the expression negative 1 plus tangent x over 1 plus tangent x can be rewritten as which of the following

The Expression Negative 1 Plus Tangent X Over 1 Plus Tangent X Can Be Rewritten As Which Of The Following

Answers

Answer 1

[tex]\tan(\alpha + \beta) = \cfrac{\tan(\alpha)+ \tan(\beta)}{1- \tan(\alpha)\tan(\beta)} \qquad \tan(\alpha - \beta) = \cfrac{\tan(\alpha)- \tan(\beta)}{1+ \tan(\alpha)\tan(\beta)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{-1+\tan(x)}{1+\tan(x)}\implies \cfrac{-1+\tan(x)}{1-(-1)\tan(x)} \\\\\\ \cfrac{\tan\left( \frac{3\pi }{4} \right)+\tan(x)}{1-\tan\left( \frac{3\pi }{4} \right)\tan(x)}\implies \tan\left( \cfrac{3\pi }{4} + x\right)[/tex]


Related Questions

what is the measure of an angle if it is 130 less than three times its own complement

Answers

The measure of the angle is 35 degrees.

What are complementary angles?

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees.... For example, a 50-degree angle and a 40-degree angle are complementary; a 60-degree angle and a 120-degree angle are supplementary.

Let's assume that x is the measure of the angle in question.

The complement of x is the angle that, when added to x, forms a right angle (90 degrees). Therefore, the complement of x can be represented as 90 - x.

According to the problem, the measure of the angle is 130 less than three times its own complement. We can write this information as an equation:

x = 3(90 - x) - 130

Simplifying and solving for x, we get:

x = 270 - 3x - 130

4x = 140

x = 35

Therefore, the measure of the angle is 35 degrees.

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Find all real numbers a that satisfy \frac{1}{64a^3 + 7} - 7 = 0.

Answers

After considering the given data we conclude that the the real numbers  are a = (-3/4) × (1/∛7), (3/4) ×(1/∛7),


In order to evaluate equations with fraction, we have to follow these steps
1. First Identify the operations that are being applied to the unknown variable.
2. Then Apply the inverse operations, one at a time, to both sides of the equation.
3. Finally write  the last answer,
For the given  case, we have 1/{64a³ + 7} - 7 = 0. We can evaluate this  by first adding 7 to both sides of the equation to get 1/{64a³ + 7} = 7.
Therefore we can take the reciprocal of both sides to get {64a³ + 7} = 1/7. Finally, we can subtract 7 from both sides to get {64a³} = -48/7.

Hence , the real number(s) that satisfy the equation are a = (-3/4) × (1/∛7) , (3/4) ×(1/∛7).
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Simplify 4 + 10 ÷ (–2). Question 13 options: A) 1 B) –1 C) 7 D)

Answers

Answer:

B) -1

Step-by-step explanation:

To answer this question you need to use Pedmas*.

Pembas states:

P - Parenthasess

E - Exponents

D - Divison

M - Multiplication

A - Addition

S - Subtraction

So in this problem, you need to solve the parentheses. In the parentheses there is nothing to solve so we move on to exponents. There are no exponents so we move on to division/multiplication. There is a division symbol so we divide left to right.

After dividing 10 / -2 we get an answer of -5. We can now add 4 + -5 to get our final answer of -1

Which choice below DOES NOT name of one of the four quadrants of the coordinate plane?

Quadrant Ⅲ

Quadrant Ⅱ

Quadrant Ⅴ

Quadrant Ⅰ

Answers

Answer:

Quadrant V

Step-by-step explanation:

A co-ordinate graph only has 4 quadrants!

The following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in the second quarter of 2014. Set up a system and then
solve using technology. HINT [See the technology note accompanying Example 1.]
Airline
United
Continental
14.9
American JetBlue Southwest
Cost (c)
Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 160 empty seats, costing them a
total of $68,250. If United Continental had three times as many empty seats as American, how many empty seats did each of these three airlines carry on its
flight?
United Continental
American
Southwest
14.6
empty seats
empty seats
empty seats
11.9
12.4

Answers

The Empty seats according to the equation will be:

United Continental = 90

American airlines = 30

Southwest airlines = 40

How to explain the equation

Let the seats in American airlines = x

so according to give condition The United continental airlines have 3x seats. and  the seats in Southwest airlines  = y  and Combined empty seat in American, United continental and  Southwest airlines = 160

4x + y = 160

59.3x + 12.4y = 2275

After solving, x = 30 and y = 40

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3 In a competitive exam consisting of 100 questions, each correct answer gets
2 marks and each wrong answer gets -1 mark. If a student has written 70 correct
answers and 30 wrong answers, what is his/her score?

Answers

The students score for the competitive exam is 110

How to calculate the students score

To find the score of the student, we can use the given information.

For correct answers

Number of correct answers = 70

Marks for correct answers

= Number of correct answers * Marks per correct answer

= 70 * 2

= 140

For wrong answers:

Number of wrong answers = 30

Marks for wrong answers

= Number of wrong answers * Marks per wrong answer

= 30 * -1

= -30

The total score

= Marks for correct answers + Marks for wrong answers

= 140 + (-30)

= 110

Hence the student's score is 110.

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the value of a companys stock changes at a rate of 7 dollars per day for 8 days. what is the total change in the stocks value after 8 days

Answers

The value of stock after 8 days is $20.

Since the unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We are given that Price of the stock =  $8

The number of days price fall = 8 days

a) the price of the stock changes by = $7x 8

                                                           = $56

  Price of stock decreased by $56

b) Price of stock after 8 days

                    = $36 - $56

                    = $20

Hence,  the value of stock after 8 days is equal to $20

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Find the volume for figure one

HELP I HAVE BEEEN STUCK IN THIS

Answers

Answer: 27

Step-by-step explanation:

V=lwh  

V=(3)(3)(3)

=27

Answer:

27 units

Step-by-step explanation:

If we say the cube is broken up into smaller cubes, volume is the number of tiny cubes total.

An easier way to do this is to remember that the volume equation is V=L*w*h= length*width*height, where the width is 3 cube units, the height is 3 cube units, and the length is 3 cube units. So:

V=3*3*3= 27

If this does not make sense, here is another way to think about volume.

First, lets determine what the area of one surface of the cube is. Area is length times width, so the answer is 9. We can also count the number of cubes, if that is easier.

So we found the area of one face. Now we need to know how many of these square areas makes up the cube. That is, how many 3 by squares will make the cube? From the diagram, we see that there are three cube units across, and if each face area has a width of one cube, then we multiply.

3*9= 27

The total weight of a shipping crate is modeled by
the function c = 24b +30, where c is the total
weight of the crate with b boxes packed inside
the crate. If each crate holds a maximum of 6
boxes, then what are the domain and range of
the function for this situation?

Answers

The domain is 0 ≤ b ≤ 6 and the range is c ≥ 30.In this situation, the function that models the total weight of a shipping crate is given as c = 24b + 30, where c represents the total weight of the crate and b represents the number of boxes packed inside.

To determine the domain and range of this function, we need to consider the constraints of the problem. It is mentioned that each crate holds a maximum of 6 boxes.

Domain: The domain refers to the set of input values that the function can accept. In this case, the number of boxes (b) cannot exceed 6 since that is the maximum capacity of each crate. Therefore, the domain of the function is 0 ≤ b ≤ 6, where b is a non-negative integer.

Range: The range represents the set of possible output values of the function. The total weight of the crate (c) is determined by the number of boxes packed inside. Since the weight of the crate increases linearly with the number of boxes, there is no upper limit to the range. The range of the function is c ≥ 30, where c is a non-negative integer representing the weight of the crate.

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find the size of angle x

Answers

tan(x) = 10/21, using soh cah toa, where o is opposite (10) and t is tangent (21).
Solve for x, x=25.463345…, but we round to the nearest tenth. x=25.5

Trigonometry
Ineach of the questions below, calculate other the missing angle or side stated. Give
your answer correct to 1 decimal place
1)
3)
13cm
39m
38
4cm
10m
14m
6)
140m
9)
5cm
2)
4)
23m
75m
10cm
35"
7)
16m
10)
d
6cm
66°
135m86
15m

Answers

Answer:  Ans(1)

 In right triangle

     a = 13cos(56°)

   a = 7.3 cm

Ans(2)

   In right triangle

   b = 6/sin(35°)

6th grade math what’s the volume of the tringular prism

Answers

The volume of the given triangular prism is 144 cm³.

option A.

What’s the volume of the triangular prism?

The volume of a triangular prism can be calculated by multiplying the area of the base triangle by the height of the prism.

The formula for calculating the volume of a triangular prism is:

Volume = Base Area × Height

Given the base of the triangular prism is a triangle with a base of 8 cm and a height of 3 cm, the area of the base triangle can be calculated as:

Base Area = 0.5 × base × height

Base Area = 0.5 × 8 cm × 3 cm

Base Area = 12 cm²

The volume of a triangular prism is calculated as;

Volume = Base Area × Height

Volume = 12 cm² × 12 cm

Volume = 144 cm³

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20 pts
Need help asap

Answers

You would do 12/25, which is 0.48

What is the perimeter of kite WXYZ?
W(-3,3)
-5-4-3-2-1
Z(-3,-2)
5
4
لیا
2
1
-2
-5
y
X(2,3)
1 2 3 4 5 X
Y(4-4)

Answers

Answer:

Step-by-step explanation:

yes

19°
Solve for c.
142°
C
42
c = [?
C
Round your final answer
to the nearest tenth.

Answers

[tex]\textit{Law of Sines} \\\\ \cfrac{\sin(\measuredangle A)}{a}=\cfrac{\sin(\measuredangle B)}{b}=\cfrac{\sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{c}{\sin(142^o)}=\cfrac{42}{\sin(19^o)}\implies c=\cfrac{42\sin(142^o)}{\sin(19^o)}\implies c\approx 79.4[/tex]

Make sure your calculator is in Degree mode.

Sketch an angle of 250 in standard position and then identify and draw its reference angle

Answers

Check the picture below.

provide all the steps for my question please

Answers

Let's use Bayes' theorem to find the probability that a person is qualified given that he or she was approved by the manager:

P(qualified | approved) = P(approved | qualified) * P(qualified) / P(approved)

We are given:

P(qualified) = 0.414 (the probability that a person is qualified)
P(approved | qualified) = 0.226 (the probability that the manager approves a qualified person)
P(approved | unqualified) = 0.298 (the probability that the manager approves an unqualified person)

To find P(approved), we can use the law of total probability:

P(approved) = P(approved | qualified) * P(qualified) + P(approved | unqualified) * P(unqualified)

We know that the complement of "qualified" is "unqualified", so:

P(unqualified) = 1 - P(qualified) = 1 - 0.414 = 0.586

Plugging in the given values, we get:

P(approved) = 0.226 * 0.414 + 0.298 * 0.586 = 0.276908

Now we can use Bayes' theorem to find the probability that a person is qualified given that he or she was approved by the manager:

P(qualified | approved) = 0.226 * 0.414 / 0.276908 ≈ 0.338

Therefore, the probability that a person is qualified given that he or she was approved by the manager is approximately 0.338.

pls help i sick at midpoint

Answers

Answer:

[tex] \frac{ - .8 + .6}{2} = \frac{ - .2}{2} = -.1[/tex]

can someone help PLS? its Surface Area of Composite Shapes

Answers

The total surface area of the figure is 315π square feet, or approximately 988.8 square feet if we use a value of 3.14 for π.

Given information:

The cylinder is sitting on the base of the cone.

The diameter of the base is 14 feet.

The slant height of the cone is 9 feet and the height of the cylinder is 11 feet.

To find the total surface area of the figure, we need to find the surface area of the cone and the surface area of the cylinder and add them together.

The surface area of the cone:

The radius of the cone is half of the diameter, which is 7 feet.

The lateral surface area of the cone can be found using the formula:

L = πrs, where r is the radius and s is the slant height.

L = π(7)(9) = 63π square feet

The base of the cone is a circle with a radius of 7 feet, so its area is:

A = πr² = π(7²) = 49π square feet

The surface area of a cylinder:

The radius of the cylinder is also 7 feet since it shares the same base as the cone.

The lateral surface area of the cylinder is:

L = 2πrh, where r is the radius and h is the height.

L = 2π(7)(11) = 154π square feet

The base of the cylinder is another circle with a radius of 7 feet, so its area is:

A = πr² = π(7²) = 49π square feet

Total surface area:

Adding the lateral surface area and the base area of the cone and cylinder, we get:

63π + 49π + 154π + 49π = 315π square feet

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Chad will have new carpet put on the rectangular floors of two rooms in his house. One
floor is 12 feet long, and the other floor is 15 feet long. Each floor has a width of 10
feet.
What is the total area in square feet of the new carpet?

Answers

Answer: 270 ft²

Step-by-step explanation:

The dimensions of 1 room is 10 ft x 12 ft

The other room is 10 ft x 15 ft

For area multiply the length and width and add the 2 areas

so A1 =  10x12=120 ft²

A2 = 10x15 =150 ft²

Total area is 150+120 =270 ft²

The point (3,b) lies on the circle with radius 6 and center (-1, -1). What are the possible values of b?

Answers

The point (3, b) lies on the circle with radius 6 and center (-1, -1), the possible values of b are 3.47 or -5.47.

What is the equation of a circle?

In Mathematics and Geometry, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²

Where:

h and k represents the coordinates at the center of a circle.r represents the radius of a circle.

Substituting the given points into the equation of a circle formula, we have the following;

(x - h)² + (y - k)² = r²

(x - (-1))² + (y - (-1))² = 6²

(x + 1)² + (y + 1)² = 36.

Since the point (3, b) lies on the circle, we have;

(3 + 1)² + (b + 1)² = 36.

16 + b² + 2b + 1 = 36

b² + 2b - 19 = 0

By solving the quadratic function, the possible values of b is given by;

x = 3.47 or x = -5.47.

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Solve the system of equations by graphing.
U=V
8u = 2v-36
Use the graphing tool to graph the system.
Click to
enlarge
graph
...
16
B
16
8
12
20

Answers

The solution to the given simultaneous equations are:

(-6, -6)

How to solve simultaneous equations?

There are different ways to solve simultaneous equations such as:

- Elimination Method

- Substitution Method

- Graphical Method

Now, we are given two simultaneous equations to solve graphically and the equations are:

U = V

8U = 2V - 36

Now, the graph that solves these simultaneous equations is as shown in the attached file.

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4
Pylhagorean thearem
finding C
a: 2.15
a²+ b² = c²
2.15 + 5.61=C²

Answers

Applying the Pythagorean theorem, the value of c is 6.0.

What is a Pythagorean theorem?

A Pythagorean theorem is a principle that can be used to determine the unknown side of a given right triangle when the values of its other two sides are given. Pythagorean theorem states:

[tex]Hyp^{2}[/tex] = [tex]Adj^{2} + Opp^{2}[/tex]

So that from the given question, applying the Pythagorean theorem;

[tex]c^{2}[/tex] = [tex]a^{2} + b^{2}[/tex] - 2abCos θ

But, a = 2.15  and b = 5.61

So that;

[tex]c^{2}[/tex] = [tex]2.15^{2}[/tex] + [tex]5.16^{2}[/tex]

      = 4.6225 + 31.472

[tex]c^{2}[/tex] = 36.0946
c = [tex]\sqrt{36.0946}[/tex]

 = 6.0079

c = 6.0

The value of c is 6.0.

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Work out 10% of 480kg

Answers

Answer:

it's 48

Step-by-step explanation:

you must do 480×10÷100

Solve the following equation
3x²+x-12
= 1
b
Od
x=-12 x=11
x=4 x=-3
x=12 x=-1
x=3 x=-4

Answers

The solutions to the quadratic equation 3x² + x - 12 = 1 are given as follows:

[tex]x = \frac{-1 \pm \sqrt{157}}{12}[/tex]

How to solve the quadratic function?

The quadratic function in the context of this problem is defined as follows:

3x² + x - 12 = 1

Placing it into standard format ax² + bx + c = 0, we have that the equation is given as follows:

3x² + x - 13 = 0.

The coefficients are given as follows:

a = 3, b = 1, c = -13.

The discriminant is:

D = b² - 4ac

D = 1² - 4 x 3 x -13

D = 157.

Then the solutions are given as follows:

[tex]x = \frac{-1 \pm \sqrt{157}}{12}[/tex]

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I need help with this problem if do thank you a lot

Answers

You will need to add 35 twice:

Which of the following would you expect not to have a normal distribution?

The delay, measured in minutes, of flights from La Guardia airport.
The weights of eighth grade children in NYC schools
Scores on the NY state English Regents test.
The actual weight of rice in a bag labeled as a 20 pound bag

Answers

The actual weight of rice in a bag labeled as a 20 pound bag is expected not to have a normal distribution.

What is normal distribution ?

A normal distribution is a common probability distribution that is bell-shaped and symmetrical around its mean value. In a normal distribution, the mean, median, and mode are all equal, and the distribution is defined by two parameters: its mean and standard deviation.

The actual weight of rice in a bag labeled as a 20 pound bag is expected not to have a normal distribution. This is because the weight of rice in a bag labeled as 20 pounds may vary due to differences in packing and other factors, and is not necessarily a normally distributed variable. The delay of flights, weights of children, and test scores are all examples of variables that may have a normal distribution under certain conditions.

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Find the missing side. Round to the nearest tenth

Answers

The missing side of the triangle given the angle as 71° and hypotenuse as 17 to the nearest tenth is 16.1.

The correct answer choice is option C

What is the missing side of the triangle?

Hypotenuse= 17

Opposite = x

Angle = 71°

Sin 71° = opposite / hypotenuse

sin 71° = x / 17

0.95105 = x / 17

cross product

0.95105 × 17 = x

x = 16.1 to the nearest tenth

In conclusion, the missing side of the triangle to the nearest tenth is 16.1

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Assuming that x \neq -5, simplify (2x + 10)^4*(x + 5)^3.

Answers

Equation (2x + 10)⁴*(x + 5)³ simplifies to 16(x + 5)⁷.

We can simplify this expression by factoring out the common factor of (2x + 10) from the first term and (x + 5) from the second term:

(2x + 10)⁴ × (x + 5)³ = (2(x + 5))⁴ × (x + 5)³

We can simplify the first term by expanding the fourth power:

(2(x + 5))⁴ = 16(x + 5)⁴

Now we have:

(2x + 10)⁴*(x + 5)³ = 16(x + 5)⁴ * (x + 5)^3

We can simplify this expression further by adding the exponents of the common factor (x + 5):

16(x + 5)⁴ * (x + 5)³ = 16(x + 5)⁴⁺³ = 16(x + 5)⁷

Therefore, (2x + 10)⁴*(x + 5)³ simplifies to 16(x + 5)⁷.

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Given question is incomplete, the complete question is below

Assuming that x ≠ -5, simplify (2x + 10)⁴×(x + 5)³.

I REALLY NEED SOME HELP PLSSS

Answers

The vocabulary term for segment a is an apothem.

The area of this polygon is 41.6 yd².

How to calculate the area of a regular polygon?

In Mathematics and Geometry, the area of a regular polygon can be calculated by using this formula:

Area of regular polygon = (n × s × a)/2

Where:

n represents the number of sides.s represents the side length.a represents the apothem.

By substituting the given parameters into the formula for the area of a regular polygon, we have the following:

Area of regular polygon = (6 × 4 × 2√3)/2

Area of regular polygon = (24 × 2√3)/2

Area of regular polygon = 83.1/2

Area of regular polygon = 41.6 yd².

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