Giving 100 Points And Brainliest
Find the value of the trigonometric ratio.


Responses


13/5


12/5


12/13


5/12

The total number of relations in the set s = {1,2,3} is given as follows:

9.

The total number of relations in a set is given by the cardinality of the square of the set.

The square of a set is composed by all the possible pairs that can be formed with the elements in the set.

The set for this problem is defined as follows:

s = {1, 2, 3}.

The set has a cardinality of 3, as it has 3 elements, hence the cardinality of the square of the set is given as follows:

3² = 9.

Which is the total number of relations in the set.

These relations are all the ordered pairs with elements of s, hence:

Relations = {(1,1), (1,2), (1,3), (2,1), (2,2), (2,3), (3,1), (3,2), (3,3)}

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A construction of a right-angled isosceles triangle whose equal side measure 2 cm is shown in the image attached below.

In Mathematics, an isosceles right triangle can be defined as a type of  right-angled triangle in which two (2) of its side lengths are equal and one of its angle is a right angle.

Generally speaking, the steps that are required for the construction of a right-angled isosceles triangle include the following:

In conclusion, triangle ABC (ΔABC) is the required right-angled isosceles triangle as shown in the image attached below.

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Answer:24.353333333

Step-by-step explanation:

The measure of ∠RQP is, 45°

The measure of ∠SPR is, 50°

The measure of ∠PSR is, 50°

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

In trapezoid PQRS,

PQ is parallel to SR, and diagonal PR is drawn.

And, SP = SR, SRP = 50°, and PRQ = 85°

Here, SP = SR

So, We get;

In Δ PSR; ∠PRS = ∠SPR = 50°

And, PQ is parallel to SR.

Hence, We get;

⇒ ∠SRP = ∠RPQ = 50°

Now, In Δ PQR;

⇒ ∠PRQ + ∠QPR + ∠PQR = 180°

⇒ 85° + 50° + ∠PQR = 180°

⇒ 135° + ∠PQR = 180°

⇒ ∠PQR = 180° - 135°

⇒ ∠PQR = 45°

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Answer:

Angle A is 66°

Step-by-step explanation:

< b  is equal to 57 because the opposite side lengths are equal.

The sum of the interior angles of a triangle is 180

180 - 57 - 57 = 66

Step-by-step explanation:

let the number of weeks be w

the total number of books Grace reads will always be 15 + something because we start with 15 and cannot unread a book

for each week, she reads 2 books. this can be represented as 2 * w

books Grace already read + books Grace reads each week = total books

15 + 2 * w = total books

The one-digit integers that satisfy the inequality k>0 are 1, 2, 3, 4, 5, 6, 7, 8, and 9.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R."

It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

A number is a line that is made up of positive and negative numbers with the distance between the preceding and succeeding unit to be 1.

The negative values on the number line are -1, -2, -3...-9 while the value greater than zero are 1, 2, 3, 4,...9

Hence the one-digit integers that satisfy the inequality k>0 are 1, 2, 3, 4, 5, 6, 7, 8, and 9.

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Answer: C

Step-by-step explanation:

10000(1+0.10)³
=10000(1.10)³
=10000*1.331
=13310

let's firstly convert the mixed fractions to improper fractions and then sum them up.

[tex]\stackrel{mixed}{1\frac{1}{3}}\implies \cfrac{1\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{4}{3}} ~\hfill \stackrel{mixed}{2\frac{2}{5}} \implies \cfrac{2\cdot 5+2}{5} \implies \stackrel{improper}{\cfrac{12}{5}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{equal sides}}{x+x}~~ + ~~\stackrel{\textit{third side}}{\left( x+\cfrac{4}{3} \right)} ~~ = ~~\stackrel{perimeter}{\cfrac{12}{5}}\implies 3x+\cfrac{4}{3}=\cfrac{12}{5}[/tex]

[tex]\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{15}}{15\left( 3x+\cfrac{4}{3} \right)=15\left( \cfrac{12}{5} \right)}\implies 45x+20=36\implies 45x=16 \\\\\\ \stackrel{\textit{equal sides}}{\boxed{x=\cfrac{16}{45}}}\hspace{10em}x+\cfrac{4}{3}\implies \cfrac{16}{45}+\cfrac{4}{3}\implies \stackrel{\textit{third side}}{\boxed{\cfrac{76}{45}}}[/tex]

Answer:

Step-by-step explanation:

Elimination is a method of solving a system of equations by adding or subtracting the equations from each other to eliminate one of the variables.

In this case, we will be using elimination to solve the system of equations:

-3x + 12y = 9

x - 4y = -3

Step 1: Multiply the first equation by -1.

(Multiplying by -1 switches the sign of every number in the equation)

3x - 12y = -9

Step 2: Add the two equations together.

3x - 12y = -9

+x - 4y = -3

______________

4x - 16y = -12

Step 3: Isolate the y-variable by adding 16y to both sides of the equation.

4x - 16y = -12

+16y +16y

______________

4x = -12 + 16y

Step 4: Divide both sides of the equation by 4 to isolate the y-variable.

4x = -12 + 16y

4/4 4/4

______________

x = -3 + 4y

Therefore, the solution to the system of equations is x = -3 + 4y.

Answer:

y = - [tex]\frac{1}{2}[/tex] x - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mc + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{1}{2}[/tex] x + 6 ← is in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

• Parallel lines have equal slopes , then

slope of parallel line = - [tex]\frac{1}{2}[/tex]

the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2

y = - [tex]\frac{1}{2}[/tex] x - 2 ← equation of parallel line

Answer:

---------------------------------

Use the compound interest formula:

Where A - future amount, P - invested amount, r- annual interest rate, n - number of compounds a year, t - number of years

Given:

Substitute known values and solve for P:

Step-by-step explanation:

x = number of deluxe staterooms on Pacific.

deluxe staterooms on Caribbean = x + 16

deluxe staterooms on Mediterranean = 4x - 28

1176 = x + (x + 16) + (4x - 28) = 6x - 12

1188 = 6x

x = 1188/6 = 198

so,

Pacific has 198 luxury staterooms.

Caribbean has 198 + 16 = 214 luxury staterooms.

Mediterranean has 4×198 - 28 = 792 - 28 = 764 luxury staterooms.

Answer:

it is 4

Step-by-step explanation:

the slope is always the number before x and so since 4 is before x then 4 is the answer

Answer:

I know it

Step-by-step explanation: Btw did somone already answer this?

The graph that has a slope of negative three halves and a y-intercept of 2 is the graph of a line passing through the points (0,2) and (3,0).

What is the slope?

One of the most important things to understand about lines is the definition of slope. The slope is the 'steepness' of the line, also commonly known as rise over run. We can calculate the slope by dividing the change in the y-value between two points over the change in the x-value.

To find the slope of the line, you can use the point-slope formula which is (y2-y1)/(x2-x1) = m,

where m is the slope and (x1,y1) and (x2,y2) are points on the line.

So using the given points in the question, we get (0-2)/(3-0) = -2/3 = -0.66 = -3/2.

And the y-intercept is the point where the line crosses the y-axis, which is 2 in this case.

Hence, the graph that has a slope of negative three halves and a y-intercept of 2 is the graph of a line passing through the points (0,2) and (3,0).

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Answer:

c.

Step-by-step explanation:

that is easy.

a matrix multiplied by a constant is multiplying every element in the matrix by that constant.

and subtracting a matrix from another is subtracting the elements on each position.

it is a simile as that.

for that reason I only need to look at the first, top left element to determine the correct answer :

-1×2 - 4×7 = -2 - 28 = -30

so, c. is the right answer.

the calculation in full :

2A =

-2 18 4

20 -20 4

-10 12 -10

4B =

28 -4 -4

24 -16 -12

-40 40 -28

so, 2A - 4B =

-30 22 8

-4 -4 16

30 -28 18

Answer:

We know that the ratio of female students to the total number of students is 4 to 9.

That means that for every 4 female students, there are 9 students in total.

So, we can set up the proportion:

4/9 = x/264

where x is the total number of students.

Solving for x, we get:

x = (4/9)*264 = 96

Since the ratio of teachers to students is 1 to 11, then for every 11 students there is 1 teacher, we can set up the proportion:

1/11 = y/96

where y is the total number of teachers.

Solving for y, we get:

y = (1/11)*96 = 8.72 ≈ 8

So, there are 8 teachers in the college.

Step-by-step explanation:

Answer:

[tex]\textsf{A)} \quad 5+3\sqrt{2}[/tex]

Step-by-step explanation:

Given rational expression:

[tex]\dfrac{4+\sqrt{2}}{2 -\sqrt{2}}[/tex]

To rationalise the denominator, multiply both the numerator and denominator by the conjugate of the denominator.

The conjugate of an expression is where we change the sign in the middle of the two terms.  Therefore, the conjugate of the denominator of the given expression is:

Multiply the numerator and denominator by the conjugate of the denominator:

[tex]\implies \dfrac{4+\sqrt{2}}{2 -\sqrt{2}} \cdot \dfrac{2 +\sqrt{2}}{2 +\sqrt{2}}[/tex]

Simplify:

[tex]\implies \dfrac{(4+\sqrt{2})(2 +\sqrt{2})}{(2 -\sqrt{2})(2 +\sqrt{2})}[/tex]

[tex]\implies \dfrac{8+4\sqrt{2}+2\sqrt{2}+\sqrt{2}\sqrt{2}}{4+2\sqrt{2}-2\sqrt{2}-\sqrt{2}\sqrt{2}}[/tex]

[tex]\implies \dfrac{8+6\sqrt{2}+2}{4-2}[/tex]

[tex]\implies \dfrac{10+6\sqrt{2}}{2}[/tex]

Reduce to its simplest form by dividing the numerator and the denominator by 2:

[tex]\implies 5+3\sqrt{2}[/tex]

Answer:

19.7

Step-by-step explanation:

A^2 + B^2 = C^2

8^2 + 18^2 = sqrt(388)

The study of choices people make to fulfill their unlimited needs and want even though there are limited resources is called Economics. Thus option A is correct.

Resources can be defined as the means through which the material is provided to people. This will be to know that the resources are properly allocated.

An economy is a region where products and services are produced, distributed, traded, and consumed. a social domain that places an emphasis on production-related practices, discourses, and material expressions. The factors that affect production, such as land, cash, labor, and natural facilities, are governed by economic structures.

Therefore, option A is the correct option.

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The height of the house with the ladder is 10.9 feet

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse.

The hypotenuse = 12

adjascent = 5

opp = x

hyp² = opp² + adj²

12² = 5² + x²

x² = 12² - 5²

x² = 144 - 25

x² =119

x² = √119

x= 10.9 feet

therefore the height of the house from the ladder is 10.9 feet

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Based on the graph of this quadratic function with vertex (-1, -4), the domain and the range are as follows;

Domain = {-3, 0.5}.

Range = {-4, ∞}.

In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.

Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

Note: The vertex of any quadratic function represents the minimum of the given function.

By critically observing the graph shown in the image attached below, we can reasonably and logically deduce the following:

Domain = -3 < x < 0.5 or [-3, 0.5].

Range = -4 < y < ∞ or [-4, ∞].

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Answer: The interest rates charged in both formulas are different.

Step-by-step explanation:

To begin with, the simple interest = PRT/100

In this, the interest is the same as the number of years.

For example, P=10,000 R=10% T=2yrs

SI = PRT/100

    = 10,000*10*2/100

    = 2000

This rupee 2000 is the same interest for two years.

compound interest = A= P(1+r/100)^n

In this, the interest changes every year up to the period of time.

For example, P= 10,000 R=10% N=2yrs

A= 10,000(1+10/100)^2

  = 10,000*11/10*11/10

   = 12100

I= A-P

 =12100-10000

 = 2100

This interest varies for 2 years.

Answer:

Step-by-step explanation:

The solutions to this equation are x = 1.273 and x = -0.273.

When x = 1.273, 3 cos (x) + 4 = 5.

When x = -0.273, 3 cos (x) + 4 = 5.

Rounding to 3 decimal places, the solutions to the equation on the indicated interval are x = 1.273 and x = -0.273.

Answer:

A= 110 degrees AND B= 140 degrees.

Y= 112 degrees and X= 157 degrees.

Step-by-step explanation:

Triangle XYZ is an isocoles triangle, because it has two congruent sides. 70 degrees is a measurement of an angle opposite of one of those congruent sides, so angle YXZ is also 70 degrees. By the triangle angle sum theorem, we can say that the measurement of angle YZX is 40 degrees. So, for the first triangle, by the linear pairs theorem, we can find the two missing angles.

A= 110 degrees AND B=140 degrees.

For the triangle on the right, we can use the triangle angle sum theorem to say that angle BDC is 68 degrees. Then, we can say that by the by the linear pairs theorem that angle ADE is 112 degrees.  From there, we need to look at the 23 degree measurement on the lower right triangle. We can see that the angle steadily rises on that line and then we can take 180-23 by the linear pairs theorem to conclude than angle BEA is 157 degrees. This can be confirmed by looking at the two innermost angles in the top right triangle. If you take 180-23-112, you will get 45. If you add 45 to 112, you will get 157.

Y= 112 degrees and X= 157 degrees.

Answer:

[tex]\sqrt{6}[/tex]

Step-by-step explanation:

In a 45-45-90 triangle to find the two shorter sides (a and b) are represented as the number n in this case n is [tex]\sqrt{3\\[/tex] . The hypotenuse on the other hand is can be found by doing n[tex]\sqrt{2\\}[/tex] so you multiply [tex]\sqrt{3}(\sqrt{2} )[/tex] to get [tex]\sqrt{6}[/tex]

The ordered pairs are (1,3) , (2, -1) , (3,-5) , (4,-9)

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: The equation as 4y+16x=28 or y+4x=7

putting (1,3) in the equation we get 3+4×1=7

Similarly we can find the ordered pair as (2, -1) , (3,-5) , (4,-9)

Hence, The ordered pairs are (1,3) , (2, -1) , (3,-5) , (4,-9)

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Answer: We can set up a system of equations to solve this problem. Let x be the number of quarters and y be the number of nickels. We know that:

x + y = 20 (the total number of coins)

0.25x + 0.05y = 4.20 (the total value of the coins in dollars)

We can use the first equation to solve for one variable in terms of the other, and then substitute that into the second equation to get a single equation with one variable.

For example:

x = 20 - y

0.25(20-y) + 0.05y = 4.20

5-0.25y + 0.05y = 4.20

5= 4.20

y = 20 - 5

y = 15

x = 20 - 15

x = 5

So Jada has 5 quarters and 15 nickels in her pocket.

Step-by-step explanation: