HELP !!!! find the measurements of each angle

Answer:

First choice

This is clearly stated in the problem. Nothing else fits

Step-by-step explanation:

Answer:

Answer:

P(t) = 10t - 400

Step-by-step explanation:

Selling price of each ticket = $10

Cost of setting up the dance= $400

Profit = Revenue - cost

Revenue = price × quantity

Revenue that will maximize profit = 10t

where t= quantity of tickets that maximises profits

Cost = $400

Profit(t) = Revenue - cost

P(t)= 10t - 400

Step-by-step explanation:

Hope this helps, have a great day!

Answer:

A is given by:

\(A = h^2 - 4h\)

Step-by-step explanation:

The base length of the triangle is 4 units shorter than the height.

This means that \(b = h - 4\)

So

\(A = bh\)

\(A = (h-4)h\)

\(A = h^2 - 4h\)

The expression for A in terms of h only was given above.

Answer:

\({ \tt{ {a}^{2} {b}^{2} - {d}^{2} }} \\ \\ = { \tt{( {ab})^{2} - {d}^{2} }} \\ = { \tt{(ab - d)(ab + d)}}\)

Answer:

y = -6x^2 - 36x - 30

Step-by-step explanation:

X intercepts are the roots

y = a(x + 1)(x + 5)

to find "a" use point (0, -30)

-30 = a(1)(5)

-30 = a(5)

a = -6

therefor

y = -6(x + 1)(x + 5)

Expanded form

y = -6x^2 - 36x - 30

Answer:

We conclude that the mean resting pulse rate for men is 72 beats per minute.

Step-by-step explanation:

We are given that he mean resting pulse rate for men is 72 beats per minute. Assume that the standard deviation of the resting pulse rates of all men who work out at Mitch's Gym is known to be 2.6 beats per minute.

A simple random sample of men who regularly work out at Mitch's Gym is obtained and their resting pulse rates (in beats per minute) are listed below;

87, 89, 69, 63, 70, 65, 88, 84, 58, 53, 66, 70.

Let \(\mu\) = mean resting pulse rate for men.

SO, Null Hypothesis, \(H_0\) : \(\mu\) = 72 beats/minute     {means that the mean resting pulse rate for men is 72 beats per minute}

Alternate Hypothesis, \(H_A\) : \(\mu\) < 72 beats/minute      {means that the mean resting pulse rate for men is less than 72 beats per minute}

The test statistics that would be used here One-sample z-test statistics as we know about population standard deviation;

                            T.S. =  \(\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }\)  ~ N(0,1)

where, \(\bar X\) = sample mean mean resting pulse rate = \(\frac{\sum X}{n}\)

                =  \(\frac{87+ 89+ 69 +63 +70 +65+ 88+ 84+ 58+ 53+ 66+ 70}{12}\)  = 71.83 beats/minute

            \(\sigma\) = population standard deviation = 2.6 beats per minute

            n = sample of men = 12

So, the test statistics  =  \(\frac{71.83 - 72}{\frac{2.6}{\sqrt{12} } }\)    

                                     =  -0.23

The value of z test statistics is -0.23.

Also, P-value of the test statistics is given by;

            P(Z < -0.23) = 1 - P(Z \(\leq\) 0.23)

                                 = 1 - 0.59095 = 0.40905

Now, at 0.05 significance level the z table gives critical value of -1.645 for left-tailed test.

Since our test statistic is more than the critical value of z as -0.23 > -1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean resting pulse rate for men is 72 beats per minute.

Answer:

b

Step-by-step explanation:

Answer:

There are 40 apples in the basket.

This is because 5 apples to 3 pears have a difference of 1.66666667 when dividing 5 by 3 to show the ratio difference. Then, all you do is multiply this number by the number of total pears which would look like 24 x 1.66666667 = 40.

I hope this helped you, have an amazing day! :)

Answer:

B: 30 and 60

Step-by-step explanation:

First, let's set up an equation. Since the two angles are complementary, we can write the equation like this:

2p + p = 90

Now, let's solve it!

2p + p = 90

Combine like terms:

3p = 90

Divide each side by 3 to isolate p:

3p/3 = 90/3

p = 30

Now that we know how many degrees one of our angles is, we can subtract that from 90 to get both of the complementary angles.

90 - 30 = 60

Therefore, the two angles that are complementary in this case are 30 and 60 degrees.

The measure of angle TQU is 41.1°

What is angle of measure?

The measure of the angle is formed by the two lines or arms having a same vertex.

Solution:

We know that,

PQ² + PT² = QT²   -------- By Pythagoras theorem

∴QT = √10

∵ PT + TU + US = 4

∴ TU = 4 - PT - US

TU = 4 - 1 - 1

∴TU = 2

Now, using Pythagoras theorem in triangle PQU

PQ² + PU² = QU²

∴ QU =√ 3² + 3²         (∵PU = PT + TU = 1 + 2)

∴ QU = 3

Now using Heron's formula in triangle TQU

Semi-perimeter = (2 + √10 + 3)/2

                          = 4.08

Area of the triangle = \(\sqrt{S(S-TQ)((S-TU)(S-QU)}\)

                                = \(\sqrt{4.08(0.92)(2.08)(1.08)}\)

                                = 2.903 unit²

Now, we know that

Area of a scalene triangle = ab/2 × sin c

∴ 2.903 = (√10×3/)2 × sin T

∴ sin T = 2.903×2/3√10

  sin T  = 0.61

∴  ∠T = \(sin^{-1}\)(0.61)

∴∠T = 93.9°

Using sum of interior angles of a triangle = 180 i.e. (a + b + c =180°)

∠U + ∠T + ∠Q  = 180°

∴ ∠Q = 180 - 93.9 - 45

∴∠Q  = 41.1°

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The measure of angle TQU is 41.1°

What is angle of measure?

The measure of the angle is formed by the two lines or arms having a same vertex.

We know that,

PQ² + PT² = QT²   -------- By Pythagoras theorem

∴QT = √10

∵ PT + TU + US = 4

∴ TU = 4 - PT - US

TU = 4 - 1 - 1

∴TU = 2

Now, using Pythagoras theorem in triangle PQU

PQ² + PU² = QU²

∴ QU =√ 3² + 3²         (∵PU = PT + TU = 1 + 2)

∴ QU = 3

Now using Heron's formula in triangle TQU

Semi-perimeter = (2 + √10 + 3)/2

                         = 4.08

Area of the triangle = 2.903 unit²

Now, we know that

Area of a scalene triangle = ab/2 × sin c

∴ 2.903 = (√10×3/)2 × sin T

∴ sin T = 2.903×2/3√10

 sin T  = 0.61

∴  ∠T = (0.61)

∴∠T = 93.9°

Using sum of interior angles of a triangle = 180 i.e. (a + b + c =180°)

∠U + ∠T + ∠Q  = 180°

∴ ∠Q = 180 - 93.9 - 45

∴∠Q  = 41.1°

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Answer:

4%

Step-by-step explanation:

1000 of 25000 is 4%

16 ounces = 1 pound

1 ounce = 28 grams

These are conversions, American standard use ounces, and metric uses grams.

The slope intercept form of the line that passes through (-6,-3) and parallel to the line y = -4x + 1 is  y = -4x - 27 .

In the question ,

it is given that

the line passing through (-6,-3) is parallel to y = -4x + 1

If two lines are parallel they have same slope ,

So , the slope(m) of the required line will be -4       ...(i)

now to find the y intercept

Substituting the value of x = -6 , y = -3 and m = -4 in the slope intercept form of line

y = mx + b

-3 = (-4)*(-6)+b

-3 = 24 + b

b = -24 -3

b = -27

So , the equation of line is y = -4x - 27

Therefore , the slope intercept form of the line that passes through (-6,-3) and parallel to the line y = -4x + 1 is  y = -4x - 27 .

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Answer:

the box of 6 for 24 is better

Step-by-step explanation:

Answer:150?

Step-by-step explanation:

Based on the information given, there are a total of 118 solutions.

This is a problem of solving a Diophantine equation subject to some conditions. Let's introduce a new variable y4 = 20 - (x1 + x2 + x3 + x4). Then the problem can be restated as finding the number of solutions to:

x1 + x2 + x3 + y4 = 20

Subject to the following conditions:

0 ≤ x1 < 3

0 ≤ x2 < 4

0 ≤ x3 < 5

0 ≤ y4 < 6

We can solve this problem using the technique of generating functions. The generating function for each variable is:

(1 + x + x^2) for x1

(1 + x + x^2 + x^3) for x2

(1 + x + x^2 + x^3 + x^4) for x3

(1 + x + x^2 + x^3 + x^4 + x^5) for y4

The generating function for the equation is the product of the generating functions for each variable:

(1 + x + x^2)^3 (1 + x + x^2 + x^3 + x^4 + x^5)

We need to find the coefficient of x^20 in this generating function. We can use a computer algebra system or a spreadsheet program to expand the product and extract the coefficient. The result is: 1118

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Answer: This problem involves finding the number of non-negative integer solutions to the equation x₁ + x₂ + x3 + x₁ = 20 subject to the given constraints. We can use the stars and bars method to solve this problem.

Suppose we have 20 stars representing the sum x₁ + x₂ + x3 + x₁. To separate these stars into four groups corresponding to x₁, x₂, x₃, and x₄, we need to place three bars. For example, if we have 20 stars and 3 bars arranged as follows:

**|**||

then the corresponding values of x₁, x₂, x₃, and x₄ are 2, 4, 6, and 8, respectively. Notice that the position of the bars determines the values of x₁, x₂, x₃, and x₄.

In general, the number of ways to place k identical objects (stars) into n distinct groups (corresponding to x₁, x₂, ..., xₙ-₁) using n-1 separators (bars) is given by the binomial coefficient (k+n-1) choose (n-1), which is denoted by C(k+n-1, n-1).

Thus, the number of non-negative integer solutions to the equation x₁ + x₂ + x3 + x₁ = 20 subject to the given constraints is:

C(20+4-1, 4-1) = C(23, 3) = 1771

However, this count includes solutions that violate the upper bounds on x₁, x₂, x₃, and x₄. To eliminate these solutions, we need to use the principle of inclusion-exclusion.

Let Aᵢ be the set of non-negative integer solutions to the equation x₁ + x₂ + x3 + x₁ = 20 subject to the given constraints, where xᵢ ≥ mᵢ for some integer mᵢ. Then, we want to find the cardinality of the set:

A = A₀ ∩ A₁ ∩ A₂ ∩ A₃

where A₀ is the set of all non-negative integer solutions to the equation x₁ + x₂ + x3 + x₁ = 20, and Aᵢ is the set of solutions that violate the upper bound on xᵢ.

To find the cardinality of A₀, we use the formula above and obtain:

C(20+4-1, 4-1) = 1771

To find the cardinality of Aᵢ, we subtract the number of solutions that violate the upper bound on xᵢ from the total count. For example, to find the cardinality of A₁, we subtract the number of solutions where x₂ ≥ 4 from the total count. To count the number of solutions where x₂ ≥ 4, we fix x₂ = 4 and then count the number of solutions to the equation x₁ + 4 + x₃ + x₄ = 20 subject to the constraints 0 ≤ x₁ < 3, 0 ≤ x₃ < 5, and 0 ≤ x₄ < 6. This count is given by:

C(20-4+3-1, 3-1) = C(18, 2) = 153

Similarly, we can find the cardinalities of A₂ and A₃ by fixing x₃ = 5 and x₄ = 6, respectively. Using the principle of inclusion-exclusion, we obtain:

|A| = |A₀| - |A

Step-by-step explanation:

Based on the data recorded by Anna on Saturday, we can estimate the number of people expected to visit The Youth Wing on Sunday.

Let's calculate the proportion of visitors to The Youth Wing compared to the total number of visitors on Saturday:

\(\displaystyle \text{Proportion} = \frac{\text{Visitors to The Youth Wing on Saturday}}{\text{Total visitors on Saturday}} = \frac{382}{382 + 461 + 355}\)

Next, we'll apply this proportion to the total number of visitors on Sunday to estimate the number of people expected to go to The Youth Wing:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times \text{Total visitors on Sunday}\)

Now, let's substitute the values into the equation and calculate the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355}\)

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times 800\)

Calculating the proportion:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355} = \frac{382}{1198}\)

Calculating the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \frac{382}{1198} \times 800\)

Simplifying the equation:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx \frac{382 \times 800}{1198}\)

Now, let's calculate the approximate number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx 254\)

Therefore, based on the data recorded on Saturday, we can estimate that around 254 people should be expected to go to The Youth Wing on Sunday.

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

9514 1404 393

Answer:

  (W, T, L, S) = (3, 2, 1, 4.1)

Step-by-step explanation:

For some number of wins (W), ties (T), and losses (L), the player's score will be ...

  score = 2.2W +0.25T -3L

For 3 wins, 2 ties, and 1 loss, the player's score is ...

  2.2(3) +0.25(2) -3(1) = 6.6 +0.5 -3 = 4.1

Ben's position relative to the surface of the water is 10 meters above it.

The length along a line or line segment between two points on the line or line segment.

To find Ben's position relative to the surface of the water, we need to know the distance between Ben and the surface of the water.

Let us calculate this distance by adding the distance between Justin and the surface of the water (7 meters) to the distance between Justin and Ben.

Since Justin is 7 meters below the surface of the water, his distance from the surface is 7 meters.

Ben is 3 meters above Justin, so his distance from Justin is 3 meters.

Therefore, the distance between Ben and the surface of the water is:

7 meters + 3 meters = 10 meters

Hence, Ben's position relative to the surface of the water is 10 meters above it.

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Applying the tangent ratio, the value of x in the image, rounded to the nearest thousandth is: 15.824.

The tangent ratio, commonly referred to as "tangent," is a trigonometric function that relates the ratio of the length of the side opposite an angle to the length of the side adjacent to that angle in a right triangle. It is expressed as:

tan (∅) = opposite/adjacent

We have the following:

Reference angle (∅) = 53 degrees

Length of opposite side = 21

Length of adjacent side = x

Plug in the values:

tan 53 = 21/x

x * tan 53 = 21

x = 21 / tan 53

x = 15.824

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In this case, the given sample mean of 25.3 is only slightly higher than the population mean of 25, and is well within one standard deviation from the population mean. Therefore, the probability of a sample mean being less than 25.3 is 0.9582.

In statistics, the mean is a measure of central tendency that represents the sum of all values in a dataset divided by the total number of values in that dataset. It is also commonly referred to as the average.

Here,

To find the required probability, we need to calculate the z-score first:

z = (x - μ) / (σ / √n)

z = (25.3 - 25) / (1.3 / √68)

z = 1.73

Looking at the standard normal table, the probability of a z-score being less than 1.73 is 0.9582.

To determine whether the given sample mean would be considered unusual, we need to compare it to the population mean and standard deviation. A sample mean is considered unusual if it falls outside the range of values that are expected to occur with a high probability based on the population mean and standard deviation.

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Answer:

The correct answer is B.

Answer:

the second statement: The corresponding angles of quadrilaterals ABCD and A'B'C'D' are congruent.

Answer:

-1 + (2 * 5)

Step-by-step explanation:

keeping the numbers in order, you could do:

-1 + (2 * 5) = 9

let me know if that works :D

Answer:

n=N-1

Step-by-step explanation:

You can start by imagining this scenario on a small scale, say 5 squares.

Assuming it starts on the first square, the grasshopper can cover the full 5 squares in 2 ways; either it can jump one square at a time, or it can jump all the way to the end and then backtrack. If it jumps one square at a time, it will take 4 hops to cover all 5 squares. If it jumps two squares at a time and then backtracks, it will take 2 jumps to cover the full 5 squares and then 2 to cover the 2 it missed, which is also 4. It will always be one less than the total amount of squares, since it begins on the first square and must touch the rest exactly once. Therefore, the smallest amount n is N-1. Hope this helps!

Answer:

n=N-1

Step-by-step explanation:

Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.

Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).

Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.

Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.

The graph of the equation of the line y = k · x + 1 is shown in the image attached below.

In this problem we know that a function represents a line and that a point belongs to it. The equation of the line is of the form:

y = k · x + 1

Where k is the slope of the line equation.

If we know that (x, y) = (1, 3), then the equation of the line is:

3 = k + 1

k = 2

Then, the equation of the line is y = 2 · x + 1 and we proceed to graph the equation by means of a graphing tool. The result is presented in the image attached below.

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