An angle measures 38° more than the measure of its complementary angle. What is the measure of each angle?

Answer:

maybe try not to

Step-by-step explanation:

Answer:

it would be 8

Step-by-step explanation:

Step-by-step explanation:

the area of a circle (all 360°) is

pi×r²

with r being the radius.

the area of a circle segment is just the corresponding fraction of the whole circle.

so the area of a segment of x degrees is

pi×r² × x/360

in our case we know

pi×42240² × x/360 = 180 mi²

we also know that there are 5280 ft in 1 mile.

so, the radius is actually

42240 / 5280 = 8 miles

and therefore our equation resulting in mi² has to use miles and not ft and has to look that way :

pi×8² × x/360 = 180 mi²

pi×64 × x/360 = 180

pi×64 × x = 180×360

pi×x = 180×360/64 = 1012.5

x = 1012.5/pi = 322.2887598...°

so, the angle of the segment of a circle with the area of 180 mi² and the radius of 8 mi is 322.2887598...°

Answer:

77.16

Step-by-step explanation:

y = .76(100) + 1.16

y = 76 + 1.16

y = 77.16

Answer:

A line of best fit (or "trend" line) is a straight line that best represents the data ... 2. a combination of graphing calculator and ... Can we predict the number of total calories based upon the total fat grams? ... If you are looking for values that fall within the plotted values, you are interpolating. ... y = 11.73128088x + 193.852147

Step-by-step explanation:

info

at the beginning of the 9th year, meaning at the end of the 8th year, or we can say 8 years later.

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$4600\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &8 \end{cases} \\\\\\ A = 4600[1+(0.03)(8)] \implies A = 4600(1.24) \implies A = 5704\)

The discrete-time representation of the system at T = 0.1 is given by the ratio of two polynomials, where the numerator and denominator coefficients are determined using the bilinear transform. The BIBO stability and stability nature (asymptotic or marginal) cannot be determined without the pole locations in the z-plane.

To obtain the discrete-time representation of the system at T = 0.1, we can use the bilinear transform method. The bilinear transform maps the s-domain to the z-domain using the equation: \(s = (2/T)((z-1)/(z+1))\).

First, let's apply the bilinear transform to the given transfer function G(s):

\(G(z) = G(s)|s=(2/T)((z-1)/(z+1))\)

Substituting the transfer function \(G(s) = (6s^3 + s^2 + 3s - 20)/(2s*4 + 7s^3 + 15s^2 + 16s + 10)\), we have:

\(G(z) = [(6((2/T)((z-1)/(z+1)))^3 + ((2/T)((z-1)/(z+1)))^2 + 3((2/T)((z-1)/(z+1))) - 20)] / [2((2/T)((z-1)/(z+1)))^4 + 7((2/T)((z-1)/(z+1)))^3 + 15((2/T)((z-1)/(z+1)))^2 + 16((2/T)((z-1)/(z+1))) + 10]\)

Simplifying the expression, we have:

\(G(z) = [(6(2/T)^3((z-1)^3/(z+1)^3) + (2/T)^2((z-1)^2/(z+1)^2) + 3(2/T)((z-1)/(z+1)) - 20] / [2(2/T)^4((z-1)^4/(z+1)^4) + 7(2/T)^4((z-1)^3/(z+1)^3) + 15(2/T)^2((z-1)^2/(z+1)^2) + 16(2/T)((z-1)/(z+1)) + 10]\)

Simplifying further, we obtain the discrete-time representation of the system:

\(G(z) = [c_0z^4+ c_1z^3+ c_2z^2 + c_3z + c_4] / [d_0z^4+ d_1z^3 + d_2z^2 + d_3z + d_4]\)

where:

\(c_0 = (6(2/T)^3 + 2(2/T)^2 + 3(2/T) - 20)\\c_1 = (-3(6(2/T)^3+ 2(2/T)^2) + 16(2/T))\\c_2 = (3(6(2/T)^3) - 15(2/T)^2)\\c_3 = (-6(2/T)^3 + 7(2/T)^3)\\c_4 = 2(2/T)^4\\d_0 = 2(2/T)^4\\d_1 = 7(2/T)^4 + 16(2/T)\\d_2 = 15(2/T)^2\\d_3 = -6(2/T)^2\\d4 = 10\)

Now, let's analyze the properties of the discrete system:

(i) BIBO Stability:

To determine if the discrete-time system is BIBO stable, we need to check if all the poles of the transfer function G(z) lie inside the unit circle in the z-plane. If all poles are inside the unit circle, the system is BIBO stable.

(ii) Asymptotic or Marginally Stable:

By analyzing the pole locations of the discrete system, we can determine if it is asymptotically stable (all poles inside the unit circle) or marginally stable (some poles on the unit circle).

(iii) Controllability:

The controllability of the discrete system can be assessed by examining the controllability matrix based on the system's state-space representation. Unfortunately, without the state-space representation, it is not possible to determine controllability.

