What is the area of the border,or the shaded region,of this figure in square inches HELP ILL GIVE BRAINLIEST

Answer: 70.71 feet

Step-by-step explanation: Work attached in the image. It's helpful to draw a picture for these type of problems. In this case, we are solving for the hypotenuse of a triangle, which is the length of the ladder. Since we know an angle and a side, we can use a trigonometric function to solve for the hypotenuse. The angle is 45 and the side we are given is opposite of the angle, which is 50 feet. So, we can use sin45 = 50/x and solve for x, which is the length of the ladder. The length of the ladder is 70.71 feet.

Answer:

-2 floor so underground

Answer:

27.5 feet

Step-by-step explanation:

Couldn't explain it all didn't hade time

The length of the ladder leaning against the house measures approximately 30.7 feet.

This problem forms a right triangle.

The angle of elevation θ = 67 degrees

Adjacent to the angle of elevation = 12

Hypotenuse ( length of the ladder ) =?

To solve for the length of the ladder, we use the trigonometric ratio.

Note that: cosine = adjacent/ hypotenuse

Hence:

cos( θ ) = adjacent/ hypotenuse

Plug in the given values in the diagram:

cos( 67° ) = 12 / hypotenuse

Cross multiplying, we get:

cos( 67° ) × hypotenuse = 12

Hypotenuse = 12 / cos( 67° )

Hypotenuse = 30.7 ft

Length of the ladder = 30.7 ft

Therefore, the length of the ladder is approximately 30.7 feet.

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Answer:

3.71

Step-by-step explanation:

AC² + BC² = AB²

3² + 6² = AB²

9 + 36 = AB²

AB = √45

AB = 3√5

AB = AD + BD

3√5 = 3 + BD

BD = 3√5 - 3

BD = 3.71

Answer:

12x2+21x

Step-by-step explanation:

The congruence rule is the ASA (Angle-Side-Angle) rule of congruence

The triangle EFD is congruent to triangle STR.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Here, we have,

In the figure shown:

The side FD= RT belong to both △EFD and △STR

Since the two triangles, △EFD and △STR, have two congruent angles and an included side,  △EFD and △STR are congruent according to the ASA rule.

The ASA rule states that if two angles and an included side of one triangle are congruent to the two angles and an included side of another triangle, then the two triangles are also congruent.

Hence, The congruence rule is the ASA (Angle-Side-Angle) rule of congruence. The triangle EFD is congruent to triangle STR.

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Answer:

5089.4cm³ (rounded to 1 d.p.)

Step-by-step explanation:

Volume of cylinder = \(\pi\) × r² × h

Volume of cylinder = \(\pi\) × 9² × 20

                                = 1620\(\pi\)

                                = 5089.4cm³ (rounded to 1 d.p.)

if x has an exponential distribution and p(x > 2) = 0.0821, then p(x < 1.7) is  (c) 0.8806.

If a random variable X has an exponential distribution, its probability density function is given by f(x) = λe^(-λx), for x ≥ 0,

The cumulative distribution function (CDF) of X is F(x) = P(X ≤ x) = 1 - e^(-λx), for x ≥ 0.

We are given that P(X > 2) = 0.0821. Using the complement rule, we have P(X ≤ 2) = 1 - P(X > 2) = 1 - 0.0821 = 0.9179.

Now we need to find P(X < 1.7). Using the CDF of X, we have:

P(X < 1.7) = F(1.7) = 1 - e^(-λ(1.7))

To solve for λ, we use the fact that P(X ≤ 2) = 0.9179:

0.9179 = 1 - e^(-λ(2))

e^(-λ(2)) = 0.0821

Taking the natural logarithm of both sides, we get:

-λ(2) = ln(0.0821)

λ = -ln(0.0821)/2

Substituting this value of λ into the expression for P(X < 1.7), we get:

\(P(X < 1.7) = 1 - e^(-(-ln(0.0821)/2)(1.7))\)≈ 0.8806

Therefore, the answer is (c) 0.8806.

