part 2. Find the value of the trig function indicated, use for that Pythagorean theorem to find the third side if you need it.
Answers
Answer: [tex]\bold{5)\ \cos \theta=\dfrac{\sqrt{11}}{6}\qquad 6)\ \tan \theta =\dfrac{8}{17}\qquad 7)\ \cos \theta = \dfrac{4}{3}\qquad 8)\ \cos \theta = \dfrac{\sqrt{10}}{10}}[/tex]
Step-by-Step Explanation:
Pythagorean Theorem is: a² + b² = c² , where "c" is the hypotenuse
[tex]5)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{3\sqrt{11}}{18}\quad \rightarrow \large\boxed{\dfrac{\sqrt{11}}{6}}[/tex]
Note: (15)² + (3√11)² = hypotenuse² → hypotenuse = 18
[tex]6)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{8}{17}\quad =\large\boxed{\dfrac{8}{17}}[/tex]
Note: 8² + 15² = hypotenuse² → hypotenuse = 17
[tex]7)\ \tan \theta=\dfrac{\text{side opposite to}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{20}{15}\quad \rightarrow \large\boxed{\dfrac{4}{3}}[/tex]
Note: hypotenuse not needed for tan
[tex]8)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{2}{2\sqrt{10}}\quad =\large\boxed{\dfrac{\sqrt{10}}{10}}[/tex]
Note: 2² + 6² = hypotenuse² → hypotenuse = 2√10
5) cosθ = [tex]\frac{\sqrt{11} }{6}[/tex] , 6) cosθ = [tex]\frac{8}{17}[/tex] , 7) tanθ = [tex]\frac{4}{3}[/tex] , 8) cosθ = [tex]\frac{1}{\sqrt{10} }[/tex]
What is pythagorean theorem ?If, a be the perpendicular, b be the base & c be the hypotenuse of a right angle triangle.
Then, [tex]c=\sqrt{a^{2}+ b^{2} }[/tex]
What are the trigonometric functions ?cosθ = (Side adjacent to θ)/(Hypotenuse)
sinθ = (Side opposite to θ)/(Hypotenuse)
tanθ = (Side opposite to θ)/(Side adjacent to θ)
What are the values of required trigonometric functions ?5) Hypotenuse = [tex]\sqrt{(3\sqrt{11}) ^{2} +15^{2} }[/tex]
= [tex]\sqrt{99+225}[/tex]
= [tex]\sqrt{324}[/tex] = 18
∴ cosθ = (Side adjacent to θ)/(Hypotenuse)
= [tex]\frac{3\sqrt{11} }{18}[/tex] =[tex]\frac{\sqrt{11} }{6}[/tex]
6) Hypotenuse = [tex]\sqrt{8^{2} +15^{2} }[/tex]
= [tex]\sqrt{64+225}[/tex]
= [tex]\sqrt{289}[/tex] = 17
∴ cosθ = (Side adjacent to θ)/(Hypotenuse)
= [tex]\frac{8}{17}[/tex]
7) tanθ = (Side opposite to θ)/(Side adjacent to θ)
= [tex]\frac{20}{15}[/tex] = [tex]\frac{4}{3}[/tex]
8) Hypotenuse = [tex]\sqrt{2^{2} +6^{2} }[/tex]
= [tex]\sqrt{4+36}[/tex]
= [tex]\sqrt{40}[/tex] = [tex]2\sqrt{10}[/tex]
∴ cosθ = (Side adjacent to θ)/(Hypotenuse)
= [tex]\frac{2}{2\sqrt{10} }[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]
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Related Questions
Which best describes the function?
Answers
Answer:
The last option on the list.
Step-by-step explanation:
Find the surface area
Answers
Answer:
401.92
Step-by-step explanation:
Bases: 2(4^2 π)=32π
Curved Surface: 12*(2*4π)=96π
96π+32π=128π=128(3.14)≈401.92
El que responda bien 5 estrellas y un gracias 7u7
Answers
Answer: AB=12
Los triangulos BCD y ADE son iguales por tener dos lados y el angulo comprendido respectivamente iguales. por tanto AE=DC=4
Luego AB = AE+EB = 4+8 = 12
An online company lets you download songs for $0.99 each after you have paid a $5 membership fee. Which domain would be most appropriate to calculate the cost to download songs? *
A.rational numbers greater than zero
B.whole numbers greater than or equal to one
C.integers less than or equal to zero
D.whole numbers less than or equal to one
Answers
Answer:
I assume that songs are $0.99 each. Let x represent the number of songs you download. Then the total cost of downloading x songs would be
C(x) = $5.00 + ($0.99/song)x
and ONLY integers = to or greater than 0 make sense here. The domain is [0, 100) assuming you cannot buy more than 100 songs.
Personally I'd give the answer as "2, whole numbers more than or equal to zero." However, IF you don't pay the membership fee until ready to actually order one or more songs, then "2, whole numbers greater than or equal to one" makes sense. You'd pay $5 plus $0.99 for one song, in that case.
Step-by-step explanation:
Amanda puts $1800 into an account that does not earn any interest. Every
month after that, she deposits the same amount of money. This sequence
represents her account balance for the first few months:
$1800, $2000, $2200,...
What is the explicit formula for the amount of money in her account at the
beginning of month n?
Answers
Answer:
a(n)=1800+(n-1)200
Step-by-step explanation
The usual formual is an=a1+d(n−1)
a1=The first number is the number you would start on
so 1800=a1
n=the number of times you would do it
you would usually put n-1 because the first number is already been put though the formula
d=the amount of change between each number
so 200=d
A(n)= a of n, like f(n) means f of n
so that why it is a(n)=1800+(n-1)200
i also got it right on A.pex
express in the form 1:n 5:15
Answers
Answer: n = 3
Step-by-step explanation:
You could treat these two ratios as fractions
[tex]\frac{1}{n} =\frac{5}{15}[/tex]
There are multiple ways in which you can do this, but Im going to teach you the most reliable way. Do cross multiplication by multiplying each side by the others denominators. 15 x 1 and n x 5 to get:
5n = 15
Divide each side by 5 to get n = 3
Please answer correctly !!!!!! Will mark brianliest !!!!!!!!!!
Answers
Answer:
The answer is No
Step-by-step explanation:
None of these match eachother or make any sense
Bill and Amy want to ride their bikes from their neighborhood to school which is 14.4 km away. It takes Amy 40 minutes to arrive at school. Bill arrives 20 minutes after Amy. How much faster (in km/h) is Amy than Bill for the entire trip?
Answers
Answer:
Amy is (21.6 - 14.4) 7.2 km/hr faster than Bill.
Distance = speed / time
Amy's speed
40 minutes = 40/60 = 2/3 hours
14.4 = speed / 2/3
Speed = 14.4 * 3/2 = 21.6 km/ hr
Bill speed
60 minutes = 1 hour
Speed = 14.4 km / hr.
A gambler rolls a die 100 times.
Which of the following is the most likely amount of sixes rolled?
Answers
Answer:
17
Step-by-step explanation:
A standard die has a 1/6 chance of rolling a 6.
Over 100 rolls, a 6 is likely rolled (1/6)*100 times.
100/6=16.66, approximately 17 times
a circle has a radius of 48 millimetres. What is the arc intercepted by a central angle that measures 3pi/4 radians? express your answer in terms of pi
Answers
Answer:
3π/4
Step-by-step explanation:
2xsquare-6x+3=0 by completing square method
Answers
Answer:
x = 2.36603 or 0.633975
Step-by-step explanation:
Here we want to solve the quadratic equation using the completing the square method.
2x^2-6x + 3 = 0
divide through by 2 first;
x^2 -3x + 3/2 = 0
x*2 -3x = -3/2
Half the x term will be -3/2 and squaring it is 9/4
we add this to both sides
x^2-3x/2 + 9/4 = -3/2 + 9/4
(x-3/2)^2 = 3/4
Finding square root of both sides
x-3/2 = √(3/4)
x = 3/2 ± √(3/4)
x = 3/2 + √(3/4) or x = 3/2-√(3/4)
which becomes
x = 2.36603 or 0.633975
why is, 9a is equivalent to 11a - 2a true ?
Answers
Answer:
9a is equivalent to 11a - 2a because 11a-2a is 9a.
Step-by-step explanation:
Find the surface area of the triangular prism. The base of the prism is an isosceles triangle.
