Find the answer to each trigonometric function below. ​

Find The Answer To Each Trigonometric Function Below.

Answers

Answer 1

Answer:

Sin A = [tex]\frac{opposite}{hypotenuse} =\frac{32}{40} =\frac{4(8)}{5(8)} =\frac{4}{5}[/tex]Cos C = [tex]\frac{adjacent}{hypotenuse} =\frac{16}{34}=\frac{2(8)}{2(17)} =\frac{8}{17}[/tex]Tan A = [tex]\frac{opposite}{adjacent} =\frac{21}{20}[/tex]

Related Questions

Which of the following statements are always true?


A trapezoid is a rhombus.

A trapezoid is a parallelogram.

A trapezoid is a quadrilateral.

A trapezoid is a rectangle.

Answers

Answer:

„A trapezoid is a quadrilateral.” ⇒ true

Step-by-step explanation:

This is a trapezoid. It is a quadrilateral with one pair of parallel sides while other sides are non-parallel. Here, the opposite angles are alternate, that is, they have together 180°.

Isosceles trapezoid

An isosceles trapezoid is a trapezoid with congruent base angles and congruent non-parallel sides. Here, the base angles are the same.

The line segment joining the midpoints of the parallel sides is perpendicular to the bases and the diagonals are the same in length.

Right-angled trapezoid

Trapezoid with two right angles and necongruent non-paralell sides.

Good luck:)

Una recta pasa por los puntos A(-40) y B(2,-3).calcular su área

Answers

Answer:

Supongo que la pregunta completa es:

"Una recta pasa por los puntos A(-4, 0) y B(2, -3)"

Luego dice "calcular su área", pero una recta es un elemento unidimensional (los cuales no tienen área, el área es un concepto bidimensional).

Por lo que el área de esta recta no está definida.

Ignorando esto, podemos encontrar la ecuación que define a nuestra recta.

Sabemos que una recta se escribe como:

y = a*x + b

donde a es la pendiente y b es la ordenada al origen.

Sabemos que para una recta que pasa por los puntos (x₁, y₁) y (x₂, y₂), la pendiente será:

a = (y₂ - y₁)/(x₂ - x₁)

Entonces, para nuestra recta que pasa por los puntos (-4, 0) y (2, - 3) la pendiente será:

a = (-3 - 0)/(2 - (-4) )

a = -3/6 = -1/2

Entonces nuestra línea es algo como:

y = (-1/2)*x + b

para encontrar el valor de b, usamos el hecho de que esta línea pasa por el punto (2, -3)

esto significa que cuando x = 2, tenemos que tener y = -3

reemplazando esos dos valores obtenemos

-3 = (-1/2)*2 + b

-3 = -1 + b

-3 + 1 = b

-2 = b

La ecuación que define a esta recta es:

y = -(1/2)*x  - 2

Nuevamente, el área de esta recta no está definida, por lo que no podemos calcular el área de esta recta.

Given: ABCD is a parallelogram.

Prove: ∠A and ∠D are supplementary.

Parallelogram A B C D is shown.

By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are
angles. Because AB and DC are
, the same-side interior angles must be
by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.

Answers

Answer:

By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are  

✔ same-side interior

angles.  Because AB and DC are  

✔ parallel

, the same-side interior angles must be  

✔ supplementary

by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.

Step-by-step explanation:

Answer:

The answer above is correct!

The correct options are:

First box: option D. same-side interior

Second box: option C. parallel

Third box: option D. supplementary

Step-by-step explanation:

Hope this helped - just got it right on edge!

Brainliest would be greatly appreciated :)

These tables of values represent continuous functions. In which table do the values represent an exponential function?​

Answers

Answer:

c

Step-by-step explanation:

An exponential function is a function where the number is raised to a constant power

exponential function is usually in the form : f(x) = [tex]a^{x}[/tex]

a is positive and not equal to 1

x is a real number

to determine which option is an exponential function, determine which of the options have a common ratio

Option A :

28/7 = 4

49 / 28 = 1.75

option C

12 / 4 = 3

36 /12 = 3

the correct answer is C

Which statement is not always true for a parallelogram?
A. Consecutive angles are supplementary.
B. Diagonals are congruent.
C. Opposite sides are congruent.
D. Opposite angles are congruent.

