Answers
[tex]tan(\theta )=\sqrt{3}\implies tan(\theta )=\cfrac{\sqrt{3}}{1}\implies tan(\theta )=\cfrac{\sqrt{3}}{1}\cdot \cfrac{2}{2} \implies tan(\theta )=\cfrac{\sqrt{3}}{2}\cdot \cfrac{2}{1} \\\\\\ tan(\theta )=\cfrac{~~\stackrel{sin(\theta )}{\frac{\sqrt{3}}{2}} ~~}{\underset{cos(\theta )}{\frac{1}{2}}}\implies \theta =tan^{-1}\left( \cfrac{~~\frac{\sqrt{3}}{2} ~~}{\frac{1}{2}} \right)\implies \theta = \begin{cases} \stackrel{I~Quadrant}{60^o}\\\\ \stackrel{III~Quadrant}{240^o} \end{cases}[/tex]
Check the picture below.
Related Questions
28 is increased by 150%. what's the final number
Answers
Answer:
70
Step-by-step explanation:
20x(1+150%)
28x(1+1.5)
28x2.5
70
the inverse of the function f(x)=-x+3
Answers
Answer: [tex]f^{-1}(x)=-x+3[/tex]
Step-by-step explanation:
To find the inverse of a function replace f(x) with x and replace the original x with y
[tex]f(x)=-x+3\\x=-y+3[/tex]
Now solve for y
[tex]x=-y+3[/tex]
First subtract 3 from both sides
[tex]x-3=-y+3-3\\x-3=-y[/tex]
Now divide both sides by -1 (this will make y positive)
[tex]\frac{x-3}{-1} =\frac{-y}{-1} \\-x+3=y[/tex]
Now replace y with the inverse of f(x), [tex]f^{-1}(x)[/tex]
In a circle, a 225° sector has area 250pi in^2. What is the radius of the circle?
Answers
Answer:
r = 200
Step-by-step explanation:
[tex]Area of sector = (\frac{225}{360})[/tex]×πr² = [tex](\frac{5}{8})[/tex] ×πr²
[tex](\frac{5}{8})[/tex] ×πr² = 250π
[tex](\frac{5}{8})[/tex] ×r² = 250
r² = [tex](\frac{8}{5})[/tex] × 250
r² = 400
r = 200 (r is a length so, it's positive)
15-16) 4, 6, 9, 11, 14, 16, _____, 21, ______
Pattern:
Missing Terms:
17-18) 3, 6, 7, 14, 15, _____, ______
Pattern:
Missing Terms:
Answers
Answer:
first pattern: +2, +3 (repeated)
first missing terms: 19, 24
second pattern: *2, +1
second missing terms: 30, 31
Step-by-step explanation:
first pattern:
1. subtract the second term with the first, (6-4=2) then then third with the second (9-6=3).
2. repeat until to prove the pattern, +2, +3
3. apply pattern to missing term, (16+2=19) and (21+3=24)
second pattern:
1. since subtracting the terms does not give us a pattern, try dividing when possible, (6/3=2) and (14/7=2). then subtract the other terms (7-6=1) and (15-14=1)
2. find pattern from calculation, *2, +1.
3. apply pattern to missing terms, (15*2=30) and (30+1=31).
hope this helped! ♡
In a certain area of a large city, it is hypothesized that 40 percent of the houses are in a dilapidated condition. A random sample of 75 houses from this section and 90 houses from another section yielded a difference of 0.09. If there is no difference between the two areas in the proportion of dilapidated houses, what is the probability of observing a difference this large or larger?
Answers
Using the normal distribution and the central limit theorem, it is found that there is a 0.24 = 24% probability of observing a difference this large or larger.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].When two variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.In this problem, for each sample, the mean and standard error are given by:
[tex]\mu_I = 0.4, s_I = \sqrt{\frac{0.4(0.6)}{75}} = 0.0566[/tex]
[tex]\mu_{II} = 0.4, s_{II} = \sqrt{\frac{0.4(0.6)}{90}} = 0.0516[/tex]
Hence, for the distribution of differences, the mean and the standard error are given by:
[tex]\mu = \mu_I - \mu_{II} = 0.4 - 0.4 = 0[/tex]
[tex]s = \sqrt{s_I^2 + s_{II}^2} = \sqrt{0.0566^2 + 0.0516^2} = 0.0766[/tex]
The probability of observing a difference this large or larger is given by P(|Z| > Zx), in which Zx is the z-score when X = 0.0766. Hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.09 - 0}{0.0766}[/tex]
Z = 1.175.
Hence the probability is P(|Z| > 1.175), which is 2 multiplied by the p-value of Z = -1.175. Then:
2 x 0.12 = 0.24.
0.24 = 24% probability of observing a difference this large or larger.
To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
Bag A contains 5x coins.
Bag B contains 3x coins.
8 coins are taken from Bag B and put into Bag A
The ratio of coins in Bag A to Bag B is now 11:5
Work out the total number of coins.
Answers
Answer:
given ,
number of coins in bag A = 5x
number of coins in bag B = 3x
_____________________________________
According to Question ,
8 coins are taken from Bag B and put into Bag A
The ratio of coins in Bag A to Bag B is now 11 : 5
therefore ,
[tex] \frac{5x + 8}{3x - 8} = \frac{11}{5} \\ \\ 5(5x + 8) = 11(3x - 8) \\ \\ 25x + 40 = 33x - 88 \\ \\ 33x - 25x = 40 + 88 \\ \\ 8x = 128 \\ \\ x = \cancel\frac{128}{8} \\ \\ \fbox{x =16} [/tex]
now ,
[tex]no. \: of \: coins \: in \: bag \: A = 5x \\ \dashrightarrow{5 \times 16 = 80 \: coins}[/tex]
[tex]number \: of \: coins \: in \: bag \: B = 3x \\ \dashrightarrow{3 \times 16 = 48 \: coins}[/tex]
[tex]total \: number \: of \:coins = 80 + 48 \\ \dashrightarrow{ 128 \: coins}[/tex]
hope helpful :D
Send help haha
Use the drop-down menus to identify the domain and range of each function below.
The drop-down menu has the same options for every one of them.
Please answer correctly ASAP ^
Answers
Answer:
Domain: input values (x-values)
Range: output values (y-values)
Absolute value: remove negative sign → output becomes positive
eg. |-2| = 2
Squaring a number → output is always positive
[tex]a(x)=3|x|[/tex]
Domain = all real numbers
Range = all positive numbers and zero
[tex]b(x)=3x^2[/tex]
Domain = all real numbers
Range = all positive numbers and zero
A square on the board is chosen at random. Find the probability as a fraction in simplest form
Answers
The probability of selecting a square is the likelihood of the square
The probability that the square selected is a multiples of 3 not less than 10 is 3/20
How to determine the probability?The given parameters are:
Squares = 20
Multiples of 3 not less than 10 = 3
Stripped balloons = 17
The probability that the square selected is a multiples of 3 not less than 10 is calculated as:
P = n(Multiples of 3 not less than 10)/Total
This gives
P = 3/20
Hence, the probability that the square selected is a multiples of 3 not less than 10 is 3/20
Read more about probability at:
https://brainly.com/question/251701
Why are fractions 2/4 and 5/10 equivalent
Answers
Answer:
They both equal 20 when you do the butterfly method. They are all factors of 20.
Step-by-step explanation:
2/4 5/10
2x10=20
4x5=20
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS THANKSS
Answers
Answer:357.96in
Step-by-step explanation:
1. Surface area of a cylindar is A= 2πr(r+h)
2. A= 2·π·3 (3+16)
Second question
Answer: 296in
find the value of a from the following data whose mean is 23 29,33, 27, a, 19, 17, 10
Answers
Answer:
a = 26
Step-by-step explanation:
29 + 33 + 27 + a + 19 + 17 + 10 / 7 = 23
135 + a / 7 = 23
135 + a = 161
a = 26
Which table represents the function y =1/3 x + 4?
Input x 0 -3 -6
Output y 4 3 2
Input x 6 9 12
Output y 6 9 12
Input x 0 3 6
Output y 4 6 8
Input x 3 6 9
Output y 5 7 9
Answers
Answer:
i think that is the second one but im not sure.
find the value of angle a
Answers
Answer:
angle A = 153 degrees
Step-by-step explanation:
solve for the interior missing angle.
so from the interior we know that we have 2 angles
1 is 63 degrees and 1 is 90 degrees because we see that there is a right angle and all right angles = 90 degrees, we also know that the sum of all angles in a triangle should equal 180 degrees. if we have a 63 degree angle and a 90 degree angle we know that the sum of both of them is 153 degrees we still need to find that missing angle and we can do that by minusing 153 from 180 which is 27 so the measurement of the interior angle of the triangle is 27 but that is not what we are looking for but the answer is already given to us because we know that a straight line is 180 degrees so we just minus that missing angle from 180 degrees we conclude that A = 153 degrees
help, asap, explain, thx
a^2-b^2=8
a+2=2
then a-b=?
Answers
Step-by-step explanation:
a + 2 = 2
a = 2 - 2
a = 0
a² - b² = 8
0 - b² = 8
b² = -8
This question is impossible.
find the square root of following by division method
5499025
Answers
Answer:
2345
Step-by-step explanation:
5499025
5 1099805
5 219961
7 31423
7 4489
67 67
67 1
5x5x7x7x67x67
pick one of the doubles
5x7x67
=2345
brainiest please
Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y)(x,y) point. y=−x ^2 −8
Answers
Answer:
Step-by-step explanation:
emma really smells bad do not answer this question
How do I solve this problem? Also, shouldn't the answer be square root 61 because you do 5^2+6^2=c^2?
Answers
Hey there!
Formula:
a = √p(diagonal)^2 + q(diagonal)^2 / 2
a = √p + q / 2
SOLVING FOR CURRENT EQUATION
a = √10^2 + 12^2 / 2
a = √10 * 10 + 12 * 12 / 2
a = √100 + 144 / 2
a = √244 / 2
a = √61
a ≈ 7.81
Thus, your answer is: √61
Or as you put….
5^2 + 6^2 = c^2
5 * 5 + 6 * 6 = c^2
25 + 36 = c^2
√61 or -√61 = c^2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Which graph represents the function y-3 =3/2 (x-4)?
Answers
Answer:
Below.
Step-by-step explanation:
You haven't sent the graphs.
y - 3 = 3/2(x - 4)
y - 3 = 3/2x - 6
y = 3/2x - 3
- this is the slope intercept form of the graph.
It will be a straight line which rises to the right and passes through the y axis where y = -3. Also it has a slope of 3/2.
Wne y = 0 x = 2 so it passes through the x-axis at x = 2.
Answer:
The correct representation to the given function is graph A
help pls
ty in advance
Answers
[tex]\bold{\huge{\underline{ Solution\: 2 }}}[/tex]
The name of the circle is IJKLThe name of central Angle[tex]\sf{\underline{= {\angle} IHJ }}[/tex]The name of the secant = KL[tex]{\bigstar}[/tex]Circle :- It is a round figures, which has no end points.
[tex]{\bigstar}[/tex] Central angle :- It the angle ,which lie in the middle of the circle.
Here, H is the mid point of the circle .So, Angle IHJ is the central angle.[tex]{\bigstar}[/tex] Secant :- A line drawn in circle in such a way that it intersect the circle from two distinct points. Then, It is called secant .
Here, KL is the line which acts as a secant because it intersect the circle from point K and point L.[tex]\bold{\huge{\underline{ Solution\: 3 }}}[/tex]
Semicircle = FGH and FIH Minor Arc :- FG or GH Major Arc :- FHG or GFH[tex]{\bigstar}[/tex] Semicircle :- Semicircle is nothing but the half of the circle.
Here, In second diagram
FGH and FIH are acting as two semicircles which simulatineously forming one circle.[tex]{\bigstar}[/tex] Minor Arc :- Minor Arc is nothing but the smaller arc of the circle and it is always smaller than the half of the circle that is semicircle.
Here,
FG or GH are the minor arc of the given circle.[tex]{\bigstar}[/tex] Major Arc :- Major Arc is nothing but the largest arc of the circle and it is always larger than the half of the circle that is semicircle.
Here,
FHG or GFH is the major arc as it is larger than the semicircle of the given circle .(True/False) In an experimental study, participants are randomly allocated (by chance, rather than by choice), to two different experimental groups. The reason for randonmization is to reduce bias.
Answers
Answer:
TRUE
Step-by-step explanation:
A wild population of penguins is being monitored in 2000, the population was 200 penguins and
thanks to conservation efforts the population is growing by 296 every year.
What is the initial value?
Answers
Answer: 200
Step-by-step explanation:
The initial value is 200, since this is the population before conservation efforts began.
9 halves of a cupcake for my family plus extra for my 6 friends how many should I
buy.
