There are multiple possible solutions for x, two examples are x = 0° and x = 360°.
How to find the value of x?We need to solve the equation:
sin(2x) = sin(x)
Then we need to find a value x such that the sine of 2x is equal to the sine of x.
Now, because of the periodicity of the sine equation, there are a lot of possible values of x.
One example, trivial, is x = 0, this is because 2*0 = 0, then we would have:
sin(2*0) = sin(0)
sin(0) = sin(0).
Another case is if we take x = 360° (remember that 360° is the period of the sine function), then we can have:
sin(2*360°) = sin(360°)
sin(720°) = sin(360°) = 0
Then x = 360° is another solution.
If you want to learn more about the sine function, you can read:
https://brainly.com/question/9565966
solve the pattern to y=-3(x+2)²+4.
Answer:
-8x
Step-by-step explanation:
[tex]-3(x+2)^{2}+4\\-3(2x)^{2}+4\\-12+4\\\ y=-8x[/tex]
Is the length of the hypotenuse of a right triangle with legs that measure 5 cm and 6 cm a rational number or an irrational number? Justify your answer.
Answer:
irrational
Step-by-step explanation:
Use the Pythagorean theorem.
5² + 6² = c²
25 + 36 = c²
c² = 61
7² = 49
6² = 64
61 is between 7² and 8², so it is not rational.
Factor 5x² + 8x – 4 using substitution.
Answer:
(
5
x
−
2
)
(
x
+
2
)
is the factorised form of the expression.
Explanation:
5
x
2
+
8
x
−
4
We can Split the Middle Term of this expression to factorise it.
In this technique, if we have to factorise an expression like
a
x
2
+
b
x
+
c
, we need to think of 2 numbers such that:
N
1
⋅
N
2
=
a
⋅
c
=
5
⋅
(
−
4
)
=
−
20
AND
N
1
+
N
2
=
b
=
8
After trying out a few numbers we get
N
1
=
10
and
N
2
=
−
2
10
⋅
(
−
2
)
=
−
20
, and
10
+
(
−
2
)
=
8
5
x
2
+
8
x
−
4
=
5
x
2
+
10
x
−
2
x
−
4
=
5
x
(
x
+
2
)
−
2
(
x
+
2
)
(
x
+
2
)
is a common factor to each of the terms
=
(
5
x
−
2
)
(
x
+
2
)
(
5
x
−
2
)
(
x
+
2
)
is the factorised form of the expression.
Please answer the one you would like. I’m very bad at math :(
Answer:
The answer for question one is 162 cm
10) 192
11) 58
12 120
Which I’m guessing they want the angle that has those ??
Answer:
10: Reflex
11. Acute
12. Obtuse
Step-by-step explanation:
Reflex: Greater than 180 but less than 360
Acute: Less than 90
Obtuse: Greater than 90 and less than 180
Answer:
I believe they want what it looks like, so i have gone ahead and drew those below: its not the best but i tried.
Step-by-step explanation:
#36
You look up at a drone at an angle of elevation of 23º. Your eyes are 5 feet above the ground, and the distance to
the drone is 210 feet. What is the altitude of the drone? Round your answer to the nnearest tenth.
Altitude: about ___
feet
Using the slope concept, it is found that the height of the drone is of about 94 feet.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem:
The vertical change is of h - 5, in which h is the altitude of the drone.The horizontal change is of 210 ft.The angle is of 23º.Hence:
[tex]\tan{23^\circ} = \frac{h - 5}{210}[/tex]
[tex]h - 5 = 89[/tex]
[tex]h = 94[/tex]
The height of the drone is of about 94 feet.
More can be learned about the slope concept at https://brainly.com/question/18090623
What information must you know about a triangle in order to use the Pythagorean Theorem to find the length of a missing side?
In order to use the Pythagorean Theorem, you must know the length or lengths of
Choose...
of the triangle and know that the measure of one of the angles is
Choose...
.
Answer: your obviously going to need to use the method a2+b2=c2
Try to calculate the radius if not given to you.
Step-by-step explanation:
In order to use the Pythagorean Theorem, you must know the lengths of at least 2 sides (any 2 sides, but it has to be 2.) of the triangle and know that the measure of one of the angles is 90 degrees.
Both circles have the same center. What is the area of the shaded region.
D=48 km
11km
Use 3.14 for pie
Answer: the answer 50.22
Step-by-step explanation:
16+(5 to the 2nd power -7)divided by 3
answer:
11.3(repeating) or [tex]\frac{34}{3}[/tex]
explanation:
attached
--
if this helped, please consider giving brainliest !
Please help me
True or false?
I accidentally answered it but
ignore it just please help
Answer:
Step-by-step explanation:
You are correct in saying false
well, the cheap answer is, linear expressions have one variable and some coefficient in front of it, like 3x or 2y + 3, or (1/4)x - 15 or such, however, a LINEar expression when drawn, yields a LINE, not a curve or such, and that only happens if the variable's exponent is 1, not more than 1, if the variable's exponent is higher, then is a curve of kinds,
so such expressions like -13xy, which has the product of two variables, or 7y³ - 2 or 4x⁵ + 9, are curvy lines.
PLEASE HELP! I WILL GIVE BRAINLIEST AND NO LINKS PLEASE!
Answer:
Your answer would be the first one, 7/8 and 0.92, because they are only ones greater than 5/7 the rest equal under 5/7
Answer:
The two solutions: 7/8 & 0.92
Step-by-step explanation:
[tex]\frac{5}{7} =0.714[/tex]
7/8 = 0.875, because 0.875 [tex]\geq 0.714[/tex]
0.92 because [tex]\geq[/tex] 0.714
Hope this helps
are my answers correct?
1. 17× = 170 = 10
2. x = 23 = 2
___
11
3. 3X = 21 = 7
4. X = 17 = 3.4
____
5
1. x = 10 is correct
2. not sure
3. x = 7 is correct
4. not sure
The Molina family's pancake recipe uses 2 teaspoons of baking powder for every 1 3 of a teaspoon of salt. How much baking powder would they need if they used 1 teaspoon of salt?
Answer: 7
Step-by-step explanation:
levi works 8 hours each workday . He works every day for 10 days. If he made 620 during those 10 days ,how much does levi make per hour?
Answer:
7.75$
Step-by-step explanation:
620/10 = 62
This gives you the amount of hours (8) in the day
62/8 = 7.75
This gives you how much Levi makes each hour :)
help me!
[tex]\frac{x}{3}+10=\frac{3x-8}{2}[/tex]
Answer:
[tex] \frac{x}{3} + 10 = \frac{3x - 8}{2} \\ \\ \frac{3x - 8}{2} - \frac{x}{3} = 10 \\ \\ taking \: lcm \\ \\ \frac{9x - 24 - 2x}{6} = 10 \\ \\ 9x - 24 - 2x = 60 \\ \\ 7x = 60 + 24 \\ \\ 7x = 84 \\ \\ x = \cancel\frac{84}{7} \\ \\\fbox{ x = 12}[/tex]
hope helpful ~
Answer:
[tex]x = 12[/tex]
Step-by-step explanation:
[tex] \frac{x + 30}{3} = \frac{3x - 8}{2} [/tex]
[tex]2x + 60 = 9x - 24[/tex]
[tex]60 + 24 = 9x - 2x[/tex]
[tex]84 = 7x[/tex]
[tex]x = 12[/tex]
I hope it will be helpful
Solve for x (literal equations):
c=b-bx show work
Answer:
x = [tex]\frac{b-c}{b}[/tex]
Step-by-step explanation:
c = b - bx ( add bx to both sides )
bx + c = b ( subtract c from both sides )
bx = b - c ( divide both sides by b )
x = [tex]\frac{b-c}{b}[/tex]
What is the measure of \angle R∠Rangle, R?
Answer:
106⁰
Step-by-step explanation:
As in cyclic quadrilateral sum of opposite angles is equal to 180⁰
A mortgage has an initial balance of $150,000 and is charged 5% yearly interest applied monthly. If a person makes a payment of $1000 each month, which of the following is closest to the mortgage balance after 3 months of payments?
(1) $145,165
(2)$147,520
(3)$148,160
(4)$148,870
How many ways can 8 books be arranged on a shelf? Show all of your work for full credit.
There are 40,320 ways, in which 8 books can be arranged on a shelf.
Solution:Here, we are to find the number of ways in which 8 books can be arranged on a shelf. The total number of books is 8 and the way of arranging books is also 8.
If one book is placed in the first place, then 7 books will be placed in front of it. If 2 books are placed in the 2nd place, then only 6 books can be placed after that book. This sequence will continue till 1 .Permutations :
A permutation is an arrangement of objects in a definite order.➲ P ( n, r )= n ! / ( n - r ) !
n = total number of objectsr = number of objects selectedThe number of ways to arrange 8 books on a shelf will be :
➝ P ( n, r ) = n ! / ( n - r ) !
➝ P ( n, r ) = 8 ! / ( 8 - 8 ) !
➝ P ( n, r ) = 8 ! / 0 !
➝ P ( n, r ) = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 / 1
➝ P ( n, r ) = 40, 320
ㅤㅤㅤㅤㅤㅤ~ Hence, there are 40,320 ways in which 8 books can be arranged on a shelf !
If the 3 books can't be together (but any 2 of the 3 can be) then it's 36,000 ways. If any one of the 3 books can't touch either of the other 2, it's 15,840 ways.
Explanation:I'm not sure if the question is saying that all three books can't be together in a group (and so biology and history can be together, but biology, history and programming can't), or if the books in that group can't sit next to other books in the group (and so biology and history can't be together). Let's do it both ways - case 1 will be all three together and case 2 will be any 2 together.
Before we work this, let's first see the number of ways we can have all 8 books arranged. Order matters and so we can approach this using a permutation equation. Moreover, since we're using all the books, we'll end up with the total number being:
8 ! = 40 , 320 .
Can you guys solve this out for me?
Answer:
9/32 units
and
3/4 units
Step-by-step explanation:
pls tell me if im wrong
Help PLEASE find AD and BC
Step-by-step explanation:
so AD=DC and DC=12 so AD=12
the lines AB=BC so 3x+1=2x+6 simplify and get x=5
plug in and get BC=16
Below are the supply and demand equations for umbrellas in a certain market. in these equations, p represents price, d represents demand, and s represents supply. d = startfraction negative 4 over 3 endfraction p 22 s = 3 p minus 36 what is p at the point of equilibrium, to the nearest tenth? a. 19.3 b. 16.5 c. 13.4 d. 12.0
The value of price (p) at a point of equilibrium is 13.4. Then the correct option is C.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The equation of the demand (D) and supply (S) is given below.
[tex]\rm D = -\dfrac{4}{3}p +22\\\\S \ = 3p -36[/tex]
Where p is price.
At equilibrium, we have
D = S
Then
[tex]\begin{aligned} \dfrac{4}{3}p +22 &= 3p -36\\\\3p + \dfrac{4}{3} p &= 36 + 22\\\\\dfrac{13}{3}p &= 58\\\\p &= 13.38 \approx 13.4 \end{aligned}[/tex]
More about the linear system link is given below.
https://brainly.com/question/20379472
please help Brianlist Provide the missing reasons for the proof.
Given:
Prove:
Answer:
Answer:
1) given
2) reflexive property
3) corresponding angles theorem
4) AA similarity
5) Corresponding sides of similar triangles are proportional.
Answer the questions below and show all of your
1. A toy is shaped as a triangular prism. The toy has a
base of 108 square inches. What is the height of the toy it
the volume is 729 cubic inches?
Answer:
6.75
Step-by-step explanation:
729=1/2*216h
729=108h
h=6.75
I think idrk
Amy glues 6 stickers on the sides of a cube: She shows the cube to her friend (see picture). Which sticker is on the face opposite to the mouse?
Answer:
When I grow up I want to be
The graph shows a proportional relationship between pounds of aluminum and money earned from recycling.
The table below shows the amount of money that is earned from recycling copper.
Chose a Answer
You earn the same per pound for aluminum and copper
You earn more per pound recycling aluminum than copper.
You earn more per pound recycling copper than aluminum.
Not enough information to draw conclusions.
Answer: You earn more per pound recycling copper than aluminum.
Step-by-step explanation:
Find the surface area of this figure.
Answer:
66550000000 in.²
Step-by-step explanation:
22³in x 10⁴in x 5⁴in = 66550000000 in
4 What is the total perimeter?
(2 pts)
4ft,
12 ft.
Show ur work 30 points
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
let's solve ~
Perimeter of the composite figure :
Perimeter of rectangle + circumference of semi circle - common side.
Perimeter of rectangle :
[tex]\qquad \tt \dashrightarrow \:2(4 + 12)[/tex]
[tex]\qquad \tt \dashrightarrow \:2(16)[/tex]
[tex]\qquad \tt \dashrightarrow \:32 \: \: ft {}^{} [/tex]
Circumference of Semicircle :
[tex]\qquad \tt \dashrightarrow \:\pi r[/tex]
[tex]\qquad \tt \dashrightarrow \:3.14 \times 2[/tex]
[tex]\qquad \tt \dashrightarrow \:6.28 \: ft[/tex]
Length of common side = 4 feet
So, perimeter of composite figure :
[tex]\qquad \tt \dashrightarrow \:32 + 6.28 - 4[/tex]
[tex]\qquad \tt \dashrightarrow \:34.28 \: ft[/tex]
Emma has a round trampoline with a diameter of 2 yards. What is the trampoline's radius?
yards
Answer:
You know the radius is 1/2 of the diameter.
You can simply do 2/2 which is ONE.
The radius of the trampoline with a diameter of 2 yards will be 1 yard.
What is the radius?The radius of the circle is the distance from the centre of the circle to the outer curve of the circle. The diameter of the circle is the length of the two points between the curve of the circle passing through the centre of the circle.
The radius of the circle is half of the diameter of the circle. The trampoline's radius will be calculated as,
Radius = Diameter / 2
Radius = ( 2 ) / 2
Radius = 1 yard
Therefore, the radius of the circle will be 1 yard.
To know more about radius follow
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Please, Help.
the answer isn't 30°
The missing angle of the right triangle ABC has a measure of 30°. (Correct answer: A)
How to find a missing angle by triangle properties
Triangles are geometrical figures formed by three sides and whose sum of internal angles equals 180°. There are two kind of triangles existing in this question: (i) Right triangles, (ii) Isosceles triangles.
Right triangles are triangles which one of its angles equals 90° and isosceles triangles are triangles which two of its sides have equal measures.
According to the statement, we know that triangle BQR is an isosceles triangle, whereas triangles ABC, ANB and NBC are right triangles. Based on the figure attached below, we have the following system of linear equations based on right triangles ABC and NBC:
2 · x + 90 + θ = 180 (1)
(90 - x) + 90 + θ = 180 (2)
By equalizing (1) and (2) we solve the system for x:
2 · x = 90 - x
3 · x = 90
x = 30
And by (1) we solve the system for θ:
θ = 180 - 2 · x - 90
θ = 30
The missing angle of the right triangle ABC has a measure of 30°. (Correct answer: A) [tex]\blacksquare[/tex]
To learn more on right triangles, we kindly invite to check this verified question: https://brainly.com/question/6322314
