Please help, trigonometry 9th grade
tysm

Answer:

yes

Step-by-step explanation:

This is correct because 0.1 or 0.10 is greater than 0.03

Answer:

\(\huge\boxed{\sf D = 59 cm}\)

Step-by-step explanation:

Radius = 29.5 cm

We know that

Diameter = 2(Radius)

D = 2(29.5)

D = 59 cm

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

48 dimes and 62 quarters

Step-by-step explanation:

Therefore , the solution of the given problem of angles comes out to be Greeks failed to demonstrate that tripling a square with only a straight edge and compass was also unachievable.

The highest and lowest walls of a skew are used to split the curved lines that make up its ends using Cartesian measurements. A collision between two poles at an intersection is a potential. Angle is another outcome of two things interacting. They resemble dihedral forms the most closely. A two-dimensional curve can be created by placing two line beams in various configurations between their ends.

Here,

The Greeks were unable to trisect a line section using only a straight edge and compass.

The Greeks proved that using only a straight edge and compass, it is impossible to trisect any angle or double a cube.

The Greeks failed to demonstrate that tripling a square with only a straight edge and compass was also unachievable.

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Answer:

18. Aileen

19. Edward

20. 25 seconds

21. 40 seconds

22. 55 seconds or 3 minutes, 20 seconds - 4 minutes, 15 seconds

Step-by-step explanation:

Hello! Alright, let's start breaking down the answers one by one!

18.

To begin with 18, we just have to simply compare everyone's time to the actual time! (3 minutes and 46 seconds). To make this easier for us, we should convert everyone's time into the form of minutes/seconds. So it would be:

As you can compare here, the closest person here would be Aileen being 4 seconds off from the actual time.

19.

Based off of what we did in 18, we can use that chart to compare, we just have to find the time differences to see who is more off from the actual time and that would be:

Here in this case, Edward's estimate would be the farthest away with +29 seconds.

20.

To calculate the time difference between these two, we simply just take the data from 18 and compare Aileen and Edward. In this case, it would be a difference of 25 seconds.

21.

Again, we take a look at Alejandra and Chris's estimate and compare the time difference. In this case, it would be 40 seconds.

22.

Finally, to figure out the range, we essentially just need to figure out the time difference between the lowest time and the highest time estimated. So that would be Chris's time (3 minutes, 20 seconds) and Edward's time (4 minutes, 15 seconds) and that would be 55 seconds.

Hello!

x² - 5x + 6

= (x² - 2x) + (-3x + 6)

= x(x - 2) - 3(x - 2)

= (x - 2)(x - 3)

Answer:

6.8333333333 or 41/6

Step-by-step explanation:

Answer:

\(10x + y \\ 10(10) + 3 \\ 100 + 3 = 103\)

I hope I helped you^_^

From the given graph, it is seen that f(x) is not defined for x<-4. The function g(x) is not defined for x>2

But the function p(x) represents a straight line which is defined for all real x.

Hence, the function p(x) has all real numbers as its domain.

Thus, the correct option is (D)

Step-by-step explanation:

We need to solve the given quadratic equations.

1.

\(x^2=-5x+2\\\\x^2+5x-2=0\)

Using the formula to find solutions.

We have, a = 1, b = 5 and c = -2

So,

\(x=\dfrac{-5\pm \sqrt{5^2-4(1)(-2)} }{2}\\\\x=0.37,-5.37\)

2.

\(x^2+4x+17=8-2x\\\\x^2+4x+17-8+2x=0\\\\x^2+6x+9=0\)

We have,

a = 1, b = 6 and c = 9

\(x=\dfrac{-6\pm \sqrt{6^2-4(1)(9)} }{2}\\\\x=-3,-3\)

Hence, this is the required solution.

If the water snake is initially 30 meters below the ground level and then climbs 20 meters upward, it will be 30 - 20 = 10 meters below the ground level. However, if it then slips down 10 meters, it will be 10 + 10 = 20 meters below the ground level.

Each number should be dragged to a box to complete the table as follows;

Kilometers     Meters

1                        1,000

2                       2,000

3                       3,000

5                       5,000

8                       8,000

In Science and Mathematics, a conversion factor can be defined as a number that is used to convert a number in one set of units to another, either by dividing or multiplying.

Generally speaking, there are one (1) kilometer in one thousand (1,000) meters. This ultimately implies that, a proportion or ratio for the conversion of kilometer to meters would be written as follows;

Conversion:

1 kilometer = 1,000 meters

2 kilometer = 2,000 meters

3 kilometer = 3,000 meters

4 kilometer = 4,000 meters

5 kilometer = 5,000 meters

6 kilometer = 6,000 meters

7 kilometer = 7,000 meters

8 kilometer = 8,000 meters

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The functions f and g are:

a. f(x) = 1/x

b. g(x) = x + 2

a) To find two functions f and g such that (fog)(x) = 1/(x + 2), we need to determine how the composition of the two functions f and g produces the given expression.

Let's start by assuming g(x) = x + a, where a is a constant. This means that g(x) adds the constant a to the input x.

Next, let's determine the function f(x) such that (fog)(x) results in the desired expression. We have:

(fog)(x) = f(g(x)) = f(x + a)

b) To simplify the expression 1/(x + 2) and make it match f(g(x)), we can consider f(x) = 1/x.

Substituting the expressions for f(x) and g(x) into (fog)(x), we have:

(fog)(x) = f(g(x)) = f(x + a) = 1/(x + a)

Comparing this with the desired expression 1/(x + 2), we see that a = 2. Therefore, the functions f and g are:

a. f(x) = 1/x

b. g(x) = x + 2

Using these functions, we can verify the composition (fog)(x):

(fog)(x) = f(g(x)) = f(x + 2) = 1/(x + 2)

Thus, (fog)(x) = 1/(x + 2), which matches the desired expression.

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The probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

To find the probability that a student got an 'A' given they are male, we need to use Bayes' theorem:

P(A | Male) = P(Male | A) × P(A) / P(Male)

We can find the values of the terms in the formula using the information given in the table:

P(Male) = (25/54) = 0.46 (the proportion of all students who are male)

P(A) = (17/54) = 0.31 (the proportion of all students who got an 'A')

P(Male | A) = (3/17) = 0.18 (the proportion of all students who are male and got an 'A')

Therefore, plugging these values into the formula:

P(A | Male) = 0.18 × 0.31 / 0.46

P(A | Male) ≈ 0.12

So the probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

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Answer:

iii is the correct answer (the third one)

Step-by-step explanation:

additive inverse is the same as the reciprocal

It is when the denominator and numerator are swapped around

So the inverse of 3/9 is 9/3

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Answer:

$7.15k

Step-by-step explanation:

So the first week, she used $2.75k

Then, you can calculate the amount for one pound the next week by doing 0.8 * 2.75 = 2.2

So the second week she used 2 * 2.2 * k = $4.4k

$4.4k + $2.75k = $7.15k

Might be wrong so check it.

The given equations represent the solutions of 0 = 0.25x² - 8x

An equation is a mathematical statement that shows the equality of two expressions, typically separated by an equal sign. Equations are used to solve problems and model real-world situations in many fields, including physics, engineering, and finance.

Redirecting to answer:

The equation 0 = 0.25x² - 8x can be rewritten as:

0.25x² - 8x = 0

Factoring out x gives:

x(0.25x - 8) = 0

So the solutions are x = 0 and 0.25x - 8 = 0, which gives x = 32.

Therefore, none of the given equations represent the solutions of 0 = 0.25x² - 8x

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The solution is: equation of the parabola is:

y = 0.1(x + 5)² + 1.5

Equation of a parabola having vertex at (h, k) is given by,

y = a(x - h)² + k

From the given graph, vertex of the parabola is (-5, 1.5)

Therefore, equation of the parabola will be,

y = a(x + 5)² + 1.5

Since, this parabola passes through a point (0, 4)

4 = a(0 + 5)² + 1.5

4 = 25a + 1.5

25a = 2.5

a = 0.1

By substituting the value of 'a' in the equation of the parabola,

y = 0.1(x + 5)² + 1.5

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complete question:

Write an equation of the parabola shown.

Answer:

???

Step-by-step explanation:

The mean of the normal distribution is 0.6, and two standard deviations away on each side are:

Mean - 2 * Standard deviation = 0.6 - 2 * 0.051 = 0.498

Mean + 2 * Standard deviation = 0.6 + 2 * 0.051 = 0.702

A probability distribution is a function that describes the likelihood of different outcomes or events in a particular scenario. It is often used in statistics and probability theory to analyze and model random phenomena. A probability distribution can be represented in various forms, including graphs, charts, and mathematical equations. The most common types of probability distributions are the normal distribution, binomial distribution, Poisson distribution, and exponential distribution.

Given that the probability distribution for the proportion of green newts in the sample can be modeled by the normal distribution. We know that the normal distribution is characterized by its mean and standard deviation.

Since we have a large sample size of 133 newts, we can use the central limit theorem to approximate the distribution of the sample proportion of green newts to be normal with a mean of 0.6 (the population proportion) and a standard deviation of:

sqrt((0.6 * 0.4) / 133) = 0.051

Therefore, the mean of the normal distribution is 0.6, and two standard deviations away on each side are:

Mean - 2 * Standard deviation = 0.6 - 2 * 0.051 = 0.498

Mean + 2 * Standard deviation = 0.6 + 2 * 0.051 = 0.702

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The point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0.

To graph the equation 2x + 3y = 6, we can rewrite it in the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.

Starting with the given equation, we isolate y to one side:

3y = -2x + 6

y = (-2/3)x + 2

Now, we have the equation in slope-intercept form, y = (-2/3)x + 2. The slope is -2/3, and the y-intercept is (0, 2).

To find the point where the graph intersects the x-axis, we need to determine the coordinates where y is equal to zero. This occurs when the line crosses the x-axis.

Setting y = 0 in the equation, we have:

0 = (-2/3)x + 2

(-2/3)x = -2

x = (-2)(-3/2) = 3

Therefore, the point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0, indicating the point of intersection with the x-axis on the graph.

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\(A \cup B = \{2,4,5,7,8, 9\}\)

Answer:

2,4,5,7,8,9 [final answer]

Step-by-step explanation:

Given that,

→ A = {2,4,5}

→ B = {5,7,8,9}

The union of two sets A and B is a set that contains all elements of A and B.

→ A∪B = {2,4,5,7,8,9}

The answer is 2,4,5,7,8,9.

The correct answer is (C) \(\angle B \cong \angle C.\) when In the diagram below of circle O, chords AD and BC intersect at E.

What is a circle ?

A circle is a two-dimensional geometric shape that consists of all the points in a plane that are at a fixed distance from a given point, called the center.

In the given diagram, we have a circle O with chords AB, CD, AD, and BC. The chords AD and BC intersect at point E.

Based on the diagram, we can see that the opposite angles in the quadrilateral AEDC are supplementary (i.e., they add up to 180 degrees). Therefore, we have:

\(\angle A + \angle C = 180^\circ\)

Similarly, the opposite angles in the quadrilateral BEFC are supplementary. Thus,

\(\angle B + \angle C = 180^\circ\)

We can rewrite the second equation as:

\(\angle C = 180^\circ - \angle B\)

Substituting this value of \angle C into the first equation, we get:

\(\angle A + 180^\circ - \angle B = 180^\circ\)

Simplifying, we get:

\(\angle A = \angle B\)

Therefore, the correct answer is (C) \(\angle B \cong \angle C.\)

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Answer:

The beam of light is moving along the shoreline at a velocity of approximately 196 kilometers per second.