Answers
Answer :- 7½ or 8 ( explained below)
Explanation:-
Given :-
9 halves for family6 halves for friendsSo in total :- 15 halves for both of them
It means :- 7½ cupcakes in total u required
if u can buy an half cupcake then u need to buy :- 7½
If u can't but an half cupcake then u need to buy :- 8
Answer:
Step-by-step explanation:
8 for learning games
Which of the following rational functions is graphed below?
110
- 10
10
Iho-
O
A. F(x) = 3/x
B. F(x) = х/X + 3
O c. F(x) = x-3/x
D. FX) = x/3
Answers
Hope this helped.
The given graph is of the rational number f(x)=1/x(x-3)
What is rational numbers ?All the numbers which are in the form of p/q where q is not equal to zero is known as rational numbers.
here, we have,
Which function represents the given graph :
The given graph represents the function f(x)=1/x(x-3)
Since the value of x can never be equals to zero in this function as graph is representing.
Hence option (b) f(x)=1/x(x-3) is the correct answer.
Learn more about rational functions at
brainly.com/question/12088221
#SPJ7
Saleem wants to create a table of ratios that are equivalent to 2
3
. He includes the ratios 4
5
and 5
6
.
Are these ratios equivalent to 2
3
? Explain your reasoning.
Answers
Answer:
yes 6 is the equivalent of 3
Answer: 6 is the equivalent of 3
Step-by-step explanation: if wrong comment n I will fix
$20,000 is borrowed at an interest rate of 15% p.a. (per annum) to be paid back over 10
years, calculate the amount of interest, the total repayment and the monthly repayment.
Answers
Answer:
30000 simple interest ,50000 total repayment.
Step-by-step explanation:
sorry iam terrible at explaining,
Find The Square Root Of
[tex] \frac{144}{169 } [/tex]
Answers
[tex]===============================[/tex]
Let's find the square root of
[tex]\bold{\displaystyle\frac{144}{169}}[/tex]
So what number times itself equals [tex]\bf{\displaystyle\frac{144}{169}}[/tex]?
Take the square root of both the numerator (144) and the denominator (169)
[tex]\bold{\sqrt{\displaystyle\frac{144}{169} }}[/tex]
The square root of 144 is 12 (12 times itself equals 144), and the square root of 169 is 13 (13 times itself equals 169)
[tex]\bold{\displaystyle\frac{12}{13}}[/tex]
This number times itself equals [tex]\bf{\displaystyle\frac{144}{169}}[/tex].
[tex]==================================[/tex]
Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!#KnowledgeIsPowerYou can easily find the square root of a number by entering the number you want to find the square root of and pressing the [tex]\sqrt{x}[/tex] button on your calculator, or just remembering the basic numbers, like "12×12 (12²=144) :-)Answered by:
[tex]^\star^\bigstar^\circ\tt{An~Emotional~Helper!~:D}}^\circ^\bigstar[/tex]
i need to find the volume of a cylinder and the radius is 10 cm and height is 8 cm
Answers
Answer:
2513.27
Step-by-step explanation:
V=πr^2h=π·102·8≈2513.27412
write an expression that is equivalent to 21h - 10h + 16 - 9 + 14h + 5 .
Answers
Collect the like terms. Like terms are numbers that have the same variable (like x, y, a, n...)
Like terms are:
21h, -10h, +14h
And
16, -9, +5
So add/ subtract the like terms
21h - 10h + 14h= 25 h
16 - 9 + 5 = 12
You can’t add 25h by 12 so your final answer is
25h+12
25h+2
Step by step answer
Combining like terms.
start with h
21h-10h+14h=25h
16-9+5=2
so:
25h+2
the current value of an item is 300000 at tge beginning of the year ,of its value at the end of every year is ¾ of the value at the beginning of the year find its value after 5 years
Answers
Answer:
71191.4 to the nearest tenth.
Step-by-step explanation:
Value after 5 years = 300000(3/4)^5
= 71191.41
A dodgeball has a volume of approximately 113.04 cubic inches. Find the circumference of the ball. Use
3.14 for O.
14
Answers
Answer:
18.84 inches.
Step-by-step explanation:
Volume = 4/3 π r^3 = 113.04
r^3 = 113.04 / 4/3 * 3.14
r^3 = 27
r = 3 inches,
So the circumference = 2 * 3.14 * 3
= 18.84 inches.