Which expression is equivalent to sine StartFraction 7 pi Over 6 EndFraction?
Answers
Answer:
The answer is D: sin 11pi/6
<3
Step-by-step explanation:
The expression that is equivalent to the given expression is Sin(11π/6).
The given trigonometric expression is: [tex]Sin \frac{7\pi }{6}[/tex]
[tex]Sin\frac{7\pi }{6}[/tex] can be written as [tex]Sin(\pi +\frac{\pi }{6} )[/tex]
What is the value of Sin(π+θ)?The value of [tex]Sin(\pi +\theta)[/tex] is [tex]-Sin\theta[/tex].
So, [tex]Sin(\pi +\frac{\pi }{6} )=-Sin\frac{\pi }{6}[/tex]
We know that
[tex]Sin(2\pi -\theta)=-Sin\theta[/tex]
Or, [tex]-Sin\theta=Sin(2\pi -\theta)[/tex]
So, [tex]-Sin\frac{\pi }{6} =Sin(2\pi -\frac{\pi }{6} )[/tex]
[tex]-Sin\frac{\pi }{6} =Sin\frac{11\pi }{6}[/tex]
So, the required expression is [tex]Sin\frac{11\pi }{6}[/tex].
Therefore, the expression that is equivalent to the given expression is Sin(11π/6).
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Related Questions
2 box plots. The number line goes from 60 to 79. For the swim team, the whiskers range from 64 to 74, and the box ranges from 71 to 73. A line divides the box at 72. For the wrestling team, the whiskers range from 65 to 72, and the box ranges from 66 to 71. A line divides the box at 69.
The box plots represent heights of students on two sports teams.
What is the IQR for the swim team?
What is the IQR for the wrestling team?
Answers
Answer:
For the first question "What is the IQR for the swim team?" the answer should be the number 2. And for the second question "What is the IQR for the wrestling team?" the answer should be the number 5Step-by-step explanation:
answer :
1. the IQR for the swim team is 2.
2. the IQR for the wrestling team is 5.
What is the quotient of the division?
742 ÷ 7 = ?
Answers
Answer:
106
Step-by-step explanation:
700/7 = 100
42/7 = 6 + 100 = 106
Answer:
742÷7= 106
Step-by-step explanation:
What is the equation of the parabola that has its vertex at (7,6) and contains the
point (6,8)?
C A) y = 2x2 - 28x + 52
C B) y= 2x2 - 14x + 104
C) y= 2x2 - 28x+ 104
r D) y = x2 - 144+52
Answers
The solution is Option C.
The equation of the parabola is y = 2x² - 28x + 104
What is a Parabola?A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
y = a ( x - h )² + k
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k – p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
Let the vertex of the parabola be ( h , k ) = ( 7 , 6 )
Now , the point P ( 6 , 8 ) lies on the parabola
The equation of the parabola is given by
y = a ( x - h )² + k
Substituting the values in the equation , we get
y = a ( x - 7 )² + 6
8 = a ( 6 - 7 )² + 6
Subtracting 6 on both sides of the equation , we get
2 = a ( 1 )
So , the value of a = 2
Now , the equation of parabola is
y = 2 ( x - 7 )² + 6
On simplifying the equation , we get
y = 2 ( x² - 14x + 49 ) + 6
y = 2x² - 28x + 98 + 6
y = 2x² - 28x + 104
Hence , the equation of parabola is y = 2x² - 28x + 104
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estimate the square root of 82 to the nearest whole number
Answers
Answer:
The square root of 82 rounded to the nearest whole number is 9.
The square root of 82 is estimated to be 9, as it falls between the perfect squares 64 and 100, which have square roots 8 and 10 respectively, and it is closer to 64.
Explanation:The square root of a number is the value that, when multiplied by itself, gives the original number. For example, the square root of 64 is 8, because 8*8 equals 64. To estimate the square root of 82 to the nearest whole number, you should locate two perfect squares that 82 falls between. The perfect squares nearest to 82 are 64 (8^2) and 100 (10^2), so the square root of 82 must be between 8 and 10. As 82 is closer to 64 than to 100, the square root of 82 would be closer to 8. Therefore, we can estimate the square root of 82 to the nearest whole number as 9.
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-12x-14=-62
-12x = ?
Answers
Answer: No solution
Step-by-step explanation: -12x-14=-62-12x
You would have to simplify the -12x but you can't so this would be a no solution.
Answer:
No solution
Step-by-step explanation:
Please I need to get this right!!
Answers
Answer:
12.56
Step-by-step explanation:
The formula for circumference is:
Circumference = Pi x Diameter
In this case the diameter is 4.
So you can simplify Pi to just 3.14 and multiply that times 4 which gives you 12.56.
Hope this helped!
Answer::25.13
Answer:25.13
Step-by-step explanation: C=2πr=2·π·4≈25.13274
This is the correct answer to the question and thats the explanation
It wont let me turn it in for some reason
What is the mean for the data set?
{39, 43, 46, 86, 22, 39, 75}
Drag and drop the correct answer into the box.
mean ASAP
Answers
Curtis rides his bike 9 miles one way then turns around and rides back. On the return trip, his speed is increased 20% because the wind is at his back. Let s be his speed in miles per hour riding against the wind. What is an expression that represents his total time in hours riding there and back?
Answers
Answer:
The expression that represents the total time of his route is "time = 16.5/s".
Step-by-step explanation:
Curti's ride has two parts, the first one which was made at a speed of "s" and the second one where his speed was 20% higher, therefore "1.2s". The total time to complete this course is the sum of the times for each part, since the average speed is given by:
time = distance/speed
Then the total time for the track is:
time = 9/s + 9/(1.2s)
Using LMC:
time = (1.2*9 + 9)/1.2s = (10.8 + 9)/1.2s = 19.8/(1.2s) = 16.5/s
The expression that represents the total time of his route is "time = 16.5/s".
Someone pls help me with this question I’ll mark as brainliest
Answers
Answer:
A.
Step-by-step explanation:
The ball height goes from 3 to 7 in 2 seconds.
7-3=4
4/2 is 2.
Therefore A. is correct.
Is y= x^2-1 a linear equation?
Answers
Answer:
no
Step-by-step explanation:
it involves a square, which when graphed, generates a curve
Answer:
NO
Step-by-step explanation:
Step 1: Determine if linear
No, since the x term is squared, that produces the bend that makes a parabola. If the x term is not squared is just by itself, that is a linear equation.
Answer: NO
Graph Below
***PLEASE HELP*** I will give you 20 Brainly points
What is the approximate surface area of the sphere?
Answers
Answer:
Option B 451.9 km^2
Step-by-step explanation:
I WILL BE GIVING 15 points and 5 stars and thanks. Please answer quickly. A housewares company wants to add a new size of mug to its collection of available products. Its original mug design has a height of 120 millimeters and a diameter of 96 millimeters, and the new mug will have a height of 100 millimeters, as shown. If the company wants the new mug to be geometrically similar to the original mug, what should the diameter of the new mug be?
a = 81 mm
b = 80 mm
c = 76 mm
d = 72 mm
Answers
Answer:
b 80 mm i think because removed 20 mm
Answer:
c
Step-by-step explanation:
if your taking 20 mm from hight you have to take 20 from the diameter
Which triangle defined by the given points on the coordinate plane is similar to the triangle illustrated?
A)
(-9,-8)(-9,0)(2.-8)
b
(-9.-8)(-9. 1)(2, -8)
c
(-9.-8)(-9,0)(3.-8)
D)
(-9.-8)(-9. 1)(3. -8)
Answers
are there whole numbers that are not rational numbers.
Answers
PLZZ HELP!!! A graphic designer chose a base font size and represented it as 1 on the scale. He then listed some consecutive scale sizes. Two consecutive sizes were 4.096 and 6.5536.
What scale size came before 4.096?
Enter your answer, as a decimal, in the box.
Answers
XY and BD are parallel lines.
X is a point on AB and C is a point on BD.
XB = XC.
a) Complete this sentence.
Angle XBC = 55⁰ because
b) Work out angle BXC.
Give a reason for each angle you work out.
Answers
Answer:
Hey i got the top one its AXY and XBC ar corresponding angles
Step-by-step explanation:
help it helps you ,i will look and try to do the bottom one aswell, kan you mark me the brainlist pls.
Final answer:
Angle XBC equals 55° because of the Alternate Interior Angles Theorem applied to the parallel lines XY and BD. Angle BXC in triangle XBC is worked out to be 70° due to the Angle Sum Property of a triangle, considering triangle XBC is isosceles with XB equal to XC.
Explanation:
Angle Measurements in Parallel Lines and Triangles
When considering XY and BD as parallel lines, and points X on AB and C on BD such that XB = XC, we can analyze the angles formed using the properties of parallel lines and triangles.
a) Angle XBC = 55° because of the Alternate Interior Angles Theorem, which states that when two parallel lines are crossed by a transversal, the alternate interior angles are congruent. Since XY and BD are parallel, and AB is a transversal, angle XBC is congruent to the alternate interior angle on the opposite side, which must also measure 55°.
b) To work out angle BXC, consider triangle XBC which is isosceles given that XB = XC. Since angle XBC is 55° and triangle XBC has two equal sides (XB and XC), the base angles (XBC and XCB) are equal. So angle XCB is also 55°. The sum of all angles in a triangle is 180°, so angle BXC = 180° - (55° + 55°) which equals 70°.
The reason that angle BXC is 70° is due to the Angle Sum Property of a triangle, which is the sum of angles in a triangle is always 180°.
Use the original price and the markup to find the retail price.
Original price: $42; Markup: 7.5%
Answers
Answer:
$45.15
Step-by-step explanation:
When you are dealing with questions with percents in them—like this one—you have to turn the percent into a decimal. To make 7.5% into a decimal, you move the decimal point 2 spaces to the left. So, 7.5% is also 0.075.
Now, we have to use this formula for these types of questions:
x + x(y)= the price with tax (or markup)
So, we can substitute the variables.
42+42(0.075)=the retail price
42(0.075)=3.15
42+3.15=45.15
So, the retail price will be $45.15
In a population of 1,000 students, 50 were asked by
random sampling what their plans were after graduation
from high school. Their responses are shown in the table
Using proportional reasoning, make a prediction about
how many students you would expect to have plans to
attend college
Intention after
Graduation
Number of
Students
50
1000
27
College
Job
27,000 = 50
13
Military
No plans
About
would have plans ao attewel college
Intro
Answers
Answer:540
Step-by-step explanation:
I got it right
Answer:540
Step-by-step explanation:
i got it right on edgen uity
Solve for AD.
A) 12
B) 10
C) 8
D) 6
Answers
Answer: I believe the answer is C) 8
The pattern goes 0, 4, 8, 12
Inbetween them are 2, 6, 10
A kite was broken into two triangles.
A kite is broken into 2 triangles. Both triangles have a base of 16 centimeters and a height of 5 centimeters.
The height of the triangle h is
cm.
Answers
Step-by-step explanation:
A kite is broken into two triangles
Given the base of the traingle, b = 16 cm
Height of the triangle, h = 5 cm
Area of traingle = [tex]\frac{1}{2} (b.h)[/tex]
= [tex]\frac{1}{2} (16) (5)[/tex]
= 40 [tex]cm^{2}[/tex]
Area of the kite = area of triangle 1 + area of triangle 2
= 40 + 40
= 80 [tex]cm^{2}[/tex]
Answer:
its five
Step-by-step explanation:
If r is an integer greater than 1, what is the value of (−1)^r +1 if r is an odd integer
Answers
Answer:
zero
Step-by-step explanation:
(−1)^r when r is an odd integer greater than 1 always equals -1 then -1 + 1 = zero
Answer:
0
Step-by-step explanation:
(−1)^r when r is an odd integer greater than 1 always equals -1,then -1 + 1 =0.
Hope this helps.
If the initial population of panda was 100 and grew to 125 after the first year, which of the following functions best models the population of pandas P with respect to the number of years t if the population growth of pandas is considered to be linear?
A. P= 25t + 100
B.P= 100(1.25)^t
C. P= 100(1.2)^t
D.P= 20t^2 + 5t +100
Answers
Hi,
if growth continue to the same rate, meaning +25% more every year, then B is the answer :
100 (1.25)^t
The correct function that models the linear growth of the panda population is P = 25t + 100 as it correctly shows the yearly growth of 25 pandas from an initial population of 100.
Explanation:The student is given that the initial population of pandas was 100, and after one year, it has increased by 25 to 125. As the question specifies a linear growth for the pandas' population, the model that would best fit this would be a linear function. The growth per year is 25 pandas, which becomes the slope of our linear function. The initial population is the y-intercept, which is the value of P when t = 0. Thus, the correct function that models this scenario is P = 25t + 100.
Option A correctly represents the linear population growth, while the other options represent exponential or quadratic growth, and thus are not suitable models for this particular case of linear growth.
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an 8-pound bag of potatoes costs $18 at this price how much would 15 pounds cost?
Answers
Use the drop-down menus to justify Marlena's work in
each step of the process.
Step 1:
Step 2:
Step 3:
addition property of equality
multiplication property of equality
combined like terms
Answers
Answer: additional prop
subtraction prop
division prop
Step-by-step explanation:
Solve: 10 sin^2(X) - 3sin(X) - 1 = 0
Let u = sin(x).
The given equation is equivalent to
(2u - 1)(5u + 1) = 0
(10u + 1)(u - 1) = 0
(5u - 1 )(2u- 1) = 0
Answers
Answer:
(2u-1)(5u+1)=0
(2u-1), sin(x)= 1/2
(5u+1), sin(x)= -1/5
The solutions to the equation:
x=pi/6 + 2kpi
x=5pi/6 +2kpi
3.34+2kpi
-0.201+2kpi
Step-by-step explanation:
Correct on edge
[tex](2u-1)(5u+1)=0(2u-1), sin(x)= 1/2(5u+1), sin(x)= -1/5The solutions to the equation:x=pi/6 + 2kpix=5pi/6 +2kpi3.34+2kpi-0.201+2kpi[/tex]
How do you know if equations are equivalent?To solve this, you need to find "x" for each equation. If "x" is the same for both equations, then they are equivalent. If "x" is different (i.e., the equations have different roots), then the equations are not equivalent.
What is an example of an equivalent equations?
For example, if we take 3x + 12 = 7x - 2 and subtract 3x from both sides and add 2 to both sides, we get 14 = 4x. In doing this, we haven't changed the solution set, so 3x + 12 = 7x - 2 and 14 = 4x are equivalent.
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The box plots show the average wind speeds, in miles per hour, for various cities in two different countries
Average Wind Speeds of Cities in Country A
Average Wind Speeds of Cities in Country B
Which statement compares the median wind speeds for the data in the two box plots?
The median wind speed for country A is greater than the median wind speed for country B.
The median wind speed for country B is greater than the median wind speed for country A
The median wind speed for country A is about 7 miles per hour, and the median wind speed for country B is about 9
miles phour
Answers
Answer:
B
Step-by-step explanation:
Alex’s printer can print 8 photos in 12 minutes.
Khalil’s printer can print 24 photos in 1 hour.
Which process could you use to help determine how much longer it will take Khalil’s printer to print 120 photos than Alex’s?
Select all that apply.
Answers
Answer:
what are your options for select all that apply
Step-by-step explanation:
Answer:
what are the options for the answer ?
Step-by-step explanation:
Suppose cheese costs $22 per kilogram. Ella buys a 75-gram piece of cheese and Ali buys a 250-gram piece of cheese.
How much more did Ali pay for his cheese?
$1.10
$3.85
$7.15
$11.00
Answers
The amount of more did Ali pay for his cheese is $3.85.
Calculation of more amount payment:Since Suppose cheese costs $22 per kilogram. Ella buys a 75-gram piece of cheese and Ali buys a 250-gram piece of cheese.
[tex]= (22\times 250) - (22 \times 75)\\\\[/tex]
= $5,500 - $1,650
= $3,850
So it should be like $3.85
hence, The amount of more did Ali pay for his cheese is $3.85.
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what is the vertex of the parabola
1. (-1,0)
2. (0,-3)
3. (1,-4)
4. (3,0)
Answers
Remember that the vertex is the center of the parabola.
Te assembly started at 3:02pm. It ended at
3:58pm. How long was the assembly?
Answers
Answer:
The assembly was 56 minutes long
Step-by-step explanation:
Answer: The assembly lasted 56 minutes.
Step-by-step explanation:
If you just pay attention to the minutes (2 and 58 respectively), you can subtract the original amount from the end amount.
58-2=56