n+1] in terms of y[n] and solve the equation.

y[n+1] = -0.5y[n] + δ[n+1]

Since the initial condition is not provided, we assume y[-1] = 0.

For n = 0, the equation becomes:

y[1] = -0.5y[0] + δ[1]

For n = 1, the equation becomes:

y[2] = -0.5y[1] + δ[2]

By substituting the value of y[1] from the previous equation, we can continue this process recursively to find y[n] for n ≥ 0.

For the system y[n+1] + 1.5y[n] = x[n]:

Following the same procedure, we substitute x[n] = δ[n] into the equation:

y[n+1] + 1.5y[n] = δ[n]

Again, assuming y[-1] = 0, we can solve this equation recursively for n ≥ 0.

Note that finding a closed-form solution for the pattern of y[n] might not be straightforward, as it depends on the initial conditions and the specific values of the unit pulse at different time indices.

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Answer:

-1.1

Step-by-step explanation:

:)

The probability of finding 2 defects on one panel is approximately 0.268, or 26.8%.

To find the probability of finding 2 defects on one panel, we need to determine the probability mass function (PMF) of the number of defects in a panel.

Given that the average number of defects per panel is 0.8, we can assume that the defects follow a Poisson distribution.

In a Poisson distribution, the average number of events (defects in this case) occurring in a fixed interval is equal to the mean of the distribution.

Let's denote λ as the average number of defects per panel, which is given as 0.8.

The PMF of the Poisson distribution is given by the formula:

P(X = k) = (e^(-λ) * λ^k) / k!

Where X represents the random  (number of defects) and k is the specific number of defects we are interested in (in this case, 2).

Plugging in the values, we have:

P(X = 2) = (e^(-0.8) * 0.8^2) / 2!

Calculating this value:

P(X = 2) = (e^(-0.8) * 0.8^2) / 2

≈ 0.268

Therefore, the probability of finding 2 defects on one panel is approximately 0.268, or 26.8%.

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Answer:

the answer would be 20cm^2 i took a quiz.

Step-by-step explanation:

Answer:

56.55

Step-by-step explanation:

it is the answer because it is

The simplified expression is 2y² - 9.

To subtract the binomials (-3y^2 - 8) - (-5y^2 + 1), we need to distribute the negative sign to the terms inside the second set of parentheses:

(-3y^2 - 8) - (-5y^2 + 1) = -3y^2 - 8 + 5y^2 - 1

Next, we combine like terms by adding or subtracting the coefficients of the same degree:

-3y^2 + 5y^2 - 8 - 1 = (5y^2 - 3y^2) + (-8 - 1) = 2y^2 - 9

Therefore, the simplified expression is 2y² - 9.

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Answer: D. 150 roses

Step-by-step explanation: Just multiply 15 times 10

In the context of lean tools and approaches, one of the components of the 5s principles refers to a clean work area. The component that is being referred to here is "shine".

The 5s principles are a set of lean tools and approaches that are used to promote workplace organization, efficiency, and safety. These principles include:

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Answer:It is not possible

Step-by-step explanation: It is not possible because we need 12 plot to solve for an accurate mean but there is only 11 data which is impossible.

Answer: 530,000

Step-by-step explanation: Think: 2 is less than 5, so you would round down, therefore, the answer is 530,000