Step-by-step explanation:

The statement is described geometrically in the image attached below by means of a right triangle. All variables are described below:

\(OP\) - Minimum distance between lighthouse and the straight shoreline, in kilometers.

\(PP'\) - Distance along the straight shoreline, in kilometers.

\(\theta\) - Angle of rotation of the lighthouse, in sexagesimal degrees.

To find the rate of change of distance along the straight shoreline (\(\frac{dPP'}{dt}\)), in kilometers per minute, we use the following trigonometric relationship:

\(PP' = OP \cdot \tan \theta\) (1)

Then, we differentiate this expression in time:

\(\frac{dPP'}{dt} = OP\cdot \dot \theta \cdot \sec^{2}\theta\) (2)

Where \(\dot \theta\) is the rate of change of the angle of rotation of the lighthouse, in radians per minute.

The angle at the given instant is calculated by (1): \(OP = 5\,km\), \(PP' = 1\,km\)

\(\theta = \tan^{-1} \left(\frac{PP'}{OP} \right)\)

\(\theta \approx 11.310^{\circ}\)

If we know that \(\dot \theta = 37.699\,\frac{rad}{min}\), \(\theta \approx 11.310^{\circ}\) and \(OP = 5\,km\), then the rate of change is:

\(\frac{dPP'}{dt} \approx 196,035\,\frac{km}{min}\)

The beam of light is moving along the shoreline at a velocity of approximately 196 kilometers per second.

Answer:

0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.

Step-by-step explanation:

What is the probability that an attendee sits in on the information technology session or the social media session?

They cant be in both sections simultaneously, so this probability is the sum of each probability.

0.11 = 11% probability that an attendee sits in on the information technology session

0.62 = 62% probability that an attendee sits in on the social media session

0.11 + 0.62 = 0.73

0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.

Answer:

4 2/3 mph

Step-by-step explanation:

A boat travels 15 miles upstream and 19 miles downstream.

If the boat travels 8 mph in still water, find the speed of the current if the total trip takes 6 hours.

Let c = the speed of the current

then

(8+c) = effective speed downstream

and

(8-c) = effective speed upstream

Write a time equation: time = dist/speed

Upstream time + downstream time = 6 hrs

\(\frac{15}{8-c} +\frac{19}{8+c}=6\)

120+15c+152-19c=384-6c²

6c²-4c-112=0

c=4 2/3

Therefore , the solution of the given problem of linear equation comes out to be the numbers are -2 and 14.

The equation y=mx+b is the basis of a linear regression model. The y-intercept is m, and the slope is B. Although y and x are different elements, the previous sentence is frequently alluded to as a "maths problem with two variables. In bivariate linear equations, there are only two variables. The solutions of the application domains of linear equations are always zero.

Here,

Let x and y be the first and second numbers, respectively. The information provided lets us know that:

=> 3x + 2y = 22

Additionally, we are aware that the two numbers add up to 9, therefore

=> x + y = 9

We can employ a strategy like substitution to discover the values for x and y. One equation with one variable can be solved, and the solution can then be used as an expression in the other equation.

The first equation for y can be solved as follows:

=> y = (22 - 3x)/2

After that, change y in the second equation to the following expression:

=> x + (22 - 3x)/2 = 9

When we simplify and find x, we obtain:

=> 2x + 22 = 18

=> x = -2

Knowing that x = -2, we may re-apply it to the initial equation to determine the y :

=> y =28/2 =14.

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Answer:

∠1 = 110

Step-by-step explanation:

Vertically Opposite angles, means that when you have two parrallel lines,  The angles opposite of each other are equal. So 4 = 2 on the bottom line.

This means angle 1 is equal to it's opposite angle, 110'.

Answer:

110 degrees

Step-by-step explanation:

Since completing the known angle is 70 degrees, angle 1 must be 70 degrees. It is also adjacent to 110, which means it equals the same.