i need help fast fast

The value of opposite side of angle θ would be,

⇒ EF

Since, A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that,

A right triangle EFD is shown in figure.

And, At angle E, right angle is shown.

We know that;

The Opposite side of a angle is called perpendicular side.

Hence, The value of opposite side of angle θ would be,

⇒ EF

Thus, Option A is true.

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The sequence an = (-1)ⁿ * 5ⁿ alternates between positive and negative terms and grows without bound as n increases, so it does not converge and the limit does not exist (DNE).

The sequence is defined as an = (-1)ⁿ * 5ⁿ.

When n is odd, (-1)ⁿ is equal to -1, so an = -5ⁿ.

When n is even, (-1)ⁿ is equal to 1, so an = 5ⁿ.

Therefore, the sequence alternates between positive and negative terms, and the absolute value of the terms grows without bound as n increases.

This means that the sequence does not converge.

Hence, the limit of the sequence as n approaches infinity does not exist (DNE).

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Answer:

θ = \(\frac{\pi }{3}\) (60° )

Step-by-step explanation:

Using the identity

sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

Given

cos²θ - sin²θ = 2 - 5cosθ

cos²θ - (1 - cos²θ) = 2 - 5cosθ

cos²θ - 1 + cos²θ = 2 - 5cosθ

2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )

2cos²θ + 5cosθ - 3 = 0 ← in standard form

(cosθ + 3)(2cosθ - 1) = 0 ← in factored form

Equate each factor to zero and solve for θ

cosθ + 3 = 0

cosθ = - 3 ← not possible as - 1 ≤ cosθ  ≤ 1

2cosθ - 1 = 0

cosθ = \(\frac{1}{2}\) , so

θ = \(cos^{-1}\) (\(\frac{1}{2}\) ) = \(\frac{\pi }{3}\) ( or 60° )

Answer:

\( \huge \boxed{ \boxed{\blue{ { \theta = 60}^{ \circ} }}}\)

Step-by-step explanation:

\( \sf the \: second \: eqution \: is \: false \: \\ \sf because \: - 1 \leqslant \cos( \theta) \leqslant 1 \: \\ \sf but \: we \: can \: still \: work \: with \: the \: second \: equation\)

The vector function r'(t), r"(t), r'(t) r"(t), and r'(t) x r"(t). is
(a) r'(t) = 3ti - 3j + 15t²k

(b) r"(t) = 3i + 15tk

(c) r'(t) · r"(t) = 9t - 45t²

(d) r'(t) x r"(t) = -90t²i - 45tj - 9k

To find the derivatives of the vector function r(t) = 3²³i - 3tj + 5t³k, we differentiate each component of the vector with respect to t.

(a) To find r'(t), we differentiate each component separately:

r'(t) = (d/dt)(3²³i) - (d/dt)(3tj) + (d/dt)(5t³k)

= 0i - 3j + 15t²k

= 3ti - 3j + 15t²k

(b) To find r"(t), we differentiate each component of r'(t) with respect to t:

r"(t) = (d/dt)(3ti) - (d/dt)(3j) + (d/dt)(15t²k)

= 3i + 0j + 15tk

= 3i + 15tk

(c) To find r'(t) · r"(t), we take the dot product of r'(t) and r"(t):

r'(t) · r"(t) = (3ti - 3j + 15t²k) · (3i + 15tk)

= 9t - 45t²

(d) To find r'(t) x r"(t), we take the cross product of r'(t) and r"(t):

r'(t) x r"(t) = (3ti - 3j + 15t²k) x (3i + 15tk)

= -90t²i - 45tj - 9k

In summary, r'(t) = 3ti - 3j + 15t²k, r"(t) = 3i + 15tk, r'(t) · r"(t) = 9t - 45t², and r'(t) x r"(t) = -90t²i - 45tj - 9k.

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The greatest possible quotient of two distinct members of the set is 25.

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

We are given the set of numbers as :

2/5, 1/2, 5, 10

We must choose p as the biggest number from the set and q as the smallest number from the set in order to the greatest possible quotient .

Comparing the fractions we determine :

⇒ 2/5 = 0.4,

⇒ 1/2 = 0.5

So, the smallest number is 2/5

Select p = 10, q = 2/5

To determine the quotient.

So, p/q = 10/(2/5)

⇒ p/q = 10×5/2

⇒ p/q = 50/2

⇒ p/q = 25

Hence, the greatest possible quotient is 25 in the set.

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With Alpha set to .05, increasing the sample size would not directly reduce the probability of a Type I error. The probability of a Type I error is determined by the significance level (Alpha) and remains constant regardless of the sample size.

However, increasing the sample size can indirectly affect the probability of a Type I error by increasing the statistical power of the test. With a larger sample size, it becomes easier to detect a statistically significant difference between groups, reducing the likelihood of falsely rejecting the null hypothesis (Type I error).

Increasing the sample size generally decreases the probability of a Type II error, which is failing to reject a false null hypothesis. With a larger sample size, the test becomes more sensitive and has a higher likelihood of detecting a true effect if one exists, reducing the likelihood of a Type II error. However, it's important to note that other factors such as the effect size, variability, and statistical power also play a role in determining the probability of a Type II error.

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Answer:

~ 340

Step-by-step explanation:

A = pi * r^2

The big circle is r1 = 12cm so the small r2=6cm

A= A1 - A2 = (pi * r1^2)-( pi*r2^2) = 339,29 ~ 340 square cm

If the radius of the small circle is 12cm then: r1 = 24cm and r2 = 12cm and calculate it the same way

The measure of the larger angles in the rhombus is approximately 101.54 degrees.

The measure of the larger angles in a rhombus can be determined using the properties of rhombi. In a rhombus, opposite angles are congruent. This means that if we can find the measure of one angle, we can determine the measure of the larger angles by using the fact that opposite angles are equal.

To find the measure of one angle, we can use the longest diagonal and the side lengths of the rhombus. We know that the longest diagonal of the rhombus is 45 inches. The longest diagonal of a rhombus bisects the angles it connects. This means that it divides the rhombus into two congruent triangles.

Since the diagonals bisect the angles, we can find the measure of one angle in each triangle. To find the measure of an angle in a triangle, we can use the Law of Cosines. The Law of Cosines states that in a triangle with sides a, b, and c and angle C opposite side c, the following equation holds:

c² = a² + b²- 2ab×cos(C)

In our case, the sides of the triangle are the side length of the rhombus (30 inches) and the longest diagonal (45 inches). Let's denote the measure of one angle in each triangle as A and B.

Using the Law of Cosines, we have:

45² = 30² + 30² - 2×30×30×cos(A)
2025 = 900 + 900 - 1800×cos(A)
2025 = 1800 - 1800×cos(A)
1800cos(A) = 1800 - 2025
1800×cos(A) = -225
cos(A) = -225/1800
cos(A) = -1/8

Since cos(A) is negative, we know that angle A is an obtuse angle. To find the measure of angle A, we can take the inverse cosine of -1/8. Using a calculator, we find that: A ≈ 101.54 degrees Since opposite angles in a rhombus are congruent, the measure of angle B is also approximately 101.54 degrees. Therefore, the measure of the larger angles in the rhombus is approximately 101.54 degrees.

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Answer:

It would be D.

Step-by-step explanation:

You have to collect like terms which would involve the 5\(\sqrt{7}\) and -10\(\sqrt{7}\) and do the same for the other 2

(a)the body temperature of the 1601 lb man will increase by approximately 3.0 °C.(b)the body temperature of the 160 lb man will increase by approximately 2.4 °C.

The specific heat of a human is given as 3.47 J/°C. Using this information, we can calculate the increase in body temperature when a certain number of calories are converted into heat energy. In the first scenario, a 1601 lb man consumes a candy bar containing 287 Cal. In the second scenario, a 160 lb man consumes a roll of candy containing 41.9 Cal. We will calculate the increase in body temperature for each case.

(a) To calculate the increase in body temperature for a 1601 lb man who consumes a candy bar containing 287 Cal, we need to convert calories to joules. Since 1 Calorie (Cal) is equal to 4184 joules, we have:
Energy = 287 Cal × 4184 J/Cal = 1.2 × \(10^6\) J
Now, using the specific heat formula Q = mcΔT, where Q is the energy, m is the mass, c is the specific heat, and ΔT is the change in temperature, we can rearrange the formula to solve for ΔT:
ΔT = Q / (mc)
Assuming the mass of the man is converted to kilograms, we have:
ΔT = (1.2 × \(10^6\) J) / (1601 lb × 0.4536 kg/lb × 3.47 J/°C) ≈ 3.0 °C
Therefore, the body temperature of the 1601 lb man will increase by approximately 3.0 °C.
(b) For a 160 lb man who consumes a roll of candy containing 41.9 Cal, we repeat the same calculation:
Energy = 41.9 Cal × 4184 J/Cal = 1.75 × \(10^5\) J
ΔT = (1.75 × \(10^5\) J) / (160 lb × 0.4536 kg/lb × 3.47 J/°C) ≈ 2.4 °C
Thus, the body temperature of the 160 lb man will increase by approximately 2.4 °C.

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Answer:

3 hours

Step-by-step explanation:

Answer:

h = 6

Step-by-step explanation:

60*6 = 360

360+20 = 380 BD

Answer:

a) \(a_{n}\) = 13.8 + 0.2n

Step-by-step explanation:

Given :-

a = 14

d = 0.2

To Find :

\(a_{n}\)

Solving :-

\(a_{n}\) = a + (n - 1)d

\(a_{n}\) = 14 + 0.2n - 0.2

\(a_{n}\) = 0.2n + 13.8

Solution :-

a) \(a_{n}\) = 13.8 + 0.2n

Answer:

0.75 gal

Step-by-step explanation:

Example:To convert pints to gallons use the following steps:

Step 1:

Remember that:

1 pint = 0.125 gallons

Step 2:

Let's pretend you want to convert 10 pints to gallons. All you'd have to do is multiply the number of pints you have by 0.125 as follows:

10 pints x 0.125 gallons/pint

Helen needs 0.75 gallons of water for her lemonade and this can be determined by using the unitary method.

Given :

Helen needs 6 pints of water for her lemonade.

The following steps can be used in order to determine the total amount of water in gallons Helen needs for her lemonade:

Step 1 - The unitary method can be used in order to determine the total amount of water in gallons Helen needs for her lemonade.

Step 2 - Remember 1 pint is equal to 0.125 gallons.

Step 3 - If 1 pint is equal to 0.125 gallons then 6 pints is equal to:

\(=\dfrac{0.125}{1}\times 6\)

Step 4 - Simplify the above expression.

= 0.75 gallons

So, Helen needs 0.75 gallons of water for her lemonade.

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Answer:

but where is the questions?

The murder occurred 30 minutes before the CSI team's arrival.

To determine the time of death, we can use Newton's Law of Cooling, which states that the rate of change of temperature of an object is proportional to the difference between its current temperature and the surrounding temperature.

The formula for Newton's Law of Cooling is:

T(t) = T₀ + (T_s - T₀) * \(e^{-kt}\)

where:

T(t) is the temperature of the body at time t,

T₀ is the initial temperature of the body,

T_s is the temperature of the surroundings (room temperature),

k is the cooling constant,

and e is the base of the natural logarithm.

In this case, we have T₀ = 37 °C, T_s = 15 °C, and T(t) = 18 °C after 10 minutes.

We can rearrange the formula to solve for k:

k = -(1/t) * ln((T(t) - T₀)/(T_s - T₀))

Substituting the values into the equation:

k = -(1/10) * ln((18 - 37)/(15 - 37))

k = -(1/10) * ln(-19/-22)

k ≈ 0.03567

Now, we can solve for the time, t, when the body temperature was 37 °C:

37 = 15 + (23 - 15) * \(e^{0.03567t}\)

Simplifying the equation:

22 = 8 * e \(e^{0.03567t}\)

Dividing both sides by 8:

\(e^{0.03567t}\) = 22/8

\(e^{0.03567t}\) ≈ 2.75

Taking the natural logarithm of both sides:

-0.03567 * t ≈ ln(2.75)

Dividing both sides by -0.03567:

t ≈ ln(2.75) / -0.03567

t ≈ 30.197

Rounding to the nearest whole minute, the murder occurred approximately 30 minutes before the CSI team's arrival.

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Answer:

75

Step-by-step explanation:

trust me bro

Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.

What is the mean and standard deviation?

The standard deviation is a summary measure of the differences of each observation from the mean. If the differences themselves were added up, the positive would exactly balance the negative and so their sum would be zero. Consequently, the squares of the differences are added.

To test the claim about the population mean μ at the level of significance α, we can perform a one-sample t-test.

Given:

Claim: μ > 29 (right-tailed test)

α = 0.05

σ = 1.2 (population standard deviation)

Sample statistics: x = 29.3 (sample mean), n = 50 (sample size)

We can follow these steps to conduct the hypothesis test:

Step 1: Formulate the null and alternative hypotheses.

The null hypothesis (H₀): μ ≤ 29

The alternative hypothesis (Hₐ): μ > 29

Step 2: Determine the significance level.

The significance level α is given as 0.05. This represents the maximum probability of rejecting the null hypothesis when it is actually true.

Step 3: Calculate the test statistic.

For a one-sample t-test, the test statistic is given by:

t = (x - μ) / (σ / √(n))

In this case, x = 29.3, μ = 29, σ = 1.2, and n = 50. Plugging in the values, we get:

t = (29.3 - 29) / (1.2 / √(50))

= 0.3 / (1.2 / 7.07)

= 0.3 / 0.17

≈ 1.76

Step 4: Determine the critical value.

Since it is a right-tailed test, we need to find the critical value that corresponds to the given significance level α and the degrees of freedom (df = n - 1).

