Analytically show that the equations below represent trigonometric identity statements. 1. sec²θ (1-cos²θ) 2. cosx(secx-cosx) = sin²x 3. cosθ + sinθtanθ = secθ 4. (1- cos∝)(cosec∝+cot∝)= cos∝ tan∝

Answer:

FG = 2

Step-by-step explanation:

FG = EG - EF

FG = 20 - 18 = 2

Answer:

The answer is-11/8

Step-by-step explanation:

3(2-4x)+4x>17

6-12x+4x>17

-8x>17-6

-8x>11

divide both sides by-8

-8x/-8=11/-8

x= -11/8

Step-by-step explanation:

● 6-12x+4x>17

●6-8x>17

●-8x>17-6

●-8x>11

●-8x÷-8>11÷-8

●x= -11/8

Answer:

Step-by-step explanation:

Answer:

Last option (x<-1)

Step-by-step explanation:

Answer:

Apx 7.79$

Step-by-step explanation:

Please brainliest

Step-by-step explanation:

Bir abzas qurmaq üçün 5 addımdan keçək. Hər addım üçün bir izah və nümunə var. Nümunə bəndimiz kölə ruhları haqqında, Afrikalı Amerikalıların köləlik dövründə yaratdığı orijinal mahnılarla əlaqəli olacaq. Model paraqrafı fikrini sübut etmək üçün illüstrasiyadan (nümunələr verməklə) istifadə edir.

Difference between the fees of Ahab and his sister is \(2.8*10^{3} -1.15*10^{3}=1.65*10^{3}\)

Review the following subtraction rules and properties:

Given: Ahab pays dollars for one year's tuition fees and his sister pays dollars fees in tuition for the first year

To find: Difference in tuition fees paid by Ahab and his sister?

Solution:

To find the difference in their fees we have to perform simply normal subtraction

Subtract the fees of his sister from Ahab's fees which is as follows:

\(2.8*10^{3} -1.15*10^{3}=1.65*10^{3}\)

Hence the difference between the fees of Ahab and his sister is \(2.8*10^{3} -1.15*10^{3}=1.65*10^{3}\)

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The line passes through points (0, 27) and (2, 21). Then the correct option is A.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,

\(\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)\)

From the table, the two points are (1, 24) and (3, 18). Let 'x' be the number of days and 'y' be the number of boxes. Then the equation is given as,

(y - 24) = [(18 - 24) / (3 - 1)](x - 1)

y - 24 = - 3(x - 1)

y - 24 = - 3x + 3

y = - 3x + 27

The value of 'y' at x = 2 is given as,

y = - 3(2) + 27

y = - 6 + 27

y = 21

The line passes through points (0, 27) and (2, 21). Then the correct option is A.

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it displays the computed sum and product of the diagonal elements.

Here's a MATLAB code to find the sum and product of the diagonal elements of a given matrix `A`, as well as an example execution for `A = ones(5)`:

```matlab

% Define the matrix A

A = ones(5);

% Get the size of the matrix

[n, ~] = size(A);

% Initialize variables for sum and product

diagonal_sum = 0;

diagonal_product = 1;

% Calculate the sum and product of diagonal elements

for i = 1:n

   diagonal_sum = diagonal_sum + A(i, i);

   diagonal_product = diagonal_product * A(i, i);

end

% Display the results

disp("Sum of diagonal elements: " + diagonal_sum);

disp("Product of diagonal elements: " + diagonal_product);

```

Example execution for `A = ones(5)`:

```

Sum of diagonal elements: 5

Product of diagonal elements: 1

```

In this example, `A = ones(5)` creates a 5x5 matrix filled with ones. The code then iterates over the diagonal elements (i.e., elements where the row index equals the column index) and accumulates the sum and product. Finally, it displays the computed sum and product of the diagonal elements.

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\( {7}^{3} \\ 7 \times 7 \times 7 \\ 49 \times 7 \\ 343\)

343 is the cubed of 7

Answer:

128 candies

Step-by-step explanation:

first: 300-204=96

second: 96/0.75= 128

answer is 128 ( i think )

HOPE THIS HELPS :)  

The statements that are true regarding the angles formed by the transversal and parallel lines are:

A. m∠1 = 70°.

B. m∠2 = 110°

C. m∠6 = 70°.

E. m∠9 = 50°

H. m∠16 = 130°

Given the following angle measures formed when two parallel lines ( being cut by two transversals:

Using relevant theorems, let's determine which of the statements are true:

Angles 4 and 1 are vertical angles, therefore they are congruent based on the vertical angles theorem.

m∠4 = m∠1

m∠1 = 70°.

m∠2 = 180 - m∠4 [linear angles theorem]

m∠2 = 180 - 70

m∠2 = 110°

m∠6 = m∠4 [base on the alternate interior angles theorem]

m∠6 = 70°.

m∠9 = 180 - m∠12 [based on the linear angles theorem]

m∠9 = 180 - 130

m∠9 = 50°

m∠16 = m∠12 [based on the corresponding angles theorem]

m∠16 = 130°

The statements that are true are:

A. m∠1 = 70°.

B. m∠2 = 110°

C. m∠6 = 70°.

E. m∠9 = 50°

H. m∠16 = 130°

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Answer:

1194

Step-by-step explanation:

because 199 is the height of the first mountain so just times that number by 6 to get the second mountains height.

Answer:

-84

Step-by-step explanation:

i think this is right but i'm not sure

Answer:24

Step-by-step explanation:

okay so replace the a and b in the expression with 9 and -6

like this:

2/3a+b*2-ab------>(2/3x9)+(-6 squared)-(9x-6)

This gives you the answer 24

hope this helps :)

To find the equation of the tangent line to the curve y = -x + a at the point (4, 2 + 4), we need to find the slope of the tangent line at that point.

First, let's find the slope of the curve y = -x + a at any given point. Since the curve is linear, the slope is constant and equal to the coefficient of x, which is -1. Therefore, the slope of the curve y = -x + a is -1.

Now, let's find the slope of the tangent line at the point (4, 2 + 4). Since the slope of the curve is -1, the slope of the tangent line will also be -1 at that point.

Now, we can use the point-slope form of a linear equation to find the equation of the tangent line. The point-slope form is given by:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line and m is the slope of the line.

Plugging in the values, we have:

y - (2 + 4) = -1(x - 4)

Simplifying:

y - 6 = -x + 4

y = -x + 10

Therefore, the equation of the tangent line to the curve y = -x + a at the point (4, 2 + 4) is y = -x + 10.

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As per the properties of numbers, Step 1)  2 • 6 • 5 • 1 = (2 • 6) • (5 • 1) uses the option A. associative property of multiplication

Properties of numbers:

The properties of numbers are stated for real numbers.

The common properties are:

Commutative Property: a + b = b + a

Associative Property: a . (b . c) = (a . b) .(a . c)

Distributive Property: a × (b + c) = a × b + a × c

Identity property: a.1 = a

Given,

Here we have the following steps.

Step 1 2 • 6 • 5 • 1 = (2 • 6) • (5 • 1)

Step 2 = (6 • 2) • (1 • 5)

Step 3 = 12 • (1 • 5)

Step 4 = 12 • 5

In this one, we have to identify the property used in step 1.

While we looking into the step 1), we have identified that the product is the same regardless of the way in which the numbers are grouped.

Based on this concept, we have identified that the step is used the associative property of multiplication.

Therefore, step 1 is uses the concept associative property of multiplication.

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Completely factored expressions are:

1. x² - 7x - 18 can be factored as:

(x - 9)(x + 2)

Expand the expression using FOIL:

(x - 9)(x + 2) = x² + 2x - 9x - 18 = x² - 7x - 18

2. p² - 5p - 14 can be factored as:

(p - 7)(p + 2)

Expand the expression using FOIL:

(p - 7)(p + 2) = p² + 2p - 7p - 14 = p² - 5p - 14

3. m² - 9m + 8 can be factored as:

(m - 1)(m - 8)

Expand the expression using FOIL:

(m - 1)(m - 8) = m² - 8m - m + 8 = m² - 9m + 8

Therefore, the completely factored expressions are:

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cos

−1

x+cos

−1

y+cos

−1

z=π

cos

−1

x+cos

−1

y=π−cos

−1

z

cos

−1

(xy−

1−x

2

​

1−y

2

​

)=π−cos

−1

z

xy−

1−x

2

​

1−y

2

​

=cos(π−cos

−1

z)

xy−

1−x

2

​

1−y

2

​

=−cos(cos

−1

z)

xy−

1−x

2

​

1−y

2

​

=−z

xy+z=

1−x

2

​

1−y

2

​

(xy+z)

2

=(1−x

2

)(1−y

2

)

x

2

y

2

+z

2

+2xyz=1−x

2

−y

2

+x

2

y

2

x

2

+y

2

+z

2

+2xyz=1

Question:

What is the measure of an interior angle of a 21-gon?

Concept:

Define a 21-gon

A 21-gon is a 21 sided polygon also know as An icosikaihenagon

In the case of this polygon, the value of n is

We will then calculate the sum of interior angles of a 21-gon and then divide the sum by the number of sides n...

