I need help with this

Answer:

74.5°

Step-by-step explanation:

Hannah, the kite and Patricia form the vertices of a right-angled triangle with the hypotenuse side the length of the string L = 60 feet and adjacent side the distance between Hannah and Patricia = d = 16 feet.

Let the angle between the string and the sand be Ф.

By trigonometric ratios,

cosФ = adjacent/hypotenuse

= d/L

= 16 feet/60 feet

= 0.2667

Ф = cos⁻¹(0.2667)

= 74.53°

≅ 74.5°

So, he angle between the string and the sand is Ф = 74.5°

An expression for the measure  β° is 180 - x

The correct answer is an option (d)

We know that the sum of four angles of the quadrilateral is always 360°

In the attached quadrilateral angle A and angle D measures 90 degrees respectively.

The measure of ∠ABC in the figure is x° and the measure of ∠BCD is β°

From above statement for quadrilateral ABCD we have,

⇒ ∠A + ∠B + ∠C + ∠D = 360°

⇒ 90° + x°+ β° + 90° = 360°

⇒ x° + β° = 360° - 180°

⇒ x° + β° = 180°

⇒ β = 180 - x

Therefore, the required expression is β = 180 - x

The correct answer is an option (d)

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Find the complete question below.

The slope of the tangent line is -3/5. So, the correct option is (e).

To find the curve C, we substitute y = 1 into the equation for the surface:

z = arctan((x + y)/(1 - xy))

z = arctan((x + 1)/(1 - x))

So the curve C is given by the equation:

C: (x, 1, arctan((x + 1)/(1 - x)))

To find the slope of the tangent line to C at the point where x = 2, we need to take the derivative of z with respect to x and evaluate it at x = 2:

z = arctan((x + 1)/(1 - x))

dz/dx = 1/(1 + ((x + 1)/(1 - x))^2) * (1 - (x + 1)/(1 - x)^2)

= (1 - x^2)/(1 + 2x)

At x = 2, the slope of the tangent line is:

dz/dx | x=2 = (1 - 2^2)/(1 + 2(2)) = -3/5

Therefore, the correct answer is (e) -3/5 .

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____The given question is incomplete, the complete question is given below:

The plane y=1 intersects the surface z= arctan((x + y)/(1=xy)) in a curve C. Find the slope of the tangent line to C at the point where x=2. Select one: a 1/3, b 1/5, c 1/2, d -1, e -3/5.

The median of a set of consecutive integers can be found by determining the middle value in the sequence. Given that the sum of 49 consecutive integers is 75, we can calculate their median.

To find the median of a set of consecutive integers, we need to determine the middle value. In this case, we are given that the sum of 49 consecutive integers is 75.

Let's assume the first integer in the sequence is "x." Since we have 49 consecutive integers, the last integer will be "x + 48." The sum of the sequence can be expressed as the sum of an arithmetic series: S = (n/2)(first term + last term), where "n" is the number of terms.

Substituting the given values, we have 75 = (49/2)(x + (x + 48)). Simplifying this equation further, we get 75 = 49(2x + 48).

Solving for "x" gives us x = -49. Therefore, the first integer in the sequence is -49, and the last integer is -1.

The median of a sequence of consecutive integers is the middle value. In this case, since we have an odd number of integers (49), the median will be the central value, which is (-49 + -1) / 2 = -25.

Thus, the median of the given sequence of 49 consecutive integers is -25.

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All of them are integers.

Answer:

question????????????

Answer:

where is the triangle

Step-by-step explanation:

Answer:

\(y = 3x + 12\)

Step-by-step explanation:

The rate of change is represented as the slope.

The problem is asking for a slope that is equal to 3.

y=6x-3 is incorrect, the equation is simplified and the slope is 6.

3y=2x+5 is incorrect, the slope is 2 and the equation isn't simplified.

y=3x+12 is correct, the equation is simplified and it's showing the correct slope.

Each angle is 53 degrees, 32 degrees, and 95 degrees.

We know that,

A triangle is a three-sided polygon that is sometimes (but not always) referred to as the trigon. Every triangle has three sides and three angles, which may or may not be the same. Triangles are three-sided polygons with three vertices. The angles of the triangle are formed by connecting the three sides end to end at a point. The total of the triangle's three angles equals 180 degrees. A triangle is a three-sided polygon with three vertices. The angle produced within the triangle is 180 degrees. It signifies that the total of a triangle's internal angles equals 180°.

Here,

The sum of angles of triangle is 180 degrees.

4x+5+7x+11+2x+8=180

13x+24=180

13x=156

x=12

T=4x+5

=4*12+5

=53 degree

U=2x+8

=2*12+8

=32 degree

V=7x+11

=7*12+11

=95 degree

The measure of each angle is 53 degree, 32 degree and 95 degree.

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Answer:

7.4 m it's because toes are yummy

The value of x in the equation -4(x+2)=8x+16 is -2

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

-4(x+2) = 8x + 6

-4( x+2) = 8x + 16

opening the parentheses

-4x -8 = 8x +16

-4x -8x = 16 + 8

-12x = 24

divide both sides by -12

x = 24/-12

x = -2

therefore the value of x = -2

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Answer:

1/6

Step-by-step explanation:

Since it's a OR statement, find a probability of each event and add

Another way would be count the ones that give u the sum of 4 and 10 which I got 6.

Total number of outcomes is 36.

So 6/36 = 1/6

Answer:

6 children passes

Step-by-step explanation:

a = adult and c = children

25a + 15c = 440           and          a + c = 20

                                                     c = 20 - a

25a + 15(20-a) = 440

25a + 300 - 15a = 440

25a - 15a = 440 - 300

10a = 140

a = 140/10

a = 14 and this is 14 adult tickets

Now we plug the a value into the equation to find the c value

14 + c = 20

c = 20 - 14

c = 6

Verify answer:

25(14) = 15(6) = 440

350 + 90 = 440

440 = 440

Answer:

3.5 meters times 100 is equal to 350 centimeters.

Step-by-step explanation:

Answer:

60 I think 3/5 converted to a decimal would be 0.6 right?

Step-by-step explanation:

\(-6y -31 =5\\\\\implies -6y = 5+31 = 36\\\\\implies y = -\dfrac{36}6 = -6\)

Step-by-step explanation:

...........y=-6.........

Answer:

ok

Step-by-step explanation:

Answer:

Step-by-step explanation:

Factor f(x)=x^3+2x^2-x-2. f(x)=x3+2x2−x−2 f ( x ) = x 3 + 2 x 2 - x - 2.

In general, observational studies are more problematic than randomized controlled trials because they can produce spurious relationships.

Observational studies rely on the natural variation in exposures and outcomes that occur in the population, without any intervention or manipulation by the researcher.

This can lead to confounding variables, which are factors that are associated with both the exposure and the outcome and can produce a false association between them.

Randomized controlled trials, on the other hand, assign participants to different exposure groups at random, which reduces the risk of confounding and allows for a more accurate assessment of causality.

Therefore, researchers must be cautious when interpreting observational studies and consider the potential for spurious relationships.

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The set of all images of the elements in the domain of a function is called the "range" or "codomain" of the function.

The set of all images of the elements in the domain of a function is called the range. The domain of a function refers to the set of input values or independent variables that the function can accept. It represents the set of values for which the function is defined. On the other hand, the range of a function refers to the set of output values or dependent variables that the function can produce. It represents the set of values that the function can take on as the input values change. The range is determined by evaluating the function for all possible input values in the domain. Thus, it is essential to determine both the domain and range of a function to fully understand its behavior and properties.

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The t-shirts she sell is 24.

What is profit and selling price?

Profit is considered as the gain amount from any business activity. Whenever a shopkeeper sells a product, his motive is to gain some benefit from the buyer in the name of profit.

The selling price is the price that the buyer pays to buy a product or goods. This is a price above cost and includes a profit ratio.

According to Question, Christine sold the t- shirts at $4 each and she earned a profit of $71 and his total expenses were $25

Let the total number of t- shirts sold by Christine be "x"

Profit = Selling price – Expenses

Selling price is given as:

selling price = total number to t-shirt sold ×price of each t shirt

selling price = n ×4

71 = (n×4) -24

71 + 25  = n×4

96/4 = n

n = 24

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Answer:

b.

Step-by-step explanation:

30×0.5×63 = 945

this is not a square number. therefore, the sqrt(945) is a number of infinite digit positions after the decimal point without repeating pattern.

so, it is a prime example of an irrational number.

Answer:

Exponents

By Vicki Young

I open up my textbook when I first get out of bed,

Start studying those rules, just like my teacher said!

Recognizing bases, exponents, too.

Exponents must be positive, negatives won't do.

I've got to work these problems, I've got to find a way.

Oh, I feel frantic today!

I start to see a pattern to how these things are done.

I raise to zero power and the answer's always one.

The base just can't be zero - I must remember that.

Just three more rules to learn now and then I can relax.

I'll put it all together, I'll know it pretty soon.

Oh, I feel better at noon!

To multiply same bases, exponents I combine.

Dividing's just the opposite, but then I must decide

To subtract the smaller power, the base correctly place.

The power rule says multiply, parentheses erase.

I know I've got these rules now, I know I've got them right.

Oh, I feel lucky tonight!

Step-by-step explanation:

The probability that no student will withdraw from the course is 0.0084 if  5% of its students who enroll in an introductory statistics class withdraw from 90 students.

The given data is as follows:

Students enroll = 5%

Number of students registered = 90

This problem is solved by using binomial probability.

The probability of success = 0.05

The probability of failure = 0.95

The number of trials = 90

The probability of no student withdrawing is calculated by the power of the number of trials to the probability of failure. Mathematically,

P(X=0) = (0.95)^90

P(X=0) = 0.0084

Therefore we can conclude that the probability that no student will withdraw from the course is 0.0084.

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Answer:

Richard would charge you $117 for working from 11:00am to 2:30pm.

Step-by-step explanation:

Answer:

Angle bisector

Step-by-step explanation:

Friend?

Simply replace n with 4 and do the math.

2n - 8

Let n = 4

2(4) - 8

8 - 8 = 0

Answer: 0

The measure of angle 1 is 48°.

The measure of angle 2 is 132°.

The measure of angle 3 is 132°.

What are the measure of angles?

Angle 1 and angle 48 are vertically opposite angles. Verticly  opposite angle have the same values. Thus, angle 1 would be 48.

Angle 1 and 2 are interior opposite angles. Thus, both angles should add up to 180 degrees.

180 - 48 = 132

Angle 2 and 3 are alternate external angles. Thus, they are equal.

Angle 3 would be 132.

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The given system satisfies the convergence condition for the Gauss-Seidel method, indicating that it will converge.

To determine if the given system will converge for the Gauss-Seidel method, we need to check if it satisfies the convergence condition.

In the Gauss-Seidel method, a system converges if the absolute value of the diagonal elements of the coefficient matrix is greater than the sum of the absolute values of the other elements in the same row.

Let's analyze the given system:

10cc1 + 2cc2 - cc3

The diagonal element is 10, and the sum of the absolute values of the other elements in the first row is 2 + 1 = 3. Since 10 > 3, the convergence condition is satisfied.

Therefore, we can conclude that the given system will converge for the Gauss-Seidel method.

To verify if a system will converge for the Gauss-Seidel method, we need to ensure that the convergence condition is satisfied. In this method, convergence is achieved if the absolute value of the diagonal elements of the coefficient matrix is greater than the sum of the absolute values of the other elements in the same row.

Analyzing the given system, we have the equation 10cc1 + 2cc2 - cc3 . We observe that the diagonal element of the coefficient matrix is 10. Now, let's calculate the sum of the absolute values of the other elements in the first row. We have 2 and 1 as the other elements. Adding their absolute values, we get 2 + 1 = 3.

Comparing the diagonal element with the sum, we find that 10 is greater than 3. Therefore, the convergence condition is satisfied for this system. As a result, we can conclude that the given system will converge when using the Gauss-Seidel method.

The given system satisfies the convergence condition for the Gauss-Seidel method, indicating that it will converge.

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Answer: 3

Step-by-step explanation: 12 times 1/4 = 3

Answer:

Explanation:

12×1/4 = 12/4 = 3

The value of L₄ for the function f(x) = 23cos(x/2) over the interval [2π/4, 2π/2] is 23.

L₄, we need to find the average value of the function f(x) over the interval [2π/4, 2π/2]. Here's the stepwise explanation:

1. Find the definite integral of f(x) over the given interval. The definite integral of f(x) with respect to x is given by F(x) = ∫(2π/4 to 2π/2) 23cos(x/2) dx.

2. Evaluate the integral. Applying the integral rules, we get F(x) = [23 × 2sin(x/2)](2π/4 to 2π/2).

3. Calculate the upper limit value: [23 × 2sin(2π/4)].

4. Calculate the lower limit value: [23 × 2sin(2π/2)].

5. Subtract the lower limit value from the upper limit value: [23 × 2sin(2π/4)] - [23 × 2sin(2π/2)].

6. Simplify the expression: 23 × 2sin(π/2) - 23 × 2sin(π) = 23 × 2(1) - 23 × 2(0) = 23 × 2 - 0 = 46.

Thus, L₄ = 46.

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