Answer:
sin=0
cos=-1
tan=0
csc=undefined
sec=-1
cot=undefined
Step-by-step explanation:
On the unit circle, [tex]-\pi=\pi[/tex]. The sin of theta is therefore 0, the cosine is -1, and the tangent is 0/-1=0. Since the following functions are just the reciprocals of the previous ones, the cosecant is 1/0=undefined, the secant is 1/-1=-1, and the cotangent is 1/0= undefined. Hope this helps!
All six trigonometric ratios were calculated using a unit circle and comes out to be
[tex]sin(-\pi )= -sin\pi =0\\cos(-\pi )= cos\pi =-1\\tan(-\pi )= -tan\pi=0 \\cosec(-\pi )= -cosec\pi =infinity\\sec(\pi )= sec\pi =-1\\cot(-\pi )=-cot\pi=infinity[/tex]
I have attached a unit circle diagram.
What is a unit circle in trigonometry?In this unit circle corresponding values of sine and cosine have been written near the angle 'α' in form (cosα,sinα)
x-coordinate is cosα
y-coordinate is sinα
now,
one can find other trigonometric ratios
[tex]tan\alpha =\frac{sin\alpha }{cos\alpha } \\\\cot\alpha =\frac{1}{tan\alpha } \\\\cosec\alpha =\frac{1}{sin\alpha } \\\\sec\alpha =\frac{1}{cos} \\[/tex]
Hence, we can find the rest of the trigonometric ratios by using the coordinates (cosα,sinα) for a particular angle 'α'.
to get more about unit circle refer to the link,
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What type of relationship does this
pair of angles have?
BC
19°
no
161°
They are complementary angles.
none of the above
They are vertical angles.
They are supplementary angles.
HELP PLEASE
Answer:
They are supplementary angles.
Step-by-step explanation:
161+ 19 = 180
When two angles add to 180 degrees, they are supplementary angles
Answer:
Supplementary Angles
Step-by-step explanation:
They add to 180 degrees
Please help me ASAP. Need to hand in by today
Answer:
Heyyy. Glad to see someone from malaysia taking add maths hete. Hope this helps
Use the distributive property to expand Negative 4 (Negative two-fifths + 3 x). Which is an equivalent expression?
Negative StartFraction 8 over 5 EndFraction + 12 x
Negative StartFraction 8 over 5 EndFraction minus 12 x
StartFraction 8 over 5 EndFraction + 12 x
StartFraction 8 over 5 EndFraction minus 12 x
Answer:
d
Step-by-step explanation:
Negative 4 (Negative two-fifths + 3 x) is StartFraction 8 over 5 EndFraction minus 12 x, option D is correct.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is Negative 4 (Negative two-fifths + 3 x).
-4(-2/5+3x)
We solve the equation by using distributive property.
Now apply distributive property
-4(-2/5)-4(3x)
8/5-12x
StartFraction 8 over 5 EndFraction minus 12 x
Hence, Negative 4 (Negative two-fifths + 3 x) is StartFraction 8 over 5 EndFraction minus 12 x, option D is correct.
To learn more on Equation:
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A triangle with side measures 17 cm,15 cm, and 12 cm is a (n) _________ triangle
Answer:
scalene
Step-by-step explanation:
all sides have different measurements
Select three ratios that are equivalent to 8 : 20
A)1 : 4
B)4 : 10
C)24 : 60
D)2 : 5
E)10 : 24
。☆✼★ ━━━━━━━━━━━━━━ ☾
It would be B, C and D
All of them simplify to 2 : 5
Have A Nice Day ❤
Stay Brainly! ヅ
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Answer:
B, C, D
Step-by-step explanation:
So just simplify the ratio first:
Divide by 2 | 4 : 10
Divide by 2 | 2 : 5
Multiply the ratio next:
Multiply by 3 | 24 : 60
Only do question 8
50 points
Topic: Percentage
Answer:
see below
Step-by-step explanation:
To change from a decimal to a fraction count the number of decimals and add that many zeros after the 1 in the denominator, then simplify
To change a decimal to a percent, move the decimal to places to the right and add a percent sign
To change a fraction to a decimal divide the numerator by the denominator
To change a percent to a decimal move the decimal 2 places to the left and remove the percent sign( if there are fractions, change to a decimal)
113/1000 = .113 = 11.3 %
2275/1000 =91/400 .2275 22 3/4%
1/200 .005 .5%
3 85/100 3.85 385%
Find the mean of the data.
Megabytes of Data Used
85
206
0
109
62
28
460
149
98
The mean is
megabytes of data used.
what is the mean of the data
Answer:
Mean (Average): 133
Step-by-step explanation:
Please help me with this math problem :)
Answer:
[tex]=2/4=1/2[/tex]
Step-by-step explanation:
Five times the sum of a number and 3 is the same as 3 times the difference of twice the number and 1.
What is the number?
Answer:
12
Step-by-step explanation:
5(x+3) = 3(2x-1)
5x+15 = 6x-3
15-3 = 6x-5x
12 = x
x = 12
The number should be 12.
Given that,
Let us assume the number be x.Five times the sum of the number & 3 should be the same because 3 times is the difference of the twice of the number and 1.Based on the above information, the following equation should be made:
5(x+3) = 3(2x-1)
5x+15 = 6x-3
15-3 = 6x-5x
12 = x
x = 12
Therefore we can conclude that the number is 12.
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What is the next step to solve this equation?
3x - 5 = 7
Answer:
Find the value of x the value is x=4
3x4=12
12-5=7
Step-by-step explanation:
The solution of the equation is [tex]x=4[/tex]
Linear equation :The given equation is,[tex]3x-5=7[/tex]
To solve above equation, isolate variable x on one side and constant numbers on other side of equation.
[tex]3x-5=7\\\\3x=7+5\\\\3x=12\\\\x=12/3\\\\x=4[/tex]
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what is the equation for, 5 more then 3 times the number is one-third more then the sum of the number and itself
Which inequality has -25 in its solution set?
y + 11 > -9
y - 17 Less-than-or-equal-to -46
30 Less-than-or-equal-to y + 5
y + 20 > -30
Answer:
Let's check one by one:
y + 11 > -9
-25 + 11 > -9
-14 > -9 (wrong)
y - 17 <= -46
-25 - 17 <= -46
-42 <= -46 (wrong)
30 <= y + 5
30 <= -25 + 5
30 <= -20 (wrong)
y + 20 > -30
-25 + 20 > -30
-5 > -30 (Right)
=> Last option is solution
Hope this helps!
:)
The required inequality that contains -25 in its solution is y +20 > -30.
Option D is correct.
Number of inequality is given y + 11 > -9 , y - 17≤ -46, 30 ≤ y + 5, y + 20 > -30, the inequality that contains -25 to its solution of set to be determine.
What is inequality?Inequality can be defined as the relation of an equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
1) y + 11 > -9
y >-20
It does not contain -25. in its solution set.
2) y - 17≤ -46
y ≤ -29
It does not contain -25. in its solution set.
3) 30 ≤ y + 5
25 ≤ y
It does not contain -25. in its solution set.
4) y + 20 > -30
y > -50
It does contain -25 in its solution.
Thus, the required inequality that contains -25 in its solution is y +20 > -30.
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The sequence f(n) is geometric with a common ratio of 3 and initial term 4. Complete the table and write a closed- form definition.
Answer:
Step-by-step explanation:
The roads that connect three buildings form a right triangle. Use the image to find the distance between the library and the museum.
Answer:400 yards
Step-by-step explanation:Let L represents the position of library, R represents the restaurant and M represents the museum,
Since, By the given diagram,
∠MLR = 90°,
LR = 300 yd,
RM = 500 yd,
So, by the Pythagoras theorem,
By substituting the values,
Hence, the distance between library and museum is 400 yards.
A delivery service claims that orders arrive before noon 90% of the time. If Amy uses the delivery service 20 times, how many times can she predict the deliveries will arrive before noon? Is the claim accurate if her packages arrive after noon 4 times?
Answer:
They claim that 90% of the times, the orders arrive in time.
Then, out of N orders, (90%/100%)*N of them will arrive in time.
Here we have that N = 20
then the number that arrives in time is:
(90%/100%)*20 = 18
Now, experimetally we see that 4 times her packages arrived after noon (so 16 times the packages arrived in time), so we can calculate the experimental percentage as:
(X/100%)*20 = 16
X = (16/20)*100% = 80%
so the percentages doesn't match, so it the claim is not really accurate, but this is a small sample, so if the number of times that she uses the delivery increases, we may see that the experimental percentage gets closer to the claimed percentage.
PLEASE DO THESE NEEDED !!!!!!!!!!!!!!!!!!! PLEASE
Answer:
hope this works
Step-by-step explanation:
A1-x= 5
A2-x= 9
A3-x= 4
A4-x= -5
B1-x= 11
B2-x= 21
B3-x= 2
B4-x= -8
C1-x= 6
C2-x= 7
C3-x= 22/3 or 7.33
C4-x= 4.5
D1-x= 14
D2-x= 30
D3-x= 24
D4-x= 108
1) r= 10
2) n= -4
3) p= -9
4) r= 6
5) k= -4
6) n= 15
What is the value of x? Please help me
Answer:
x=33
Step-by-step explanation:
because DC and AB are the same, x must be 33.
Which is a perfect square?
072
81
90
99
Answer:81
Step-by-step explanation:
9•9 = 81
Please help!! Urgent! Due soon! - A bedroom is initially squat-shaped with each side x feet long. The room is then expanded so that the length of the room is increased by 3 feet, and the width increased by 4 feet. Choose the expression which represents how much bigger the area of the new bedroom is than the old bedroom.
Answer:
The second one; x²+7x+12
Step-by-step explanation:
So, since the beginning lengths of the square is x and x, the area of the square is x².
But then, you add 3 to one length, so that side is now (x+3), and then you add 4 to the width, so that is now (x+4).
Finally, you would multiply them together to get the equation you would use to find the new area.
For this, you would cross-multiply everything together; the x in the length by the x in the width, the x in the length by the 4 in the width, the 3 in the length by the x in the width, and then the 3 in the length by the 4 in the width. Now, all you have to do is add all of these together to get your answer.
Here's the work:
[tex](x+3)(x+4)\\x^{2}+3x+4x+12\\x^{2}+7x+12[/tex]
Are the ratios of free throws made to free throws attempted by the rockets and by the turbos equivalent?
Answer:
No, they're not equivalent.Step-by-step explanation:
In the image attaches you can observe the Free Throws Made and the Free Throws Attempted.
Team Rockets Made 8 Free Throws, and Attempted 24, which give a ratio of
[tex]R=\frac{8}{24}=\frac{1}{3}[/tex]
Team Turbos Made 16 free throws and attempted 36, which give a ratio of
[tex]T=\frac{16}{36}=\frac{8}{18} =\frac{4}{9}[/tex]
As you can see, the ratio are diferent.
Therefore, the ratios are not equivalent.
Answer:
no
Step-by-step explanation:
Find the slope of the line passing through the points (0,3) & (5,-1)
Answer:
[tex]-\frac{4}{5}[/tex]
Step-by-step explanation:
Slope is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (0,3) and (5,-1).
[tex]m=\frac{-1-3}{5-0}=\frac{-4}{5} =-\frac{4}{5}[/tex]
The slope is -4/5.
Answer:
y=mx+b
y=8/10x+(0,3)
Step-by-step explanation:
hope this helps
Whoever gets the answer right, gets the Brainliest. MUST BE CORRECT.
Answer:
it is b
Step-by-step explanation:
Answer:
the answer is b and im doing this to show u people that there has to be only 2 answers to a quetion to give brainliest
Step-by-step explanation:
1521 orange trees are planted in a garden in such a manner that there are as many trees in a row as there are rows in the garden. The number of trees in each row is
Answer: 39
Step-by-step explanation:
Total number of orange trees = 1521
Note :
There are as many trees in a row as there are rows in the garden.
Therefore :
Number of rows in the garden = number of trees in a row
Let the number of rows in the garden = y
Hence, the number of trees in a row also = y
Total number of trees in the garden = number of trees in a row × number of rows in the garden
Total number of trees in the garden = y × y
1521 = y × y ; 1521 = y^2
y = √1521
y = 39
Answer:
no.f trees in each row =39Step-by-step explanation:
Total number of orange trees = 1521
Note :
There are as many trees in a row as there are rows in the garden.
Therefore :
Number of rows in the garden = number of trees in a row
Let the no.f trees in each row =x
let the no.f rows=x
therefore total no.f trees =x raised to 2
x raised to 2 =1521
therefore x=39
there fore no.of rows =39
no.f trees in each row =39In a math class with 28 students, a test was given the same day that an assignment
was due. There were 18 students who passed the test and 23 students who completed
the assignment. There were 16 students who passed the test and also completed the
assignment. What is the probability that a student who passed the test did not
complete the homework?
Answer:
Probability that a student who passed the test did not complete the homework = 0.07
Step-by-step explanation:
Given:
Total number of students = 28
Number of students who passed the test = 18
Number of students who completed the assignment = 23
Number of students who passed the test and also completed the assignment = 16
To find: probability that a student who passed the test did not complete the homework
Solution:
Probability refers to chances of occurrence of some event.
Probability = number of favorable outcomes/total number of outcomes
Let A denotes the event that students passed the test and B denotes the event that students completed the assignment
P(A only) = [tex]P(A)-P(A\cap B)[/tex]
Here,
[tex]P(A)=\frac{18}{28}\,,\,P(A\cap B)=\frac{16}{28}[/tex]
So,
[tex]P(A\,\,only)=\frac{18}{28}-\frac{16}{28}=\frac{2}{28}=\frac{1}{14}=0.07[/tex]
Therefore,
probability that a student who passed the test did not complete the homework = 0.07
Answer:
2/9
Step-by-step explanation:
Choose all of the expressions that are equal to 6 × 45.
A. 6 × (40 + 5)
B. 4 + 2 × 45
C. (6 × 40) + (6 × 5)
D. (6 + 40) × (6 + 5)
E. 6 × (20 + 25)
Answer:
the answers are
option
A
B
E
Step-by-step explanation:
A. as when we do 40+5=45, so 6 x 45
B. as 4+2=6,so 6 x 45
E.as 20+25=45,so 6 x 45
When a data set contains values that tend to be around a central value with no bias left or
right, it gets close to a
Answer: Normal distribution or Gaussian distribution.
Step-by-step explanation:
Normal distribution, this means that we will see something that remaind us to a Gaussian Bell (a curved shape that goes to zero in the extremes and has a maximum in the middle)
If we have some biased points in one side, suppose left, we will have a skewed distribution, that has some important differences with the normal distribution at the time of describe it mathematically.
A painter needs 5 gallons of paint to finish a house. He has 3 quarts and 1 pint. How much more paint does he need?
Answer:One pint and 16 quarts or one pint and four gallons
Step-by-step explanation:there are two pints in a quart and there are 4 quarts in a gallon.
4. Select the correct answer.
All units for Volume are units squared. units"2
All units for volume are units cubed. units^3
Answer:
All units for volume are units cubed. units^3
If 5,x,y,40 are in geometrical progression, find x and y respectively.
Answer:
x = 10, y = 20
Step-by-step explanation:
Because this is a geometric sequence, we'll call the rate of change z. Because 40 is 3 terms away from 5, we can write 5 * z * z * z = 5z³ = 40.
z³ = 8 → z = 2
Now, we simply multiply 5 by 2 to get x, which is 10, and then we multiply x by 2 to get 10 * 2 = 20 for y. Hope this helps!
solve the pair of simultaneous equation
2-4(3x-y)=8(4-y)-39x and 8(4-y)-39x=6(y-x)
Answer:
X = -(146/123) , Y = 21/41
Step-by-step explanation:
2-4(3x-y) = 8(4-y)-39x2-12x-4y = 32-8y-39x
39x-12x+8y-4y = 32-2
27x+4y = 30
27x+4y-30 = 0
8(4-y) -39x = 6(y-x)32-8y-39x = 6y-6x
32-8y-6y-39x+6x = 0
-33x-14y+32 = 0