90 POINTS PLEASE HELP Describe the three main trigonometry functions, their ratios and reciprocal functions.
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Answer and Step-by-step explanation:
There are three reciprocal trigonometric functions
making a total of six including cosine, sine, and tangent.
→The reciprocal cosine function is secant: sec(Ф)=1/cos(Ф).
→The reciprocal sine function is cosecant, csc(Ф)=1/sin(Ф).
→The reciprocal tangent function is cotangent, expressed two ways: cot(Ф)=1/tan(Ф) or cot(Ф)=cos(Ф)/sin(Ф).
We've already learned the basic trig ratios:
sin(A) = a/c
cos(B) = b/c
tan(C) = a/b
But there are three more ratios to think about:
→Instead of a/c, we can consider c/a
→Instead of b/c, we can consider c/b
→Instead of a/b, we can consider b/a
These new ratios are the reciprocal trigonometric ratios, and we’re about to learn their names.
The cosecant (csc)
The cosecant is the reciprocal of the sine. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle.
sin(A) = opp / hyp = a/c
csc(A) = hyp / opp = c/a
The secant (sec)
The secant is the reciprocal of the cosine. It is the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.
cos(A) = adj/hyp = b/c
sec(A) = hyp/adj = c/b
The cotangent (cot)
The cotangent is the reciprocal of the tangent. It is the ratio of the adjacent side to the opposite side in a right triangle.
tan(A) = opp/adj = a/b
cot(A) =adj/opp = b/c
Related Questions
The The U.S.based motorcycle manufacturer says that it expects to build 140,000 motorcycles this year, up from 126.000 last year. Find the percent of increase in production.
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Answer:
The us based motorcycle manufacturer says that it expects to build 140,000 motorcycles this year up from 126,000 last year.
This means the increased production is
144,000 - 126,000 = 18,000
The percentage change in production can
be found using the formula as listed below
PERCENTAGE INCREASE = change / initial × 100
Substitute the values we get
18,000/126,000 × 100
14.28 = percentage increase
The topic is critical path 12th grade and the subject is math of industry and government. Pls help and list the paths too ‼️‼️
Answers
Answer:
see below
Step-by-step explanation:
The difference between start and end times is the duration in each case.
The earliest start time is the latest of the earliest finish times of all predecessor tasks. These are computed working left to right.
The latest finish time is the earliest of the latest start times of all successor tasks. These are computed working right to left.
Where earliest and latest times are the same, the task is on the critical path. (It has no slack time.)
The above computations have been built into the attached spreadsheet. Here, predecessors and successors are handled manually. In appropriate scheduling software, they would be handled automatically by the specification of the task relationships.
Tara looks up hotel room prices for a holiday. A hotel has a 25% off sale on its prices. A VAT charge of 20% must be added on at the end of the transaction after any discount. If the regular price of a room is £160 per night, how much will Tara pay for 7 nights?
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Answer:
$1008Step-by-step explanation:
We begin by calculating the amount after the 25% discount
= regular price*0.75
=£160*0.75
=$120
We then continue by calculating the the amount that must be paid when 20% VAT is added
= 120*1.20
= $144
Now Tara is going to spend 7 nights
Hence she will have to pay
144*7= $1008
what is ml if the volume is 48cm cubic
Answers
Answer:
48 ml
Step-by-step explanation:
1 cubic centimeter is equal to 1 milliliter
Answer:
48ml
Step-by-step explanation:
1 cm³ = 1 ml
so,
48 cm³ = 48 ml
What is 36 ÷ ( 1 - |2-7| )?
Answers
Answer:
36 / (1 - |2 - 7|) = -9
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
cual es el resultado de esta operacion urge 27x - 6x
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Answer:
21x
Step-by-step explanation:
No más debes de restar 6 de 27 y obtienes 21 y agregas el x
help with all please
Answers
Answer:
13. 68
14. y = 0.50x + 8
15. y = 25x - 15
16. y = 7x - 1
17. [tex]a_n = 4 + 6(n-1)[/tex]
Step-by-step explanation:
13. f(3) means plug in 3 for x.
f(3) = 7(3)² + 5 = 7(9) + 5 = 63 + 5 = 68
14. Write out what you know. 0.50 inches per hour is the rate of snowfall, or your m, or your slope. m = 0.50. If x is hours passed and y is inches of snowfall, then you also know that at x = 4, y is 10. Plug these into the standard linear formula: y = mx + b => 10 = 0.50(4) + b
Solve for b:
10 = 0.50(4) + b
10 = 2 + b
b = 8
Remember, x and y are variables, not constants, but m and b are always the same for some given function. So your answer is y = 0.50x + 8
15. Write out what you know. If x is hours passed and y is distance from home in miles, then we need to find the slope and y-intercept using what you're given. How do you find the slope? Use this: [tex]m (or slope) = \frac{y_2 - y_1}{x_2 - x_1}[/tex].
You have two points given: (3, 60) and (7, 160). So [tex]m = \frac{160-60}{7-3} = \frac{100}{4} = 25[/tex]
Now, just use either of these points to find b, or your y-intercept.
y = mx + b
Let's just use (3, 60); either one would work though.
[tex]60 = 25(3) + b[/tex]
60 = 75 + b
b = -15
To make the equation, use the values for m and b that you found.
m = 25 and b = -15, so y = 25x - 15
16. In y = mx + b, b is the y-intercept, but it's also how much the graph shifts up or down from its "original" position. I don't really want to explain this, but you can experiment with y = x + something (like try y = x + 1, y = x - 1, y = x, y = x + 3) and you'll see the pattern of what I'm talking about. To move y = 7x + 3 down 4 units, just subtract 4 from 3 to get -1: you will get y = 7x - 1.
17. sorry I hope someone else gives u an explanation I'm kind of bored with these
In a class the ratio of boys to girls is 2: 1. There are 8 girls.
Work out the number of boys
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What is the algebraic notation of a figure is Translated 6 units left and 5 units up?
Group of answer choices
(x, y) --> (x + 5, y - 6)
(x, y) --> (6x, 5y)
(x, y) --> (x + 6, y + 5)
(x, y) --> (x - 6, y + 5)
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I need a step by step, please
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I hope this helps you
NEED HELP ASAP
given m||n find the value of x
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Answer: x= 17°
Step-by-step explanation:
The two measures have to add up to 180 degrees.
(7x -1) + (5x -23) = 180 combine like terms on the left side
12x - 24 = 180 add 24 to both sides
+24 +24
12x = 204 Divide both sides by 12
x = 17
WILL GIVE BRAINLIEST Pump it Up gym's daily revenue each can be modeled by R(x) = 5x where x represents the number of customers that visit the gym each day. The gym's daily costs can be modeled by the function C(x) = 2x + 150. Find the profit function P(x) if: P(x) = R(x) - C(x) P(x) = 7x +150 P(x) = 7x - 150 P(x) = 3x - 150 P(x) = 3x +150
Answers
Answer:
P(x) = 3x - 150
Step-by-step explanation:
Step-by-step explanation:
P(x) = R(x) - C(x)
Given:
R(x) = 5x
C(x) = 2x + 150
P(x) = 5x -(2x+150)
P(x) = 5x - 2x -150
P(x) = 3x - 150 <- Answer
Answer:
The profit function is P(x) = 3x-150
Step-by-step explanation:
Reason is R(x) = 5x
C(x)= 2x + 150
Plugin to P(x) = R(x) - C(x)
P(x) = 5x - (2x+150)
P(x) = 5x - 2x-150
P(x) = 3x-150
Hope this helps!
(pls mark brainliest)
5/6=x-10/3x+6 solution?
Answers
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 10}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ \frac{5}{6} = \frac{x - 10}{3x + 6} }[/tex]
Apply cross product property
⇒[tex] \sf{5(3x + 6) = 6( x - 10)}[/tex]
Distribute 5 through the parentheses
⇒[tex] \sf{15x + 30 = 6( x - 10)}[/tex]
Distribute 6 through the parentheses
⇒[tex] \sf{15x + 30 = 6x - 60}[/tex]
Move 6x to left hand side and change it's sign
⇒[tex] \sf{15x - 6x + 30 = - 60}[/tex]
Collect like terms
⇒[tex] \sf{9x + 30 = - 60}[/tex]
Move 30 to right hand side and change it's sign
⇒[tex] \sf{9x = - 60 - 30}[/tex]
Calculate
⇒[tex] \sf{9x = - 90}[/tex]
Divide both sides of the equation by 9
⇒[tex] \sf{ \frac{9x}{9} = \frac{ - 90}{9} }[/tex]
Calculate
⇒[tex] \sf{x = - 10}[/tex]
Hope I helped!
Best regards!!
MONEY Mrs. Rockwell lost money on
an investment at a rate of $4 per day.
Describe the change in her investment
after two weeks.
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Answer:
the answer is $56
Step-by-step explanation:
2 weeks = 14 days
14 (days) x $4 (per day) = 56
the change over 2 weeks is $56
Step-by-step explanation:2 weeks = 14 days
14 (days) x $4 (per day) = 56
ANSWER: $56
31 km
9 km find the area of the triangle
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A sampling frame a. is a list of population elements from which the sample will be drawn. b. is the list of population elements actually included in the sample. c. usually provides biased statistics. d. is a form of probability sampling.
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Answer:
A. is a list of population elements from which the sample will be drawnStep-by-step explanation:
Sampling frame is the list of people or items from which a sample is taken.
Sampling is used because it is almost impossible to study entire population. Sampling allows us to find information about a population on the basis of results from a subset of the population, without studying every individual. It is easier and cost effective process.
A sampling frame refers to A. a list of population elements from which the sample will be drawn.
Sampling frame simply means the actual set of units from where the sample will be drawn.A sampling frame consists of all the items that are in the population. Therefore, a sampling frame is a list of population elements from which the sample will be drawn.Read related link on:
https://brainly.com/question/17412791
the sum of two rational number is minus 4 by know if one of them is 13 by 6 them find the other
Answers
Answer:
the sum of two rational number is minus 4 by know if one of them is 13 by 6 them find the other
Step-by-step explanation:
let the second rational no. be x
then a/q,
13/6 + x = -4/9
x = -4/9 - 13/6
x = (-16 - 78)/36
x = - 94/36 or -47/18
x = -2.61111
I need help on number 2 I don’t understand it. it says what operation is indicated by the expression. A-d they are
A. 4y
B. 7/d
C. t+8
D. 3+t
I would really appreciate it it if someone would help me
Answers
Greetings from Brasil...
Here are the operations found:
4y = 4 · y → multiplication of 4 by y
7/d = 7 ÷ d → 7 by d division
t + 8 → sum of t with 8
3 + t → sum of 3 with t
Lilianna discovered that the ratio of kilometers to miles is 1 to 0.6 if its 60 kilometers to Moncton then how many miles does it take to get to Moncton.
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Answer: 36 miles.
Step-by-step explanation: Ratio of 1 to 0.6 means 1:0.6 or [tex]\frac{1}{0.6}[/tex].
So, if to Moncton is 60km:
[tex]\frac{1}{0.6}=\frac{60}{y}[/tex]
[tex]y=60.0.6[/tex]
y = 36
To Moncton, it is 36 miles.
what is the standard notation for the distance of 2.4x10^5 miles
Answers
Answer:
240,000
Step-by-step explanation:
You have to add 4 zeros to the answer and remove the decimal point to get the answer.
If you liked this answer please mark "Brainliest".
Write an algebraic expression that models the word phrase.
The product of 8 and the sum of a number x and 14
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Answer:
8(x + 14)
Step-by-step explanation:
The term product signifies multiplication in mathematics. However, in order to find a product, we must have two or more terms to multiply. Because we are finding the product of 8 and the sum of a number x and 14, we will place the sum in parentheses to show they are being added together.
Using this knowledge, we are left with the sum in parentheses (x + 14) and the number 8 to multiply it.
To simplify, this can be written as 8(x + 14).
Please help me i dont understand this question will mark brainlest
Answers
Answer:
6
Step-by-step explanation:
M is midpoint of LN, so 3x = 2x + 2
3x = 2x + 2
3x - 2x = 2x + 2 - 2x
x = 2
LM is = 3x, so it's 3.2 = 6 units
Hope this helps ^-^
stephanie has a recipe that calls for 2/3 tablespoons of vanilla to make 3 1/2 dozen cookies
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Answer:
4/21 tablespoons of vanilla
Step-by-step explanation:
Let's have the ratios:
2/3 tablespoons of vanilla per 3 1/2 dozen cookiesx tablespoons of vanilla per 1 dozen of cookiesIt is solved by cross multiplication as:
2/3 × 1 = 3 1/2 × x2/3 = 7/2xx = 2/3 ÷ 7/2x = 2/3 × 2/7x = 4/214/21 tablespoons of vanilla needed for 1 dozen of cookies
16) 14x-9y= -25
7x-y=-30
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Answer:
Step-by-step explanation:
14x - 9y = -25
-14x + 2y = 60
-7y = 35
y = -5
7x + 5 = - 30
7x = - 35
x = -5
(-5, -5)
What type of number is v5?
A) Whole number
B) Integer
C) Rational
D) Irrational
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Answer:
I'm pretty sure it's letter D
Step-by-step explanation:
The square root of 5 is irrational because a square root of a positive number is either an integer or irrational, and seeing that the square root of five is most definitely not a whole number, it is irrational.
The function f(x) = 2.5x + 75 is used to model the cost
of renting billboard space depending on the area, in
square feet, of the billboard, x, and including a standard
layout fee. The mathematical range for the function is
the set of real numbers
Which statement describes how the reasonable range
differs from the mathematical range?
a. The reasonable range contains only integers.
b. The reasonable range contains only positive rational
numbers
c. The reasonable range contains only integers greater
than 75
d. The reasonable range contains only positive rational
numbers greater than 75
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How 17 | 12. The Mad hatter is stocking up on tea for his
unbirthday parties. The market sells 5 boxes of tea
for $66 At this rate, how many boxes of tea can he
buy with $30?
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Answer:
About 2.3 boxes of tea
Step-by-step explanation:
If we divide the price by the number of boxes, in this case, 66 / 5 we would get 13.2. So the means that each box would cost $13.20. So if we divide 30 by the cost of each box we would get approximately 2.3 boxes of tea. Hope this helps :)
Subtract. Your answer should be a polynomial in standard form. (-7d2 – 5d f3 – 3f3) - (8d+ 4d f3 +253)
Answers
Answer:
-9df^3 - 3f^3 - 7d^2 - 8d - 15625
Step-by-step explanation:
A solid cubiod measures 7cm, 5cm,3cm. (a) Calculate the total surface area of the cubiod. (b) A cube has the same volume as the cubiod. Calculate the length of an edge of this cube
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Answer:
Te total surface area (TSA) of the cuboid is the sum of the area of its 6 faces
if the cuboid has width(w)=7 cm, Height (h)=3cm., length(h)=5cm
A=lw=5*7=35 cm²
A2=hw=3*7=21
A3=lh=5*3=15
TSA=2(lw+hw+lh)
TSA=2(35+21+15)
TSA=2(71)=142cm²
volume of the cubiod=l*w*h
V=lhw
V=7*5*3= 105 cm³
the length of an edge of this cube:
since it is a cube then all sides are equal l=w=h
√105= 10.247 ( rounded to the nearest hundredth)
((7, 6), (0,-1), (-7, -1), (-3, 2), (-5, 3) } Domain. Range
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The range is {-1,-1,2,3,6}.
:) hope you get a good grade.