answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alexgriva [62]
2 years ago
7

Consider △DFE. What are the inputs or outputs of the following trigonometric ratios? Express the ratios in simplest terms.

Mathematics
2 answers:
meriva2 years ago
3 0
Answer:
sin F = 4/5
cos F = 3/5
tan D = 3/4

Explanation:
First, we have sin an angle = 4/5
In a right-angled triangle:
sin theta = opposite / hypotenuse
This means that in triangle DFE:
The hypotenuse = 5 units
one of the sides = 4 units
Use Pythagorean theorem to get the other side as follows:
hypotenuse^2 = side1^2 + side2^
25^2 = 4^2 + side2^2
side2^2 = 9
The second side of the triangle = 3 units

The special trig functions are as follows:
sin theta = opposite / hypotenuse
cos theta = adjacent / hypotenuse
tan theta = opposite / adjacent
From the attached figure and based on the calculations above:
sin F = 4/5
cos F = 3/5
tan D = 3/4
Hope this helps :)

Molodets [167]2 years ago
3 0

Answer:

Step-by-step explanation:

You might be interested in
The equation 3w + 4j = 39 is used to determine the number of water bottles w and the number of juice bottles j that can be bough
jarptica [38.1K]

Juice bottles are J, replace j with 6 in the equation and solve for w:

3w + 4(6) = 39

3w + 24 =39

Subtract 24 from both sides:

3w = 15

Divide both sides by 3:

w = 15/3

w = 5

You can buy 5 water bottles.

3 0
2 years ago
Read 2 more answers
In a bike race: Julie came in ahead of Roger. Julie finished after James. David beat James but finished after Sarah. In what pla
mel-nik [20]

write it out in the order they give

Julie , Roger

James , Julie, Roger

David, James, Julie, Roger

Sarah, David, James, Julie, Roger

David is in 2nd place

5 0
2 years ago
0.0000981 in scientific notation
Pachacha [2.7K]
9.81 times 10 to the -5th power
4 0
2 years ago
Read 2 more answers
Jonah was standing at an elevation somewhere between Negative 1 and one-half and Negative 2 and one-third meters with regards to
Agata [3.3K]

Options :

A number line going from negative 3 to positive 3 in increments of 1.

1 and StartFraction 5 Over 6 EndFraction meters

Negative 2 and StartFraction 3 Over 6 EndFraction meters

2 and StartFraction 3 Over 6 EndFraction meters

Negative 1 and StartFraction 5 Over 6 EndFraction meters

Answer:

Negative 1 and StartFraction 5 Over 6 EndFraction meters

Step-by-step explanation:

Jonah's position range :

Between - 1 1/2 meters and - 2 1/3 meters with respect to sea level

With regards to sea level and the range of position given ; Jonah's position will be below sea level, that is Jonah's position cannot be a positive location on the number line, thus all options with positive values are incorrect.

Hence Jonah's position will be any number on a number line located in between :

-2 1/3 and - 1 1/2

That is

-2 1/3 ≤ Jonah's location ≤ - 1 1/2

-2 1/2 ( this is less than - 2 1/3) (incorrect)

-1 5/6 lies in between the given range and is thus a possible position.

7 0
2 years ago
Tara takes her pulse in order to determine her resting heart rate, measured in beats per minute ( bpm ) (bpm)left parenthesis, s
laiz [17]

Answer:

Let x represent the number of minutes.

Lets y represents the number of beats.

Now consider the graph, when the time is equal to 1 min, the total beats are 60. We can say that this point can be taken in a coordinate plane as (1,60).

Similarly, when time is equal to 2 mins, total beats are 120, and when time is equal to 3 mins, total beats are equal to 180 mins. So the these points on the coordinate plane can be represented as (2,120) and (3,180)

Plot all the three points, and draw a line which joins them and extend the line. The line shows the proportionality relation between both values

3 0
2 years ago
Other questions:
  • Calvin wants to buy a car alarm that has a full price of $325, plus a 12% sales tax. Which is the better offer, a 35%-off sale o
    7·1 answer
  • There are 2000 pounds in a ton how can you write 2000 with and exponent
    8·2 answers
  • Which inequality does not belong with the other three? Explain your reasoning.
    7·1 answer
  • The harmonic motion of a particle is given by f(t) = 2 cos(3t) + 3 sin(2t), 0 ≤ t ≤ 8. (a) When is the position function decreas
    6·1 answer
  • Which is closest to the quotient 2,967 ÷ 0.003?
    8·1 answer
  • The College Board SAT college entrance exam consists of three parts: math, writing and critical reading (The World Almanac 2012)
    13·1 answer
  • Point Q is the centroid of △ABC. QE = _____
    9·1 answer
  • Can I please get help with this?
    11·1 answer
  • When Gene and Kelly were planning their trip to Paris, one United States dollar was worth about $\frac{7}{10}$ of a euro. Before
    5·2 answers
  • An aquarium has dimensions 2x feet, (x – 1) feet, and (x + 2) feet. The aquarium volume must be no more than 280 cubic feet.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!