Answer:
A pythagorean identity means that for any angle [tex]\theta[/tex], [tex]sin^2\theta+cos^2\theta=1[/tex].
This also means [tex]1+tan^2\theta=sec^2\theta \mbox{ and } 1+cot^2\theta=csc^2\theta.[/tex] The symbol, theta ([tex]\theta[/tex]) represents one of the acute angles in the right triangle. The hypotenuse (familiarly c in the regular pythagorean theorem) is 1. The triangle base is [tex]cos\theta[/tex], and the height (side perpendicular to the base, making a right angle) is [tex]sin\theta[/tex]. The angle theta is opposite the [tex]sin\theta[/tex] side.
Step-by-step explanation:
The pythagorean theorem applies to right triangles, which always have a 90 degree angle. Pythagorean identities are used to simplify trigonometric expressions/evaluate trig functions and to find the trig ratios in a right triangle.
Answer:
The Pythagorean identities are
[tex]sin^{2} x + cos^{2} x = 1\\1+ tan^{2} x = sec^{2} x\\1 + cot^{2} x = csc^{2} x\\where\\csc x = \frac{1}{sinx} \\cot x = \frac{cosx}{sinx} or \frac{1}{tanx} \\tan x = \frac{1}{cotx} or \frac{sinx}{cosx} \\sec x = \frac{1}{cotx}[/tex]
No matter what the value of x (the angle degree amount) is, sin²x+cos²x is equal to 1
When given a side length of a right triangle you will be able to use one of these identities to find the angle amount
100 POINTS!! NEED ANSWER WITH WORK ASAP!!
Coach Bennet’s high school basketball team has 14 players, consisting of six juniors and eight seniors. Coach Bennet must select three players from the team to participate in a summer basketball clinic.
How many different groups of three players are possible for Coach Bennet to select?
Answer:
See below ~
Step-by-step explanation:
This is a combination because the order in which the players are selected is not important.
Number of ways
14! / 11! 3!14 x 13 x 12 x 11! / 11! x 3 x 214 x 13 x 2364 waysApply combination
[tex]\\ \rm\Rrightarrow ^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
So
[tex]\\ \rm\Rrightarrow ^{14}C_3[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{14!}{3!(14-3)!}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{14(13)(12)(11!)}{3!11!}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{14(13)(12)(11)}{6}[/tex]
[tex]\\ \rm\Rrightarrow 14(13)(2)(11)[/tex]
[tex]\\ \rm\Rrightarrow 4004[/tex]
press the link and tell the answers pls
Answer:
wE NEED MORE CLARIFICATION
Step-by-step explanation:
What is the equasion
What is the link
Answer:
im passing this concept trust me answer is 34.8
Step-by-step explanation:
I have a question about this please see attachment below.
Answer:
Step-by-step explanation:
help help help help help help
Answer:
The scale factor is 5 because the increase in each side of the shape is *5
Write an equation of the line that passes through the point (6,-9) with the given slope m= 3
Answer:
[tex]y = 3x - 27[/tex]
Step-by-step explanation:
[tex]y - y0 = m(x - x0) \\ y - ( - 9) = 3(x - 6) \\ y + 9 = 3x - 18 \\ y = 3x - 27[/tex]
5. A square on the coordinate plane has vertices
at A(-3,0), B(1, 2), C(2,-1), and D(-2,-4). After a
dilation using a scale factor of 3, what are the
new coordinates of D'?
Reason:
Multiply each coordinate of D(-2,-4) by the scale factor 3 to get (-6, -12)
In other words, triple each coordinate of point D.
This trick only works if the center of dilatioin is the origin.
Assume you are going to buy a new Nissan Rouge priced at $28250 and after the deal you have found out that the sales tax is 10%. Estimate the answer.
Answer:
≈2825
Step-by-step explanation:
28250*10%≈2825
Pay attention to the ≈ sign
x+5= 3(x-4) + 5
What is the answer
Step-by-step explanation:
x + 5 = 3x -12 + 5
x + 5 = 3x - 7
Subtract 5 from both sides....
x + 5-5 = 3x -7 - 5
x = 3x - 12
Change the sign ...
12 = 3x - x
12 = 2x
12/2 = x
x = 6
hence 6 is the answer.......
[tex]\large\textsf{\textbf{Answer\::}}[/tex]
x=6
[tex]\large\textsf{\textbf{Calculations\::}}[/tex]
First , use the Distributive Property :
x+5=3(x-4)+5
x+5=3x-12+5
x+5=3x-7
subtract 3x on both sides :
x-3x+5=-7
-2x+5=-7
Subtract 5 on both sides :
-2x=-7-5
-2x=-12
divide by -2 on both sides :
x=6
We've found the value of x : x = 6 .
[tex]\footnotesize\text{hope\:helpful~}[/tex]
There are 30 days in November.
It’s rains on 3/5 of them
Work out the number of days when it does not rain.
(3/5) × 30 = 3 × 6 = 18 days it won't rain
30 - 18 = 12 days it will rain
hope it helps...!!!
find the equaton of the line passing through the points (2,11) and (-8, -19) y= ?x ?
Find the slope:
(-19 - 11) / (-8 - 2) = (-30/-10) = 3
Find the y intercept:
y = mx + b
11 = 3(2) + b
b= 5
So equation is:
y = 3x + 5
The sum of two numbers is -34. The difference of the two numbers is 14. What are the two numbers?
Answer:
the no. are -10 and -24
when we add -10 with -24 we get -34
Will give 100 points if you answer im so tired please answer fast
Which of the following are NOT organizational structure for an informative essay?
A. cause and effect
B. chronological
C. equal parts
D. problem solving
For which value of a does Limit of g(x) as x approaches alpha not exist?
The value of a where the Limit of g(x) as x approaches alpha not exist are -1 and 1
Limit of a functionThe limit of a function is the limit of a function as x tends to a value.
From the given graph, you can see that the function g(x) goes large at the point where the arrows orange and purple point down from the x-coordinates -1 and 1.
Hence the value of a where the Limit of g(x) as x approaches alpha not exist are -1 and 1
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Carmen has 4 baby bunnies. Each bunny weighs 1/5 of a pound. How much do the bunnies weigh all together?
Step-by-step explanation:
The answer is 0.8 as a fraction is 4/5
Yesterday, there were 80 problems assigned for math homework. Deb got 72 problems
correct and 8 problems incorrect. What percentage did Deb get correct?
Answer:
90%
Step-by-step explanation:
Do 72/80 to find the decimal
72/80=0.9
Then to convert decimal to percent move the decimal point two times to the right.
0.9=90%
Some children entered a dirt bike race. Sammi came in 12 minutes before Ali. Ali came in 9 minutes after Zack. Conner came in 4 minutes after Ali. Zack finished in 38 minutes. How many minutes did it take for Sammi to finish the race?
Show that the equation x^3 + x - 3 = 0 has a solution between 1 and 2
When x = 1:
1³ + 1 - 3 = -1
When x = 2:
2³ + 2 - 3 = 7
Since f(x) = x³ + x - 3 is continuous, it follows from the intermediate value theorem that for some c in the interval (1, 2), we have f(c) = 0, since f(1) < 0 < f(2).
Which expression is equivalent to [4(x + 9)]/ 2/3
Answer:
36+2.67
Step-by-step explanation:
I hope this is correct
Identify the range of the exponential function?
Answer:
The range of an exponential function, or any function is all the possible y values the function can spit out.
In MOST exponential functions they will be x>0
I am talking about the standard form: y = a * b^x
I cannot tell you the range for YOUR exponential function without seeing it first.
A sample of restaurants in a city shows that the average cost of an appetizer is $6.32 with a standard deviation of $0.47. A brand new restaurant wants to get noticed by offering appetizers for a much lower price. To determine the lower price, should the formula use a z-value that is greater than or less than -1?
I couldn't figure out how to answer a specific question on the site, but the answer is "Less than -1" because they are looking for a price that is lower then the average, or mean price. It should be -1 standard deviation or lower.
Hope this helps someone
To determine the lower price, the formula should use a z-value that is less than -1.
How to utilize the z-value?We are given;
Mean; x' = $6.32
Standard deviation; s = $0.47
A positive z-score indicates the raw score is higher than the mean average while a negative z-score indicates the raw score is below the mean average.
Now, we want to find out the lower price from the definition above, we have to use a negative z-score which in this case will be -1.
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I need the answer urgently please !!
Answer:
y = 2x
Step-by-step explanation:
Parallel line share the same slope, therefore we can put any parallel line of y = 2 (x + 1) in equation as: y = 2x + k
As the parallel has to intercept with point (2/3, 1/3), simply put the coordinate into the equation to get value of k
2/3 = 2(1/3) + k
k = 0
Therefore the equation of this parallel line is y = 2x
Find the sum of the series:
It diverges
Step-by-step explanation:
it is an alternating sequence hence it will diverge
PLEASE HELP WILL MARK BRAINLIEST
Answer:
17/18pi or 2.97
Step-by-step explanation:
170 degrees to radian
170 * pi / 180 degrees
so, 170pi/180
17/18pi or 2.97
Why is dividing a fraction by 3 and then multiplying by 2 the same as multiplying by 2/3?
please i need it now
thrill drop to nearest food. Number of minutes
Find and interpret the mean absolute deviation of the data. $4.6,8.5,7.2,6.6,5.1,6.2,8.1,10.3$ The mean absolute deviation is . The values differ from the mean by an average of .
Using it's concept, it is found that:
The mean absolute deviation is 1.45.The values differ from the mean by an average of 1.45.What is the mean absolute deviation of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.In this problem, the mean of the data-set is given by:
M = (4.6 + 8.5 + 7.2 + 6.6 + 5.1 + 6.2 + 8.1 + 10.3)/8 = 7.075.
Hence, the mean absolute deviation is given by:
MAD = (|4.6-7.075| + |8.5-7.075| + |7.2-7.075| + |6.6-7.075| + |5.1-7.075| + |6.2-7.075| + |8.1-7.075| + |10.3-7.075|)/8 = 1.45
Then:
The mean absolute deviation is 1.45.The values differ from the mean by an average of 1.45.More can be learned about the mean absolute deviation at https://brainly.com/question/3250070
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89 90 91 92 96 96 99 99 find the median
Answer: The median is 96
Step-by-step explanation:
8 - 3(2-(3 + 1)2 = 8.2)
Celine hosts a podcast about computers, and Paul hosts a podcast about parenting. Both podcasts have a set duration for each episode. Last year, Celine released 39 episodes and Paul released 42 episodes, for a total of 7,869 minutes of content. This year, Celine released 14 episodes and Paul released 41 episodes, which lasted a total of 6,117 minutes. How long is each episode?
Using a system of equations, it is found that each Celine episode is 65 minutes long and each Paul episode is 127 minutes long.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given by:
Variable x: Length of a Celine episode.Variable y: Length of a Paul episode.Last year, Celine released 39 episodes and Paul released 42 episodes, for a total of 7,869 minutes of content, hence:
39x + 42y = 7869
Then:
[tex]y = \frac{7869 - 39x}{42}[/tex]
This year, Celine released 14 episodes and Paul released 41 episodes, which lasted a total of 6,117 minutes, hence:
14x + 41y = 6117.
Since [tex]y = \frac{7869 - 39x}{42}[/tex]:
[tex]14x + 41\frac{7869 - 39x}{42} = 6117[/tex]
14x - 38.07x = -1564.64.
x = 1564.64/24.07
x = 65.
[tex]y = \frac{7869 - 39 \times 65}{42} = 127[/tex]
Hence, each Celine episode is 65 minutes long and each Paul episode is 127 minutes long.
More can be learned about a system of equations at https://brainly.com/question/24342899
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