A right triangle has side lengths 3, 4, and 5 as shown below.
Use these lengths to flnd sinX, tanX, and cosX.

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Remember    S-O-H-C-A-H-T-O-A

   Sin = Opp / Hyp

    Cos = Adjacent  / Hyp

      Tan =Opp / Adj

You didn't say WHICH angle is X  , so you will have to finish this !


Related Questions

You want to take a trip to the beach, which costs $450. You have $900 in your bank account but must withdraw $60 each week to pay for groceries. What is the maximum number of weeks you can withdraw money and still have
enough to take your trip to the beach?
1. Set up the inequality:
2. Inequality Answer:

Answers

Answer:

see below

Step-by-step explanation:

450 + 60x <= 900

60x <= 450

x <= 7.5      ~ 7 weeks     After 7 weeks you will not have enougn money for a full week's worth of chow.  

Consider a sound at 91.9 dB and a second sound at 29.1 dB. How many times louder is the first sound compared to the second (to the nearest hundredth)?

Answers

Answer:

91.9/29.1=3.15807560137

so around 3.16

Luisa sells stuffed animals. She sells a stuffed elephant for $34.90, and the sales tax is 9% of the sale price. About how much is the sales tax on the elephant?

Answers

Step-by-step explanation:

Topic :- Percentage Increase

Percentage Increase Formula

= Cost price × Rate/one hundred

⇒ 34.90 × 9/100

⇒ 314.1/100

⇒ 3.141

Therefore, the sale tax of the elephant would be $3.141

Answer:

3.15

Step-by-step explanation:

Establish the identity.
sin theta * sec theta = tan theta

Answers

Answer:

In the picture is how to solve it

Step-by-step explanation:

Answer:

We are multiplying sin theta by sec theta, so we first start with valuing sec theta. Re-evaluate sec theta as sec(theta), and get the reciprocal.

[tex]sin(theta) * \frac{1}{cos(theta)}[/tex] <-- reciprocal

Combine sin() with the reciprocal of sec theta.

[tex]\frac{sin(theta)}{cos(theta)}[/tex]

Rewrite this combination as tan(theta)

[tex]tan(theta)[/tex]

Since the sides are equal, they count as an identity.

[tex]sin(theta) * sec(theta) = tan(theta)[/tex]

That said, sin(theta) × sec(theta) = tan(theta) is an identity.


Karen makes $6 per hour baby-sitting and $13 per hour giving music lessons. One
weekend, she worked a total of 8 hours and made $55. How many hours did she spend
baby-sitting?
a. 9
b. 1
C. 2
D.7

Answers

The total hours that Karen spent baby-sitting on the weekend is 7 hours.

What are the equations that represent the question?

a + b = 8 hours equation 1

6a + 13b = 55 equation 2

Where:

a = hours spent baby-sitting b = hours spent giving music lessons

How many hours was spent babysitting?

Multiply equation 1 by 13

13a + 13b = 104 equation 3

Subtract equation 2 from equation 3

7a = 49

a = 7 hours

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what are the properties that equilateral triangles and isosceles triangles have in common

Answers

Answer:

At least 2 sides that are the same lenth

Step-by-step explanation:

Equilateral triangle - All the sides have the same lenth

Isosceles triangle - 2 sides that are the same lenth

PLEASE HELP PLEASE HELP

Answers

Answer:

D -- Triangular prism

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

Help hemp help math math

Answers

39.2 is the answer it should work

Tickets to games of a local basketball team cost $12 for students and $16 for adults. For one game, $3700 was collected and 250 tickets were sold. How many of each kind of ticket were sold? Write and solve a system of equations.

Answers

Let x be the number of students tickets and y be the number of adult tickets,
equation 1. 12x + 16y = $3700
equation 2. x + y = 250
In equation 2, x= 250-y — equation 3
Put equation 3 into 1,
12(250-y) + 16y = $3700
3000 - 12y + 16y = $3700
4y = $700
y = 175
Sub y = $175 into equation 2
x + 175 = 250
x = 75
The number of students ticket sold is 75 and the number of adult ticket sold is 175.

What are the coordinates of vertex J of the pre-image?
O (0, -4)
O (0, -1)
0 (0,0)
0 (0, 4)

Answers

Answer:

(0, -4)

Step-by-step explanation:

J: (0, -2)

Since the equation: [(1/2) x, (1/2) y] was used to create the image, the opposite would create the answer.

x: (2) × 0 = 0

y: (2) × (-2) = -4

(0, -4)

I hope this helps!

draw lines to divide the shape into parts with equal area. Write the area of each part as a unit fraction

Answers

The unit fraction for an area (or anything, for that matter) divided into n equal parts is 1/n.

What is a fraction?

A fraction represents a part of a number or any number of equal parts.

We have to draw lines to divide the shape into parts with equal areas.

The unit fraction for an area (or anything, for that matter) divided into n equal parts is 1/n.

The area of the first shape as a unit fraction is 1/2.

The area of the second shape as a unit fraction is 1/3.

The area of the third shape as a unit fraction is 1/6.

For 2 equal parts, it is 1/2.

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Which statement is true for all real values of theta?

Answers

Answer:

  (a)  sec²(θ) -tan²(θ) = 1

Step-by-step explanation:

The identity relation between sec(θ) and tan(θ) is ...

  tan²(θ) +1 = sec²(θ)

__

When tan²(θ) is subtracted from both sides of this equation, the result matches the first choice:

  sec²(θ) -tan²(θ) = 1

_____

Additional comment

This is a variation of the "Pythagorean" relationship between sine and cosine. There is a similar relation between cot²(θ) and csc²(θ).

  [tex]\sin^2\theta+\cos^2\theta=1\\\\\dfrac{\sin^2\theta}{\cos^2\theta}+\dfrac{\cos^2\theta}{\cos^2\theta}=\dfrac{1}{\cos^2\theta}\qquad\text{divide by $\cos^2\theta$}\\\\\tan^2\theta+1=\sec^2\theta[/tex]

12 less than the product of what number and 3 is 36

Answers

Answer:

16

Step-by-step explanation:

3x - 12 = 36

3x = 48

x = 16

Help me please i’ll mark u as brainliest:(

Answers

Answer:

It's X=3y = -9

Step-by-step explanation:

helping!!!

The Wisconsin Badgers football team has 2 22 regular season games and 1 11 bowl game left in their season. If they win all 3 33 games, they will make a total of 100 100100 million dollars in revenue. If they win their bowl game, but not all 3 33 games, they will make a total of 20 2020 million dollars in revenue. Under any other outcome, they will make just 10 1010 million dollars in revenue. Sports analysts are predicting that the Badgers have a 60 % 60%60, percent chance of winning each regular season game and a 40 % 40%40, percent chance of winning their bowl game. Sports analysts assume that each game is independent

Answers

Answer: 25.52

Step-by-step explanation: correct on khanacademy

Sara is a marketing analysis manager for a top cereal producer. Part of her job is to review product sales to grocery chains and if the contracted product shelf placement is the optimal location to maximize sales. Because of the large data sets, she is only interested in creating a small number of clusters to view the results. What type of clustering method would work best

Answers

If she is only interested in creating a small number of clusters.The type of clustering method that would work best is: k-means clustering.

What is k-means clustering?

k-means clustering can be defined as a quantization techniques that is used to divide or seperate or data into number of groups in which each of the observation is linked to a prototype cluster or vectors.

Based on the given scenario k-means clustering method is the best choice as this will result in efficiency and make her work faster and easier.

Therefore the type of clustering method that would work best is: k-means clustering.

Learn more about k-means clustering here:https://brainly.com/question/17241662

What is 25% of 48?
What is 150% of 30?

Answers

Answer:

#2 is 12 and #3 is 45

Step-by-step explanation:

Step 1:  Determine 25% of 48

[tex]48 * \frac{25}{100}[/tex]

[tex]48 * 0.25[/tex]

[tex]12[/tex]

Step 2:  Determine 150% of 30

[tex]30 * \frac{150}{100}[/tex]

[tex]30 * 1.5[/tex]

[tex]45[/tex]

Answer:  #2 is 12 and #3 is 45


please help me with math i’ll give you brainlist

Answers

40%
4/10 =40/100 =40%

please help and answer as soon as possible​

Answers

Answer:

c

Step-by-step explanation:

did it got a 100

Please mark brainliest

20 workers can produce 1000 products in 10 hours.
Assuming the efficiency per worker remains the same, how many products can 15 workers produce in 5 hours?

Answers

Using proportions, it is found that 375 products are produced with 15 workers in 5 hours.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we have that the rule of three are given as follows:

1000 products - 20 workers - 10 hours.

x products - 15 workers - 5 hours.

The measures are direct proportional, hence:

[tex]\frac{1000}{x} = \frac{20}{15} \times \frac{10}{5}[/tex]

[tex]\frac{1000}{x} = \frac{40}{15}[/tex]

Applying cross multiplication:

40x = 15(1000)

x = 15(1000)/40

x = 375.

375 products are produced with 15 workers in 5 hours.