Looking up the critical value in a t-table with df = 49 and α = 0.05, we find the critical value to be approximately 1.684.

Step 5: Make a decision and interpret the results.

If the test statistic (t-value) is greater than the critical value, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.

In this case, the calculated t-value is approximately 1.76, which is greater than the critical value of 1.684. Therefore, we reject the null hypothesis.

hence, Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.

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Answer:

B

Step-by-step explanation:

If you Divide 60 by 2 you would get 30 but if you divide by four ill be 15 so for b ill be 2 and a will be 4

However, assuming there is a statement that involves the variable x, it would perform some operation or assign a value to x based on the specific syntax of the statement.

Without the statement provided, it is impossible to give a specific answer. Assuming the variable x has been the initialized to an integer value (e.g., x = 3), the following statement will perform an operation or action using the value of x. This could include mathematical operations, comparisons, or use within a loop or conditional statement. Without knowing the specific statement, I cannot provide a more detailed explanation of its function.

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The required sample size (total) to reject the claim of men in the age group 20-30 averaging the same height in inches in the U.S. and the Netherlands, assuming both populations have a population standard deviation of 4, would be 1456.

To calculate the required sample size, we need to use the formula for sample size calculation in two-sample t-tests, which takes into account the desired level of significance, power, effect size, and population standard deviation. In this case, we want to be 99% confident (i.e., 1% level of significance) and have 90% power, which corresponds to a z-value of 2.33 and a t-value of 1.645. The effect size is 0.5/4 = 0.125, and plugging these values into the formula, we get a required sample size of 1456. This means that if we take a sample of 728 men from each population and find a difference of 0.5 inches or more between their means, we can reject the claim with 99% confidence and 90% power.

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Utilizando trigonometría, veremos que la altura del arbol es 6m.

Podemos visualizar la situación como un triangulo rectangulo.

La altura del arbol será el cateto opuesto al angulo de 36.87°.

La distancia a la base del tronco, que es 8 metros, será el cateto adjacente a dicho angulo.

Entonces, podemos usar la relacion:

tan(θ) = (cateto opuesto)/(cateto adjacente).

Reemplazando lo que conocemos, y definiendo:

altura = cateto opuesto = H.

tendremos:

tan(36.87°) = H/8m

Resolviendo para H:

H = tan(36.87°)*8m = 6m

Así, concluimos que la altura del arbol es 6m.

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Answer:

multiply the total meal cost by .87 to get your answer

Step-by-step explanation:

Answer:

Espanol? or english?

Step-by-step explanation:

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Explanations:

Yes, if the mean weight of two groups of children is different with a p-value of 0.03, the difference is statistically significant. Typically, a p-value of less than 0.05 is considered statistically significant, indicating that the observed difference is unlikely to be due to chance alone.

Yes, if the p level is .03, then the difference in mean weight between the two groups of children is statistically significant. The p level that identifies statistical significance is generally considered to be .05 or less, meaning that there is a 5% or less chance that the difference observed is due to random chance rather than a true difference between the two groups. Therefore, a p level of .03 is below the commonly accepted threshold for statistical significance and suggests that the difference in mean weight is not likely due to chance alone.

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Answer:

268 in ^2

Step-by-step explanation:

SA=2lw+2lh+2hw

width = 4    lenth = 6     height = 11

2(6)(4) + 2(6)(11) + 2 (11)(4)

= 2 (24) + 2(66) + 2 (44)

= 48 + 132 + 88

= 268 in ^2

Answered by G a u t h m a t h

Part A: To find the total surface area of the rectangular prism, we need to calculate the areas of all six faces and then add them together.

Given dimensions:

Length = 7 feet

Width = 3 feet

Height = 4.8 feet

Surface Area of each face:

Front and back faces: Length * Height

= 7 feet * 4.8 feet

= 33.6 square feet

Top and bottom faces: Width * Length

= 3 feet * 7 feet

= 21 square feet

Side faces: Width * Height

= 3 feet * 4.8 feet

= 14.4 square feet

Total Surface Area:

2 * (Front and back faces) + 2 * (Top and bottom faces) + 2 * (Side faces)

= 2 * 33.6 square feet + 2 * 21 square feet + 2 * 14.4 square feet

= 67.2 square feet + 42 square feet + 28.8 square feet

= 137 square feet

Therefore, the total surface area of the bench is 137 square feet.

Part B: To calculate the cost of covering the bench with ceramic tiles, we need to multiply the total surface area by the cost per square foot.

Cost per square foot = $0.89

Total Surface Area = 137 square feet

Total cost to cover the bench:

= Cost per square foot * Total Surface Area

= $0.89 * 137 square feet

= $121.93

Therefore, it will cost $121.93 to cover the bench with ceramic tiles.