The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.
The trigonometry ratios for a specific angle ‘θ’ is given below:
Trigonometric Ratios
Sin θ Opposite Side to θ/Hypotenuse
Cos θ Adjacent Side to θ/Hypotenuse
Tan θ Opposite Side/Adjacent Side & Sin θ/Cos θ
Cot θ Adjacent Side/Opposite Side & 1/tan θ
Sec θ Hypotenuse/Adjacent Side & 1/cos θ
Cosec θ Hypotenuse/Opposite Side & 1/sin θ
Note: Opposite side is the perpendicular side and the adjacent side is the base of the right-triangle. Also, check out trigonometric functions to learn about each of these ratios or functions in detail.Trigonometric Identities
Definition
Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
The three sides of the right triangle are:
Hypotenuse (the longest side)
Perpendicular (opposite side to the angle)
Base (Adjacent side to the angle)
Mr. Johnston needs a shelf to hold a set of textbooks, each 1 3/4 in. Wide. How many books will fit on a 35-in.-long shelf?
Answer:
20 books
Step-by-step explanation:
35/1.75
20
What is the constant of proportionality in the equation x 2
—- = ——
Y 9
Answer:
The Constant is 9/2
Which label on the cone below represents the vertex?
D
B
А.
С
ОА
D
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Helpppppp pleaseeee anyoneeeee!!!!!
Answer:
Create a function representing number of published articles per month:
[tex]a=12m+60[/tex]
Where:
a = total number of articles publishedm = number of months12 = slope = number of articles published per month60 = y-intercept = number of published articles at the start (month 0)Now substitute in the values of m to get the a-value:
m = 1 → a = 12(1) + 60 = 72m = 3 → a = 12(3) + 60 = 36 + 60 = 96m = 4 → a = 12(4) + 60 = 48 + 60 = 108m = 9 → a = 12(9) + 60 = 108 + 60 = 168mr.brown can type 80 words in two minutes. how many words can he type in 40 minutes?
Answer:
Step-by-step explanation:
True or false: You would get £3.50 in change from £10.00 if you bought a game for £7.50.
Please help me ASAP!!!!!!!!
Also please accept friend requests. :)
Thanks
Hi there!
»»————- ★ ————-««
I believe your answer is:
False.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
Change is the difference between how much you pay and the actual price of the item.⸻⸻⸻⸻
[tex]10.00 - 7.50 = 2.50[/tex]
⸻⸻⸻⸻
You would actually receive 2.50.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Solve the equation for all values of x.
-x(x – 8)(x^2+25) = 0
Answer:
0, 8, 5i, -51
Step-by-step explanation:
Just calculate algebraically. Let me know if you need a more elaborate explanation.
Triangle LMN is dilated by a factor of 1.25 to create triangle PQR what is the length of PQ A 20 cm B 18.75 cm C 17 cm di 12 cm
Answer:
See explanation
Step-by-step explanation:
Given
[tex]\triangle LMN \to \triangle PQR[/tex]
[tex]k = 1.25[/tex]
Required
The length of PQ
[tex]\triangle LMN \to \triangle PQR[/tex] means that the side lengths of LMN are multiplied by 1.25 to get the side lengths of PQR
And it implies that the following sides are corresponding
[tex]LM \to PQ[/tex]
[tex]MN \to QR[/tex]
[tex]LN \to PR[/tex]
So, we have:
[tex]PQ = k * LM[/tex]
[tex]PQ = 1.25* LM[/tex]
The question is incomplete.
Assume LM = 16, then:
[tex]PQ = 1.25* 16[/tex]
[tex]PQ = 20[/tex]
Write in standard form using integers. (ASAP help)
Is it a, b, c or d?
Answer: D
Step-by-step explanation:
To get rid of denominator in x, multiply everything by 3
3y=2x+21
Move the variables to the left
-2x+3y=21
đồ thị hàm số có bao nhiêu tiệm cận
Answer:
c
Step-by-step explanation:
I need help finding the answer
calculate the calculate the area of a circle whose diameter is 9 cm and pie is 22/7
Answer: 63.64 cm² (rounded to the hundredth place)
Step-by-step explanation:
Concept:
Here, we need to understand how to find the area of a circle.
The general formula is: A = πr²
π = 3.14 (or any constants that equals to this value)
r = radius = (1/2) diameter
Solve:
π = 22/7
r = d/2 = 9 / 4 = 4.5
A = πr²
A = (22/7) (4.5)²
A = (22/7) (4.5)²
A = 63.64 cm² (rounded to the hundredthe place)
Hope this helps!! :)
Please let me know if you have any question
Answer:
63.64 cm²
Step-by-step explanation:
r = d/2 = 9 / 4 = 4.5
A = πr²
A = (22/7) (4.5)²
A = (22/7) (4.5)²
A = 63.64 cm² (rounded to the hundredth place)
The midpoint of a segment is (6,−4) and one endpoint is (13,−2). Find the coordinates of the other endpoint.
A. (20, -6)
B. (-1, 0)
C. (-1, -6)
D. (20, 0)
Answer:
(-1,-6)
Step-by-step explanation:
(13 + x)/2 = 6
13+x= 12
x = -1
~~~~~~~~~~~~~~~
(-2 + y ) / 2 = -4
-2 + y = -8
y = -6
The coordinates of the other endpoint will be (-1,-6). The correct option is C.
What is the midpoint of the line?Divide the measurement of the distance between the two end locations by 2. The middle of that line is located at this separation from either end.
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
Given that the midpoint of a segment is (6,−4) and one endpoint is (13,−2).
The x- coordinate will be calculated as:-
(13 + x)/2 = 6
13+x= 12
x = -1
The y-coordinate will be calculated as:-
(-2 + y ) / 2 = -4
-2 + y = -8
y = -6
Therefore, the coordinates of the other endpoint will be (-1,-6). The correct option is C.
To know more about midpoints of the line follow
https://brainly.com/question/24431553
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In the figure, p is parallel to s. Trasnversals t and w intersect at point L.
Statement
What is the missing reason in step 3?
a.) Alternate interior angles along parallel lines are congruent
b.) Alternate exterior angles along parallel lines are congruent
c.) Corresponding angles along parallel lines are congruent
d.) Vertical angles are congruent
Option C
Corresponding angles along parrellel lines are conguerent
Answered by Gauthmath pls mark brainliest and comment thanks and click thanks
Jonathan has a comic book collection.
He tells you he sold half of them, but then bought 9 more new comics.
After this, Jonathan now has 81 comic books. How many comic books did he have before he sold some? a) Let b = the number of Jonathan had before selling some. Write the equation you would use to solve this problem.
What is the area for the circle?
Answer:
108 squared centimeters
Step-by-step explanation:
Let's exchange π for 3:
area = πr^2
= 3r^2
Now, as you can see, the radius of this circle is 6. Let's plug in the value of r:
area = 3r^2
= 3 · 6^2
Simplify 6^2:
area = 3 · 6^2
= 3 · 36
Multiply 3 by 36:
area = 3 · 36
area = 108
108 squared centimeters
For a party Justin buys a pizza and cuts it into 24pieces.Marc eats 1/6 of portion of the pizza and claudine eats 1/4 of what remains after both of them have eaten, Sylvia eats 1/3 of the result.Justin gets to eat what is left over what fraction of the pizza did Justin not eat
Answer:
Justin did not eat 7/12 of the pizza
Step-by-step explanation:
Marc eats 1/6 × 24 = 4, 24 - 4 = 20 left over
Claudine eats 1/4 × 20= 5, 20 - 5 = 15 left over
Sylvia eats 1/3 × 15 = 5, 15 - 5 = 10 left over
Justin eats 10.
24 - 10 = 14
Justin did not eat 14/24 = 7/12
The track team is trying to reduce their time for a relay race. Firstthey reduce their time by 2.1minutes. Then they are able to reduce that time by. If their final time is 3.96 minutes, what was their beginning time?
Answer:
8.16 or 6.06
Step-by-step explanation:
final is 3.96
they reduced their time twice by 2.1min
3.96+2.1+2. 1=8.16
3. The upward velocity of the water in a particular fountain is given in feet per second by
v = -32t + 44, where t is the number of seconds after the water leaves the fountain. While
going upward the water slows down until, at the top, the water has a velocity of zero. How long
does it take each water particle to reach its maximum height?
ll,,Step-by-step explanation:
The list below shows the number of books read by students in Aram’s class over the summer. What is the mode of the data
3,6,12,4,3,5,4,8,4,10,4,8,7,5,7
Answer:
the mode is 4 because it appears the most times in the detail set
Answer:
The mode is 3
Step-by-step explanation:
The mode of a set of numbers is whatever number appears the most. So here, you have four 4's, which is the most common number
A computer vauled at $30,000 is depreciated to $0 value over a 6 year period. find the rate of change in the computer's value per year.