(iv) Observability:

The observability of the discrete system can be determined by examining the observability matrix based on the system's state-space representation. However, without the state-space representation, it is not possible to determine observability.

To fully analyze the discrete system, we would need the state-space representation or further information. However, we can still determine the BIBO stability and stability nature (asymptotic or marginal) based on the pole locations in the z-plane.

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Answer:

A

Step-by-step explanation:

using the cosine ratio in the right triangle

cos? = \(\frac{adjacent}{hypotenuse}\) = \(\frac{17}{27}\) , then

? = \(cos^{-1}\) ( \(\frac{17}{27}\) ) ≈ 51° ( to the nearest degree )

Answer:

$0.65

Step-by-step explanation:

Jose bought 750 bags for $375.00

Each bag cost $375/750= $0.50  

He  intends to sells them for $0.15 more

He should charge : $0.5 +$0.15=$0.65

Answer:

cost of 750 bags =$375

cost of 1 bag = 375/75=5

he want 0.15 more for each

so he had to sell each bag in 5 +0.15=5.15

Step-by-step explanation:

Answer:

the second zookeeper

Step-by-step explanation:

__________________________________________________________

Hello! In this question, we are trying to solve the expression with a given value.

__________________________________________________________

Explanation:

In this question, we were given our f(x) equation: f(x) = x² - 3

We were also given the value of our variable "x": -3

To solve the expression, we would plug in our "x" value, -3, into the "x" variables in our expression and solve.

Solve:

f(x) = x² - 3

f(-3) = (-3)² - 3

= 9 - 3

= 6

Therefore, the value of f(-3) is 6.

__________________________________________________________

Answer:

f(-3) = 6

__________________________________________________________

To solve this problem, you will substitute an existing value into a function in order to find the y-coordinate at that x-coordinate.

Given the function f(x) = x² - 3, evaluate the function at f(-3) by substituting in x = -3:

\(f(-3) = -3^2-3\)

Use BPEMDAS, which stands for:

Brackets

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

First, evaluate -3².

\(-3\times-3=9\)

Then, evaluate the rest of the expression by subtracting 3 from 9:

\(9 - 3 = \boxed{6}\)

The final answer is f(-3) = 6.

Answer:r≈12.99

Step-by-step explanation:

We can use the formula of the circumference of the circle. Which is given by:

Circumference = 2 \pi r

where "r" represents radius of the circle and , pi = 3.14

Plug the given values

81.64 = 2* 3.14* r

81.64 = 6.28 r

Answer:

anong grade po yan mam/sir?

7po yan

Using the percentage of guests choose one option for their dinner , the number of guest chose meat as their dinner option are 455.

As given in the question,

Options given for dinner :

Meat, Fish and Vegetarian

Percent of guest having

Meat in dinner = 65%

Vegetarian = 5%

Number of guest chose fish =210

Percent of guest chose fish = 100 -(65 +5)

                                            = 30%

Let x be the total number of guest

30% of x = 210

⇒ (30/100) × x = 210

⇒ x= (210 ×100) / 30

⇒ x = 700

Therefore, using the percentage of guests choose one option for their dinner ,the number of guest chose meat as their dinner option are 455.

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Answer:

The pink one by 5 meters

a. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis. b. the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

a) Rachel's budget line equation can be written as follows:

Budget = (Price of Hamburger * Quantity of Hamburgers) + (Price of Figs * Quantity of Figs)

Since the price per hamburger is $3 and the price per bag of figs is $2, the equation becomes:

Budget = 3x + 2y

Where x represents the quantity of hamburgers and y represents the quantity of bags of figs. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis.

b) If the price of figs increases to $3, the new budget line equation becomes:

Budget = 3x + 3y

The graph of the new budget line would show a steeper slope compared to the original budget line. This indicates that the relative price of figs has increased, making them relatively more expensive compared to hamburgers.

c) In this scenario, Rachel has an income of $50, the price per hamburger is $3, the price per bag of figs is $3, and she receives an additional $10 in cash from a friend. The new budget line equation can be written as:

Budget = (3x + 3y) + 10

The graph of the new budget line would shift upward parallel to the original budget line. The additional cash from Rachel's friend increases her purchasing power, allowing her to afford more hamburgers and/or bags of figs.

d) Now, Rachel's friend gives her a gift basket containing 3 free bags of figs. In this case, the budget line equation remains the same as in part c:

Budget = (3x + 3y) + 10

However, since Rachel receives 3 free bags of figs, she can allocate more of her budget towards purchasing hamburgers. This would cause the budget line to rotate outward from the y-intercept, resulting in a flatter slope. The new budget line would reflect Rachel's ability to purchase more hamburgers with the same income and price of figs.

In summary, the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

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The number of outcomes in the complement of the given event is 89. There are 89 fictional books in the bookcase.

The complement of a given event is the set of all outcomes that are not included in the given event. In this case, the given event is the number of nonfictional books in a bookcase. The complement of this event would be the number of fictional books in the bookcase.

To find the number of outcomes in the complement of the given event, we can subtract the number of nonfictional books from the total number of books in the bookcase.
Number of outcomes in the complement of the given event = Total number of books - Number of nonfictional books
= 267 - 178
= 89
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Answer:

FS = 48

Step-by-step explanation:

The distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, so

FB = 2 BS = 2 × 16 = 32

Then

FS = FB + BS = 32 + 16 = 48

If she will randomly select a nickel coin from the bag, the probability of selecting nickel will be 1/6

Probability is the likelihood or chance that an event will occur. Mathematically;

Probability = Expected/Total

If the bag contains 8 quarters, 10 dimes, 4 nickels, and 2 pennies, the total outcome will be:

Total outcome = 8 + 10 + 4+ 2

Total outcome = 24coins

If she will randomly select a nickel coin from the bag, the probability of selecting nickel will be 4/24 = 1/6

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Answer: Cramer's rule is a method for solving systems of linear equations by using determinants. To use Cramer's rule, you first need to set up the system of equations in matrix form, like so:

[A][x] = [b]

where [A] is the coefficient matrix of the system, [x] is the vector of unknowns, and [b] is the vector of constants.

To apply Cramer's rule, you can solve for each unknown in [x] by calculating the determinants of a series of matrices that are formed by replacing one column of [A] at a time with the constants in [b]. Specifically, the solution for the ith unknown is given by:

xi = det([A]i) / det([A])

where [A]i is the matrix formed by replacing the ith column of [A] with the constants in [b], and det([A]) is the determinant of the original matrix [A].

To calculate the determinants, you can use any method you prefer, such as row reduction or cofactor expansion. Note that Cramer's rule only works for systems of linear equations with the same number of equations as unknowns, and it can be computationally expensive for large systems.

Step-by-step explanation:

Answer: The measure of ∠SQR= 80.9°

Step-by-step explanation:

Given: In triangle QRS,

∠ RSQ = 29.1° and ∠QRS=70°

To find: ∠SQR

Angles sum property of triangle = Sum of all the angles in a triangle is 180°.

For Δ QRS,

∠SQR + ∠ RSQ +∠QRS = 180°

⇒ ∠SQR + 29.1° + 70° = 180°

⇒ ∠SQR + 99.1° = 180°

⇒ ∠SQR= 180°-99.1

⇒ ∠SQR= 80.9°

Hence, the measure of ∠SQR= 80.9°

200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.

Forecasted values are as follows: 1,500 and 1,400

Values in actuality: 1,200 and 1,500

Absolute differences:

|1,500 - 1,200| = 300

|1,400 - 1,500| = 100

Now, we calculate the MAD:

MAD = (300 + 100) / 2 = 400 / 2 = 200

Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

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The problem states that the loss random variable follows a normal distribution. We are given that the probability that the loss is less than 1000 is 0.85, and the probability that the loss is less than 2000 is 0.95.

To find the probability that the loss is less than 500, we need to use the properties of the normal distribution and the given information.
From the given probabilities, we can deduce the z-scores corresponding to each value:
The z-score corresponding to a probability of 0.85 is 1.0364 (using a standard normal distribution table).
The z-score corresponding to a probability of 0.95 is 1.6449.
Now, we can use the z-score formula to calculate the z-score for the value 500:
z = (X - μ) / σ,
where X is the value, μ is the mean, and σ is the standard deviation.
We don't have the mean and standard deviation, so we need to find them using the z-scores we have:
From the z-score of 1.0364, we know that the loss of 1000 corresponds to X = μ + 1.0364σ.
From the z-score of 1.6449, we know that the loss of 2000 corresponds to X = μ + 1.6449σ.
Now we can set up two equations:
1000 = μ + 1.0364σ,
2000 = μ + 1.6449σ.
Solving these equations simultaneously will give us the values of μ and σ.
Once we have the values of μ and σ, we can calculate the z-score for the value 500:
z = (500 - μ) / σ.
Finally, we can find the probability that the loss is less than 500 using the z-score calculated in step 6.
In order to calculate the probability that the loss is less than 500, we need to find the mean (μ) and standard deviation (σ) of the normal distribution.

To do this, we use the given probabilities and z-scores. After finding the mean and standard deviation, we can calculate the z-score for 500 and use it to find the corresponding probability.

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Answer:

The answer is 615.75in .

Answer:

A≈615.75in²

Step-by-step explanation:

A=πr2=π·142≈615.75216in²

Please give brainliest i beg u i need it

Answer:

no LLLLLLLLLLLLLL

Answer:

9 4/5

Step-by-step explanation:

Answer: 9.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Probability of P.B.J. : milk : cookie being picked is; 1:12

Twelve possible combos one is P.B.J. : milk : cookie

Answer:

xxx 20

Step-by-step explanation: