Which of the following values can be found by using the formula √1+tan^2 0?

Which Of The Following Values Can Be Found By Using The Formula 1+tan^2 0?

Answers

Answer 1
√1+tan²Ø√1+sin²Ø/cos²Ø√cos²Ø+sin²Ø/cos²Ø√1/cos²Ø1/cosØsecØ

cos and sec can be found

Answer 2

The requried simplified expression is 1 / cosØ, which is equivalent to secØ. The correct option is secØ.

Let's simplify the given expression and see which of the provided options match:

We are given the expression √(1 + tan²Ø).

Now, recall the trigonometric identity: tan²Ø = sin²Ø / cos²Ø.

Substitute this identity into the expression:

√(1 + sin²Ø / cos²Ø)

Next, find a common denominator for the fraction inside the square root:

√((cos²Ø + sin²Ø) / cos²Ø)

Since cos²Ø + sin²Ø = 1 (as per the Pythagorean trigonometric identity), the expression becomes:

√(1 / cos²Ø)

Now, we can take the square root of 1 and cos²Ø separately:

√1 / √cos²Ø

Simplify:

1 / cosØ

The simplified expression is 1 / cosØ, which is equivalent to secØ.

Therefore, the correct option is: secØ.

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Related Questions

Find the value
of each variable.

Answers

Answer:

y=37 degrees(vertical angles)

x=180-37(linear pair)=143 degrees

z=143 degrees(vertical angles)

Hope it helps!

Answer:

x = 180° - 37° = 143°

y = 37°

z = 180° - 37° = 143°

3 - what = 11

please help with this one

Answers

So we can set up a simple equation for this, where the word “what” is a variable, x. This equation is 3 - x=11. Then we subtract 3 from both sides, giving us -x=8. We can divide both sides by -1, giving us x=-8. The answer would be -8. Hope this helped.

PLEASE HELP ASAP (timed)

Answers

Answer:

x = -19/7

Step-by-step explanation:

-19 : 14 = x : 2

x = 19 * 2 : -14

x = 38 : -14

x = -19/7

One of the solutions to x² - 2x - 15 = 0 is x = -3. What is the other solution?
O x=-5
O x=-1
O x = 1
O x = 5

Answers

Answer:

x= 5

Step-by-step explanation:

factorised the equation is (x-5) (x+3)

x=5 x=-3

pls help
B (20,25) (12,9)
C (150,125) (96,64)
D ( 25, 150) (16,96) (9,54)
E (5,125) (4,64)​

Answers

Answer:

Side Length and Perimeter of One Face

Step-by-step explanation:

See attached image.

2
3
4
5
6
7
8
O They have the same slope.
O They have the same y-intercept.
9
10
TIME REMAINING
55:24
Suppose a system of two linear equations has one solution. What must be true about the graphs of the two equations
O They intersect at one point.
O They intersect at two points.

Answers

Answer:

72

Step-by-step explanation:

yhsvybybyvyyvtvvyyvvt

Answer:

number 9 is the answer for this question

What is the vertex of the function f(x)=|x-9|+2

Answers

Answer:

vertex = (9, 2 )

Step-by-step explanation:

given the absolute value function

f(x) = a |x - h | + k

with vertex = (h, k )

then

f(x) = | x - 9 | + 2

has vertex = (9, 2 )

Consider the equation. Which graph shows a line that is perpendicular to the line defined by the given equation? A. In a linear graph line diagram, A line passes through (minus 4, minus 2) and (2, minus 0.5) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. B. In a linear graph line diagram, A line passes through (2, 0.5) and (minus 4, 2) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. C. In a linear graph line diagram, A line passes through (2, 4) and (0.5, minus 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units. D. In a linear graph line diagram, A line passes through (2, minus 4) and (0.5, 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units.

Answers

The graph second represents the line that is perpendicular to the line y = 4x - 2 option  (B) is correct.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The question is incomplete:

The complete question is:

Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?

Please refer to the attached picture.

The given line:

y = 4x - 2

The slope of the line m = 4

The slope of the line which is perpendicular to the above line:

M = -1/4 = -0.25

The graph second has a slope of -0.25

[tex]\rm y\ -2\ =\ \dfrac{\left(2-0.5\right)}{-4-2}\left(x+4\right)[/tex]

y - 2 = -0.25x - 1

y = -0.25x + 1

Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option  (B) is correct.

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Select the correct answer.
What is √x^9y^4
in simplest form?

Answers

Answer:

x^3y^2

Step-by-step explanation:

[tex]\sqrt{x^9y^4}\\ =\sqrt{x^9}\sqrt{y^4}\\ = x^3y^2[/tex]

Please help!!!!!!!!!!!asap

Answers

By solving y = 25 · x² - 100 through the square root method, we conclude that the two roots of the quadratic formula are y₁ = + 2 and y₂ = - 2.

How to obtain the roots of a second order polynomial

Herein we have a polynomials of the form y = a · x² - b. By algebra we find that two roots exists, which are described below according to the square root method:

[tex]y_{1} = +\sqrt{\frac{b}{a} }[/tex], [tex]y_{2} = -\sqrt{\frac{b}{a} }[/tex]

If we know that a = 25 and b = 100, then the two roots of the equation are:

y₁ = + 2, y₂ = - 2

By solving y = 25 · x² - 100 through the square root method, we conclude that the two roots of the quadratic formula are y₁ = + 2 and y₂ = - 2.

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The perimeter of a rectangle is 34 cm. The length is 1 cm longer than the width. What is the length of the longest side of the rectangle?

Answers

Answer: 9 cm

Step-by-step explanation:

The formula for the perimeter of a rectangle is [tex]2l+2w=P[/tex]

Where

l is the length

w is the width

and P is the perimeter (34)

Because the length is 1 cm longer than the width instead of representing the length is l we can use w+1

Sub in the known values and solve

Step 1: Simplify both sides of the equation with the Distributive Property

[tex]2(w+1)+2w=34\\(2)(w)+(2)(1)+2w=34\\2w+2+2w=34\\(2w+2w)+(2)=34\\4w+2=34\\[/tex]

Step 2: Subtract 2 from both sides.

[tex]4w+2-2=34-2\\4w=32[/tex]

Step 3: Divide both sides by 4.

[tex]\frac{4w}{4}=\frac{32}{4} \\w=8[/tex]

Step 4: Add 1 to w to find the length of the longer side

[tex]w+1\\8+1\\9[/tex]

3,-1, √5, 13, -11 arrange in ascending order

Answers

Answer:

The answer will be

= -11, -1, 5, 3, 13

Please mark me as the brainliest.

Estimate the value of
0.581 -0.246

Answers

0.335 this should be the answer

The value of expression is,

⇒ 0.335

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The expression is,

⇒ 0.581 - 0.246

Now,

Since, The expression is,

⇒ 0.581 - 0.246

After subtraction we get;

⇒ 0.581 - 0.246

⇒ 0.335

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Which pyramid has a greater volume, and how much greater is its volume? A rectangular pyramid on the left with a base of 7 inches by 6 inches and height of 3 inches. A rectangular pyramid on the right with a base of 4 inches by 3 inches and a height of 10 inches. The volume of the pyramid on the left is greater by 2 inches cubed. The volume of the pyramid on the left is greater by 6 inches cubed. The volume of the pyramid on the right is greater by 2 inches cubed. The volume of the pyramid on the right is greater by 6 inches cubed

Answers

The volume of the pyramid on the left is greater by 8 inches cubed

We have given that,

A rectangular pyramid on the left with a base of 7 inches by 6 inches and a height of 3 inches.

A rectangular pyramid on the right with a base of 4 inches by 3 inches and a height of 10 inches.

The volume of the pyramid on the left is greater by 2 inches cubed. The volume of the pyramid on the left is greater by 6 inches cubed.

The equation for finding the volume of a pyramid is,

What is the volume of a pyramid?

lwh/3

when you input the values of the two pyramids into this equation you get the left pyramid having a volume of 128 inches cubed and the right pyramid having a volume of 120 inches cubed.

Therefore, 128 - 120 = 8

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Toby has five coins. Three of the coins add up to 30p. Three of the coins add up to 40p. All the coins add up to 50p. List Tony's coins in ascending order of value.

Answers

Tony's coins in ascending order of value will be 5p, 10p, and 15p.

How to depict the information?

Based on the information given, the values of the coins will be 5p, 5p, 10p, 15p, and 15p.

In this case, 5p + 10p + 15p = 30p

10p + 15p + 15p = 40p

5p + 5p + 10p + 15p + 15p = 50p

Therefore, Tony's coins in ascending order of value will be 5p, 10p, and 15p.

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Answer:

5p, 5p, 10p, 10p, 20p

Step-by-step explanation:

5p, 5p, 10p, 10p, 20p,

Simplify 8 − (14). plsss help

Answers

Answer:

(-6)

Step-by-step explanation:

Integer subtraction:

If two numbers have different sign, subtract and the result will have the sign of the bigger number.

 8 - 14 = (-6)

Subtract 8 from 14 and the bigger number is 14 and sign of 14 is (-).

So, the answer is  (-6)

another equation for y = 8x + 7

Answers

Linear function is the other equation

The graph shows the prices of different numbers of bushels of corn at a store in the current year. The table shows the prices of different numbers of bushels of corn at the same store for the previous year.

Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value. (5 points)
Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work. (5 points)

Answers

#1

Take any two points

(3,24)(6,48)

Slope

m=48-24/6-3m=24/3m=8

#2

(3,21)(6,42)

Slope:-

m=42-21/6-3m=21/3m=7

Difference

1$

Answer:

Part a you find the rate of change by finding the slope of the line the value is 8 it is (y2-y1)/(x2-x1) 48-24/6-3=24/3=8

Part b current year is 8 dollars a bushel and previous year is 7 dollars

Step-by-step explanation:

Determine if the lines through each set of ordered pairs are parallel, perpendicular, or neither. Explain your answer. Ordered pairs: (8, 3) (-2, 5) and (-2, -5) (-1, -10)

Answers

Considering the slope of the lines, it is found that the lines going through the points are neither parallel nor perpendicular.

When are lines parallel, perpendicular or neither?

The slope, given by change in y divided by change in x, determines if the lines are parallel, perpendicular, or neither, as follows:

If they are equal, the lines are parallel.If their multiplication is of -1, they are perpendicular.Otherwise, they are neither.

In this problem, the slopes are given as follows:

m1 = (5 - 3)/(-2 - 8) = -2/10 = -1/5 = -0.2.m2 = (-10 - (-5))/(-1 -(-2)) = -5/1 = -5.

The multiplication is of 1, not -1, hence they are neither parallel nor perpendicular.

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1.Simplify using suitable properties
(i) 13−51+2

Answers

Answer:

This is my answer:

Step-by-step explanation:

The table shows the probabilities of certain prizes in a restaurant’s contest where the first 100 customers are winners.

A 2-column table with 6 rows. The first column is labeled prize with entries 1 dollar drink, 5 dollar meal, 5 dollar gift card, 10 dollar gift card, 20 dollar gift card, 100 dollar gift card. The second column is labeled number of prizes with entries 44, 25, 16, 10, 5, 1.
How does the $100 gift card affect the measure of center of the data?

Answers

A mean is an arithmetic average of a set of observations.

The correct option is (A).

What is Mean?

A mean is an arithmetic average of a set of observations.

Mean = (Sum of observations)/Number of observations

As, the median is the middle value.

Thus, the median will not be changed.

As, the mean is the arithmetic average.

So, the $100 gift will increase the mean value of the prizes.

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Answer:

A

Step-by-step explanation:

Which foundation drawing matches this orthographic drawing?

Answers

The figure second represents the foundation drawing of a provided front, right, and top view option second is correct.

What is orthographic drawing?

Three-dimensional objects can be represented in two dimensions via an orthographic projection.

As we have given orthographic drawings.

The front, right, and the top view is shown in the picture of the cuboid if merge all the view we will find the three-dimensional figure is a cuboid.

We can represent the cuboid by 2×3 grids as shown in the picture second.

Thus, the figure second represents the foundation drawing of a provided front, right, and top view option second is correct.

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Step 3: Now multiply the values to get 14,918,904,000. That is almost
15 billion passwords.
That is a lot of passwords! How many passwords would the website
have if users were allowed to reuse the letters and numbers? (Enter
the number of successful outcomes in each of the blanks below.
2

Answers

The number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600

How to determine the number of passwords

The given parameters are:

Password length = 8

Letters = 6

Numbers = 2

There are 26 letters and 10 digits.

Since the letters and the numbers can be repeated, then the number of passwords is:

Count = 26^6 * 10^2

Evaluate

Count = 30891577600

Hence, the number of passwords is 30891577600

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3. Find the measure of angle TOS in the figure below.

Answers

∠ROQ and ∠TOS are vertically opposite angles, so must be equal, which means they are 122°

∠TOS = 122°


Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form

Answers

Answer:

y = 3/4x + 2

Step-by-step explanation:

let me know if you want an explanation :))

How many solutions for x does the following equation have?

3(x + 8) − 1 = 3x + 4

A.
4
B.
1
C.
0
D.
infinite

Answers

Answer:

c. 0

Step-by-step explanation:

3(x+8) - 1 = 3x+4

3x+24-1 = 3x+4

3x+23 = 3x+4

There are no solutions since both equations have the same slope meaning they are parallel and they will never intersect since they have different y-intercepts.

I need help asp. Identifying Geometric Figures.

Answers

Answer:

The angle created by OX and OZ is angle XOZ

The two rays that create YOX are ray OX and ray OY

The center of the circle is point O

Step-by-step explanation:

The image attached below shows a circle with a center at point O at which several rays meet to form the following angles, namely:

ray OX and ray OZ meet at center O to form angle XOZ.

ray OX and ray OY meet at the center O to form angel YOX.

Therefore:

The angle created by rays OX and OZ is <XOZ

The two rays that created <YOX are: OX and OY

The center of the circle is point O.

I hope this is helpful.

Angle QRS is bisected by ray RP. If angle QRP is 60 degrees, what would be the measure of angle QRS?​

Answers

Answer:

6779

Step-by-step explanation:

69

If 3/4 of ojo’s pocket money is €600.00; what is 1/8 of this pocket money?

Answers

Answer:

100

Step-by-step explanation:

explanation is shown in the picture

Let's set all the information into equations:

 ⇒ 3/4 of Ojo's money is €600.00 ⇒ [tex]\frac{3}{4} x = 600[/tex]

     (Where x is the total amount of money)

Let's solve the equation:

 ⇒ to find the total amount of money that Ojo has:

   [tex]\frac{3}{4}x=600\\ 3x=2400\\x=800[/tex]

 ⇒ total money is €800

Original question: what is 1/8 of this pocket money

     [tex]\frac{1}{8} *800=100[/tex]  

Answer: €100 is 1/8 of his pocket money

Hope that helps!

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Which expression can be used to find the area of the
composite figure?
O 4x
O 2x + 2x²
Ox2 + 2x
O 3x²

Answers

Answer:

3x²

Step-by-step explanation:

1 triangle is 1/2x²

2 triangles are x²

rectangle below is 2 squares

rectangle below is 2x²

x² + 2x² = 3x²

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