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Write with fractional exponents. 3√y^2

Answers

3√y^2

We can write it as,

⇒ y 2/3

Because,

n√a  = a 1/n

please mark me branliest

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER

Answers

Step-by-step explanation:

< 2 = 37 = <4 (vertically opposite angles)

<3 = 180-37 = 144

<1 = 144

<2 = <8 = 37 ( alternate angles)

<3 = <5 = 144 (alternate angles)

<8 = <6 = 37 (vertically opposite angles)

<5 = <7 = 144 (alternate angles)

The circumference of the Earth is roughly forty thousand kilometres. Use this value to calculate the distance from the surface to the centre of the Earth.

Answers

Answer:

The distance to the center of the earth from the equator is 6,378 km or 33,963 miles, whereas the distance to the center of the earth from a pole is 6,357km or 3,950 miles. Complete answer: The average distance from the surface of the earth to its center is 6,371 km or 3,959 miles.

Functions pls help will give brainlest

Answers

Answer(s)

Problem 15: x = -16

Problem 12: y = 20

Problem 13: y = 7

Problem 14: x = -7

Write the equation for each translation of the graph of y=|1/2x-2| +3.

one unit to the right

Answers

An equation is formed of two equal expressions. The equation of the new graph will be y=|1/(2x-4)|+3.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation given is  [tex]y=\left|\dfrac{1}{2x-2}\right|+3[/tex], which is needed to be translated 1 unit to the right therefore, the value of x should be decreased by 1. Therefore, the equation of the new graph will be,

[tex]y=\left|\dfrac{1}{2(x-1)-2}\right|+3\\\\\\y=\left|\dfrac{1}{2x-2-2}\right|+3\\\\\\y=\left|\dfrac{1}{2x-4}\right|+3[/tex]

Hence, the equation of the new graph will be y=|1/(2x-4)|+3.

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The population sizes of many animal species rise and fall over time. Suppose that the population size of a certain species can be modeled by the following.

[tex]p(t) = 4096 - 1269cos(\frac{2\pi }{11} t)[/tex]

In this equation, p(t) represents the total population size and t is the time (in years). Suppose we start at t = 0 years.

During the first 11 years, when will the population size be 4700?

Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a year. (If there is more than one answer, enter additional answers with the "or" button.)

There are two answers

Answers

Solving the trigonometric equation, it is found that during the first 11 years, the population size will be of 4700 in 3.62 and 7.24 years.

What is the trigonometric equation for the population?

It is given by:

[tex]p(t) = 4096 - 1269\cos{\left(\frac{2\pi}{11}t\right)}[/tex]

It will be of 4700 when p(t) = 4700, hence:

[tex]p(t) = 4096 - 1269\cos{\left(\frac{2\pi}{11}t\right)}[/tex]

[tex]4700 = 4096 - 1269\cos{\left(\frac{2\pi}{11}t\right)}[/tex]

[tex]604 = - 1269\cos{\left(\frac{2\pi}{11}t\right)}[/tex]

[tex]\cos{\left(\frac{2\pi}{11}t\right)} = -\frac{604}{1269}[/tex]

[tex]\cos{\left(\frac{2\pi}{11}t\right)} = -0.47596532702[/tex]

[tex]\cos^{-1}{\cos{\left(\frac{2\pi}{11}t\right)}} = cos^{-1}{-0.47596532702}[/tex]

Then:

[tex]\frac{2\pi}{11}t = 2.06685766[/tex]

[tex]t = \frac{11 \times 2.06685766}{2\pi}[/tex]

[tex]t = 3.62k, k = 1, 2, ...[/tex]

Thus:

t = 3.62 x 1 = 3.62

t = 3.62 x 2 = 7.24.

The population size will be of 4700 in 3.62 and 7.24 years.

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Choose the inequality represented in the graph.

A. y ≤ x + 9
B. y ≥ -x + 9
C. y < -x + 9
D. y ≤ -x + 9

Answers

Answer:

D

Step-by-step explanation:

The solid line is y = -x + 9, and everything below it is shaded, so the correct sign is less than or equal to.

Putting the two pieces of information together, the equation you get is:

D. y ≤ -x + 9

30 POINTS JUST TELL ME THE ASNWER DONT EXPLAIN IT IM ON A TIGHT SCHEDULE

Answers

Answer:

1/4

Step-by-step explanation:

pleasee help I don't understand ​

Answers

Answer:

Let's say a factor in the watercycle is vegetation. Deforestation leads to less vegetation which means less transpiration which affects how the water reenters the atmosphere. In addition, the trees can no longer catch water in their leaves, absorb it, or filter pollutants through their roots before it runs off into say a local body of water.

Answer: i can not see it

Step-by-step explanation:

What is the value of a2 + 3b ÷ c − 2d, when a = 3, b = 8, c = 2, and d = 5?

Enter your answer below.

Answers

Answer:

the answer is 8

Step-by-step explanation:

a2+3b÷c-2d

3×2+3×8÷2-10

6+24÷2-10

6+12-10

18-10

=8

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