Solve for x.

Trigonometry
explain how you got your answer please

Answer:

B

Step-by-step explanation:

Answer:

I think It's b or a

Step-by-step explanation:

did this like 4 weeks ago.

The length of AB is 4.6 inches.

An arc is a part of a circle i.e. an incomplete circle. It can be either a major arc or a minor arc of a given circle.

The length of an arc can be determined by;

length of an arc = (θ/ 360)*2πr

Where r is the radius of the circle, and θ is the measure of its central angle.

In the given diagram, the arc AB is a minor arc. So that;

AB = (θ/ 360)*2πr

r = d/2

 = 22/2

r = 11 inches

AB = (24/ 360)*2*3.14*11

     = 4.6053

AB = 4.6 inches

The length of arc AB is 4.6 inches.

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Answer:

< QPR = 36

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

< QPR = 1/2 ( 72)

< QPR = 36

There are 3024 possible arrangements of 4 items selected from a total of 9 with replacement.

It is required to find the number of permutations when 4 things are selected from a total of 9 with replacement.

Use the formula for permutations with replacement, which is:

= [tex]^np_r[/tex]

Here n is the total number of items and r is the number of selections.

As per the question, n = 9 and r = 4.

So, the number of permutations is:

= ⁹p₄

= 9!/5!

= 9 x 8 x 7 x 6

= 3024

Thus, there are 3024 possible arrangements of 4 items selected from a total of 9 with replacement.

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The value of the term a5 is 39

From the question, we have the following parameters that can be used in our computation:

{3, 12, 21, 30, 39, 48, 57}

The expression a5 means the 5th term of the sequence

In {3, 12, 21, 30, 39, 48, 57} , the fifth eterm is 39

Hence, a5 = 39

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Answer:

Step-by-step explanation:

7x+2.50y=600

If the two angles are complementary, then their sum is 90 degrees.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

If the two angles are complementary, then their sum is 90 degrees.

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1. When people find themselves in an unfamiliar environment, it is common to feel vulnerable, lonely, and uncertain.

2. Globalization can change the mix of customers and products for an organization by creating new markets and opportunities for growth.

3. You can improve your GQ by practicing mindfulness and meditation

Businesses may need to concentrate on creating new goods and services that appeal to a global market as well as modifying their business models to satisfy the needs of clients in various regions of the world if they want to be leaders in the organization's future state.

In order for them to be more adaptable and receptive to changes in the global marketplace, they might also need to invest in technology and tactics.

Globalization can significantly impact an organization's mix of customers and products. The organization must adapt to this by investing in research and development to create new products.

By applying mindfulness, the GQ can be adequately raised for the organization.

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We would expect the spinners to land on the same number approximately 2 times in 10 spins.

Based on the given probabilities, we know that the probability of the red spinner and blue spinner landing on the same number is 21%, and the probability of them landing on different numbers is 79%. We can use this information to calculate the expected number of times the spinners would land on the same number in 10 spins.

If we assume that the probability of the spinners landing on the same number is constant across all 10 spins, then we can model the number of times they land on the same number as a binomial distribution with n=10 (number of trials) and p=0.21 (probability of success).

Using the formula for expected value of a binomial distribution, we can calculate the expected number of times the spinners would land on the same number in 10 spins as:

E(X) = np = 100.21 = 2.1

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Complete question is:

The outcome of spinning 2 spinners 100 times is shown as.

Events                                            Actual outcomes                  Probability

P(red spinner = blue spinner)                  21                                            21%

P(not red spinner = blue spinner)          79                                            79%

How many times would you expect these spinners to land on the same number in 10 spins?

Correct option is,

A: number of cars; money raised; 30 to 100 cars; $600 to $2000 is the right option.

Since, An independent variable is a variable that represents a quantity that is being controlled  in an experiment.

A dependent variable represents a quantity whose value depends on how the independent variable is controlled.

Now, In the given question;

The number of cars represents the independent variable while money raised represents independent variable .

Domain is the set of values the independent variable can take .

The number of cars 30 to 100 represents the Domain.

The range is corresponding y values .

The charge per car is $20.

Hence, Range = 30 x 20

                       =600

to Range = 100 x 20

              = 2000.

Thus, Correct option is,

A: number of cars; money raised; 30 to 100 cars; $600 to $2000 is the right option.

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Complete question is,

The French club is holding a car wash fundraiser. They are going to charge $20 per car, and expect between 30 and 100 cars. Identify the independent and dependent quantity in the situation, and find reasonable domain and range values.

A: number of cars; money raised; 30 to 100 cars; $600 to $2000

B: money raised; number of cars; 30 to 100 cars; $600 to $2000

C: number of cars; money raised; $600 to $2000; 30 to 100 cars

D: money raised; number of cars; $600 to $2000; 30 to 100 cars

Answer:

660,430 gallons AKA 2499.9995045071 kilograms

you would proably round it to 2500 kilograms

Step-by-step explanation:

looked it up, had the same measurements as you gave

The probability of getting two numbers whose sum is greater than 9 = 5/36

We know that the probability is nothing but the number of favourable outcomes divided by the total number of outcomes.

Here, a single die is rolled twice.

and we get the set of 36 equally likely outcomes.

so, the total number of outcomes n(S) = 36

Let us assume that event A: getting two numbers whose sum is greater than 9

A = {(4, 6), (5,5), (5, 6), (6, 4), (6, 5)}

n(A) = 5

Using above formula of probability,

P(A) = n(A)/n(S)

P(A) = 5/36

Thus the required probability = 5/36

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The solutions for the inequality, in order from smallest to largest, are:

-7, -4, -2, 0, 0.9, 0.99, 0.999, 1

Here we have the inequality:

y ≤ 1

All the values that make the inequality true are the values equal or smaller than 1.

So we just need to list these in order from smaller to larger.

The correct order will be:

-7, -4, -2, 0, 0.9, 0.99, 0.999, 1

These are the solutions in order.

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Answer:

D There is not enough information to know if any of these is true.

Based purely on the facts provided, we cannot draw any judgements regarding the relative performance of the two classes. The range and median are important indices of central tendency and dispersion, but they do not offer an accurate picture of the score distribution. We don't know the distribution's form, the number of students in each class, or each student's exact score. As a result, we can't tell whether class received the lowest or highest score, or whether one class performed better overall than the other.

The area of the forest after 11 years will be 298 km².

To calculate the area of the forest after 11 years, we need to decrease the initial area of 1700 km² by 7.5% each year for 11 years.

First, let's calculate the decrease in area for one year:

Decrease in area for one year = 7.5% of 1700 km²

7.5% of 1700 km² = (7.5/100) × 1700 km²

= 127.5 km²

Now, we can calculate the total decrease in area over 11 years:

Total decrease in area over 11 years = 11 × 127.5 km² = 1402.5 km²

Finally, we can subtract the total decrease in area from the initial area to get the area of the forest after 11 years;

Area of the forest after 11 years = Initial area - Total decrease in area

= 1700 km² - 1402.5 km²

= 297.5 km²

Therefore, Rounding to the nearest square kilometer, the area of the forest after 11 years will be approximately 298 km².

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The data presented shows the growth of the Javanese gibbon population on three different islands over time.

Data trends must be analyzed to determine the type of function that is modeling population growth. A common way to do this is to plot the data points and observe the shape of the curve. However, since the table only contains data, you can analyze trends by looking at the differences between consecutive terms.

To do this, we can calculate the first difference and the second difference in the population data.

The first difference:

- Swing: 40 - 30 = 10, 50 - 40 = 10, 60 - 50 = 10

Example: 60 - 50 = 10, 75 - 60 = 15, 90 - 75 = 15

- Salavati: 80 - 60 = 20, 100 - 80 = 20, 120 - 100 = 20

The second difference:

- Batanta: 10 - 10 = 0, 10 - 10 = 0

- Example: 15 - 10 = 5, 15 - 15 = 0

- Salavati: 20 - 20 = 0, 20 - 20 = 0

The first difference is constant for each island and shows a linear relationship between time and population growth. Also, the second difference is zero, indicating a constant rate of change.

Therefore, we can conclude that the population growth modeling function is a linear function that can be written as

M(x) = mx + b

where x is the time in years, m is the slope (population growth rate), and b is the y-intercept (initial population).

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More scores were in the interval 75-79 than any other interval

a. Class Interval Frequency

70-74    8

75-79    16

80-84    12

85-89     4

b. The % more than 84 = 4/40 x 100

=10%/

c. The % less than 75 = 8/40 x 100

= 20%

d. More scores were in the interval 75-79 than any other interval

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The radius of the circle is 35.98 in, the diameter is 71.96 in. and the area of the circle is 4066.98 sq. in.

Here, the circumference of circle is C=226.08 in

We know that the formula for the circumference of circle is C = 2πr

Using this formula we find the value of radius 'r',

C = 2πr

226.08 = 2πr

r = 226.08 / 2π

r = 35.98 in

And the diameter of the circle would be,

d = 2r

d = 2 × 35.98

d = 71.96 in.

And the area of the circle would be,

A = π × r²                                                                  

A = π × 35.98²

A = 4066.98 sq. in.

Therefore, the required area is  4066.98 sq. in.

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The complete question is:

Solve for radius and diameter then what is the area of the circle if the circumference of circle is C=226.08 in.

[tex]\large \boxed{\mathrm{10}}[/tex]

The constant function p has a fixed output of one billion, while the exponential function q has a base of two and an output of 10. As the input increases by one, the output of q doubles. For example, q(3) = 20 and q(4) = 40. The rate of growth of q is much faster than p. In fact, q will eventually surpass p for large enough inputs. This demonstrates the power of exponential growth and highlights the importance of understanding the functions used in equations and models.

Answer:

10 or 1b

Step-by-step explanation:

Answer:

Step-by-step explanation:

down 1

compress 1/2

Check the picture below.

so let's recall that the area of a circle is just πr² where r = radius, so since the sizes of each pizza are 10, 14, 18 and 22, that's simply their diameter, so that means they each have a radius half of that, or namely 5, 7, 9 and 11, as you see in the picture, so, hmmm which radius gives us the most area per the fraction provided, namely per slices provided?

[tex]\cfrac{4}{8}\pi 5^2\implies \cfrac{25\pi }{2} ~~ \approx ~~ 39.26~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{8}\pi 7^2\implies \cfrac{147\pi }{8} ~~ \approx ~~ 57.73~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{2}{8}\pi 9^2\implies \cfrac{81\pi }{4}~~ \approx ~~ 63.62~in^2 ~~ \textit{\LARGE \checkmark} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{8}\pi 11^2\implies \cfrac{121\pi }{8}~~ \approx ~~ 47.52~in^2[/tex]

Answer: Large

Step-by-step explanation:  Hope it helps Good luck!!!

Diameter is the segment whose end points are on the circle and passing through the center of the circle.

Given a statement.

We have to find the term defined for the statement.

Given a circle.

The end points of the circle are on the circle.

Any line segment whose end points are on the circle is defined as the chord.

If a chord passes through the center of the circle, then it is called the diameter.

Hence the correct term is diameter.

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Your question is incomplete. The complete question must be probably the on as given below.

Identify the term.

A _____ is a segment whose end points are on the circle and passing through the center of the circle.

Answer:

There are 10 1/4 cups of water that fit inside a 2 1/2 cup water bottle.

To see why, note that 2 1/2 cups is equivalent to 10 quarter cups (2 x 4 = 8 and 8 + 2 = 10). Therefore, you can fill the water bottle with 10 1/4 cups of water.

The area of the base of the cylinder is 78.54 ft² and height of the cylinder is  6.31 ft.

To find the area of the base of the cylinder, we can use the formula:

A = πr²

Substituting the given value of radius, we get:

A = π(5 ft)²

A = 78.54 ft²

Therefore, the area of the base of the cylinder is 78.54 ft².

b. To find the height of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Substituting the given values of volume and radius, we get:

157.08 ft³ = π(5 ft)²h

Simplifying, we get:

h = 157.08 ft³ / (π(5 ft)²)

h = 6.31 ft

Therefore, the height of the cylinder is approximately 6.31 ft.

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The number line that shows the inequality x < 6 is given by the following option:

Option D.

The four inequality symbols, along with their meaning on the number line and the coordinate plane, are presented as follows:

The inequality for this problem is given as follows:

x < 6.

Which is composed by the numbers to the left of x = 6, with an open circle, due to the open interval.

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The probability that both events occur is 0.06.

The probability that both events occur is calculated as follows;

P(A and B) = P(A) x P(B)

The probability of event A is;

P(A) = number of outcomes / total number of outcomes

P(A) = 2/6

P(A) = 1/3

The probability of event B is;

P(B) = number of outcomes / total number of outcomes

P(B) = 1/6

The probability of both events is;

P(A and B) = P(A) x P(B)

P(A and B) = (1/3) x (1/6)

P(A and B) = 1/18 = 0.06

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The segment lengths on the right triangle are given as follows:

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

The sum of the internal angle measures of a triangle is of 180º, hence the missing angle is given as follows:

m < L = 180 - (30 + 60)

m < L = 90º.

Hence the segment JL represents the hypotenuse of the figure.

JL is opposite to the angle K, hence it's length is obtained as follows:

sin(30º) = JL/26

1/2 = JL/26

2JL = 26

JL = 13.

Segment KL is adjacent to the angle of 30º, hence it's length is obtained as follows:

cos(30º) = KL/26

[tex]\frac{\sqrt{3}}{2} = \frac{KL}{26}[/tex]

[tex]2KL = 26\sqrt{3}[/tex]

[tex]KL = 13\sqrt{3}[/tex]

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Here are five combinations of nickels and dimes that add up to 80 cents:

4 dimes and 4 nickels

3 dimes and 7 nickels

2 dimes and 12 nickels

1 dime and 16 nickels

8 dimes and 4 nickels

Answer: 12.6

Step-by-step explanation:

150/360*2*pi*r=10.

divide to get r alone

The jet can fly a distance of 192,000 miles in a day, assuming it can maintain a speed of 8 x 10³ miles per hour for 24 hours.

There are 24 hours in a day, so the distance the jet can fly in a day is:

Distance = Speed x Time

where Time is the duration of the flight.

If we assume that the jet can fly continuously for 24 hours without refueling or stopping, then the time of the flight is 24 hours.

Therefore, we have:

Distance = Speed x Time

=8 x 10³ miles/hour x (24 hours)

= 192,000 miles

Therefore, the jet can fly a distance of 192,000 miles in a day, assuming it can maintain a speed of 8 x 10³ miles per hour for 24 hours.

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