Answers

Answer: B. Diagonals are congruent.

Explanation:

If the diagonals are congruent, then we'd have a rectangle. Any rectangle is a parallelogram, but not the other way around.

If we had a non-rectangular parallelogram, with none of the angles 90 degrees, then the diagonals will not be the same length.

Choices A, C and D are true for any parallelogram (rectangle or not).

Help and explain please and thank you !!!!!!!

Answers

Answer:

[tex]q = 3[/tex]

Step-by-step explanation:

[tex]3q−2=7[/tex]

[tex]3q=7+2[/tex]

[tex]3q=9[/tex]

[tex]q = \frac{9}{3} [/tex]

[tex]q = 3[/tex]

Hope it is helpful....
Option C is correct. The other person is wrong. They forgot the two lines flip the equation. This is an equation that can be solved. Look at the picture below to understand the simplified steps. Give brainiest plz. I have never had it before. Thx.

what is the point-slope equation of the line with slope -12 that goes through the point (5,3)

Answers

Answer:

the correct answer is c

Step-by-step explanation:

because we use formule when we write a equation

What is the value of this expression?

Answers

Answer:

-3

Step-by-step explanation:

Step 1: Solve (-2+(-1))^2/3 3

           1. -2+(-1) = -3

           2. (-3)^2 = 9

           3. 9/3 = 3

Step 2: Solve (-4)^2-17 -1

           1. 3/-1

Step 3: Simplify 3/-1 = -3. I hope this helped and please don't hesitate to reach out with more questions!

Proportional relationships between x and y help anyone

Answers

Answer:

The table on the right, the green table, is the one that shows a proportional relationship

Step-by-step explanation:

Which equation is the inverse of 2(x – 2)2 = 8(7 + y)?

Answers

Answer:

y = (4x - 71)/8

Step-by-step explanation:

2(x - 2)2 = 8(7 + y) solve for y instead of x for the inverse equation

4x - 8 = 63 + 8y

4x - 8 - 63 = 8y

4x - 71 = 8y

y = (4x - 71)/8

Answer:

A

Step-by-step explanation:

100 people study one language at a college. Some people study French, some study Spanish. The rest of the people study German. 54 of the people in Year 10 and the rest in Year 11. 20 of 29 people who study Spanish in Year 11. 31 people study German, 15 year 11 students study French. Work out the number of Year 10's who study German.​

Answers

Hello,

[tex]Data:\\\\\begin{array}{|c|c|c|c|c|}Year&French&Spanish&German&Total\\----&----&----&----&---\\Y10&-&-&-&54\\Y11&15&20&-&-\\----&----&----&----&---\\&-&29&31&100\\\end{array}\\\\Calculus:\\\\\begin{array}{|c|c|c|c|c|}Year&French&Spanish&German&Total\\----&----&----&----&---\\Y10&25&9&20&54\\Y11&15&20&11&46\\----&----&----&----&---\\&40&29&31&100\\\end{array}\\\\[/tex]

20 Year10's students learn German.

Answer:  20 students

========================================================

Explanation:

Make a table that has "Year 10", "Year 11", and "Total" as the three rows.

Then you'll have the columns "French", "Spanish", "German", "Total".

In the bottom right corner is the value 100. This is the grand total of everyone surveyed.

We're told that 54 people are in Year 10, which leaves 100-54 = 46 people in Year 11.

Along the "total" column on the far right side, we'll have 54, 46, and 100 in that order from top to bottom.

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

The info that "20 of the 29 people who study Spanish in Year 11" tells we have 20 people in year 11 who study Spanish, out of 29 people who study Spanish. That leaves 29-20 = 9 people in Year 10 who study Spanish. In the "Spanish" column, we have the values 9,20,29 in that exact order from top to bottom.

Next, we'll write 31 at the bottom of the "German" column to indicate 31 people study German.

