The value of the variable x will be {0, pi/2, pi}. Then the correct option is B.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The trigonometric equation is given below.
tan (3π/4 - 2x) = - 1
We know that the value of tan 3π / 3 is negative one. Then the equation will be
tan (3π/4 - 2x) = tan 3π/4
Apply inverse of tangent on both sides, then the equation will be
(3π/4 - 2x) = 3π/4, -π / 4
- 2x = 0, -π
2x = 0, π
x = 0, π/2
Then the value of the variable x will be {0, pi/2, pi}.
Then the correct option is B.
The question was incomplete, but the complete question is given below.
Which values represent solutions to the equation? tan(3pi/4 - 2x) = -1, where x ∈ [0,pi]
A) {0, pi}
B) {0, pi/2, pi}
C) {0, pi, 2pi}
D) {0, pi/2, pi ⋅ 3pi/2}
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You are playing a board game with your little sister. Moves are determined by rolling 2 six-sided dice. The red die tells you the direction of your move, and has 4 faces
that say "forward and 2 faces that say backward." The green die tells you how far to move, and has 1. 1. 2.2.3, and 4 on the faces. On your turn, what is the
probability that you move backward 2 spaces
Answer: The probability is 1/9.
Step-by-step explanation:
First, let's define the possible outcomes of each dice:
Red: Forward (4 times), Backward (2 times)
Green : {1, 1, 2, 2, 3, 4}
We want to find the probability of moving backward 2 spaces.
Then we need to find the probability of rolling a "backward" in the red dice, and a 2 in the green dice.
First, the probability of rolling a backward in the red dice is equal to the quotient between the number of outcomes that are "backward", and the total number of outcomes in the dice (there are 2 backwards and 6 outcomes in total), this is:
p1 = 2/6 = 1/3.
And the probability of rolling a 2 in the green dice is equal to the quotient between the number of outcomes with a 2, and the total number of outcomes. (The 2 appears two times, and there are 6 possible outcomes):
p2 = 2/6 = 1/3.
Now, the probability of both events happening at the same time is equal to the product of the individual probabilities, then the probability of moving backwards 2 spaces is:
P = p1*p2 = (1/3)*(1/3) = 1/9.
2. Which of the values of x below will result in lines m and n being parallel?
(1) 41
(3) 20
6x + 14
m
(2) 5
(4) 27
1340
n
REASONING
С.
3
In the diagram shown below, ABC and AABFABCD.
Answer:
x= 16/3 now change in mixed fractions
no 2
For the value of x =20 will result in lines m and n being parallel
What is Straight line?a line is an infinitely long object with no width, depth, or curvature. Thus, lines are one-dimensional objects, though they may exist in two, three, or higher dimension spaces.
In the given figure, we need to find the value of x which makes the lines m and n are parallel.
parallel lines are coplanar straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet.
In the given figure we have two angles 6x+14 and 134.
We need to equate these to find the value of x.
6x+14=134
Subtract 14 from both sides
6x=134-14
6x=120
Divide both sides by 6
x=20
Hence for the value of x =20 will result in lines m and n being parallel
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RT and UW are parallel lines. Which angles are vertical angles? help asap
Answer:
139 degrees
Step-by-step explanation:
In the figure tw =3x+5 wx =10 and tx =5x-9
Answer:
Value of x = 12 unit
Step-by-step explanation:
Given:
tw = 3x+5
wx = 10
tx = 5x-9
Find:
Value of x
Computation:
tw + wx = tx
3x + 5 + 10 = 5x - 9
3x + 15 = 5x - 9
2x = 24
x = 12
Value of x = 12 unit
Answer to this? Only comment if you know!! Thank you :D
Answer:
a = 35°
Step-by-step explanation:
The angles in a triangle always add up to 180°
∴ 33 + 112 + a = 180
∴a=35°
Find the area of the triangle.
Answer:
1325 yd²Step-by-step explanation:
Area formula
A = 1/2bhGiven
b = 53 yd, h = 50 ydThen the area is:
A = 1/2(53)(50) = 1325 yd²What is the slope of a line that passes through these points? (5, 3) and (4, 1).
9514 1404 393
Answer:
2
Step-by-step explanation:
The slope can be found from the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (1 -3)/(4 -5) = -2/-1
m = 2
The slope of the line is 2.
Answer:
2
Step-by-step explanation:
ΔY = 1 – 3 = -2
ΔX = 4 – 5 = -1
two negatives make a positive
Anna needs to save $85 for a yoga class. She has already saved $42. How much more does Anna need to save?
Answer:
She needs to save $43more dollars for the yoga class.
Step-by-step explanation:
You subtract 42 from 85 to get the difference.
Marissa is purchasing holiday hams and turkeys for her employees. If she buys 15 hams and 10 turkeys, her total cost will be $719.75. If she buys 17 hams and 8 turkeys, it will cost her $705.75. How much is each ham?
How much is each turkey?
Answer:
turkey=$32.786
ham=$26.086
Answer:
I believe that each turkey would be 47.94$ for each piece And the ham would be 41.51$ for each piece.
Step-by-step explanation:
Hope this helps!
Explain why 20 is not a square number.
A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 20 is about 4.472. Thus, the square root of 20 is not an integer, and therefore 20 is not a square number.
The reason why 20 is not a square number is because it's square root is not an integer.
Why is 20 not a square number?It follows from the task content that we explain why 20 is not a square number.
First, a square number is one whose square root is an integer. Hence, such a number is a perfect square.
On this note, 20 is not a square number because it's square root is not an integer.
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an equation of the line that passes through (0, 5) and (−1.5, 1).
Answer:
The answer is y=8/3x+5
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=1-5/(-1.5)-0
m=-4/-1.5
m=8/3
y-y=m(x-x1)
y-5=8/3(x-0)
y-5=8/3x-0
+5 +5
y=8/3x+5
find the intercepts or the line that corresponds to the table of values.
I have a photo to go with it :)
Your gas tank can hold no more than 14.5 gallons of gasoline. On a trip to the grocery store, you use 1.5 gallons of gasoline. Write and solve an inequality that represents the amount of gasoline left in your gas tank.
When x=1, find the value of y
1) -3
2) -1
3)1
4)-4
Answer:
y = -3
Step-by-step explanation:
The equation of the line is y = -x -2
We plug in the given x value into the equation to find y.
y = -(1) - 2
Simplify.
y = -3
F(x)=-4x^2+10x-8
What is the value of the discriminating of f
Answer:
f(x)=-4x^2+10x-8
Step-by-step explanation:
well x normally equals 1 so replace all X's with 1 and solve
4*1=4 to the power of 2 is 16
10*1=10 subtract 8 equals 2 so
16-2= 14
F(x) is 14
the Y would be 14
Answer:
Here are Both Anwsers
Step-by-step explanation:
Which of the following shows 7.538 correctly rounded to the ones place?
8.038
8
7
7.5
help me please 20 points
Answer:
- 8n + 9
Step-by-step explanation:
A - B
= - 3n + 2 - (5n - 7) ← distribute by - 1
= - 3n + 2 - 5n + 7 ← collect like terms
= - 8n + 9 → or 9 - 8n
please complete it (picture)
Answer:
1a. 250
1b. 140
2a. 2530
2b. 250
Step-by-step explanation:
A bag contains 6 red apples and 6 yellow apples. A sample of 3 apples is drawn. Find the probability that the sample contains more red than yellow apples
Answer: 21/44
Step-by-step explanation:
Given that:
Bag contains :
6 red apples
6 yellow apples
Number of samples drawn = 3
Probability that sample contains more red than yellow :
Then from the three samples, red = 2 and yellow = 1 or red for all 3
Prob of RRR = (6/12)(5/11)(4/10)= 120 / 1320
Prob RRY = (6/12)(5/11)(6/10)= 150/1320
Prob RYR is (6/12)(6/11)(5/10)= 180/1320
Prob YRR is (6/12)(6/11)(5/10)=180/1320
120/1320 + 150/1320 + 180/1320 +. 180/1320 = 630/1320 =126/264 = 42/88 = 21/44
HELP PLS LOL !!!!!!!!!!!!!!
Answer:
try 137
Step-by-step explanation:
it may be congruent since they're parallel
There are 76 people signed up for a speedboat tour. Each speedboat can transfer 9 people. How many speedboats will be needed for the people who signed up?
Given:
Total number of people who signed up = 76
Each boat can transfer = 9 peoples
To find:
The number of boats required.
Solution:
We know that,
[tex]\text{Required number of boats}=\dfrac{\text{Total number of peoples}}{\text{Number of peoples transferred by each boat}}[/tex]
On substituting the values, we get
[tex]\text{Required number of boats}=\dfrac{76}{9}[/tex]
[tex]\text{Required number of boats}=8.44...[/tex]
Number of required boats must be a whole number. So, approximate the data to the next whole number.
[tex]\text{Required number of boats}=9[/tex]
Therefore, the required number of boats is 9.
Sally was walking to Ocean Front Housing Complex, In miles, how far is her distance?
mi,
Sally plans to stop half way and pick up something to eat at the deli. What coordinate is the deli?
Answer:
Sally is 10 miles
The coordinate ofthe deli is (1, -1)
Step-by-step explanation:
✍️Coordinate of Sally = (-3, 2)
Coordinate of Ocean Front = (5, -4)
The distance of Sally to Ocean Front Housing Complex = the distance between point (-3, 2) and (5, -4).
Use the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], to calculate the distance between (-3, 2) and (5, -4):
[tex] d = \sqrt{(5 -(-3))^2 + (-4 - 2)^2} [/tex]
[tex] d = \sqrt{(8)^2 + (-6)^2} [/tex]
[tex] d = \sqrt{64 + 36} [/tex]
[tex] d = \sqrt{100} = 10 [/tex]
✅The distance of Sally is 10 miles
✍️the coordinate of Deli would be half the distance between Sally and Ocean Front.
Therefore, use the midpoint formula to calculate the coordinate of the midpoint between Sally (-3, 2) and Ocean Front (5, -4).
Midpoint of (-3, 2) and (5, -4).
[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
Plug in the values
[tex] M(\frac{-3 + 5}{2}, \frac{2 +(-4)}{2}) [/tex]
[tex] M(\frac{2}{2}, \frac{-2}{2}) [/tex]
[tex] M(1, -1) [/tex]
✅The coordinate ofthe deli is (1, -1)
The principal of a large high school wants to learn about student opinion regarding remote learning versus in person learning. Each of the following methods introduces a possible source of bias. Name the type of bias . a. The principle selects a random sample of students from those who signed up for remote learning. b. The student emails a random sample of 100 students, but only 28 students respond . c. The principal surveys the first 50 students that submit their learning preference for the upcoming school year.
Answer:
Step-by-step explanation:
the students that are in the survey are in it because they like the subject, rather than picking students from both types of groups, the ones that aren't doing remote learning and the ones that are doing remote learning.
Bias occurs when a particular portion of the population is given more weight or have a higher priority during sample selection which in turn affects the outcome and result of our result as it won't be representative of the population. The type of bias introduced in the scenarios above are :
Selection bias Non - response bias Undercoverage biasSelection bias occurs when only a particular faction of the population is used rather than the entire population during sample selection. Rather than making selection from the entire students, only those who signed for remote learning were sampled.
Non - response bias occurs when a large portion of the selected sample fail to participate in a survey. With only 28% response and 72% non - responsive. Non - response bias has creeped in.
Undercoverage bias is usually associated with convenience sampling as the selection made might fail to randomly cover the entire population.
Hence, selection, non - response and Undercoverage bias are present in the selection made by the principal.
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5 more than twice a number n
Answer:
2n + 5
Step-by-step explanation:
Twice a number (n): 2nFive more than twice a number: 2n + 5I hope this helps!
Approximately how much principal would need to be placed into an account earning 1.58% interest compounded monthly so that it has an accumulated value of $90,597 at the end of 25 years?
Answer:
The initial investment is $821.58
Step-by-step explanation:
Giving the following information:
Future Value (FV)= $90,597
Number of periods (n)= 25*12= 300
Interest rate (i)= 1.58% = 0.0158
To calculate the initial investment, we need to use the following present value (PV) formula:
PV= FV/(1+i)^n
PV= 90,597 / (1.0158^300)
PV= $821.58
The initial investment is $821.58
please help, this is honors geometry, I need this done as soon as possible
Answer:
See Explanation
Step-by-step explanation:
Since both the arcs centered at A and B are drawn as radius AB.
Therefore, AB = BC = AC
So, triangle ABC will be an equilateral triangle.
Since, AB = 5 CM
THEREFORE,
AC = 5 CM
BC = 5CM
Measure of each angle of equilateral triangle is 60°
Therefore,
Angle A = 60°
Angle B = 60°
Angle C = 60°
Calculate the quotient
2/5 divided by 3 4/7
Pls help lol this is due tomorrow
Answer:
8/105
Step-by-step explanation:
Answer:
the answer is 14/125
Step-by-step explanation: do keep flip switch
2/5 stays the same change the mixed number into a fraction so the new fraction is 25/7 then flip 25/7 to 7/25 then multiply 2/5 by 7/25 and that give s u 14/125
hopefully this helps out
Given g ( x ) = 2 x + 3 , solve for x when g(x)=3.
Answer:
x = 0
Step by step explanation:
g ( x ) = 2x + 3
If x = 0,
g ( 0 ) = 2 (0) + 3
or, g ( 0 ) = 3
Hope that helped :)
Insert a rational number between 1/2 and 1/3 by mean method?
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
To find a rational number by the mean method.
Add the 2 fractions and divide the result by 2
[tex]\frac{1}{2}[/tex] + [tex]\frac{1}{3}[/tex]
To add the fractions we require them to have a common denominator.
The LCM of 2 and 3 is 6 ← required common denominator
Multiply numerator/denominator of first fraction by 3
Multiply numerator/denominator of second fraction by 2
= [tex]\frac{1(3)}{2(3)}[/tex] + [tex]\frac{1(2)}{3(2)}[/tex]
= [tex]\frac{3}{6}[/tex] + [tex]\frac{2}{6}[/tex] ( add numerators, leaving denominator )
= [tex]\frac{5}{6}[/tex]
Now divide by 2
[tex]\frac{5}{6}[/tex] ÷ 2 leave first, change division to multiplication, turn second upside down )
= [tex]\frac{5}{6}[/tex] × [tex]\frac{1}{2}[/tex]
= [tex]\frac{5}{12}[/tex]
This is the fraction midway between the 2 given fractions
A line passes through the points (P, a) and (P, –a) where P and A are real numbers and P does not equal 0. Describe each of the following. Explain your reasoning.
1. slope of the line
2. equation of the line
3. y-intercept
4. slope of a line perpendicular to the given line
9514 1404 393
Answer:
undefinedx = Pdoes not exist0Step-by-step explanation:
2. The x-value of the given points is the same, so the points both lie on the vertical line ...
x = P
__
1. The slope of a vertical line is "undefined".
__
3. Given that P ≠ 0, the vertical line is parallel to the y-axis, so there is no y-intercept.
__
4. A line perpendicular to a vertical line will be horizontal. A horizontal line has a slope equal to zero.