Answer:
$5000 per year
Step-by-step explanation:
Given data
initial value of the computer= $30000
Final value = $0
Duration= 6years
Hence the rate of change in the value per year is
=30000/6
=$5000 per year
Can someone please help me find the answer to this question
Answer:
2,-2
you just have to look at the "menu" of choices and determine which one of the choices
fits the question... the f(-4) says you have to see which one of the three
choices has -4 in it ...
the middle one does -4≤x≤1 -4 is for sure in the range
this question #1 answer is "2" because the result is always a 2 for that choice...
the next question put in 3 ... three is greater than 1 (that is the third choice)
so the result is -(3) + 1 = -2
your answers are 2, and -2
Step-by-step explanation:
please find the value of x
Answer:
x = 5.9
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan 26 = x /12
12 tan 26 =x
x=5.85279
Rounding to the nearest tenth
x = 5.9
find f(x)•g(x)
f(x) = 3x - 1
g(x) = x^2 + 4
1. the question is asking you to multiply the two function expressions together
2. so all we do is (3x - 1)(x² + 4) which gives you 3x³ + 12x - x² - 4
En su cuenta bancaria, Sally tiene un saldo de -\$200.90−$200.90minus, dollar sign, 200, point, 90. Su amiga Shannon tiene un saldo bancario de -\$240.55−$240.55minus, dollar sign, 240, point, 55. ¿La cuenta bancaria de cuál amiga tiene más deuda
Answer:
Shannon
Step-by-step explanation:
Cuando se habla de lo que uno tiene, podemos usar números positivos.
Por ejemplo:
Pedro tiene 10 manzanas.
Para el caso de deudas, utilizamos números negativos, por ejemplo:
Pedro tiene -10 manzanas
Lo cual significa que Pedro debe 10 manzanas a alguien.
Entonces si le diéramos a Pedro 12 manzanas, el ahora tendría:
-10 + 12 = 2
Pedro tiene 2 manzanas, porque tuvo que entregar 10 de las 12 que le dimos para pagar su deuda.
Ahora vamos a resolver el problema:
La cuenta de Sally tiene un saldo de:
S = -$200.90
El signo negativo quiere decir que Sally tiene una deuda de $200.90
La cuenta de su amiga Shannon tiene un saldo de:
S' = -$240.55
De vuelta, el signo negativo quiere decir que Shannon tiene una deuda de $240.55
Con esto ya podemos concluir que la deuda de Shannon es mayor, por lo tanto Shannon es la que tiene más deuda.
Find the surface area of the cylinder in terms of T. 9 cm 19 cm Not drawn to scale O 211.5 cm 2 0 382.57 cm 2. O 333 77 cm2 o 504 лcm
Answer:
hey the answer is cylinder= 211.5л!
A chocolate factory made 369.84 pounds of milk chocolate in 2 days. How much milk chocolate, on average, did the factory make per day?
Answer: 184.92 lbs
Step-by-step explanation:
If the total amount they made in 2 days was 369.84, the avg per day would just be half of that
369.84/2=184.92 lbs
Answer:
The factory made 184.92 pounds of milk chocolate per day.
Step-by-step explanation:
369.84 ÷ 2 = 184.92
Have a great day :)
help me plz tyyyyyyyyyy
Answer:
c 6m hope to help
tjabssb
Answer:
3 m
Step-by-step explanation:
because all sides are equal
A company distributes candies in bags labeled 23.6 ounces. The local bureau of weights and Measures randomly selects 60 bags of candies and obtain a sample mean of 24 ounces . Assuming that the standard deviation is 3.2. At 0.05 level of significance , test the claim that the bags contain more than 23.6 ounces . what is your conclusion about the claim.
Answer:
The p-value of the test is 0.166 > 0.05, which means that there is not sufficient evidence at the 0.05 significance level to conclude that the bags contain more than 23.6 ounces.
Step-by-step explanation:
A company distributes candies in bags labeled 23.6 ounces. Test if the mean is more than this:
At the null hypothesis, we test if the mean is of 23.6, that is:
[tex]H_0: \mu = 23.6[/tex]
At the alternative hypothesis, we test if the mean is of more than 23.6, that is:
[tex]H_1: \mu > 23.6[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
23.6 is tested at the null hypothesis:
This means that [tex]\mu = 23.6[/tex]
The local bureau of weights and Measures randomly selects 60 bags of candies and obtain a sample mean of 24 ounces. Assuming that the standard deviation is 3.2.
This means that [tex]n = 60, X = 24, \sigma = 3.2[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{24 - 23.6}{\frac{3.2}{\sqrt{60}}}[/tex]
[tex]z = 0.97[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 24, which is 1 subtracted by the p-value of z = 0.97.
Looking at the z-table, z = 0.97 has a p-value of 0.834.
1 - 0.834 = 0.166
The p-value of the test is 0.166 > 0.05, which means that there is not sufficient evidence at the 0.05 significance level to conclude that the bags contain more than 23.6 ounces.
What is the slope of a line perpendicular to a line that contains the points (-5, 4) and (-2, 4)?
Select the best answer from the choices provided.
A.
0
B.
no slope
C.
8/3
D.
-3/8
