Answers
Answer:
First option [tex]0, \frac\pi2, \pi, \frac{3\pi}2[/tex]
Step-by-step explanation:
first of all, let's replace the lhs with the equivalent in sine (from the pythagoran identiy on sine and cosine)
[tex]1-sin^2\theta =1-sin\theta[/tex]
At this point we take 1 from both side, and change signs just out of convenience.
[tex]\sin^2\theta =sin\theta[/tex]
Now we have 2 options. If [tex]sin \theta =0 \leftrightarrow \theta = k\pi[/tex] the equation is verified, and we got two solutions [tex]\theta =0; \theta = \pi[/tex]. Else, we can divide by [tex]sin\theta[/tex] and we get
[tex]sin\theta = 1 \leftrightarrow \theta = \frac\pi2+k\pi[/tex].
We can add everything together and write
[tex]\theta = k\frac\pi2; k\in\{0,1,2,3\}[/tex] or, in our case, the first answer.
Related Questions
what is the lie fact about sociology
Answers
Answer: Social science or sociology is considered as science but it is a pseudoscience.
Step-by-step explanation:
The sociology is considered as science as the study of social class, ethnicity, and religion abide by people of the society. Like, other factual sciences like chemistry, biology, and physics the facts cannot be rectified or verified by experimental trials. Instead, it is based on assumption and day to day experience with surrounding social environment. Thus, we can say that sociology is a science is a lie.
Find the values of a, b, and c such that the equation y=ax2+bx+c has ordered pair solutions (1,16), (−1,−2), and (0,−1). To do so, substitute each ordered pair solution into the equation. Each time, the result is an equation in three unknowns, a, b, and c. Then solve the resulting system of three linear equations in three unknowns, a, b, and c.
Answers
Answer:
c = -1
b = 9
a = 8
Step-by-step explanation:
16 = a × 1² + b × 1 + c
-2 = a × (-1)² + b × (-1) + c
-1 = a × 0² + b × 0 + c .........-> -1 = c
16 = a + b + c
-2 = a - b + c
16 = a + b - 1
-2 = a - b - 1
a + b = 17
a - b = -1 .......-> a = b - 1 ........ a = 9 - 1 = 8
(b - 1) + b = 17
2b - 1 = 17
2b = 18 .......-> b = 18/2 = 9
Answer:
y = 8x² +9x -1
Step-by-step explanation:
The coefficients of the quadratic function can be found from three points by substituting the point values into the equation and solving for the coefficients.
The equation we want to find coefficients for is ...
y = ax² +bx +c
For point (1, 16), the equation is 16 = a(1²) +b(1) +c
For point (-1, -2), the equation is -2 = a(-1)² +b(-1) +c
For point (0, -1), the equation is -1 = a(0) +b(0) +c
__
The last of these equations gives a value for c (c=-1). Substituting that into the other two gives the equations in a and b as ...
a + b = 17
a - b = -1
Adding the two equations gives ...
2a = 16 ⇒ a = 8
Subtracting the second from the first gives ...
2b = 18 ⇒ b = 9
Then the desired quadratic equation is ...
y = 8x² +9x -1
Calculate the standard error. May normality be assumed? (Round your answers to 4 decimal places.)
Answers
Answer:
EX: 1.5436666=1.5437
1.12455555=1.1246
1.29244827=1.2924
The length of a rectangle is 20sq ft. Find the length and the width
Answers
Answer:
Step-by-step explanation:
5 or 4 can be the length. And 5 and 4 can be the width.
length: 5, 4, 2, 10, etc.
width: 5, 4, 2, 10, etc.
the numbers listed above are options. Multiply the numbers.
And
.
there are many more, but these are commonly used. Hope it helps!
The possible results of an experiment are called its
Answers
A sample contains 300 grams of carbon-11, which has a half-life of 20 minutes.
Write a function, A, to represent the amount of carbon-11 remaining in the sample after T minutes.
Answers
Answer:
Step-by-step explanation:
Find the missing side lengths.
Answers
Answer:
a.180-10
[tex]180 - 10 \sqrt{3 } - 60[/tex]
=use your calculator
June is driving from Brookline, Massachusetts to Brooklyn, new york. The cities are 200 miles apart. Pretend June lives in a world in which she encounters no traffic jams and can drive at a constant speed of 50mph the entire way. Consider the following function. the distance June has traveled, c, is a function of her driving time, t.
Answers
It took June 4 hours to get from Brookline to Brooklyn.
Time calculationGiven that June is driving from Brookline, Massachusetts to Brooklyn, New York, and the cities are 200 miles apart, and she can drive at a constant speed of 50mph the entire way, to determine the function that solves the time June takes to complete the route, the following calculation must be made:
C / Constant speed = T200 / 50 = T4 = T
So it took June 4 hours to get from Brookline to Brooklyn.
Learn more about time calculation in https://brainly.com/question/26707195
Answer:
4 hours
the time(t)=4
Can you help me please i will give you a branlist and make sure it roght
Answers
Answer:
x=20
Step-by-step explanation:
Please help me with this
Answers
Answer:
Step-by-step explanation:
to make life easier, i'll give both angles letters
Angle ABC= x
Angle CBD= y
x= y(1/3)
x+y=180
now substitute
y(1/3) +y =180
y(4/3) =180
y(4/3) * (3/4) = 180 * (3/4)
y= 135
CBD is 135 degrees
what value will(i)raised to power 8 give?
Answers
[tex]i = \sqrt{ - 1}[/tex]
[tex]i {}^{2} = - 1[/tex]
[tex]i {}^{ 3} = - 1 \sqrt{ - 1} [/tex]
[tex]i {}^{4} = 1[/tex]
[tex]i {}^{8} = i {}^{4} \times i {}^{4} = 1 \times 1 = 1[/tex]
Franco grew 2,820 flowers with 47 seed packets. With 67 seed packets, how many total flowers can Franco have in his garden? Assume the relationship is directly proportional.
Answers
Answer:
941
Step-by-step explanation:
Write answer as an order pair
y=3x-4
Y=2 or 5x + 9
Answers
1) (1, -1), (0, -4), (3, 5), and (-2, -10).
2) (5, 2) and (-8, 2)
Which of the following is a secant?
Answers
Answer:
Line EF is a secant. I hope this helps!
Answer:line ef
Step-by-step explanation:
Describe an “easy” method when multiplying or dividing a decimal by powers of ten.
Answers
Answer:
Move the decimal.
Step-by-step explanation:
Multiply by 10, move decimal place one place to the left. Divide by ten, move one to the right.
SOMEONE PLEASE HELP ME !!! ASAP
Answers
Answer:
a; line BC corresponds to line FG
Step-by-step explanation:
we know that a is correct as after translating BC and FG are on the same side of the rectangle and have the same length
Which operation should be used to solve x/3 = 15 ?
Answers
Answer:
Multiplication
Step-by-step explanation:
[tex]\frac{x}{3} =15[/tex]
To get the 3 out of the denominator, you would have to multiply each side by 3:
[tex]3*\frac{x}{3} =3*15\\x=45[/tex]
Answer:
X=45
Step-by-step explanation:
Multiply 3 on both sides
A self-serve frozen yogurt restaurant charges its customers according to the weight of their filled frozen yogurt cup. So, the amount they charge is directly proportional to the weight of the purchase. If they charge $5.04 for a 12-ounce cup, how much do they charge for a cup weighing 8 ounces?
Answers
A câmera is capable of snapping 1/2 of a picture per second how long will it take the camera to snap 6 pictures
Answers
So if you count by 2: 2,4,6,8,10,12
You can see that it would take 12 seconds
Hope this was helpful :)
Answer: 12 seconds
Step-by-step explanation:
Step 1: Find the unit rate
1÷0.5=2
1 picture takes 2 seconds
Step 2: Find amount of time taken to snap 6 pictures
2*6= 12
A group of 49 hikers registered for an 8-day trekking trip. The organizers arranged food to last for the entire trip. A few last minute registrations saw more hikers join the expedition. As a result, the food lasted only for 7 days. How many hikers in all went trekking?
Answers
Answer:
56 people
Step-by-step explanation:
49 times 8= 392
392 divided 7= 56
2. Which is the absolute value of 9 and -9?
А -9
с 9
В 0
Answers
Answer:
0
Step-by-step explanation:
9-9=0
-9 is basically symbolizing subtraction
the carpenter is tasked to fence a trapezoid lot whose sides are as follows : 9x, 8x-2, 17x-6 and 5x+1, where x represents the length of the piece of wood in meters that will be used. what expression could represent the total length of trapezoid to be fenced?
Answers
not necessarily. The two sides of equal length could be adjacent sides.
Find the mean of the sampling distribution of sample means using the given information. Round to one decimal place, if necessary. μ=51 and σ=9; n=36
Answers
The sample mean of the distribution is an estimate of the population mean
The mean of the sampling distribution of sample means is 51
How to determine the meanThe given information are:
Population mean, μ = 51
Standard deviation, σ = 9
Sample size, n = 36
The sample mean is an estimate of the population mean.
So, we have:
[tex]\bar x = \mu[/tex]
Substitute known values
[tex]\bar x = 51[/tex]
Hence, the mean of the sampling distribution of sample means is 51
Read more about sampling distributions at:
https://brainly.com/question/15713806
A(n) ______ can be used to make hand measurements of angles of interest with the joint centers forming the vertices of the angles between adjacent body segments.
Answers
Answer:
The blank should say 'protractor'.
Step-by-step explanation:
I do not have one sorry,
what is 12.8% of 1,300?
Answers
Answer:
166.4
Step-by-step explanation:
Percentage of 12.8% of 1300 = ? 12.8% of 1300 is equivalent to multiplying them: 12.8% × 1300. 12.7% of 1300 = ? 12.9% of 1300 = ? 1% of 1300 = ? Detailed ...
What is the 6th term in the following sequence?
48, 40, 32, 24,
A.0
B.16
C.20
D.12
Answers
Answer:
should be 8 unless the first term is 56? or the question asks for 5th term which is 16
Step-by-step explanation:
Difference between 1st term and 2nd:
48-40 =8
Difference between 2nd term and 3rd:
40-32 =8
Clearly the jump between 1 point and the next is subtracting 8 or adding -8:
so 5th term will
24-8 =16
6th term:
16-8 =8
Answer:
16
Step-by-step explanation:
d=8
a=T1-d
48-8=4
T6=T5-d=8
In a recent year , 1286 female deer were born in Clark country.That is 93 fewer than the number of male deer born .How many male deer were born that year?
Answers
Answer:
1382 Male deer.
Step-by-step explanation:
1289 + 93 = 1382
Write the equation of the line that is perpendicular to 3x+2y=8 and goes through the point (-5,2)
Answers
Answer:
[tex]\displaystyle y=\frac{2}{3}(x+5)+2[/tex]
Step-by-step explanation:
We need to find the equation of the line perpendicular to the line 3x+2y=8 and passes through (-5,2).
The given line can be expressed as:
[tex]\displaystyle y=-\frac{3}{2}x+4[/tex]
We can see the slope of this line is m1=-3/2.
The slopes of two perpendicular lines, say m1 and m2, meet the condition:
[tex]m_1.m_2=-1[/tex]
Solving for m2:
[tex]\displaystyle m_2=-\frac{1}{m_1}[/tex]
[tex]\displaystyle m_2=-\frac{1}{-\frac{3}{2}}[/tex]
[tex]\displaystyle m_2=\frac{2}{3}[/tex]
Now we know the slope of the new line, we use the slope-point form of the line:
[tex]y=m(x-h)+k[/tex]
Where m is the slope and (h,k) is the point. Using the provided point (-5,2):
[tex]\boxed{\displaystyle y=\frac{2}{3}(x+5)+2}[/tex]
Given p: Today is October 6 and q: Today is Nina's birthday.
Match the conditional statement to its symbolic form.
----
If today is Nina's birthday, then it is October
6.
qp
If today is not October 6, then it is not Nina's
birthday
p>
If it is not Nina's birthday, then today is not
October 6.
---
If today is October 6, then it is Nina's
birthday
Answers
Answer:
Step-by-step explanation:
A glass holds 189 milliliters of juice. How many liters will 36 glasses hold?
(A) 6,804
(B) 680.4
(C) 68.04
(D) 6.804
Answers
Answer:
A
Because you have to Multiply
189 by 36