In a right triangle with an angle of 53.1 degrees, and sides 3/5 and 4/5, the sine is 4/5, the cosine is 3/5, and the tangent is 4/3. aThese methods and results are a fundamental part of understanding trigonometric functions in Mathematics.
Explanation:In this scenario, you were given a right triangle inscribed in the first quadrant of the unit circle. The angle of the triangle is given as 53.1 degrees, the horizontal length (adjacent side) is 3/5, and the vertical length (opposite side) is 4/5. We can calculate the trigonometric functions based on this. Trigonometry revolves around the relationship between side lengths of triangles and the angles they form.
Sine (sin) of an angle is defined as the ratio of the length of the side that is opposite the angle to the length of the longest side of the triangle (hypotenuse). Here, sin(53.1) = Opposite/Hypotenuse = 4/5.
The Cosine (cos) of an angle is defined as the ratio of the length of the adjacent side of the angle to the hypotenuse. So, cos(53.1) = Adjacent/Hypotenuse = 3/5.
The Tangent (tan) of an angle is the ratio of the sine of the angle to the cosine of the angle, which also equals the ratio of the opposite side to the adjacent side. Tan(53.1) = Sin(53.1)/Cos(53.1) = (4/5) / (3/5) = 4/3.
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The sine, cosine, and tangent of an angle in a right triangle inscribed in the first quadrant of the unit circle are respectively equal to the ratios of opposite/hypotenuse, adjacent/hypotenuse, and opposite/adjacent sides. So, in your case where the triangle has an angle of 53.1 degrees, horizontal length 3/5, and vertical length 4/5, sinθ = 4/5, cosθ = 3/5, and tanθ = 4/3.
Explanation:In the right triangle you mentioned, the hypotenuse is the radius of the unit circle which is 1, the horizontal length (adjacent side, often represented as x) is 3/5, and the vertical length (opposite side, often represented as y) is 4/5. The quoted angle, usually symbolized as θ, is 53.1 degrees. With this information, we can calculate the trigonometric functions as follows:
Sine (sin) of θ is defined as the ratio of the opposite side to the hypotenuse. So, sinθ = y/h = 4/5 Cosine (cos) of θ is the ratio of the adjacent side to the hypotenuse. So, cosθ = x/h = 3/5 Tangent (tan) of θ is the ratio of the opposite side to the adjacent side. So, tanθ = y/x = (4/5) / (3/5) = 4/3 Learn more about Trigonometric Functions here:
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What's 49 to the power of 9, times 10 divided by 7 equal???
Answer:
2.32630514 x 10^15
Step-by-step explanation:
The volume of a rectangular prism is represented by the function x^3+9x+6x-16.The length of the box is x+2, while the height is x+8. Find the expression representing the width of the box
Answer:
Width = (x -1)
Step-by-step explanation:
Volume of rectangular prism = x³ + 9x² + 6x - 16
length * height *width = x³ + 9x² + 6x - 16
(x + 2)(x + 8 )* width = x³ + 9x² + 6x - 16
Find the value of x below
Answer: should be 21
Step-by-step explanation:
please help asap so confused
Answer:
B
Step-by-step explanation:
Pleaaase helppp meee im being timedd please explain too and i will be marking brainliest thank u :)
Answer:
224 cubic in
Step-by-step explanation:
l*w*h / 3
12*14*4=672
672/3=224 cubic in
HELP ME PLEASE 15 POINTS
you deposit $300 in a savings account the accounts earns 12% simple interest per year what is the interest and balance earned at 6 years
Answer:
$516, interest earned is $216
Step-by-step explanation:
12% of 300 is 36
36y+300, y is years
36(6)+300=516
ASAP
Which graph shows Robby when he is: standing still, starts running and is speeding up and when he is at constant speed.
Answer:
first graph shows he is standing still
second one is he is at constant speed.
third one is starts running and is speeding up
hope it please pretty please mark brainliest
please help me out on this , thank you!
diameter: QU
radius: TV
chord: RS
d) 2 units
Answer:
a) Diameter: UQ
b) Radius: VT
c) Chord: SR
d) 2
Step-by-step explanation:
A student wants to sign up for a swimming class that charges $5 an hour. His parents are willing to spend up to $100 for swimming
lessons. Write an inequality representing the possible number of hours he could take swimming lessons for.
Answer:
[tex]x\leq 20[/tex]
Step-by-step explanation:
Given:
Charges of one hour swimming class = $5
Maximum amount that parents are willing to spend for swimming = $100
To find: inequality representing the possible number of hours, a student could take swimming lessons
Solution:
An inequality compares two values such that either one value is less than, greater than, or not equal to another value.
Let x represents number of hours spend by a student in swimming class.
As maximum amount that parents are willing to spend for swimming is $100 and charges of one hour swimming class is $5,
[tex]5x\leq 100\\x\leq \frac{100}{5} =20\\x\leq 20[/tex]
Jana is ordering a list of numbers from least to greatest.
StartRoot 7 squared EndRoot, StartRoot 7 EndRoot, Four-fifths, StartRoot 0.8 EndRoot, (StartRoot 5 EndRoot) Squared
Which statement can be used to create her list?
A: StartRoot 0.8 EndRoot is less than Four-fifths because 0.8 = four-fifths and the square root of a number less than 1 is less than the number itself.
B: StartRoot 7 EndRoot is greater than StartRoot 7 squared EndRoot because StartRoot 7 squared EndRoot = 7 and the square root of a number greater than 1 is greater than the number itself.
C: (StartRoot 5 EndRoot) squaredis less than StartRoot 7 EndRoot because (StartRoot 5 EndRoot) squared = 5 and StartRoot 7 EndRoot is between 6 and 8.
D: StartRoot 7 EndRoot is greater than Four-fifths because Four-fifths is less than 1 and the square root of a number greater than 1 is greater than 1.
Answer:
The correct option is D
Step-by-step explanation:
The given numbers are
√(7²), √7, 4/5, √0.8, (√5)²
Now, let us check their real values.
√(7²) = 7
√7 ≈ 2.646
4/5 = 0.8
√0.8 ≈ 0.894
(√5)² = 5
Now, checking the options,
A doesn't apply
B doesn't appy
C doesn't apply
D applies because √7 = 2.646 is greater than 4/5 = 0.8 because 4/5 is less than 1 and the square root of a number greater than 1 is greater than 1.
give the function
What transformations to the linear parent functi
g(x) = 2x - 5? Select all that apply.
Answer:
-2x+g(x)=-5
Step-by-step explanation:
subtract 2x and move it to the other side
Vertically Stretched by a factor of 2
Shift down 5 units.
Geometry | Surface Area | Need Help On One!
Answer: the answer is ccc
Step-by-step explanation: hey
What is the scale factor?
1
1.25
2
2.5
Answer:
2
Step-by-step explanation:
The scale factor represented her is 2. You are going from 1 to 2, so multiply by two.
You are also going from 1.25 to 2.5, so multiply this by 2 as well.
A scale factor tells us how many time greater a measurement gets.
Which trait different among the species of that animal
Answer:
beak
Step-by-step explanation: did the edg
3. How much would $900
invested at 6% interest
compounded continuously
be worth after 4 years?
Answer: $1,144.12
Step-by-step explanation:
In matrix T how many minutes did caller 3 spend calling caller 4?
Answer:
52
Step-by-step explanation:
Did it on edge.
Answer:
52
the next one is 63 minutes
thank me later
In a school of 900 students, there are 360 boys and 540 girls. Which change would result in the greatest ratio of boys to girls?
A Increase of the number of girls by 100
G decrease the number by girls by 100
H increase the number of boys by 100
J decrease the number of boys by 100
Answer:
G decrease the girls by 100
Step-by-step explanation:
Pls helpppp !!!! Giving 12 points for answer
Answer:
b. 15 x 20
Step-by-step explanation:
By mistake, you added salt instead of sugar to the
oil. How can you remove the salt?
Answer: Evaporate the water by boiling it in a pot with a lid or another container. This separates both substances as the boiling point for water is much lower than salt, this method is called simple distillation.
Answer:
Salt is ionic, and oil is covalent. If you add water, the salt will dissolve in the water, and the oil will float to the top. You could then skim the oil and start over with sugar. To double-check, you could even make sure the oil does not conduct electricity!
Step-by-step explanation:
Which expression is equivalent to [tex]\sqrt128x^{8} y^{3} z^{9}[/tex]? Assume [tex]y\geq 0[/tex] and [tex]z\geq 0[/tex].
A - [tex]2x^{2} z^{2} \sqrt8y^{3} z[/tex]
B - [tex]4x^{2} yz^{3}\sqrt 2x^{2}[/tex]
C - [tex]8x^{4} yz^{4} \sqrt2yz[/tex]
D - [tex]64x^{4}yz^{4} \sqrt2yz[/tex]
Answer:
[tex](C)8x^4z^4\sqrt{2yz}[/tex]
Step-by-step explanation:
We want to determine an expression equivalent to: [tex]\sqrt{128x^8y^3z^9}[/tex]
[tex]\sqrt{ab} =\sqrt{a}*\sqrt{b}[/tex]
Therefore:
[tex]\sqrt{128x^8y^3z^9}=\sqrt{128}*\sqrt{x^8}*\sqrt{y^3}*\sqrt{z^9}[/tex]
[tex]=\sqrt{64*2}*\sqrt{x^{4*2}}*\sqrt{y^{2+1}}*\sqrt{z^{8+1}}\\=8\sqrt{2}*\sqrt{x^{4*2}}*\sqrt{y^2*y}*\sqrt{z^{8}*z}}[/tex]
[tex]=8\sqrt{2}*x^4*y \sqrt{y}*z^4\sqrt{z}\\=8*x^4*z^4*\sqrt{2}*\sqrt{y}*\sqrt{z}\\=8x^4z^4\sqrt{2yz}[/tex]
Answer:
C on edge2020.
Step-by-step explanation:
Trust me on this one.
:D
Plz help, what did I do wrong. Find the tangents of the acute angles in the right triangle. Write each answer as a fraction.
The tangents of the acute angles in a right triangle can be calculated by taking the ratio of the side opposite the angle to the side adjacent to the angle.
Explanation:In a right triangle, the tangent of an acute angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Let's say the acute angles of the right triangle are A and B, and the sides opposite to them are denoted as A and b, respectively. Then, the tangents of the angles A and B can be calculated as:
Tan(A) = a/b
Tan(B) = b/a
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The tangents of the acute angles in the right triangle as a fraction can be expressed as;
[tex]Tan R=\frac{45}{28}[/tex][tex]Tan S=\frac{28}{45}[/tex]What is the tangents of the acute angles?Using trigonometry; Trigonometry is the area of mathematics that deals with particular angle functions and how to use them in computations. In trigonometry, an angle can have six common functions. The terms sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc) are their names and abbreviations.
[tex]Tangent=\frac{opposite}{adjacent}[/tex]
Considering the triangle
[tex]Tan R=\frac{45}{28}[/tex]
[tex]Tan S=\frac{28}{45}[/tex]
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What is the surface area for this?
It is 6 sq. units. I hope you do well. Have a wonderful day.
Solve the inequality. Graph the solution.
w+6≤−3
Answer: w<-9 With the line underneath
Step-by-step explanation:
Find 1/5 divided by 1/2.
Answer:
2/5
Step-by-step explanation:
Flip the second fraction, change the divide to multiply, and simplify:
(1/5)/(1/2) = (1/5) x (2/1) = 2/5
2/5 is your answer.
~
Answer:
2/5
Step-by-step explanation:
1/5 divided by 1/2
there is this thing called KFC to find the answer
KFC: keep flip change
u keep the first number which is 1/5
then flip division to multiplication
1/5 times 1/2
then change 1/2 to 2/1
1/5 times 2/1 = 2/5
Select the correct answer.
What is credit?
A.
an arrangement in which you receive money, goods, or services now in exchange for the promise of payment later
B.
an arrangement in which you receive goods or services in exchange for other goods and services
C.
an arrangement in which you receive money now and pay it back later with fees
I need the answer ASAP!!!! A.K.A. Right Now:(
Answer:
ypur answer would be a.
Credit is an arrangement where goods, services, or money are provided in the present with the promise of future payment, typically going into debt.
Credit is an arrangement where you receive money, goods, or services now and agree to pay for them later. This includes transactions with a credit card, where you obtain a good or service without immediate payment, but with a promise to pay the credit card company later, often with interest. Credit transactions essentially involve going into debt, as they create an obligation to pay in the future.
Choosing the correct answer from the provided options:
An arrangement in which you receive money, goods, or services now in exchange for the promise of payment later.
An arrangement in which you receive goods or services in exchange for other goods and services.
An arrangement in which you receive money now and pay it back later with fees.
The correct answer would be (A) since it entails receiving money, goods, or services now with the promise of payment at a later date, which matches the definition of a credit transaction.
Two positive integers have a product of 18.
One integer is twice the other. What are the
integers?
Answer: 3,6
Step-by-step explanation:
Drag each number to the correct location on the equation. Not all numbers will be used.
ABC and RST are similar and have the same orientation. The hypotenuse of RST is on the same line as the hypotenuse of ABC and is twice the length of AB.
What is the equation of the line that contains the hypotenuse of RST?
-18
9
3
-6
-3
-9
6
18
Answer:
The equation of the hypotenuse line is y = -3·x + 9
Therefore, the correct options are -3 and 9
Step-by-step explanation:
The question asks to fill the boxes
y = _ x + _
We note that the equation is that of a straight line of the form;
y = m·x + c
Where:
m = Slope of the straight line graph and
c = Y intercept, that is the y-coordinate of the point on the line where x = 0
From the graph, we find the slope as follows;
[tex]Slope = \frac{y_2 - y_1}{x_2 -x_1} = \frac{(-9) -0}{6-3} = -3[/tex]
Therefore, m = -3
The y intercept is found by extending the hypotenuse line to the point where it touches the y axes that is at x = 0;
From the graph, it is observed that the line, when extended, touches the y axes at the point y = 9, therefore, c = 9
Hence we have, the equation of the hypotenuse line is y = -3·x + 9.
Answer:
y = -3x + 9
Step-by-step explanation:
Have a good day.
What does 6 - 6 + 3 =
Answer:
3
Step-by-step explanation:
Step-by-step explanation:
6 - 6 + 3
0 + 3
3
How many inches are in 3 feet
Answer:
36 inches.
Step-by-step explanation: