The terminal point is (0.5, 0.866), and the value of the tangent is 0.173.
How to identify the terminal point?For any angle a, the coordinates of the terminal point are given by:
x = cos(a)
y = sin(a).
In this case, the angle is a = pi/3
Then the coordinates of the terminal point are:
x = cos(pi/3) = 0.5
y = sin(pi/3) = 0.866
So the terminal point is ( 0.5, 0.866)
And the tangent of that angle is equal to the quotient between the y-component and the x-component:
tan(pi/3) = 0.866/0.5 = 0.173
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Answer:
Terminal point: (1/2,sqrt3/2); tan 0 = sqrt3
Step-by-step explanation:
I am sorry if this is not right but I am pretty sure it is!
(Edit: It was right on the program!)
A can of nuts weighs 1 pound, 1 ounce. The empty can weighs 3 ounces. If you pour out half the nuts into a bowl, how many ounces of nuts are in the bowl?
Answer:
7 ounces
Step-by-step explanation:
There are 16 ounces in one pound, so there are 17 ounces for the can of nuts.
Since the empty can weighs 3 ounces, you can subtract 17-3, which equals 14, to get the weight of the nuts alone.
Then, you divide 14 by 2, and you get 7.
Use the parabola tool to graph the quadratic function y=-1? - 2.0 +8
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answer:
see explanation
Step-by-step explanation:
I don't have graphing facilities but can give you the vertex and 1 other point.
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = - x² - 2x + 8 ← is in standard form
with a = - 1 and b = - 2 , then
x = - [tex]\frac{-2}{-2}[/tex] = - 1
Substitute x = - 1 into the equation for corresponding value of y
y = - (- 1)² - 2(- 1) + 8 = - 1 + 2 + 8 = 9
vertex = (- 1, 9 )
To obtain another point substitute any value for x into the equation
x = 0 : y = 0 - 0 + 8 , then (0, 8 ) is a point on the graph
x = 2 : y = - (2)² - 2(2) + 8 = - 4 - 4 + 8 = 0 then (2, 0 ) is a point on the graph
In a game show, a contestant receives a prize that has a % chance of being worth $ and a % chance of being worth $. What is the expected value of winning a prize?
Answer:
112
Step-by-step explanation:
Expected Value is anticipated value, calculated by multiplying each of possible outcomes with their probability of occurrence.
If Price has = 60% chance of value 120 , & 40% chance of value 100
Expected Value = Sum ( Probability of outcome x Payoff )
E (X) = Σ [ xi . PR ( xi ) ] = x1. Pr (x1) + x2 . Pr (x2)
= 0.6 (120) + 0.4 (100) = 72 + 40
= 112
What is the value of n in the equation below? a^n/ a^3 = a^9
a. 3
b. 6
c. 12
d. 27
Answer:
C, 12
Step-by-step explanation:
Simplify the fractions 81/126=
Answer:
9/14
Step-by-step explanation:
81/126=9x9/9x14=9/14
Answer:
9/14
Step-by-step explanation:
I divided both the numerator and denominator by 9 and 9/14 is the "most simplified" it can go to, unless I'm incorrect. Hope this helped ^-^
Match each expression in the first list with an equivalent expression from the second
list.
A. 7(x + 2) - x + 3
B. 6x + 3 + 4x + 5
C. 3x – 7 + 3x - 3
D. 8x -5 +4-9
E. 24x + 36
1. 1/5x - 10
2. 6x + 17
3. 2(5x + 4)
4. 12(2x + 3)
5. 8x + (-5) +4 + (-9)
PLEASE HELP!! I’ll give brainliest to most useful answer :)
The equivalent expression is shown below.
What is expression?An expression is a set of terms combined using the operations +, – , x or /.
A. 7(x + 2) - x + 3
=7x+14-x+3
=6x+17
B. 6x + 3 + 4x + 5
=10x+8
= 2(5x+4)
C. 3x – 7 + 3x - 3
=6x-10
= 2(3x-5)
D. 8x -5 +4-9
=8x + (-5) +4 + (-9)
E. 24x + 36
= 12(2x + 3)
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you toss a coin and spin a spinner. the spinner has four equal sections that are numbered from 1 to 4. find the probability of getting tails and spinning a 4.
also, make a table to show the sample space and find the number of outcomes.
Answer:
12.5% or .125
Step-by-step explanation:
4 options for the spinner all with equal probability, chance of spinning any number is 1/4; 2 options for the coin of equal probability so any side has a probability of 1/2. 1/4*1/2=1/8 chance; this is equal to 12.5% or .125.
there are 8 possible outcomes; 4 with spinner, 2 with coin, 4*2=8.
help please i’ll give brainlest
Answer:
a, c, d
Step-by-step explanation:
Answer:
A,C,D
Step-by-step explanation:
sorry if incorrect
What is 1+1 my dad hasn’t got the milk yet and it’s been 20 years since I’ve been to school I’m a fetus and I ended up walking my fish to the park so he could walk.
Answer:
its 32, and the world is a fetus now too
Step-by-step explanation:
Answer:
1+1=2
Step-by-step explanation:
LOL this question was all over the place but so funny!!
Which measure describes the standard error of the mean? A. the central limit theorem B. the sample mean C. the confidence interval D. the standard deviation of the means
Answer:
Correct answer: (Standard Deviation of means)
Step-by-step explanation:
#platolivesmatter
Hoped this helped! XD
The standard deviation of the means measure describes the standard error of the mean
Statistic is the study of mathematics that deal with relations between comprehensive data.
A standard deviation (or σ) is a measurement of how spread the information is in relation to the mean. A lower standard deviation means data are bunched around the mean, and a high standard deviation implies data are more scattered out, and best describes the error related to or around the mean.
From the above definition it is clear that standard deviation of the means measure describes the standard error of the mean.
Thus, the standard deviation of the means measure describes the standard error of the mean
.
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Which measure describes the standard error of the mean to be determined from the option given below.
A. the central limit theorem B. the sample mean C. the confidence interval D. the standard deviation of the means
Urgent help needed, thanks!
Answer:
2/5 is the rest of the shirts
Step-by-step explanation:
The average of the first 3 numbers was 28. The average of the next 12 numbers was 38. What was the overall average of the numbers?
***NO SPAM, PLEASE!!!!!!***
Answer:
ther overall average would be 36
Step-by-step explanation:
Find angle RUS PLEASE HELP ME
Answer:
m∠RUS = 37°
Step-by-step explanation:
In a rhombus, diagonals bisect angles. In other words,
m∠RUS = m∠SUT
Substitute and solve.
10x - 23 = 3x + 19
7x = 42
x = 6
Substitute x = 6 into the equation given for m∠RUS
m∠RUS = (10x-23)
m∠RUS = 37°
Derrick needs to figure out how he’s doing on his test scores so far this year. You can help by calculating the mean and the median to get an overall picture of his scores. Below are all of his scores:
25, 40, 68, 85, 95, 98, 70, 78, 85, 100
Answer:
Mean = 74.4
Median = 81.5
Step-by-step explanation:
25, 40, 68, 85, 95, 98, 70, 78, 85, 100
Mean = Sum of values / Number of values
Number of values = 10
= 25 + 40 + 68 + 70 + 78 + 85 + 85 + 95 + 98 + 100/10
= 744/10
= 74.4
Median
Rearranging the given data
= 25, 40 ,68 ,70 ,78 ,85 ,85 , 95 ,98 ,100
Formula for median = 1/2(n + 1)th value
n = 10
Hence
1/2(10 + 1)th value
1/2(11)th value
= 5.5 th value
This fall between the 5th and 6th value
5th value = 78
6th value = 85
Hence: 78 + 85/2
= 163 / 2
= 81.5
1. State 5 fractions between 6 and 7
Answer:
6 1/2
6 9/10
6 8/9
6 1/3
6 3/4
Adam has an inflatable pool toy
Answer:
yes
Step-by-step explanation:
Answer:
nice.
Step-by-step explanation:
₊˚ ꒰ mei ꒱ ‧₊˚
6) 60% of an audience at a theatre production are over the age of 60. Write down the
ratio of people under the age of 60 to the people over the age of 60. Write your
answer in the form 1: n
Answer:
60%
=60/100
=6/10
=3/5
=3:5
What number can 330 and 180 both be divided by?? Plz help
Answer:
330 and 180 have 8 common factors (divisors):
1; 2; 3; 5; 6; 10; 15 and 30
out of which 3 prime factors: 2; 3 and 5
Step-by-step explanation:
The ratio of sam's age to Hank's age is 5 to 3.if the sum of their ages is 24, how old is Hank?
a. 21
b. 9
c. 19
d. 15
Answer:
c is the answer if this question
The function (t) = 1,000(1.06)2t models the value of an investment after tyears.
Part B: What does the coefficient"2" represent in the exponent of the function?
the total amount of money earned in the investment
the initial amount of money invested
the number of compounding periods per year
the interest rate of the investment
Answer: B not sure if I’m right though .
Step-by-step explanation:
The best player on a basketball team makes 85% of all free throws. The second-best player makes
75% of all free throws. The third-best player makes 70% of all free throws. Based on their
experimental probabilities, estimate the number of free throws each player will make in his or her
next 40 attempts. Explain.
For the best player, one equation that gives the estimated number of free throws is____. The best player will make about______.
free throws.
Answer:
i. Estimated number of free throws of the best player = 0.85 * 40
ii. 34 free throws
Step-by-step explanation:
Percentage of free throws made by the best player = 85%
Percentage of free throws made by the second best player = 75%
Percentage of free throws made by the third best player = 70%
Therefore, for 40 attempts;
i. Estimated number of free throws made by the best player = 85% x 40
= 0.85 x 40
= 34
ii. Estimated number of free throws made by the second best player = 75%x 40
= 0.75 x 40
= 30
iii. Estimated number of free throws made by the third best player = 70% x 40
= 0.70 x 40
= 28
Thus, the equation that gives the estimated number of free throws is 0.85 * 40.
The best player will make about 34 free throws.
Help me please I can’t do this anymore it’s so hard
Answer:
2
Step-by-step explanation:
Don't really know how to explain it. OmniCalculator is very helpful.
Hope that this helps!
Greg has a piece of wire that is 72 inches in length. If 12 inches equals 1 foot, what is the length of wire in feet?
A. 84 feet
B. 60 feet
C. 6 feet
D. 864 feet
Answer:
72 divided by 12 = 6 feet
Step-by-step explanation:
Since there are 12 inches in ONE FOOT you have to divide the total number of inches by the inches that are in a foot which is 12.
Your class is planning a trip to Science East . The school will have to pay $250 for the bus and $3per student.Write an equation to represent the total cost .
Answer: 250+3x
Step-by-step explanation: 250 for the bus and the students is $3 each so the students could be x.
Please help. It's a question on Khan Academy. DON'T SPAM.
Juana is measuring two pyramids whose bases are isosceles right triangles.
Given the height hhh and the volume VVV of the first pyramid, Juana uses the formula
a=\sqrt{\dfrac{6V}{h}}a=
h
6V
a, equals, square root of, start fraction, 6, V, divided by, h, end fraction, end square root
to compute its base's side length aaa to be 111 meter.
The second pyramid has the same height, but has 999 times the volume. What is the side length of its base?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\sqrt6
6
square root of, 6, end square root meters
(Choice B)
B
333 meters
(Choice C)
C
3\cdot\sqrt63⋅
6
3, dot, square root of, 6, end square root meters
(Choice D)
D
999 meters
Answer:
3 meters
Step-by-step explanation:
Answer:
Choice B
3 meters
Step-by-step explanation:
I just did it on Khan Academy
What is the total area of the figure below?
A cooking school is teaching students how to make pasta noodles. The line plot displays how much flour each student used. How many total cups of flour did the students use to make the pasta?
Answer:
[tex]Total = 11\frac{1}{8}\ cups[/tex]
Step-by-step explanation:
Given
See attachment for plot
Required
Total number of cups used
The number of dot on each dataset represent the number of student
So, to get the total number of cups, we simply add the product of the number of cups and the number of student for each data item
So, we have:
[tex]Total = \frac{1}{8} * 6 + \frac{1}{4} * 5 + \frac{3}{8} * 2 + \frac{1}{2}*0 + \frac{5}{8} * 4 + \frac{3}{4} * 2 + \frac{7}{8} * 5[/tex]
[tex]Total = \frac{6}{8} + \frac{5}{4} + \frac{6}{8} + 0+ \frac{20}{8} + \frac{6}{4} + \frac{35}{8}[/tex]
Solve
[tex]Total = \frac{6+10+6+0+20+12+35}{8}[/tex]
[tex]Total = \frac{89}{8}[/tex]
[tex]Total = 11\frac{1}{8}\ cups[/tex]
i've been hospitalized for months, and i have a math test coming up. ill pay you $47 if you answer them correctly. i'm attaching the test. my discord is
aurora#9136
Answer:
7. B
8. C
9. Angles 2, 7, and 6
Step-by-step explanation:
There's three of them, hope it helps!
What is the circumference of a circle with a diameter of 5 feet use 3.14 for pi
Answer:
15.7
Step-by-step explanation:
Circumference= πd
d= Diameter
Which of the following is equivalent to the
given expression? *
(1 + sin a/1 - sin a) - (1 – sin a/1 + sin a)
Answer:
Solution given:
[tex] \frac{1 + \sin( \alpha ) }{1 - \sin( \alpha ) } - \frac{1 - \sin( \alpha ) }{1 + \sin( \alpha ) } [/tex]
[tex] \frac{(1 + \sin( \alpha )) {}^{2} - (1 - \sin( \alpha ) {}^{2} }{1 - \sin{}^{2} \alpha }[/tex]
[tex] \frac{1 + 2 \sin( \alpha ) + \sin {}^{2} ( \alpha ) - 1 + 2 \sin( \alpha ) - \sin {}^{2} ( \alpha ) }{ { \cos }^{2} \alpha } [/tex]
[tex] \frac{4 \sin( \alpha ) }{ \cos {}^{2}( \alpha ) } [/tex]
[tex]4 \tan( \alpha ) \sec( \alpha ) [/tex]
is your answer.
