Answers
Answer:
Step-by-step explanation:
(a). sin2x + sinx = 0 ( 0 ≤ x ≤ 2π )
sin2x = 2sinx(cosx)
2 ( sin x )( cos x ) + sin x = 0
sin x ( 2 cos x + 1 ) = 0
sin x = 0 ⇒ x = 0 , [tex]\pi[/tex] , [tex]2\pi[/tex]
2 cos x = - 1
cos x = [tex]-\frac{1}{2}[/tex] ⇒ x = [tex]\frac{2\pi }{3}[/tex] , [tex]\frac{4\pi }{3}[/tex]
x ∈ { 0 , [tex]\frac{2\pi }{3}[/tex] , [tex]\pi[/tex] , [tex]\frac{4\pi }{3}[/tex] , [tex]2\pi[/tex] }
(b). sin 2x - 2 cos x = 0 ( 0 ≤ x ≤ 2π )
2 cos x ( sin x - 1 ) = 0
cos x = 0 ⇒ x = [tex]\frac{\pi }{2}[/tex] , [tex]\frac{3\pi }{2}[/tex]
sin x = 1 ⇒ x = [tex]\frac{\pi }{2}[/tex] , [tex]\frac{3\pi }{2}[/tex]
x ∈ { [tex]\frac{\pi }{2}[/tex] , [tex]\frac{3\pi }{2}[/tex] }
Related Questions
Prove that the value of the expression
(16^3–8^3)(4^3 +2^3) is divisible by 63.
Answers
Answer:
Step-by-step explanation:
16^3 - 8^3
Take out 8^3 as a common factor.
16^3 = 2^3 * 8^3
8^3(2^3 - 1)
8^3(8 - 1) = 8^3 * 7
(4^3 + 2^3) Expand
64 + 8 Combine
72
72 = 9 * 8
Conclusion
(8*3 * 7 )(9*8)
7*9 = 63
So any number containing 63 will divide into the reduced form of
(16^3–8^3)(4^3 +2^3)
Madison's favorite part of pizza is the crust. Pizza sizes are determined by their
diameter. Which size pizza should Madison order to get 37.68 inches of crust?
Answers
Answer:
Step-by-step explanation:
I need help please. What is the similarity statement for the triangle pair?
A. ΔXYZ~ΔNEW
B.ΔXZY~ΔNWE
C.ΔYZX~ΔNWE
D. ΔZYX~ΔENW
Answers
There are two taxi cab companies in Redwood. Their charges are listed below.
Redwood Taxi
$2.00 for the first mile
plus
$1.00 for each additional mile
Max's Taxi Service
$5.00 for the first mile
plus
$0.50 for each additional mile
According to the graph below, for how many miles will the charges from both taxi cab companies be equal?
1. 8
2. 1
3. 7
4. 4
Answers
Answer:
The answer is number 3 or 7 miles is when the charges in both the taxi cab companies will be equal.
Step-by-step explanation:
Redwood Taxi:
$2.00 + $1.00(6)
$2.00 + $6.00 = $8.00
Max's Taxi Service:
$5.00 + $0.50(6)
$5.00 + $3.00 = $8.00
Easier Solution:
Look at the image and see what coordinate both lines cross at. The X coordinate or 7 would be the answer.
Answer:The answer is number 3 or 7 miles is when the charges in both the taxi cab companies will be equal.
Step-by-step explanation:
Redwood Taxi:
$2.00 + $1.00(6)
$2.00 + $6.00 = $8.00
Max's Taxi Service:
$5.00 + $0.50(6)
$5.00 + $3.00 = $8.00
Easier Solution:
Look at the image and see what coordinate both lines cross at. The X coordinate or 7 would be the answer.
Find QR.
Write your answer as an integer or as a decimal rounded to the nearest tenth.
Answers
Answer:
QR ≈ 9.1
Step-by-step explanation:
using the cosine ratio in the right triangle
cos49° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{PR}{QR}[/tex] = [tex]\frac{6}{QR}[/tex] ( multiply both sides by QR )
QR × cos49° = 6 ( divide both sides by cos49° )
QR = [tex]\frac{6}{cos49}[/tex] ≈ 9.1 ( to the nearest tenth )
Pls help me worth 50 points + brainliest
(i only can give brainliest if 2 PEOPLE answer)
Answers
Answer:
$19.90
Step-by-step explanation:
Cost at Best Computers
$299 x (100 - 40)%$299 x 60%$299 x 0.6$179.40Cost at Val-U-Mart
$299 x (100 - 30)% - $10$299 x 70% - $10$299 x 0.7 - $10$209.30 - $10$199.30Money saved
199.30 - 179.40$19.90PLEASE HELP BEST ANSWER GETS BRAINLY
Answers
Answer:
it is the third one 1,133.54 in²
Step-by-step explanation:
38÷2=19 = R
19²×3.14 = 1,133.54 in²
The sum of 15 and twice a number is -31. Find the number
Answers
Answer:
-23
Step-by-step explanation:
15 + 2n = -31
15 + 2n - 15 = -31 - 15
2n = -46
n = -23
It is possible that a distribution of data may not actually contain one of the measures of central tendency. Which one might that be?
Question 3 options:
Range
Mode
Mean
Median
Answers
Hope this helps
Answer:
Mode
Step-by-step explanation:
PLATO users. There will always be a MEDIAN because there is always a middle number. There will always be a MEAN because you add the numbers. There will always be a RANGE because there is a high and a low number. There will sometime be no MODE if there is no reoccurring numbers.
given sin(theta) = -8/17 and pi (Picture of the problem below) (answers in picture below)
Answers
Answer:
(d) 240/289
Step-by-step explanation:
The trig identity for the sine of a double angle can be used to find the desired value.
sin(2θ) = 2sin(θ)cos(θ)
__
The cosine of this 3rd-quadrant angle is negative:
cos(θ) = -√(1 -(-8/17)²) = -(√(289 -64))/17 = -15/17
Then the desired sine value is ...
sin(2θ) = 2(-8/17)(-15/17) = 240/289
_____
Additional comment
The attached calculator result comes from the principal value of the arcsine function resulting in a 4th-quadrant angle for negative sine values. Double that angle will still be a 4th-quadrant angle. When the translation is made to the appropriate quadrant, the desired double angle will be a 1st-quadrant angle with a positive sine.
Which inequality doesn't belong?
5/4≤2 8.5≥0.95 8.5≤7 10.00≤100
Answers
Answer:
8.5 < 7
Step-by-step explanation:
8.5 is less than 7.
doesn't verify mathematically.
AB = 3(2x + 7), BC = 2x - 3, AC = 6x + 6
Answers
Answer:
^
Step-by-step explanation:
Please help me with math area finding
Answers
Answer:
832.5
Step-by-step explanation:
if you multiply the height by the base and then divide by 2 you will get this answer (it's the formula)
Use the information shown in the line plot. What is the total weight of the 4 heaviest melons?
Answers
Answer:
22.5 lbs
Step-by-step explanation:
the four heaviest melons are 5 1/2, 5 1/2, 5 1/2, and 6 pounds
when you add those together
5.5 + 5.5 + 5.5 + 6
you get
22.5 lbs
An electronics store reduced the price of a TV from $1100 to $946. What was the percent of decrease?
Answers
Answer:
14%
Step-by-step explanation:
946/1100 = 0.86
1 - 0.86 = 0.14 = 14%
Answer: 14%
Answer:
14% decrease
Step-by-step explanation:
Percentage Decrease = [ (Starting Value - Final Value) / |Starting Value| ] × 100
Percentage Decrease = [ (1100 - 946) / |1100| ] × 100
Percentage Decrease = [ (154) / |1100| ] × 100
Percentage Decrease = [ 0.14] × 100
Percentage Decrease = 14
Here’s a graph of a linear function. Write the equation that describes that function. Express it in slope-intercept form.
Answers
Answer:
y=5x-5
Step-by-step explanation:
The slope of the graph is 5 and the Y intercept is (0,-5). Plug into slope intercept form : y=mx+b to get the equation.
Find the percent of change 7 players to 10 players
Answers
70%
hope it really helps...!!!
The number of ways 4 chairs can be arranged.
Answers
Answer:
24 arrangements.
Step-by-step explanation:
ive done this before
If cos Θ = -0.1, find the value of cos (Θ + 2π) + cos(Θ + 4π).
Answers
Answer:
cos(Θ + 2π) + cos(Θ + 4π) = -0.2
Step-by-step explanation:
The cosine funciton is periodic with period 2π, so we have ...
cos(Θ) = cos(Θ + 2π) = cos(Θ + 4π) = -0.1
__
The sum is ...
cos (Θ + 2π) + cos(Θ + 4π) = -0.1 +(-0.1) = -0.2
Help please thank you
Answers
5 gallon / 20 hours = x gallons / 48 hours
Cross multiply
20x = 5*48
20x = 240
X= 12
Answer:
12 gallons
Step-by-step explanation:
What is the value of the expression 20 ÷ 4 + (6 x 2) − 2? (2 points)
15
22
17
28
Answers
Answer: 15
Step-by-step explanation:
20 ÷ 4 + (6 x 2) − 2
Start by solving the parenthesis
20 ÷ 4 + (12) − 2
Now using order of operations we know to do division before addition/subtraction
5+12-2
Solve addition/subtraction from left to right
17-2
15
Pleeeeeeeeeseee help meee!!!
Answers
Answer:
y= 44
Step-by-step explanation:
you know 4y so just
×11 and you get 44
With that in mind, try to answer the question.
If the diameter of the moon is 3476 km, what is the circumference of the moon,
in kilometers? (Round your answer to the nearest thousand kilometers.)
Answer
Answers
Answer:
10920.176064km
Step-by-step explanation:
Circumfrence = 2*pi*radius
radius = diameter/2
r = 3476/2
c=2(pi)r
c=2(pi)(3476/2)
c=10920.176064
what is the digit 9 in this number 195,487
Answers
Hope this helps
Answer:
In this case the number 9 would be located in the tens of thousands.
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Thank you so much for participate in the community of Brainly.com
I hope help you :)
Kind regards, Antonio.
let a=x2+4. use a to find the solutions for the following equation:(x2+4)2+32x2=48
Answers
esas son las respuestas segun yo pero revisalas para ver si estoy en lo correcto
Determine the domain of the function in the correct set notation. {x|x ∈ R, x ≠ –3} {x|x ∈ R, x ≠ 3} {x|x ∈ R, x ≠ 2} {x|x ∈ R, x ≠ –2}
Answers
Answer:
a on edg
Step-by-step explanation:
i just did the question
The correct set notation for the domain of the function is {x | x ∈ R, x ≠ 3}. Option {x | x ∈ R, x ≠ 3} is the correct answer.
The domain of a function is the set of all possible input values (x-values) for which the function is defined.
In this case, the given function is:
F(x) = (x - 4)/(x - 3)
The function is defined for all real numbers (x ∈ R) except when the denominator (x - 3) becomes zero, as division by zero is undefined.
Therefore, we need to find the value of x that makes the denominator zero and exclude that value from the domain.
The denominator becomes zero when:
x - 3 = 0
x = 3
So, the domain of the function is {x | x ∈ R, x ≠ 3}. This set notation means that the function is defined for all real numbers except x = 3. Thus, the correct set notation for the domain of the function is {x | x ∈ R, x ≠ 3}. Option {x | x ∈ R, x ≠ 3} is the correct answer.
To learn more about the domain;
https://brainly.com/question/28135761
#SPJ3
The complete question:
F(x) = (x - 4)/(x - 3)
Determine the domain of the function in the correct set notation. {x|x ∈ R, x ≠ –3} {x|x ∈ R, x ≠ 3} {x|x ∈ R, x ≠ 2} {x|x ∈ R, x ≠ –2}
Nancy and Kevin collect coins. Nancy has x coins. Kevin has 9 coins fewer than five times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and Kevin have.
Answers
Answer:
x + (5x-9)
Step-by-step explanation:
x stands for the number of coins Nancy has
Kevin has 9 less than 5 times what Nancy has, so his part of the expression is 5x-9
To find the total number of coins they have, you have to add Nancy's number of coins x plus Kevin's number of coins 5x-9
x + (5x-9)
But you have to put parentheses around Kevin's 5x-9 so that part of the expression is calculated first, as per order of operations
Find the solution to the system of equations.
3x + y + z = 6
3x - y + 2z=9
y+ Z=3
O A. x = 2, y=-1, z = 5
O B. x = 1, y = 0, z = 3
O C. x = 5, y = -2, z = 6
O D. x = 2, y = 1, z = 4
Answers
Answer:
B. x = 1, y = 0, z = 3
Step-by-step explanation:
Systems of linear equations are readily solved by a suitable calculator or spreadsheet. The attached calculator display shows the solution to be ...
x = 1, y = 0, z = 3
__
There are several ways a calculator can solve these equations. The method shown here is to input the equations as an augmented matrix of their coefficients, and reduce it to row-echelon form. The right-most column of the reduced matrix is the set of variable values in the same order as the coefficients.
A graphing calculator can also be used to graph the equations. You may have to write one variable in terms of the others. (Here, it is convenient to let z=3-y.) The second attachment shows the solution (x, y) = (1, 0). This is sufficient to choose the correct answer. Or, you can finish the solution by substituting into the expression for z: z = 3 -y = 3 -0 = 3.
Many calculators will solve the system of equations after you enter it as presented in the problem statement.
solve for x ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]
thankyou ~
Answers
Answer:
x²-5x+6 =0
x²-3x-2x+6 =0
x(x-3)-2(x-3)=0
(x-2)(x-3) =0
x-2 =0, x-3 = 0
x=2 , x = 3
x = 2 or 3 answer
Find the slope of the line passing through the points (-4, 1) and -9,5)
Answers
The slope of the line is -0.8.
The formula for distance is...
y2−y1 5−1
______= ________
x2−x1 −9− −4
And so when simplified we get
4
__
-5
Giving us -0.8.