Find exact value of 6 trigonometric functions of angle 11pi/3
Answers
Answer:
sin 11pi/3 = - root3/2
cos 11pi/3 = 1/2
tan 11pi/3 = - root3
csc11pi/3 =-2root3/3
sec11pi/3= 2
cot11pi/3 = -root3/3
see image
Step-by-step explanation:
This is a question that you should use the Unit Circle to find the answers. Unit Circle looks like a horrible math nightmare pizza, but it is really a great big giant Answer Key. It has all the trig answers on it.
First, change 11pi/3 to an angle that IS on the Unit Circle. See image for three ways to change 11pi/3 to an equivalent (on the UnitCircle) angle 5pi/3.
Then, since the Unit circle is the Answer Key. Use the x and y given, in the form (x, y) to find all 6 trig values.
Memorize for this type of question:
sin = y (they both have that long i sound)
cos = x
tan = y/x
csc (flip over sin) = 1/y
sec = 1/x (flip cos)
cot = x/y (flip tan)
Also, to make things hairier, you have to know how to rationalize the denominator. This just means you canNOT leave a sqrt symbol on the bottom of a fraction.
And unfortunately, if you never learned how to manipulate a fraction over a fraction, you will have to do that too. Use Keep-Change-Flip. That makes it super do-able. See image.
Related Questions
14. The maximum capacity for seating in a theater is 500 people. The theater sells two types of tickets, adult tickets for $7.25 each and child tickets for $4 each. If they sold out on a certain showtime and made a total of $3,157 in ticket sales, how many of each types of tickets was sold out that showtime?
Answers
Step-by-step explanation:
set x as the number of the adults in the show
500-x - number of children
(500-x)×4+7.25x=3157
2000-4x+7.25x=3157
3.25x=1157
3×1/4x=1157
13/4x=1157/×4
13x=4628/÷13
x=356
356 adult tickets was sold out.
500-356=144
144 child tickets was sold out.
Answer:
Adult tickets sold = 356
Child tickets sold = 144
Step-by-step explanation:
Given information:
Maximum number of seats = 500Cost of adult ticket = $7.25Cost of child ticket = $4Total revenue of sold-out show = $3,157Define the variables:
Let x = the number of adult tickets sold.Let y = the number of child tickets sold.Create two equations from the given information:
[tex]\textsf{Equation 1}: \quad x + y = 500[/tex]
[tex]\textsf{Equation 2}: \quad 7.25x+4y=3157[/tex]
Rewrite Equation 1 to make y the subject:
[tex]\implies y=500-x[/tex]
Substitute this into Equation 2 and solve for x:
[tex]\implies 7.25x+4(500-x)=3157[/tex]
[tex]\implies 7.25x+2000-4x=3157[/tex]
[tex]\implies 3.25x+2000=3157[/tex]
[tex]\implies 3.25x=1157[/tex]
[tex]\implies x=356[/tex]
Substitute the found value of x into the rewritten form of Equation 1 and solve for y:
[tex]\implies y=500-356[/tex]
[tex]\implies y=144[/tex]
Solution
Adult tickets sold = 356Child tickets sold = 144Learn more about systems of equations here:
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Find the sum: 1.23 + 4.99.
Answers
Answer: 4.113
Step-by-step explanation: so like 1 goes into 4 4 times and then 2 dont go inna 9 so you got 11 because if you cant go down u goin up and then da three go into nine evenly so like i hope you fail
Answer:
6.22
Step-by-step explanation:
1.23 + 4.99 is equal to 6.22.
(If adding decimals is a harder concept for you, just ignore the decimal point and add normally.)
Hope this helped!
(ratings and voting brainliest always help)
Han ran 1/4 the length of his road,which is 7 miles long how far did han run?
Answers
Han ran 1.75 miles
because 25% of 7 is 1.75
How is it similar and how is it different?
Answers
Using the intersection operation between two data-sets, it is found that the graph of x > a and x < b is similar to the graph of x > a for a < x < b and different for x > b.
What is the result of the intersection operation between two data-set?The result of the intersection operation between two data-set is the set that contains elements that belong to both sets.
For this problem, we have that a is to the left of b, as a < b, hence:
a is plotted before b on the number line.The intersection between the operations x > a and x < b is the following interval: a < x < b.Hence:
The graph of x > a and x < b is similar to the graph of x > a for a < x < b and different for x > b.
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-x = 7x -56
pls i need anwer
Answers
-8x = -56
x=7
What is the standard unit of temperature? What can be used to measure temperature?
Answers
Answer:
Kelvin, thermometer
Step-by-step explanation:
Unit: kelvin
Measure temperature: thermometer
find the area of the circle
Answers
Answer:
113.04 square feet
Step-by-step explanation:
A = π[tex]r^{2}[/tex]
A = π [tex](6[/tex][tex])^{2}[/tex]
A = 3.14 (36)
A = 113.04
how to do universal math by hands
Answers
Answer:
find the profound of life by your ethernal soul
what is the range of d
Answers
Answer:
A
Step-by-step explanation:
Range is on the y-axis, therefore, it would be from -1 to 5.
There are 15 triangles and 6 circles. What is the simplest ratio of circles to triangles?
Answers
Answer:
2:5, 2/5, 2 to 5
Step-by-step explanation:
The ratio is 6 to 15, but you can simplify that to 2 to 5.
Write 0.0000629 in scientific notation
Answers
Answer:
6.29 × 10^-5
Step-by-step explanation:
0.0000629
The number part of the answer is 6.29
To go from 0.0000629 to 6.29, the decimal point needs to move 5 places to the right, so the exponent on the 10 must be -5.
0.0000629 = 6.29 × 10^-5
Answer: 6.29*10^(-5)
Step-by-step explanation:
0.0000629=
0.629*10^(-4)= ==> there are 4 zeros before the decimal point.
6.29*10^(-(4+1))=6.29*10^(-5)
Write 53/16 as a decimal.
Answers
Answer:
3.3125
Step-by-step explanation:
53/16 is the same as 53 ÷ 16 =3.3125
3(−5.8 + w) = 22.62 what dose the W =
w = −1.3
w = 1.3
w = 5.6
w = 13.34
Answers
Answer:
d. w=13.34
Step-by-step explanation:
The value of w is 13.34 for the given equation. The correct answer is option D.
What is the solution to the equation?A solution to an equation is a number that can be substituted for the variable to provide a true number statement.
The equation is given as follows:
3(−5.8 + w) = 22.62
First, we distribute the 3 on the left side of the equation:
-17.4 + 3w = 22.62
Next, we isolate the variable by adding 17.4 to both sides of the equation:
-17.4 + 3w + 17.4 = 22.62 + 17.4
3w = 40.02
Finally, we solve for w by dividing both sides of the equation by 3:
w = 13.34
Therefore, the value of w is 13.34, so the answer is option D.
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What is the answer to Simplify 2x³ x 5x²
Answers
Answer:
Your answer is [tex]2x^{10}[/tex].
Step-by-step explanation:
Use the value of the ratio to fill in the following two multiplicative comparison statements. a. The number of pancakes made is ________ times the amount of cups of flour needed. b. The amount of cups of flour needed is ________ of the number of pancakes made
Answers
The value of the ratio to fill in the following two multiplicative comparison statements are:
(A) The number of pancakes made is 5 times the amount of flour required. (B) The amount of flour required is 1/5 of the number of pancakes made.What do we mean by ratio?A ratio in mathematics indicates how many times one number contains another. For example, if a bowl of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six (that is, 8:6, which is equivalent to the ratio of 4:3). Similarly, the proportion of lemons to oranges is 6:8 (or 3:4), and the proportion of oranges to total fruit is 8:14. (or 4:7).The number of pancakes made is five times the amount of flour required. The amount of flour required is one-fifth of the number of pancakes made.Therefore, the value of the ratio to fill in the following two multiplicative comparison statements are:
(A) The number of pancakes made is 5 times the amount of flour required. (B) The amount of flour required is 1/5 of the number of pancakes made.Know more about ratios here:
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A graphic designer enlarges a 12 inch long picture to a 2 1/2 foot long banner. At this setting if the picture is 16 inches wide how wide is the banner
Answers
Based on the enlargement the graphic designer applied to the length of the picture, the banner is as wide as 3 ⁸/₁₂ foot long
What is the width of the banner?The fact that 12 inch was enlarged to 2.5 foot means that every inch is:
= 2.5 / 12
= 2.5/12 foot
This means that if the picture was 16 inches wide, the enlarged size of the banner would be:
= 16 x 2.5/12
= 40 / 12
= 3.33
= 3 ⁸/₁₂ foot long
In conclusion, the width of the banner is 3 ⁸/₁₂ foot long
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square root of 72/98
Answers
Answer:√78= 8.9 √98= 9.9
Step-by-step explanation:
Answer:
6/7
Step-by-step explanation:
So first, we can simplify 72/98. If we divide both the numerator and denominator by 2, to get a simplified fraction. So we need to solve 72/2 and 98/2. 72/2 = 36 and 98/2 = 49 So now we have a simplified fraction. So now, we are left with the square root of 36/49, and we apply the radical rule. So now we have simplified radicals that make things easier. The square root of 36 is 6, while the square root of 49 is 7. This is because 36 can be broken down into factors of 6 and 6, so like 6^2 = 36. So square root of 36 is 6. While 49 can be broken down as 7 and 7, so like 7^2 = 49, so square root of 49 is 7. Therefore our answer is 6/7.
I hope this helps, have a blessed day!
Use the table to write an expression that shows how many total baskets the Cavaliers made during the season. Simplify the expression.
Answers
The expression that shows how many total basket the Cavaliers made during the season is 1978+f
The total number of free throws = 1484
The number of two point field goals = f
The number of 3 point field goals = 494
Total number of basket Cavaliers made during the season = Number of free throws + Number of two point goals + Number of three point field goals
Substitute the values in the equation
Total number of basket Cavaliers made during the season= 1484 + f +494
Add them together
1484+ f +494= 1978+f
Hence, the expression that shows how many total basket the Cavaliers made during the season is 1978+f
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Question 9 of 20
The police department of a city with a population of 150,000 wants to know
how many residents wear their seatbelts regularly. Which sample size would
make the study most reliable?
OA 150
OB. 1500
OC.5
D. 15
Answers
The sample size that would make the study on the residents that wear seatbelts regularly most reliable is B. 1,500.
Which sample size is more reliable?When creating samples, there is a general rule that the higher the sample size, the more reliable the study is.
This is because a larger sample size is more likely to capture the characteristics of the population it is based on.
The most reliable sample size here is therefore 1,500 people.
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What is the decimal equivalent of each rational number? a. ___9/11 b. __4/5 c. ___-17/5 d. __5/9
Answers
Classify each of the following statements as true or false. If false, tell why. a. 5 is a divisor of 20. b. 10 is a multiple of 20.
Answers
Answer:
Yes; no
Step-by-step explanation:
a. If we divide 20 by 5, we get 4. Meaning, both 4 and 5 are divisors of 20.
b. 10 is not a multiple of 20; The multiples of 20 are 20, 40, 60, 80, 100, 120, 140, etc. Multiples only go upwards not down. Nothing plus 20 is equal to 10 therefore 10 is not a multiple of 20. 20 is a multiple of 10 though.
greatest common factor of 2a and 4ab
Answers
Answer: GCF: 2a
Step-by-step explanation:
In order to find the factors, we need to list the prime factorization of 2a and 4ab, assuming a and b are prime numbers.
2a: 2*a
4ab: 2*2*a*b
Notice any common factors?
GCF: 2*a=2a
GCF: 2a
20 10 12 13 4 1 5 0 19
Place for min , med, mode etc
Answers
Me deben el 20% de 18700 y me pagan el 15% de 900 cuánto me deben aún?
Answers
Answer:
3
Step-by-step explanation:
how to increase the accuracy of simpson rule and maclaurin series expansion respectively?
Answers
Because it matches a parabola to the curve rather than a straight line, Simpson's rule is more precise.
The other approaches are only accurate for functions whose graphs are linear, whereas Simpson's rule yields the exact area beneath the graphs of functions of degree two or less (parabolas and straight lines).Why is trapezoidal less accurate than Simpson's rule?
When the underlying function is smooth, Simpson's Rule is more accurate than the trapezoidal rule because it employs quadratic approximations rather than linear ones. In cases where there are an odd number of evenly spaced points, the formula is typically provided.What are Simpson's rule's restrictions?
It is obviously incorrect because the actual integral will always differ from it (except in some cases, such as the area under straight lines). Integrals, unlike Simpson's technique, allow you to obtain precise results in terms of basic constants.Learn more about Simpson's Rule
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a safety inspector found flaws in 3 out of 540 lamps built in a factory what is the probability that the next lamp she expects is flawed.
Answers
The probability that the next lamp safety inspector expects will be defective is 1/180.
What is probability?Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.Formula: P = favourable events/Total events
Put the values in the formula and solve as follows:
P = favourable events/Total eventsP = 3/540P = 1/180Therefore, the probability that the next lamp safety inspector expects will be defective is 1/180.
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K
The amount of oil imported to Country A from Country B in millions of barrels per day can be approximated by the equation y=0.051x+1.38, where x is the number of years since 1970. Solve this equation for x. Use the new equation to determine in which year the approximate number of oil barrels imported from Country B per day will be 1.89 million.
First, solve the equation for x.
Answers
algebraic equation solving x, we concluded that In the year 1980 the approximate number of oil barrels imported from Country B per day will be 1.89 million.
What exactly is a mathematical linear equation?An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.
Given the equation is :y=0.051x+1.38
Let us put y = 1.89
1.89 = 0.051x + 1.38
⇒ x = 0.51/0.051
⇒ x = 10
After ten years, 1.89 million oil barrels per day will be roughly imported from Country B.
Around 1.89 million oil barrels per day would be imported from Country B in the year 1980.
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Can anybody help me with this
Answers
Answer:
C. triangle 1 and triangle 2
Step-by-step explanation:
Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.
Which of the following are solutions to the quadratic equation below? Check all that apply. X^2+16=2
Answers
Step-by-step explanation:
x²+16=2
x²+16-2=0
x²+14=0
x²=-14
x=√-14=7i
Quadrilateral ABCD is a rectangle. Find the coordinates for Point B.
Answers
Answer:
(8,25)
Step-by-step explanation: