HURRY GETTING TIMED Which values are two of the possible solutions to the equation?
Which values are two of the possible solutions to the equation?
Sine (5 x minus pi) = StartFraction StartRoot 2 EndRoot Over 2 EndFraction, 0 less-than-or-equal-to x less-than 2 pi
Left-brace StartFraction pi Over 20 EndFraction, StartFraction 3 pi Over 20 EndFraction right-brace
Left-brace StartFraction pi Over 4 EndFraction, StartFraction 7 pi Over 4 EndFraction right-brace
Left-brace StartFraction pi Over 4 EndFraction, StartFraction 7 pi Over 20 EndFraction right-brace
Left-brace StartFraction 5 pi Over 4 EndFraction, StartFraction 7 pi Over 4 EndFraction right-brace
Answers
The possible values of the solutions to the equations are; (π/4, 7π/4)
How to solve trigonometric equations?
We are given the equation;
sin(5x - π) = (√2)/2
Now, (√2)/2 is also expressed as 1/√2.
Thus;
sin(5x - π) = 1/√2
5x - π = sin⁻¹(1/√2)
5x - π = π/4
5x = π + π/4
5x = ⁵/₄π
Thus;
x = π/4
Now, since x < 2π, then it means it is in the fourth quadrant. Thus;
x = 7π/4
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Related Questions
I need this last one I would give all my pints bcz I don’t understand it
Answers
the one dot by itself is 6,-5 and the line that is pink with two black dots are the slope-intercept of the equation y=3/4x-2 and theirs the answer copy and paste my image and quote to answer the question.
Please help middle school math
Answers
Answer:
Greater than 7 cm.
Step-by-step explanation:
Answer:greater than 7 cm
Step-by-step explanation:
55% of what number is 77?
Answers
Answer:
42.35
Step-by-step explanation:
hope it helps po.
Answer:
The number is 140
Step-by-step explanation:
Let n be the unknown number
of means multiply, is means equals
55% * n = 77
Change to decimal form
.55n = 77
Divide by .55
.55n/.55 = 77/.55
n =140
The number is 140
Sydney read 50 pages in 40 minutes. She reads at a constant rate.
How many pages can Sydney read per minute?
Help me please!
Answers
Answer: Sydney can read 1 ¼ or 1.25 pages per minute.
Your Welcome.
What is 12 = 1 + a/1 -a?
Answers
Answer:
There is no solution
Step-by-step explanation:
There are no values of (a) that make the equation true.
Answer:
a = 11/13
Step-by-step explanation:
Multiply both sides by 1 - a
12(1 - a) = 1 + a
= 12 - 12a = 1 + a
Subtract 12 from both sides
= -12a = -11 + a
Subtract a from both side
-13a = -11
Divide by -13 each side
-13a/13 = -11/-13
= a = 11/13
45. A population of llamas is growing at a constant yearly rate of 6%. At what rate is the llama population
growing per month? Please assume all months are equally sized and that there are 12 of these per year.
Round to the nearest tenth of a percent.
Answers
Answer:
0.1%
Step-by-step explanation:
6% = 6/100 or 0.06
0.06 divided by 12 is 0.005
0.005 or 5/100 = 0.05%
rounded to the nearest tenth is 0.1%
-25m-10+10m+15
:)
pls help
Answers
Answer:
-5(3m-10
Step-by-step explanation:
Answer:
-15m+5
Step-by-step explanation:
-25 and 10 is -15 bc of the signs and the same with -10 and 15
Jonas was visiting Garner State Park. At the entrance, he saw a map of the park. The legend stated that 1.5 inches on the map represents 2.5 feet in the park. On the map, how many inches would represent 6 actual feet?
Answers
Answer: 3.6
Step-by-step explanation:
The required scale in inches for the 6 actual feet is 3.6 inches.
Given that,
Jonas was visiting Garner State Park. At the entrance, he saw a map of the park. The legend stated that 1.5 inches on the map represent 2.5 feet in the park. On the map, how many inches would represent 6 actual feet is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
On the map,
1.5 inches = 2.5 feet
1 feet = 1.5 / 2.5 inches
1 feet = 0.6 inches
Multiply both sides by 6.
6 feet = 3.6 inches
Thus, the required scale in inches for the 6 actual feet is 3.6 inches.
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As an estimation we are told 5 miles is 8 km.
Convert 2.5 miles to km.
Answers
Answer:
[tex]4km[/tex]
Step-by-step explanation:
In order to find the answer to this question you must simply divide.
[tex]5m=8km[/tex]
[tex]2.5m=4km[/tex]
[tex]8\div2=4[/tex]
[tex]5=2.5+2.5[/tex]
[tex]=4km[/tex]
Hope this helps
Identify the expression equivalent to 4x + x + 7) - 2x+8 - 4 by substituting x= 1 and x = 2. А. 6x + 11 B. 3(x+7) C. 2(3x + 16) D. 3x + 16
please help I'm failing badly
Answers
Answer:
4x + x + 7) - 2x+8 - 4 by substituting x= 1 and x = 2. А. 6x + 11 B. 3(x+7) C. 2(3x + 16) D. 3x + 16
Step-by-step explanation:
CJ earned a score of 75% on his math quiz. Each question on the quiz was worth 1 point, and CJ got 18 questions correct. How many questions were on the quiz? There were questions on the quiz
Answers
Answer:
24 questions
Step-by-step explanation:
Given
[tex]Score = 75\%[/tex]
[tex]Correct\ Questions = 18[/tex]
Required
Determine the number of question
Represent this with n.
Since each question has 1 point each, then
[tex]Score * Number\ of\ questions = Correct\ Questions[/tex]
Substitute values for Score, Number of Questions and Correct Questions
[tex]75\% * n = 18[/tex]
Make n the subject.
[tex]n = \frac{18}{75\%}[/tex]
Convert percent to decimals
[tex]n = \frac{18}{.75}[/tex]
[tex]n = 24[/tex]
Hence, there are 24 questions in total
Tristan and his children went into a restaurant and will buy hotdogs and tacos. Each hotdog costs $4 and each taco costs $3. Tristan has a total of $30 to spend on hotdogs and tacos. Write an inequality that would represent the possible values for the number of hotdogs purchased, hh, and the number of tacos purchased, t.
Answers
Answer:
I don't know about this problem, but what I do know is that with $30, you could buy either 7 hotdogs, or 10 tacos.
Step-by-step explanation:
Answer:
4h + 3t ≤ 30
Step-by-step explanation:
delta
Someone help me plz ty :)
Answers
Answer:
X = 12.12
Step-by-step explanation:
Use the Pythagorean Theorem for this question.
[tex]a^2 + b^2 = c^2[/tex]
7 is one of the legs while 14 is the hypotenuse. So we set up the equation like this:
[tex]a^2 + 7^2 = 14^2[/tex]
Square 7 and 14:
[tex]a^2 + 49 = 196[/tex]
Minus 49 from both sides:
[tex](a^2 + 49) - 49 = (196) - 49[/tex]
[tex]a^2 = 147[/tex]
Square root both sides:
[tex]\sqrt{a^2} = \sqrt{147}[/tex]
[tex]a = 12.12[/tex]
Therefore x is equal to 12.12
Hope this helps!!
- Kay
Please help!
Convert the standard linear equation to slope intercept form and graph
Thank youn
Answers
Challenge A large university accepts 50% of the students who apply. Of the students the
university accepts, 25% actually enroll. If 20,000 students apply, how many actually enroll?
students would actually enroll.
Answers
Answer:
Step-by-step explanation:
20,000 students 50% are accepted so that is 10,000 students of that 10,000 only 25% enroll which is 2,500.
Answer:
2,500 students
Step-by-step explanation:
50% of 20,000 is the amount of students that were accepted. That makes 10,000 students accepted. 25% of 10,000 is the amount enrolled. 25% is 1/4. So 1/4 of 10,000 is 2,500. So 2,500 students enrolled in that university.
An equilateral triangle with side length 1 cm is shown in the diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.
Answers
Answer:
1/2 cm
Step-by-step explanation:
the area of the triangle is √3/4cm^2.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
Here, given that,
An equilateral triangle with side length 1 cm .
we know,
area of An equilateral triangle
=√3/4×side²
so, the area of the triangle = √3/4×1
=√3/4 cm^2
hence, the area of the triangle is √3/4cm^2.
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1. Vertical angles are complementary
2. Vertical angles are adjacent
3. The complement of an acute angle is an acute angle
4. The supplement of an obtuse angle is an obtuse angle
Answer the following questions with Always, sometimes, or never
Answers
Answer:
1. Sometimes, 2. Never, 3. Always, 4. NeverStep-by-step explanation:
1. Vertical angles are complementary
Sometimes (if measure45°)2. Vertical angles are adjacent
Never3. The complement of an acute angle is an acute angle
Always. Both of them < 90°4. The supplement of an obtuse angle is an obtuse angle
Never. Obtuse angle > 90°, supplement is (180° - obtuse), which is <90° so is acutex^8+1 divided by 2x+1
Answers
Answer:
x8+12
x+1
Step-by-step explanation:
This isn't something specific I need to know for school, I'm just curious. I know the most commonly used variables are x, y, and z. But what if you have more then three variables, what are the next letters you are supposed to use?
Answers
Answer:
Any letter you want
Step-by-step explanation:
The letters used for variables don't matter. What matters is what the variables represent: their numerical value. Variables are just to help identify what needs solving. Other common variables are a, b, and c which are found frequently in trigonometry. To answer your question, there are no "next letters." You can use any letter you'd like as a variable because it holds the same numerical value. Basically, the whole alphabet is at your disposal.
Write the equation for each transformation of f(x) = |x| described below
1. Translated right by 7 units, shrunk vertically by a factor of 0.5 and translated up by 6 units.
2. Stretched horizontally by a factor of 5, reflected over the x-axis, and translated down by 10 units
3. Translated right by 9 units and translated down by 7 units
Answers
What is 8 hundredths?
Answers
Answer:
Step-by-step explanation:
Well 8 hundredths is also know as 0.08 if we put in in the decimal form.
I hope this helps :D
Answer:
to divide something into one hundred equal parts, 8 hundreths is 8 of those parts that you just divided up
Step-by-step explanation:
Identify the matrix transformation of ΔRST, which has coordinates R(−1, 1),S(2, −2), and T(−3, 3), for 90° rotation, clockwise. Then identify the correct vertices of the image.
Answers
Answer:
( 0 1 ) ( -1 2 -3) (1 -2 3)
= R' (1, 1), S' (-2, -2), T' (3, 3)
( -1 0 ) ( 1 -2 3) (1 -2 3)
Step-by-step explanation:
Write the x - coordinates of RST in row 1 and the y - coordinates in row 2 of the matrix.
(-1 2 -3)
(1 -2 3)
R S T
For a 90° rotation, clockwise, multiply the matrix by (0 1)
(-1 0)
Then you get your answer.
please help asap !!
Answers
Answer: Solve for x by simplifying both sides of the equation, then isolating the variable.
Explanation: X= 16
Find the equation that represnts the graph.
Answers
3/3 = 1
(0, 3) so y intercept is 3
Final equation: y = x + 3
Answer:y=x+3
Step-by-step explanation:
Emily simplified this expression.
Expression: (5−2)2+23×4
Step 1: (3)2+23×4
Step 2: 9+23×4
Step 3: 9+9×4
Step 4: 9+36
Step 5: 45
Emily made a mistake. Which step shows her first mistake?
Answers
what is the product of 7/11 and 3/7
Answers
Answer:
3/11
Step-by-step explanation:
when you multiply 2 fractions you multiply the numerators and the denominators
(7/11 )*(3/7) = 7*3/11*7 now 7 can simplify so we have 3/11
Answer.
together is 0.27272727272
Step-by-step explanation:
hope it helps if not let me know comment
Please help im so confused rn :((
Answers
Answer:
1.8
Step-by-step explanation:
explanation:
15/4 x 1/2 x 1/13 = 15/104
you just split up the fractions and multiply because you switch the signs.
A company rents out 11 food booths and 22 game booths at the county fair. The fee for a food booth is $125 plus $6 per day. The fee for a game booth is $80 plus $10 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answers
Answer:
$3135 + $286d
Step-by-step explanation:
Given that:
Food booth = 11
Game booth = 22
Let number of days = d
Food booth rent = ($125 + 6d) * 11
Game booth rent = ($80 + 10d) * 22
Food booth = $1375 + $66d
Game booth = $1760 + $220d
Amount company is paid :
Food booth rent + game booth rent
($1375 + $66d) + ($1760 + $220d)
$(1375 + 1760) + $(66d + 220d)
$3135 + $286d
Determine if the following figures are similar. Explain why or why not.
Answers
Answer:
They are not the same
Step-by-step explanation:
4m x 8m = 32m
10m x 20m = 200m
So...they are not similar
Only similarity is both of them are rectangles
Answer:
No, the ratios of the corresponding sides are not equal.
Step-by-step explanation:
Two or more figures are similar if they have exactly the same shape. Similar figures may be of different sizes. Similar figures have corresponding sides and corresponding angles. Corresponding sides have lengths that are proportional.
I have three more to go please help
Answers
Answer:
x=9
Step-by-step explanation:
Since vertical angles are congruent to each other, we can put the two expressions equal to each other in this equation: 4x=x+27
With simple algebra, you get this:
4x=x+27
3x=27
x=9
Hope this helps!! :)