The last bit of info is that "15 Year 11 students study French". So we'll write 15 in the "year 11" row and "french" column.

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

After all that info is sorted out and entered into the table, you should end up with what is shown in figure 1 (see attached image below). Ignore figure 2 for now as we'll work our way to getting there eventually.

The variables a,b,c,d are placeholders for positive whole numbers.  

There are probably a few approaches to take, but possibly the quickest is to notice that in the second row, we can say

15+20+c = 46

c+35 = 46

c = 46-35

c = 11

We have 11 students who study German in Year 11.

Once you determine c, it helps us find b. Focus on the German column to see that

b+11 = 31

b = 31-11

b = 20

There are 20 students in Year 10 who study German. You could stop here if you want.

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

Just two more variables to go.

Along the top row, we see that

a+9+20 = 54

a+29 = 54

a = 54-29

a = 25

and along the bottom row we see that

d+29+31 = 100

d+60 = 100

d = 100-60

d = 40

Or you could note along this first column to say

a+15 = d

d = a+15

d = 25+15

d = 40

So there are a few alternative paths to take.

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

All of the sections mentioned so far only involve filling out the table that is shown below in figure 2.

To answer the question your teacher wants to ask, which is how many Year 10 students study German, well that's simply 20 students. Refer to the conclusion of the previous two sections earlier.

By this point, we just simply copy the value from the completed table. This value being of course in the "Year 10" row and "German" column.

Find the measures of angles x,y and z in the figure. Show your work!!
WILL GIVE BRAINLIEST!!!

Answers

Answer:

x = 106°

y = 106°

z = 106°

Step-by-step explanation:

Find x:

Angle on straight line = 180°

[tex]74+x=180[/tex]

[tex]x=180-74[/tex]

x = 106°

Find y:

Angle y and x are corresponding angle which means x and y will be same

y = 106°

Find z:

Angle y and z are equal because, opposite angles are always equal.

z = 106°

hope this helps......

Answer:

x = 106°

y = 106°

z = 106°

Step-by-step explanation:

Please help guys I’m really struggling

Answers

Answer: y = -4x - 4

Step-by-step explanation:

Point slope form: y - y1 = m(x - x1)

Plug in y1 and x1, and m. M is the slope, x1 and y1 are the values for a coordinate. You don't need to plug anything in for y or x, just y1 and x1.

First, find the slope. To find the slope, use this "formula" : [tex]slope=\frac{rise}{run} =\frac{y1-y2}{x2-x1}[/tex]

Find two coordinate points. Let's use (-2,4) and (0,-4). Based on this, we know that y1 is 4, y2 is -4, x1 is -2, and x2 is 0. Plug these into the formula:

[tex]\frac{4--4}{-2-0} =\frac{4+4}{-2} =\frac{8}{-2}=-4[/tex]

Then, pick any point to plug into the equation. Let's use (0,-4)

Finally, plug everything into the equation:

y - - 4 = -4(x - 0)

y + 4 = -4x

y = -4x - 4

Answer:

[tex]y - 4 = - 4(x + 2)[/tex]

Step-by-step explanation:

Point Slope Form is a algebraic formula when we know a pair of points and it

slope.

It can be represented by

[tex]y - y_{1} = m(x + x _{1})[/tex]

where m is the slope and x 1 and y 1 are the points we know.

The coordinates we know are (-2,4) so we just plug it in.

We also know the slope of the line is rise/run. Look at point (-2,4). The next consecutive point before that is x intercept (-1,0). Let use the slope formula to find the slope

[tex] \frac{0 - 4}{ - 1 - ( - 2)} = \frac{ - 4}{1} = - 4[/tex]

So the slope or m is -4. Plug this in and the coordinates into point slope formula.

[tex]y - 4 = - 4(x - ( - 2)[/tex]

[tex]y - 4 = - 4(x + 2)[/tex]

That the answer.

Weiling took part in a Mathematics quiz which consist of 60 questions. For every correct answer, 3 marks would be awarded. For every wrong answer, 2 marks would be deducted. Weiling answered all the questions and scored a totał of 140 marks for the quiz. How many questions did she answer correctiy?

Answers

Answer:

Right answer = 52

Wrong answers = 8

Step-by-step explanation:

Every correct answer = + 3

Every wrong answer = - 2

Number of correct answers = x

Number of wrong answers = y

x + y = 60 - - - (1)

3x - 2y = 140 - - - (2)

From (1) :

x = 60 - y

Put x = 60 - y into (2)

3(60 - y) - 2y = 140

180 - 3y - 2y = 140

180 - 5y = 140

-5y = 140 - 180

-5y = - 40

y = 8

x = 60 - y

x = 60 - 8

x = 52

Right answer = 52

Wrong answers = 8

14. Phyllis wants to hire a clown to entertain at her daughter's birthday party.
• The clown charges a $25 travel fee.
• The clown also charges $5.50 per hour to entertain.
Which equation describes the relationship between the cost, C, Phyllis must pay and the number of hours, n, the clown provides
entertainment?

Answers

Answer:

C=25+5.50n

Step-by-step explanation:

C=25+5.50n where c is the total cost and n is the number of hours the clown entertains.

PLEASE HELP! Use the graph to solve the system of equations.

A. (-5,0)

B. (0,5)

C. (0,0)

D. (2,3)

Answers

Answer:

D

Step-by-step explanation:

Look for the intersection point of the two graphs

Another way:

You can just substitute each pair in both equations and u will find that d is the correct answer

A regular six sided die and an eight equal segment spinner, numbered 1 to 8, are rolled/spun simultaneously. What are the odds in favor of spinning a prime number on the spinner and rolling a number less or equal to 4 on the die?

Answers

Answer:

1/3

Step-by-step explanation:

In statistics, the probability of both an event A and an event B happening is equal to the probability of A happening multiplied by the probability of event B happening.

Let's say spinning a prime number is event A and rolling a number ≤ 4 is event B.

There are 8 possibilities on an eight equal segment spinner, and there are 4 prime numbers between 1 and 8 (including 8), which are 2, 3, 5, and 7. This means that the probability of spinning a prime number is 4/8, or 1/2

There are 6 possibilities on a die, and there are 4 possibilities of rolling a 4 or less (1, 2, 3, 4). Therefore, the probability of rolling 4 or less on a die is 4/6, or 2/3

The probability of both of these happening can be calculated by multiplying these together, so 1/2 * 2/3 = 2/6 = 1/3

The cost of 5 gallons of ice cream has a variance of 64 with a mean of 34 dollars during the summer. What is the probability that the sample mean would differ from the true mean by more than 1.1 dollars if a sample of 38 5-gallon pails is randomly selected? Round your answer to four decimal places.

Answers

Answer:

Probability[(X - μ) < 1.1] = 0.6046

Step-by-step explanation:

Given:

σ² = 64

Mean μ = 34

Find:

Probability[(X - μ) < 1.1]

Computation:

Standard deviation σ = √σ²

Standard deviation σ = √64

Standard deviation σ = 8

Probability[(X - μ) < 1.1] = Probability[-1.1 < (X - μ) < 1.1]

Probability[(X - μ) < 1.1] = Probability[-1.1/(8/√38) < (X - μ) < 1.1/(8/√38)]

Using z table

Probability[(X - μ) < 1.1] = 0.6046

Please help me I need this doing for my maths hwk and I really don’t know

Answers

The two white triangles have areas of 1/2 x 3 x 10 and 1/2 x 6 x 10 = 15 + 30 = 45 cm^2
The shaded area will be 10 x 10 - 45 = 55 cm^2
The percentage shaded = 55 / 100 x 100% = 55%

If A and B are independent events, P(A and B) =

Answers

Answer:

If A and B are independent events, then the events A and B' are also independent. Proof: The events A and B are independent, so, P(A ∩ B) = P(A) P(B). From the Venn diagram, we see that the events A ∩ B and A ∩ B' are mutually exclusive and together they form the event A.

Answer:

Step-by-step explanation:

Given A and B are independent events, P(A and B) = P(A)*P(B)

A swimmer can swim 50.2 meters in 1 minute. How far can he swim in half an hour? *

Answers

Answer:

1506meters

Step-by-step explanation:

1hour-60minutes

which means half an hour is 30minutes,so it's more like they are asking you to find how far the swimmer can swim in 30minutes

50.2-1min

x -30min

x=50.2×30

x=1506meters

1 hour - 60 mins
Half an hour - 60 x 1/2 = 30

30 minutes = 30 x 50.2 = 1506 metres

please help asap
Find the volume of this cone.
Use 3 for TT.
5in
V =

Answers

Answer:

V=πr2h /3

V=πr2h /3=π·2.52·8 /3≈52.35988

so the volume is 52.36 inches

Change 18° into sexagesimal seconds.​

Answers

Answer:

She's, "HOT"!

Step-by-step explanation:

$975, and there is 7 percent sales tax on the purchase.
How much is the sales tax?

Answers

Answer:

$68.25

Step-by-step explanation:

To get the sales tax, you must notice that the sales tax is 7% of 975.

That is equal to:

975 × 0.07

0.07 is equal to 7%, or [tex]\frac{7}{100}[/tex].

The answer to the equation is 68.25.

what is the answer to f (x) = 4x + 11

Answers

Step-by-step explanation:

x=4x+11

11=4x-x

11=3x

x=11/3

x=37

A problem with the pre-/post-measure of training evaluation is _____. Group of answer choices determining if the training was responsible for any changes in performance the difficulty of determining whether employees were randomly assigned to the control group determining the level of trainee competence at only one point in time the difficulty of constructing a good test

Answers

Answer: determining if the training was responsible for any changes in performance

Step-by-step explanation:

Training evaluation is the process of analyzing if training are efficient and effective.

A problem with the pre-/post-measure of training evaluation is determining if the training was responsible for any changes in performance.

(d) Statement one: Two adult tickets and three children tickets cost $43.00
Statement two: One adult ticket and one ticket for a child cost $18.50

(i) Let x represent the cost of an adult ticket and y the cost of a ticket for a child.
Write TWO equations in x and y to represent the information. (2mks)







(ii) Solve the equation to determine the cost of an adult ticket

Answers

Answer:

The cost of an adult ticket is $12.50

Step-by-step explanation:

The given information are;

The cost of two adult tickets and three children tickets = $43.00

The cost of one adult ticket and one child ticket = $18.50

Whereby the cost of an adult ticket is represented by x and the cost of a child's ticket is represented by y, we get the following two simultaneous equations;

2·x + 3·y = 43.00...(1)

x + y = 18.5...(2)

(ii) Multiplying equation (2) by 2 and subtracting the result from equation (1) gives;

2·x + 3·y - 2×(x + y) = 43 - 2×18.5 = 6

2·x - 2·x + 3·y - 2·y = 0 + y = 6

∴ y = 6

The cost of each the children ticket = $6.00

From equation (2), where y = 6, we get;

x + y = 18.5

∴ x + 6 = 18.5

x = 18.5 - 6 = 12.5

The cost of an adult ticket, x = $12.50.

Please help me ASAP!!!!!

Answers

Answer:

The surface area is 80.9.

Step-by-step explanation:

0.89 is the surface area

Amy earned $25 after babysitting for 3 hours if amy always charges the same rate,how much will she make after babysitting for 7 hours

Answers

Hi! Amy will earn $175 for 7 hours of babysitting. $25 X 7 is 175. I hope this helps, Goodluck :)

What is Write down the equation of the perpendicular line to y=3x+3?

Answers

Answer:

[tex]gradient = - \frac{1}{3} \\ { \tt{equation \: is \: y = - \frac{1}{3}x + 3 }}[/tex]

Answer:

The equation of a perpendicular line to  

y =( -1/3 )x+b (b is a normal number)

Step-by-step explanation:

1.Use the slope-intercept form to find the slope.

Tap for more steps...

m = 3

2. the perpendicular line to y=3x+3

must have a slope that is the negative reciprocal of the original slope.

thus,

m perpendicular  =  −1/3

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