Given that tan 0 = and O is in quadrant III,

find cos 20.

Yes, a transformation can involve the addition, subtraction, multiplication, or division of or by a constant. In fact, these operations are commonly used in mathematical transformations.

For example, adding a constant to each value in a set of data is a common way to shift the entire set of values up or down. Multiplying each value in a set of data by a constant is a common way to stretch or shrink the data. Subtraction and division can also be used in transformations, depending on the context. However, it is important to note that not all transformations involve these operations.

Some transformations may involve more complex operations, such as exponentiation or logarithmic transformations. So, the short answer is yes, but the long answer is that it depends on the specific transformation being used.

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Answer:

Simplifying

x + 8y = 15

Solving

x + 8y = 15

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8y' to each side of the equation.

x + 8y + -8y = 15 + -8y

Combine like terms: 8y + -8y = 0

x + 0 = 15 + -8y

x = 15 + -8y

Simplifying

x = 15 + -8y

The star's life cycle is given by Nebula > Protostar > Supergiant > Supernova > Neutron Star

The life cycle of the star starts from nebula to protostar, through the main sequence to red giant before ending as a white dwarf, neutron star, or black hole. The mass of a star determines its life span. The life cycle of an object decreases with increasing mass. The quantity of substance present in a star's nebula, the massive cloud of gas and dust from which it emerged, determines the star's mass.

Given data ,

Let the star's life cycle be represented as A

Now , from the initial stage of the star ,

A nebula - A star forms from massive clouds of dust and gas in space, also known as a nebula.

Protostar - A protostar resembles a star, but its core is still too cool for fusion to occur. Protostars are usually surrounded by dust, which blocks the light that they emit.

Main sequence star is the next stage

Red giant star - A brilliant giant star with a low or middle mass that is in the latter stages of stellar development is referred to be a red giant.

White dwarf - A star core remnant known as a white dwarf is primarily made up of electron-degenerate materials.

Supernova - A supernova is a star's tremendous and brilliant explosion. A supernova happens when a white dwarf is sent off into uncontrolled nuclear fusion or during the last phases of the development of a big star.

Neutron star or black hole - The star's core is all that remains after the supernova explosion. It turns into a neutron star if the core is less dense. About all of a neutron star's mass consists of neutrons. It turns into a black hole if the core is more dense.

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Answer: the anserw shokd be no fles

Step-by-step explanation:

7/8 cups of sauce are needed to make 1 pizza.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Domino's can make 4 pizzas using 3 1/2 cups of sauce.

Now, for 1 pizza he needed

= (3 1/2) /4

= (7/2)/ 4

= 7/2 x 1/4

= 7/8 cups of sauce.

Hence, 7/8 cups of sauce needed.

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Answer:

150

Step-by-step explanation:

(5)(5)=25

(25)(5)=125

add: =150

\(5\times5+25\times5\)

\(5\times5=25\\25\times5=125\)

\(25+125\)

\(=\fbox{150}\)

Answer:

12°

Step-by-step explanation:

The outer polygon is a hexagon and the inner polygon is a pentagon.

Let's start by finding the measure of an interior angle of the (regular) hexagon.

The sum of the measures in a polygon is:

(n-2)(180)

Where n represents the amount of sides in a figure therefore...

(6-2)(180)=4(180)=720

Then, we divide 720 by 6 (because there are 6 angles), to find the measure of one angle...

720/6=120

Next, find the measure of an interior angles of a (regular) pentagon.

(n-2)(180)=(5-2)(180)=3(180)=540

Divide 540 by 5 (there are 5 angles), to find the measure of one angle...

540/5=108

Now, subtract 120 by 108 to find a...

120-108=12

a=12°

Answer:

I think c

Step-by-step explanation:

plz make me brainliest

Answer:

Step-by-step explanation:

girl what is wrong with that screen lol

The slope of the line passing through the points (-5, -4) and (-13, 2) is -3/4.

Slope is simply expressed as a change in y over the change in x.

It is expressed as

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Given the points:
(-5, -4) and (-13,2)​

Point (-5, -4):

x₁ = -5

y₁ = -4

Point (-13,2)​:

x₂ = -13

y₂ = 2

Plug the given x and y values into the slope formula and simplify.

\(m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{2 - (-4)}{-13 - (-5)}\\\\m = \frac{2 + 4}{-13 + 5}\\\\m = \frac{6}{-8}\\\\m = -\frac{3}{4}\)

Therefore, the slope of the line is -3/4.

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Answer:

Look Below

Step-by-step explanation:

The formula for a circle is πr².

Therefore, we can divide the area of the circle by 3.14, and then square root it. 490.63/3.14=156.25... If you square root that, you get 12.5. Same thing with the other circle. 219.45/3.14=69.888... If you square root that, you get 8.36. Now that we have the radius, we can multiply that by two to find the diameter. And we're done.

Feel free to tell me if I did anything wrong! :)

#3.

Triangle RCH is congruent to Triangle NCH by SAS.

Side 1 - reflexive (CH)

Angle - given

Side 2 - given

#4.

Triangle SOK is congruent to Triangle XAM by ASA.

Angle 1 - angle X is 53 degrees, as is angle S

Side - given

Angle 2 - angle A is 103 degrees, as is angle O

Hope this helps!

Answer:5 milllion

And the minimum is 25

Step-by-step explanation:

Answer:

Step-by-step explanation:

$13

The list of the quadrilaterals that have the given property is D. Parallelogram, rectangle, rhombus, and square all have opposite angles.

When we talk about the ""opposite angles"" of a quadrilateral, we mean the angles that are across from each other and do not share a common side.

Now, let's consider each type of quadrilateral and its properties:

Parallelogram: A parallelogram has two pairs of opposite sides that are parallel. Its opposite angles are congruent (meaning they have the same measure), but they are not necessarily right angles.

Rhombus: A rhombus is a type of parallelogram where all four sides are congruent (have the same length). Its opposite angles are congruent, but they are not necessarily right angles.

Rectangle: A rectangle is a type of parallelogram where all four angles are right angles (have a measure of 90 degrees). Its opposite sides are congruent (have the same length).

Square: A square is a type of rhombus and a type of rectangle, where all four sides are congruent and all four angles are right angles. Its opposite sides and opposite angles are congruent.

Now, let's consider the given property: opposite angles.

From the properties listed above, we can see that all four types of quadrilaterals have opposite angles. Therefore, the correct answer is D. Parallelogram, rectangle, rhombus, and square all have opposite angles.

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The diameter of the circle is approximately 60 inches.

To explain further, we can use the formula relating the central angle of a sector to the length of its intercepted arc. The formula states that the length of the intercepted arc (A) is equal to the radius (r) multiplied by the central angle (θ) in radians.

In this case, we are given the central angle (225 degrees) and the length of the intercepted arc (30π inches).

To find the diameter (d) of the circle, we need to find the radius (r) first. Since the length of the intercepted arc is equal to the radius multiplied by the central angle, we can set up the equation 30π = r * (225π/180). Simplifying this equation gives us r = 20 inches.

The diameter of the circle is twice the radius, so the diameter is equal to 2 * 20 inches, which is 40 inches. Therefore, the diameter of the circle is approximately 60 inches.

In summary, by using the formula for the relationship between central angle and intercepted arc length, we can determine the radius of the circle. Doubling the radius gives us the diameter, which is approximately 60 inches.

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The area of the shaded sector  of a circle with central angle rst radians is 8π sq. unit

The shaded area of the circle is half of the whole circle. If we can get the area of the circle, we will halve it, to get the area of the shaded sector

Area of circle A =πr² where r is the radius of the circle.

From the picture, the radius of the circle is r= 4

The area of the shaded sector is half the area of the full circle.

Area of Shaded = πr²/2 = π4²/2= 16π/2= 8π = 25.13 sq. units.

The area of the shaded sector of the circle is 8π sq. units

The picture of the circle is attached below

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Using a system of equations, the expression, in terms of x, for the total number of students at the college is:

T = 11x.

A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem

For this problem, considering the Venn diagram, we have that:

Thus the total number of students in the college is given by:

T = A + B + x.

1/2 of the students who learn the piano also learn the guitar, hence:

A = x.

Thus the number of students who play the piano is:

A + x = x + x = 2x.

5 times as many students learn the guitar as learn the piano, hence:

B + x = 5(2x)

B + x = 10x

B = 9x.

Hence:

T = A + B + x

T = x + 9x + x

T = 11x.

The expression, in terms of x, for the total number of students at the college is:

T = 11x.

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Answer:

x = 2

Step-by-step explanation:

63x - 1 and 62x + 1 are corresponding angles and congruent, thus

63x - 1 = 62x + 1 ( subtract 62x from both sides )

x - 1 = 1 ( add 1 to both sides )

x = 2

Answer:

A.

Step-by-step explanation:  63 x - 1  62 x + 1

The probability of drawing exactly 3 black balls out of 5 is 0.2846, or approximately 0.2846 rounded to four decimal places.

To find the probability of drawing exactly 3 black balls out of 5, we need to use the binomial probability formula, which is:

P(X=k) = (n choose k) * p * (1-p)ⁿ⁻ᵏ

where P(X=k) is the probability of getting k successes, n is the number of trials, p is the probability of success, and (n choose k) is the number of ways to choose k items out of n.

In this case, n = 5, k = 3, p = 5/14 (the probability of drawing a black ball on the first draw is 5/14, and this probability decreases with each subsequent draw), and (n choose k) = 5 choose 3 = 10 (the number of ways to choose 3 black balls out of 5).

Plugging these values into the formula, we get:

P(X=3) = (5 choose 3) * (5/14)³ * (9/14)²

= 10 * 0.0752 * 0.3778

= 0.2846

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Generate categorical variables from continuous data by defining categories and assigning values, but you cannot obtain continuous data from categorical variables due to the loss of precision during the conversion process.

The reason why it is possible to generate categorical variables from continuous data, but not possible to obtain continuous data from categorical variables is due to the inherent nature of each type of variable.
To generate categorical variables from continuous data, you can follow these steps:
1. Define categories or groups based on a specific criterion. For example, dividing people into "short", "medium", and "tall" based on their heights.
2. Assign the continuous data values to the appropriate categories based on the defined criterion. For example, people with height less than 5 feet are considered "short", between 5 and 6 feet as "medium", and above 6 feet as "tall".
However, obtaining continuous data from categorical variables is not possible because categorical data does not have the same level of precision or granularity as continuous data. For instance, if you only know that someone is "tall," you cannot determine their exact height, as the information is lost when converting continuous data to categorical data.

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Step-by-step explanation:

it decreases the fastest, where it drops the most feet in the same period of time.

the dots are made in 2 seconds intervals.

between the seconds 6 and 8 the ball drops from 65 ft to 25 ft (a drop of 65 - 25 = 40 ft).

bergen the seconds 8 and 10 the ball drops from 25 ft to 5 ft (a drop of 25 - 5 = 20 ft).

and then between the seconds 10 and 12 the ball drops from 5 ft to 0 ft (a drop of 5 ft).

so, A is the right answer. with 40 ft in 2 seconds the ball is dropping the most (= the fastest) between the seconds 6 and 8. which means the slope is negatively the steepest there = the height is decreasing the fastest.

Answer:

Volume of a cone = 1/3•pi r•r•h

V = 1/3•pi•2•2•8

V = 33.49333333333333

V = 33.5 inches squared

I hope this helps! Have a good day! :)

The volume of the considered cone whose heigth is 8 inches and radius of the base is 2 inches is 33.5 cubic inches approximately.

Suppose that the radius of considered right circular cone be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

\(V = \dfrac{1}{3} \pi r^2 h \: \rm unit^3\)

Right circular cone is the cone in which the line joining peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.

The missing image for this problem is attached below.

For this case, the radius is of 2 inches, and height is of 8 inches, thus, the volume of the considered cone is:

\(V = \dfrac{1}{3} \pi r^2 h \: \rm unit^3 \approx \dfrac{1}{3} \times 3.14 \times (2)^2 \times 8 \approx 33.51 \approx 33.5 \: \rm in^3\)

(rounded to the nearest tenth, which is first place to right of the decimal point.

Thus, the volume of the considered cone whose heigth is 8 inches and radius of the base is 2 inches is 33.5 cubic inches approximately.

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Answer:

x = 11 cos 22 = 11 * .927 = 10.2

Answer:

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Answer:

B is the correct answer

Step-by-step explanation:

Hope it helped have a great day

Step-by-step explanation:

36 x 60 is the table

  the table cloth extends x inches over every side  (x off each side = 2x)

    (36 + 2x ) ( 60 + 2x)  =  3700               <===  expand  to solve

           4x^2 + 192 x + 2160 = 3700         re-arrange

            4x^2 + 192x - 1540 = 0  

                       Use Quadratic Formula to find x = 7  inches

Answer:

Degrees = Radians x 180/π

or

Degrees = 57.2958  x radians

Step-by-step explanation:

1 radian = 180/π degrees

1 radian = 57.2958 degrees

Multiply radians by this factor of 57.2958  to get the equivalent measure in degrees

π radians = 180°

2π radians = 360° which is the number of degrees in a circle

For anything greater than 2π radians you will have to subtract 360°

For example, 7 radians using the formula is 7 x (57.2958  ) ≈ 401.07°

But this still falls in the first quadrant, so relative to the x-axis it is
401.07 - 360 = 41.07°

Step-by-step explanation:

The equation of a circle written in the form (x−h)2+(y−k)2=r2 where (h,k) is the center and r is the radius. The circle centered at the origin with radius 1; its equation is x2+y2=1.

Hope it help!!!

Answer: (1,9) and x=1

Step-by-step explanation: vertex is also known as the turning point of the graph, which is the point at which the gradient of the graph changes sign in this case it is the coordinate (1,9)

axis of symmetry is an equation of a line which will split the graph into two symmetrical parts as in two parts that can reflected and laterally inverted showing no changes. in this case, the line would pass through the vertex vertically which is the line with a gradient of 1 not passing the through the y axis so it equals x=1