Therefore,

The formula we will use to calculate the measure of an interior angle of a 21-gon is given below as

The formula for the sum of interior angles is given below as

Hence,

We will have

Step 2:

Substitute the value of n=21 in the formula above, we will have

Hence,

The final answer = 162.86°

Think about what the question is asking...  When does that cost reach 0?

\(f(x) =4500 -120x + 60x \\\)

Solve for when f(x) = 0

\(0 = 4500 - 60 x \\-4500 = -60x\\4500 = 60x \\4500/60 = x\\x = 75\)

The store breaks even when it sells 75 bikes.

Hope this helps!

:)

To convert 60° to minutes, we need to understand the relationship between degrees and minutes in a circle. In a circle, there are 360 degrees, and each degree can be further divided into 60 minutes.

So, to convert 60° to minutes, we can use the following formula:

Minutes = Degrees × 60

Substituting the given value, we have:

Minutes = 60° × 60

Minutes = 3600

Therefore, 60° is equal to 3600 minutes.

This conversion is based on the fact that a degree can be subdivided into minutes. In this case, each degree represents 60 minutes. By multiplying 60° by 60, we obtain the equivalent in minutes. Thus, 60° is equivalent to 3600 minutes.

It's important to note that this conversion is specific to angles and circles. Degrees are commonly used to measure angles, while minutes are used to provide a finer level of detail when measuring small angles. By converting from degrees to minutes, we can express an angle in a more precise manner.

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After constructing a circle, the next step in constructing an inscribed square by hand is to draw the diagonals of the circle.

When constructing an inscribed square, drawing the diagonals of the circle is the next step because the diagonals of a square are also the diameters of the circle. By drawing the diagonals, we can find the points where the diagonals intersect the circle, which will be the vertices of the square. This ensures that the square is inscribed within the circle, with its corners touching the circumference of the circle.

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Answer: (A) Set compass to the diameter of the circle.

Step-by-step explanation: got it right in the test

Hello there. To solve this question, we'll have to remember some properties about trigonometric functions and the right triangle.

We want to find x such that:

We'll use the second right triangle to show what we want.

First, given a triangle:

We know that the hypotenuse will be:

But most importantly, the tangent of the angles α and β can be calculated by only using the legs of the triangle: it is the ratio between the opposite side and the adjacent side to an angle.

and

Now look at the triangle we have:

We can easily check that:

So it would be good to find something that relates the ratio between those two numbers: the tangent of 60º!!

Therefore, we have:

And the solution to x is:

The probability that all three wires will meet the specifications is approximately 0.173 .

Expected value (mean) of wire resistance = 0.13 ohms Standard deviation of wire resistance = 0.005 ohms

the probability for each wire, we need to standardize the range of resistance values using the expected value and standard deviation. We can use the Z-score formula:

Z = (X - μ) / σ

Z is the standard score (Z-score) X is the observed value (resistance) μ is the mean (expected value) σ is the standard deviation

For the lower specification of 0.10 ohms

Z1 = (0.10 - 0.13) / 0.005

For the upper specification of 0.17 ohms

Z2 = (0.17 - 0.13) / 0.005

Using a standard normal distribution table , we can find the probability associated with each Z-score.

Lower bound of standardized range = (0.10 - 0.13) / 0.005 = -0.06

Upper bound of standardized range = (0.17 - 0.13) / 0.005 = 0.80

Let's calculate the probabilities for each wire

P(z < -0.60) ≈ 0.2743

P(z < 0.80) ≈ 0.7881

Since we want the probability that all three wires meet the specifications, we need to multiply these probabilities together since the wires are selected independently.

P(all three wires meet specifications) = P(z < -0.60) × P(z < 0.80) × P(z < 0.80)

P(all three wires meet specifications) ≈ 0.2743 × 0.7881 × 0.7881 ≈ 0.1703

Therefore, the probability that all three wires will meet the specifications is approximately 0.173, or 17.3% .

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Answer:

whats the question

Step-by-step explanation:

thats the answer

"Milton's RBT is collecting duration data on how much time he spends with friends all day on Friday. This is continuous data collection using continuous numbers.

It is a true statement.

Milton's RBT is collecting duration data on how much time he spends with friends all day on Friday. This is continuous data collection using continuous numbers. JJ's mother objects to a goal his IEP team recommended (to identify his ABCs) because he has worked on it for 10 consecutive years and has not mastered it.

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Answer:

It is 14.45 percent

Step-by-step explanation:

The first day is independent from the day before. Therefore the first day probability (of rain) is 20 percent.

The second day (depends on the previous day) rainfall probability is 85 percent.

Finally, the third day (it must be rainy to satisfy the total probability) rainfall probability is 85 percent.

The probability of having three consecutive days which are rainy:

P(all rainy)

=

0.20

×

0.85

×

0.85

=

0.1445

or 14.45 percent.