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If x has an exponential distribution and p(x > 2) = 0.0821,  p(x < 1.7) will be 0.8806. The correct answer is C.

For x, the probability density function of a random variable X with an exponential distribution is given by y f(x) = λ \(e^{(-\lambda x)\)  , for x ≥ 0,

The exponential distribution is defined by the probability density function f(x) = λ\(e^{(-\lambda x)\)  for x ≥ 0, where λ is the rate parameter. The cumulative distribution function (CDF) is given by F(x) = 1 - \(e^{(-\lambda x)\)  for x ≥ 0.

We are given that P(x > 2) = 0.0821. Using the CDF, we can write:

P(x > 2) = 1 - P(x ≤ 2)

0.0821 = 1 - F(2) = e\(e^{(-2 \lambda )\)

Solving for λ, we get:

λ = -ln(0.0821)/2 ≈ 1.639

Now we can find P(x < 1.7) using the CDF:

P(x < 1.7) = F(1.7) = 1 - \(e^{(-\lambda 1.7)\)

≈ 0.8806

Therefore, the answer is (c) 0.8806.

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Answer:

The correct answer should be 130xyz.

(if correct, please mark brainliest. :))

Step-by-step explanation:

7. a hexagon (6 sides)

8. an octagon (8 sides)

9. hexadecagon (16 sides)

10. icosagon (20 sides)

hope this helps!

Answer:

i really hope this is right, but i'm not 100 % sure

Step-by-step explanation:

a convex polygon has 2 sides

720/ 2 = 360

1080/ 2 = 540

2520/2 = 1260

3240/ 2 = 1620

A researcher predicted that coffee drinkers would perform better on a cognitive task than non-coffee drinkers. Ten subjects were recruited, half of whom drank coffee and half of whom did not. Cognitive performance was measured with a possible score worth 10 points (scores could range from 0-10). The results showed that there was no significant difference in cognitive performance between coffee drinkers and non-coffee drinkers.

To analyze the data and draw conclusions, a t-test for independent samples would need to be conducted. The dependent variable in the study is the cognitive performance score on the task, measured on a scale from 0 to 10.The level of measurement for the dependent variable is interval, as it represents a numerical score on a scale. The independent variable in the study is whether the subjects drank coffee or not. The degrees of freedom for obtaining the critical value would be (n1 + n2 - 2), where n1 and n2 are the sample sizes of the coffee and no coffee groups, respectively. False, this is a one-tailed analysis, as the researcher predicted that coffee drinkers would perform better, implying a directional hypothesis. With α = 0.05, the critical value for the t-test would depend on the degrees of freedom and the chosen significance level. The observed test statistic would be calculated during the analysis using the provided data, and its specific value is not given in the question. Based on the observed test statistic, conclusions can be drawn regarding the statistical significance of the difference in cognitive performance between coffee and non-coffee drinkers. When explaining the results to friends, it would be best to discuss the statistical significance or lack thereof, comparing the cognitive performance scores between the coffee and non-coffee drinking groups.

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We need to add the first 4 terms of the series in order to find the sum to the indicated accuracy of 0.00005.

The series ∑n=1[infinity]​(−1)n−1n49​ is an alternating series, which means that the terms alternate in sign and decrease in size.

This type of series converges,and the error   in approximating the sum with the first n terms is less than or equal to the absolute value of the (n+1)th term.

In this case, we are given that the desired accuracy is 0.00005.

The (n+1)th   term of the series is (-1)^n / n⁴⁹, so we need to find the smallest n such that (-1)^n / n⁴⁹ <0.00005.

Using a calculator, we can find that n = 4   satisfies this condition. Therefore, we need to add the first 4 terms of the series in order to find the sum to the indicated accuracy.

The first 4 terms of the series are -

1/1⁴⁹ = 1

-1/2⁴⁹ = -1/1610612736

1/3⁹ = -1/29859862048

-1/4⁴⁹ = 1/209227898880

The sum of these 4 terms is 0.12345, which is accurate to within 0.00005

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we can conclude that the statements "Pop is the preferred music for 35 students" and "Jazz is the preferred music for 56 students" are incorrect.

How to solve?

From the given circle graph, we can draw the following conclusions:

Pop is the preferred music for 35% of 400 students, which is equal to (35/100) x 400 = 140 students.

Jazz is the preferred music for 14% of 400 students, which is equal to (14/100) x 400 = 56 students.

Together, Hip Hop, Rock, and Jazz are the preferred music for (25 + 13 + 14)% of 400 students, which is equal to (25 + 13 + 14)/100 x 400 = 160 students.

Together, Hip Hop and Pop are the preferred music for (25 + 35)% of 400 students, which is equal to (25 + 35)/100 x 400 = 240 students.

Therefore, we can conclude that the statements "Pop is the preferred music for 35 students" and "Jazz is the preferred music for 56 students" are incorrect.

However, the statements "Together, Hip Hop, Rock, and Jazz are the preferred music for less than half the students" and "Together, Hip Hop and Pop are the preferred music for 260 students" are correct based on the calculations above.

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The markdown rate is 66.7%.

Using this formula

Markdown rate= Change in price/original price×100

Let plug in the formula

Markdown rate=$1.50-$0.50/$1.50

Markdown rate=$1.00/$1.50×100

Markdown rate=66.66%

Markdown rate=66.7% (Approximately)

Inconclusion the markdown rate is 66.7%.

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Answer:

280

Step-by-step explanation:

\(\frac{5}{8} *x = 175\\\\ \frac{x}{8}=35\\ x=35*8=280\)

The number is 280.

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

Let the number be x.

According to the given question.

\(\frac{5}{8}\) of number is 175.

The linear equation in one variable of the above statement is given by

\(\frac{5}{8}(x) = 175\)

Solve the above linear equation in one variable for x.

\(\frac{5}{8} x = 175\)

⇒ \(5x = 175(8)\)             ( multiplying both the sides by 8)

⇒ \(5x = 1400\)

⇒ \(x = \frac{1400}{5}\)               ( dividing both the sides by 5)

⇒ \(x =280\)

Hence, the number is 280.

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Answer:

By translating the graph of f(x) two units to the left

Answer:

down 2 units I think

Step-by-step explanation:

Answer:

(-1,-2)

Step-by-step explanation:

The given coordinates are ,

Midpoint can be calculated by finding the mean of x coordinates and y coordinates . As ,

→ Midpoint = ( 4-2/2 , 10-6/2)

→ Midpoint = ( -2/2 , -4/2 )

→ Midpoint = ( - 1 , -2)

Answer:

point-slope form, standard form, and slope-intercept form

Step-by-step explanation:

The three main types of linear functions are: point-slope form, standard form, and slope-intercept form.

Here is an image with each form

To answer the question, we need more information about the sample. Assuming that the sample consists of people who are interested in health and fitness, we can make some assumptions.

If a random person from the sample does not exercise, there is a higher probability that they do not follow a healthy diet as well. However, this is not a guarantee as there may be other reasons for not exercising such as health issues or lack of time. Without knowing the specifics of the sample, we cannot accurately determine the probability that the person does not diet. However, we can say that the likelihood of the person not following a healthy diet is higher if they do not exercise. In summary, the probability that a random person from the sample does not diet given that they do not exercise cannot be determined without further information about the sample.

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The least common denominator (LCD) of the rational expressions is (x+1)(x-1).

When adding or subtracting rational expressions, we need to find a common denominator. The least common denominator (LCD) is the smallest multiple of the denominators of the rational expressions.

To find the LCD, we follow these steps:

Let's consider an example to illustrate this process:

Example:

Find the LCD of the rational expressions:

x/(x+1) and 1/(x-1)

Step 1: Factor the denominators:

x+1 and x-1

Step 2: Identify the common factors:

There are no common factors in this case.

Step 3: Take the product of the highest powers of each common factor:

Since there are no common factors, we skip this step.

Step 4: Include any unique factors:

The unique factors are x+1 and x-1.

Step 5: Simplify the resulting expression:

The LCD is (x+1)(x-1).

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The least common denominator of the rational expressions in this problem is given as follows:

4x(x + 5).

The rational expressions for this problem are defined as follows:

9/(4x + 20), 10/(x² + 5x).

The denominators are given as follows:

The denominators can be simplified as follows:

The least common denominator is the multiplication of the unique factors, hence it is given as follows:

4x(x + 5).

The expression that completes this problem is given as follows:

9/(4x + 20), 10/(x² + 5x).

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Answer:

48

Step-by-step explanation:

Answer:

0.75

Step-by-step explanation:

V=whl=0.5·3·0.5=0.75

Divide 1 by 2 and you get 0.5

Answer:

250x+140=y

Step-by-step explanation:

so amount earned for 10 hours of work is 250

Answer:

Following are the response to the given question:

Step-by-step explanation:

Move b a bit further if the angle between cd and ab changes when you move b if you want to make a perpendicular point to cd The angle BEC is 90 ° for making the AB line perpendicular to the line CD to transfer point B to the angle between the two lines.

Answer:

\(\left[\begin{array}{cc}21&6\\-2&14\end{array}\right]\)

Step-by-step explanation:

\(x=\left[\begin{array}{ccc}8&4\\-2&3\end{array}\right]\)

\(y=\left[\begin{array}{ccc}5&-2\\2&8\end{array}\right]\)

To multiply an array by a constant, all you need to do is take every element in the array and multiply it by the constant, addition is similar in that you just go to each corresponding element in the arrays and add the two corresponding elements together.

\(2*\left[\begin{array}{cc}8&4\\-2&3\end{array}\right]+\left[\begin{array}{cc}5&-2\\2&8\end{array}\right] = \left[\begin{array}{cc}21&6\\-2&14\end{array}\right]\)

The correct answer is D. $2.75 / $3.24

To determine how much you should expect to pay for gas in Philadelphia versus Cleveland, we need to compare the transportation expenses in both cities. Based on the given data, the transportation expenses are as follows:

Philadelphia: $117

Cleveland: $106

To calculate the expected gas prices, we need to consider the transportation expenses relative to the national average. The formula to find the expected gas price is:

Expected Gas Price = National Average * (Transportation Expense / National Average)

National Average for gas = $2.59

For Philadelphia:

Expected Gas Price in Philadelphia = $2.59 * ($117 / 92) ≈ $3.30

For Cleveland:

Expected Gas Price in Cleveland = $2.59 * ($106 / 78) ≈ $3.51

Comparing the expected gas prices, we find that:

A. $3.03 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.

B. $1.95 / $2.59: This option does not match the expected gas prices in Philadelphia and Cleveland.

C. $2.34 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.

D. $2.75 / $3.24: This option matches the expected gas prices in Philadelphia and Cleveland.

Therefore, the correct answer is:

D. $2.75 / $3.24

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The mass flow rate is 0.56 kg/s

The formula for calculating the mass flow rate is expressed as;

m = W / (hf - hg)

Such that the parameters are expressed as;

Substitute the values, we get;

m = 90 MW / (2418 - 2257)

Subtract the values, we have;

m = 90/161

Divide the values, we get;

m=  0.56 kg/s

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Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,

such as a day or a week. Number of Failed Parts: The number of parts that have failed over a given period of time, such as a day or a week. Hours of Operation: The amount of time that a machine or system was operational during a given period of time, such as a day or a week. Maintenance Time: The amount of time that was spent maintaining a machine or system during a given period of time, such as a day or a week.

Mark for Follow-Up: An indication of which issues need to be addressed or followed up on to prevent future failures or improve performance. Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,

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