Answers
Answer:
[tex]A=2\times25\times 44+14\times44+2\times\frac{14\times24}{2} =3152\; cm^2[/tex]
The surface area of the triangular prism is 3152 square cm if the base of the prism is an isosceles triangle.
What is a triangular prism?When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is the name given to this novel 3D object.
We have a triangular prism, is showing in the picture:
Here a = 25
b = 25
c = 14
h = 44
The surface area of the triangular prism is given by:
[tex]\rm A=ah+bh+ch+\dfrac{1}{2}\sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4][/tex]
Plug all the values in the formula we get:
A = 3152 square cm
Thus, the surface area of the triangular prism is 3152 square cm if the base of the prism is an isosceles triangle.
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solve 2x2 + 16x + 6 = 0 by completing the square. Round the solutions to the nearest hundredth
Answers
X= plus or minus the square root of 13 minus 4
Or in decimal form
X= -0.39. X= -7.61
What is the last step when finding the area of a compound shape?
Answers
Using the formula then calculator to get the ans and we must never forget to write the unit in squared form.
On a coordinate plane, Curtis lives at (-4,-6) and John lives at (-4,-3) . If each unit on the grid is a mile, how many miles apart are John and Curtis.
Answers
Answer:
3 miles
Step-by-step explanation:
Since the x coordinates are the same, we only need to find the distance between the y coordinates
-3 - -6
-3 +6
3 units
Each unit is 1 mile
3 units * 1 miles / 1 unit = 3 miles
I'll send a screenshot of the problem. I really look forward to an answer!
Answers
Answer:
a. 65
b. D
Step-by-step explanation:
The question asks for an expression that solves for the profit that the company will make from each phone. The expression would be 65x, where 65 represents $65 profit from each phone, since $50 is spent and $115 is made, 115-50 gives you the profit, $65
D is the answer because the question asks for the expression that shows the earnings, or how much is made from each phone
The two-way frequency table below shows data on mindset and attendance at practice for students in Mateus's study.
Complete the following two-way table of row relative frequencies.
(If necessary, round your answers to the nearest hundredth.)
Answers
The two-way frequency table is completed using the rule of division which is shown below.
[tex]\begin{matrix} &\rm Growth \ mindset &\rm Fixed \ mindset &\rm Raw \ total\\\\\rm Attended \ every\ practice &0.7 &0.3 &1\\\\\rm Missed\ at\ least\ 1\ practice & 0.1343 &0.8657 &1\end{matrix}[/tex]
What is the two-way frequency?Two-way frequency tables demonstrate the potential relationship between two pairs of categorical data visually. The frequency (count) information appears in the four (or more) interior cells of the table, with the categories designated at the top and left sides.
The two-way frequency table is completed below.
[tex]\begin{matrix} &\rm Growth \ mindset &\rm Fixed \ mindset &\rm Raw \ total\\\\\rm Attended \ every\ practice &0.7 &0.3 &1\\\\\rm Missed\ at\ least\ 1\ practice & 0.1343 &0.8657 &1\end{matrix}[/tex]
More about the two-way frequency link is given below.
https://brainly.com/question/26130888
Answer:
Step-by-step explanation:
0.7 0.3
0.13 0.87
Which of the following is most likely to be a relative minimum for this graph?
Answers
Answer: A (3, -4)
Step-by-step explanation:
A minimum is at the lowest point on the parabola. The minimum and maximum can be seen by looking at the vertex.
If you go right 3 spaces on the x-axis horizontally, then down 4 spaces vertically on the y-axis you get (3, -4).
4 is negative because you are going down below the x-axis.
Help please !!!!! thank you
Answers
Answer:
C
Step-by-step explanation:
To find the product you must multiply the two expressions:
[tex](x-3)*(x+7)[/tex] Starting equation
[tex]x^{2} +7x-3x-21[/tex] Use the FOIL method to multiply the two binomials
[tex]x^{2} +4x-21[/tex] Combine like terms
f(0) = g(0)
f(-2) = g(-2)
f(0) = g(-2)
f(-2) = g(0)
Answers
Answer:
f(-2) = g(-2)
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answers
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
To determine the mean number of electoral votes, add all of the votes in the table and divide by .
There are a total of 535 electoral votes. The mean is votes per state.
The median of the electoral votes is .
Answers
Answer:
The median is the 268th observation.
Step-by-step explanation:
The mean of a data set is the value representing the entire data set.
The formula to compute the mean is:
[tex]\text{Mean}=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}[/tex]
The median of a data set is the middle most value in the data set.
For odd number of observations the median is given by:
[tex]\text{Median}=[\frac{n+1}{2}]^{th}\ \text{observation}[/tex]
For even number of observations the median is given by:
[tex]\text{Median}=\frac{[\frac{n}{2}]^{th}\ \text{observation}\ +\ [\frac{n}{2}+1]^{th}\ \text{observation}}{2}[/tex]
In this case the mean number of votes per state is:
[tex]\text{Mean}=\frac{\text{Total number of electoral votes}}{\text{Total number of states}}[/tex]
There are n = 535 observations, This value is an odd number.
Then the median of the electoral votes is:
[tex]\text{Median}=[\frac{n+1}{2}]^{th}\ \text{observation}[/tex]
[tex]=[\frac{535+1}{2}]^{th}\ \text{observation}\\\\=268^{th}\ \text{observation}[/tex]
Thus, the median is the 268th observation.
Answer:
To determine the mean number of electoral votes, add all of the votes in the table and divide by
✔ 50
.
There are a total of 535 electoral votes. The mean is
✔ 10.7
votes per state.
The median of the electoral votes is
✔ 8
.
Step-by-step explanation:
This is a math question plz try you best
Answers
Answer:
11/12
Step-by-step explanation:
Calculate the sum
rewrite the fraction
simplify the fraction
Solution 11/12
Find an equation for the hyperbola with center at origin (0,0), vertex (-6, 0) and focus
at (-10, 0)
Answers
Carole's age is five times Joe's age. The sum of their ages is 18. How old are Carole and Joe? (Solve using systems of linear equation)
Answers
c = 5j
c + j = 18
5j + j = 18
6j = 18
j = 3
c = 5(3) = 15
Answer: Carole is 15, Joe is 3
Answer:
Joe is 3 and Carole's age is 15
Step-by-step explanation:
Joe: x
Carole: 5x
5x+x=18
6x=18
x=3
Please help! Correct answer only please! I need to finish this assignment by today.
Out of the people who have already taken their seats at a seminar, 3 people have blond hair while 6 people do not. What is the experimental probability that the next person to take a seat will have blond hair?
Simplify your answer and write it as a fraction or whole number.
P(blond) =
Answers
Answer:
1/3
Step-by-step explanation:
there are nine people in total because 6 + 3 = 9. so since 3 out of 9 people are blond, the probability is 3/9. simplified it will be 1/3 :)
The experimental probability that the next person to take a seat will have blond hair is 1/3.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
The experimental probability of an event is determined by dividing the number of favorable outcomes by the total number of possible outcomes.
In this case, the total number of people who have already taken their seats is 3 + 6 = 9. Of these, 3 people have blond hair.
So, the experimental probability that the next person to take a seat will have blond hair is:
P(blond) = 3/(3+6) = 3/9 = 1/3.
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Suppose you observe the number of passengers arriving at a metro station on a shuttle bus that holds up to 8 passengers. Describe the sample space.
Answers
Answer:
Sample space can be describes as:
S = {0,1,2,3,4,5,6,7,8}
Step-by-step explanation:
Usually used in probability questions, a sample space is defined as a set of collection of all possible outcomes. It is the list of all possible results.
Sample spaces are usually written using set notation, where each possible outcome is listed only once within curly bracket.
S = {outcome 1, outcome 2, ..........}
As it is given the a bus can hold up to 8 passengers. We need to find the sample space of to number of passengers actually riding the bus.
So the minimum numbers of passengers is 0
The maximum numbers of passengers is 8
So the numbers of passengers lies between 0 and 8.
What is the first step in simplifying the expression 11x-2-3(1-7x)^2\(x+1)
Answers
Answer:
3(1-7x) is first step
Step-by-step explanation:
Answer:
BIDMAS
Step-by-step explanation:
brackets
indices
division
multiplication
addition
subtraction
so.. do everything inside the brackets and then use the square
hope this helps! :)
what is 5 1/6 (-2/5) written as a fraction
Answers
Answer:
-17/5
Use math papa it gives you the answer all you have to do is unput the equation
Step-by-step explanation: