Answer:
A
Step-by-step explanation:
[tex] \sin(2 \alpha ) = 2 \sin( \alpha ) \cos( \alpha ) [/tex]
[tex] \sin( \alpha ) \cos( \alpha) = \frac{1}{2} \sin( 2\alpha ) [/tex]
1)a)write any three rational numbers .
Answer : 3/4,-2/6,1/2 is are called rational
number.
b)Explain rational numbers in your own words .
Answer: A number which can be written in the form p/q , where p and q are integers and q = 0 is called a rational number
Step-by-step explanation:
1)1/2,1/5 and 0
2)In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. For example, −3/7 is a rational number, as is every integer
Help I dont understand this
Identify any transformations that are used in each image below.
Some images may have multiple answers so make sure to include them all.
-Reflections - how many lines of symmetry and what specific type: vertical (y-axis), horizontal (x-axis), diagonal (y=x or y=-x)
-Rotations - of which order or how many degrees/angle of rotation
a. Reflectional symmetry only. The mirror line is vertical along the center of the sunglasses. The left half mirrors over this line to get the right half, and vice versa. There isn't any rotational symmetry because we can't rotate the glasses (some angle between 0 and 360 exclusive of both endpoints) to have the image be the same as the preimage.
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b. Rotational symmetry only. The puzzle can be rotated 90 degrees and the before and after image will be the exact same. There isn't any reflectional symmetry here.
----------------------
c. Reflectional symmetry and rotational symmetry. Effectively a combination of parts a) and b). We have a horizontal line of symmetry to go with a vertical one. The angle of rotation is 180 degrees.
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d. Reflectional symmetry and rotational symmetry. Similar to part c). This time the angle of rotation is 360/3 = 120 degrees. There are 3 lines of symmetry and they all pass through a vertex of the triangle, and the symmetry lines are perpendicular to the opposite side.
----------------------
e. Reflectional symmetry and rotational symmetry. We can rotate 180 degrees and not change the image. There are two lines of symmetry which pass through the center, one line is horizontal and the other vertical.
-----------------------
f. Rotational symmetry only. We don't have reflectional symmetry due to the smaller petals not matching up when reflections happen. But we can rotate the figure 120 degrees the same way we can with figure d.
The 3 question please with explained
Answer:
Step-by-step explanation:
Rectangle:
length = l = 12 cm
Width = w = 0.8 cm
Use Pythagorean theorem to find the diagonal
Diagonal² = l² + w²
= 12² + 0.8²
= 144 + 0.64
= 144.64
Diagonal = √144.64 = 12.03 cm
Diagonal of square = diagonal of rectangle
= 12.03 cm
To find the side of square again use Pythagorean theorem,
side² + side² = 12.03²
2 sides² = 144.64
side² = 144.64/2
side² = 72.32
side = √72.32
Side = 8.50 cm
If i have 30 Apples I Give 12 to My Friend And She Gives 7 to Her Grandma How Much Would I Have?
The combined weight of three basset hounds is 185 pounds. The two smaller dogs weigh the same. The difference between the larger weight and the smaller weight is 20 pounds. How many pounds does the largest dog weigh?
Answer:
75 pounds
Step-by-step explanation:
(x) + (x) + (x+20) = 185
3x + 20 = 185
3x = 165
x = 55
Large dog = 55 + 20 = 75
solve show all steps what is 7x-28≥-7
Answer:
x≥3
Step-by-step explanation:
7x-28≥-7
Add 28 to each side
7x-28+28≥-7+28
7x≥21
Divide by 7
7x/7≥21/7
x≥3
Answer:
7x-28≥-7
7x≥21
x≥3
Let A represent the average value of the function f(x) on the interval [0,6]. Is there a value of c for which the average value of f(x) on the interval [0,c] is greater than A?
Answer:
The average value of the Function f(x) by squeeze theorem states that no extreme or greater value will exist within the designated area for f(x)
Two buildings are 12m apart on the same horizontal level. From the top of the taller building, the angle of depression of the bottom of the shorter building is 48degrees and from the bottom, the angle of of elevation of the top of the shorter building is 36 degrees. Calculate the difference in the heights of the buildings
Answer:
2.08 meters
Step-by-step explanation:
From the diagram attached :
We can calculate the height of the shorter building using trigonometry :
s = Height of shorter building
t = height of taller building
Tanθ = opposite / Adjacent
θ = 36°
Adjacent = 12, opposite = s
Tan36° = s / 12
0.7265425 × 12 = s
s = 8.72 meters
s = height of shorter building 8.72 meters ( 2 decimal places)
Height of taller building :
Tanθ = opposite / Adjacent
θ = 48°
Adjacent = t ; opposite = 12
Tan48° = 12 / t
1.1106125 = 12 / t
1.1106125 × t = 12
t = 12 / 1.1106125
t = 10.80 meters ( 2 decimal places)
Height of Taller building = 10.80 meters
Difference in height :
(10.80m - 8.72m) = 2.08 meters
please help............
Answer:
2x+14
Step-by-step explanation:
(3/4)x-7.3+(5/4)x+21.3
(3/4+5/4)x+21.3-7.3
2x+14
F1 = ____
(5√2)/2
10
5
5√2
Answer:
[tex]F_{1}[/tex] = 5
Step-by-step explanation:
Given [tex]F_{1}[/tex] is perpendicular to [tex]F_{2}[/tex] then Δ ABC is right
Given [tex]F_{2}[/tex] = [tex]F_{1}[/tex]
Then using Pythagoras' identity in the right triangle
[tex]F_{1}[/tex] ² + [tex]F_{2}[/tex] ² = (5[tex]\sqrt{2}[/tex] )² , that is
2[tex]F_{1}[/tex] ² = 50 ( divide both sides by 2 )
[tex]F_{1}[/tex] ² = 25 ( take the square root of both sides )
[tex]F_{1}[/tex] = 5
In which scenarios are surveys appropriate? or when is it appropriate to use experiments?
Answer:
1. Surveys are used to obtain specific information from a group of people. It is administered by politicians, professionals, sociologists, and other groups to obtain data from their subjects of interest.
2. Experiments are used to establish cause-and-effect relationships. Scientists use them for highly-controlled tests to give/withdraw credence to some hypotheses.
Step-by-step explanation:
Surveys, when applied to human subjects, are used to obtain data from a selected sample of subjects. Surveys, which can be applied through mails, telephones, the internet, in-person, and through other means are aimed at getting the opinions, thoughts, and beliefs of the participants. It is administered by politicians, professionals, sociologists, and other groups to obtain data from their subjects of interest. This data can be qualitative or quantitative.
Experiments are administered to provide support or refute a given hypothesis. They establish cause and effect relationships. Scientists use them for highly-controlled tests to give/deny credence to some hypotheses. Positive controls establish the hypothesis as true. They could be conducted in the laboratory, in the field, or through observations.
A 250.0 kg rock falls off a 40.0 m cliff. What is the kinetic energy of the rock just before it hits the ground (hint: conservation of energy)?
Answer:
kinetic energy body when it hits the ground is 98000 joule
1000joule = 1 kilojoule
, kinetic energy body when it hits the ground is 98 kilo-joule
Step-by-step explanation:
conservation of energy states that total energy of a system remains constant.
Potential energy of body = mgh
m = mass
g = gravitational pull = 9/8 m/s^2
h = height
kinetic energy = 1/2 mv^2
where v is the velocity of body
________________________________________
Total energy for this at any point is sum of potential energy and kinetic energy
total energy at height h
v= 0
PE = 250*9.8*40= 98,000
KE = 1/2 m0^2 = 0
total energy at when ball hits the ground
h=0
PE = 250*9.8*0 =
KE = 1/2 mv^2
_______________________________________\
Applying conservation of energy
Total energy at height h = total energy at ground
98000 = KE
Thus, kinetic energy body when it hits the ground is 98000 joule
1000joule = 1 kilojoule
, kinetic energy body when it hits the ground is 98 kilo-joule
How can I fin the remainder to 8,595 ÷ 24?
Answer:
358 and remainder of 3
Step-by-step explanation:
1. Divide it like any other problem
24 goes into 85, 3 times with 13 left overBring down the 9 and 24 goes into 139, 5 times with 19 left overThen bring down the 5 and 24 goes inside 195, 8 times with 3 left overSo your remainder would be 3
Hope this helps
there are 10 marbels in a bag, 4 are multi colored and 6 are solid. what is the probability of picking a solid marble and then another solid marble without replacing the first marble?
Answer:
(2/5) * (3/4) = 3/10 = 0.3
anyone know if its a b c or d?
Answer:The right answer is B
Step-by-step explanation:
If it's negative then it should be on the other side with one side down on the graph and one side on the left.(hope this helped you) :)
-k^2-(7k-5n)+9n
k= -1
n= -2
Answer:
-k² - (7k - 5n) + 9n
-(-1)² - [7(-1) - 5(-2)] + 9(-2)
-1 - [-7 - (-10)] - 18
-1 - 3 - 18
= -22
solve the following inequalitie and fin x
5/( + 2)(4 − )< 1
Answer: -1 < x < 3
Step-by-step explanation:
[tex]\dfrac{5}{(x+2)(4-x)}<1[/tex]
Step 1 The denominator cannot equal zero:
x + 2 ≠ 0 and 4 - x ≠ 0
x ≠ -2 4 ≠ x
Place these restrictive values on the number line with an OPEN dot:
<----------o-------------------o--------->
-2 4
Step 2 Find the zeros (subtract 1 from both sides and set equal to zero):
[tex]\dfrac{5}{(x+2)(4-x)}-1=0\\\\\\\dfrac{5}{(x+2)(4-x)}-\dfrac{(x+2)(4-x)}{(x+2)(4-x)}=0\\\\\\\dfrac{5-(-x^2+2x+8)}{(x+2)(4-x)}=0\\\\\\\dfrac{5+x^2-2x-8}{(x+2)(4-x)}=0\\\\\\\dfrac{x^2-2x-3}{(x+2)(4-x)}=0\\\\\\\text{Multiply both sides by (x+2)(4-x) to eliminate the denominator:}\\x^2-2x-3=0\\(x-3)(x+1)=0\\x-3=0\quad x+1=0\\x=3\quad x=-1[/tex]
Add the zeros to the number line with an OPEN dot (since it is <):
<----------o-----o----------o----o--------->
-2 -1 3 4
Step 3 Choose test points to the left, between, and to the right of the points plotted on the graph. Plug those values into (x - 3)(x + 1) to determine its sign (+ or -):
Left of -2: Test point x = -3: (-3 - 3)(-3 + 1) = Positive
Between -2 and -1: Test point x = -1.5: (-1.5 - 3)(-1.5 + 1) = Positive
Between -1 and 3: Test point x = 0: (0 - 3)(0 + 1) = Negative
Between 3 and 4: Test point x = 3.5: (3.5 - 3)(3.5 + 1) = Positive
Right of 4: Test point x = 5: (5 - 3)(5 + 1) = Positive
+ + - + +
<----------o-----o----------o----o--------->
-2 -1 3 4
Step 4 Determine the solution(s) based on the inequality symbol. Since the original inequality was LESS THAN, we want the solutions that are NEGATIVE.
Negative values only occur between -1 and 3
So the solution is: -1 < x < 3
Select the correct answer.
Which phrase best describes taxable income?
A.
all income and wages received from working
B.
all income received
C.
adjusted gross income minus any allowable tax credits
D.
adjusted gross income minus any allowable tax deductions
E.
income from sources other than wages, such as interest and dividends
Answer:A
Step-by-step explanation:
The phrase can be described broadly as adjusted gross income (AGI) minus allowable tax deductions.
What is adjusted gross income ?"Adjusted gross income, or AGI, is your gross income minus certain adjustments. The IRS uses this number as a basis for calculating your taxable income. AGI can also determine which deductions and credits you may qualify for."
Since, Taxable income is the portion of your gross income used to calculate how much tax you owe in a given tax year.
It can be described broadly as adjusted gross income (AGI) minus allowable itemized or standard deductions.
Taxable income includes wages, salaries, bonuses, and tips, as well as investment income and various types of unearned income.
Hence, the phrase can be described broadly as adjusted gross income (AGI) minus allowable tax deductions.
Learn more about adjusted gross income visit:
brainly.com/question/6705479
#SPJ5
multiplying polinomiyal(5x+2)(3x+4)
Answer:
(5x+2) (3x+4)
= 15x²+20x+6x+8
= 15 x²+ 26x+8
Hope this helps ^_^
Answer:
Step-by-step explanation:
Use FOIL method
(5x + 2)(3x + 4) = 5x * 3x + 5x *4 + 2*3x +2*4
= 15x² + 20x + 6x + 8 { now add like terms}
= 15x² + 26x + 8
Use the discriminant to determine the number of real solutions to the equation. −4x^2=−8−10x
Answer:
4
Step-by-step explanation:
Answer:
Step-by-step explanation:
You don't get a free answer. I am, after all, a high school math teacher, so there has to be a lesson in with this.
The discriminant is part of the quadratic formula. It is:
[tex]b^2-4ac[/tex]. If this value is found to be > 0 and a perfect square, there are 2 real roots; if this value is found to >0 and not a perfect square, there are 2 complex roots; if this value is found to be = 0, then there is 1 real root with a multiplicity of 2; and finally, if this value is found to be < 0, then there are 2 imaginary roots. Also, it would help to know that, because we are dealing with the discriminant, which comes from the quadratic formula, and quadratics, by definition, have 2 solutions, you must have 2 solutions listed as the possible roots for the equation. Our equation is:
[tex]-4x^2=-8-10x[/tex] but in order to determine the a, b, and c for the discriminant, that equation has to be in standard form, set equal to 0:
[tex]-4x^2+10x+8=0[/tex]
From this we can see that a = -4, b = 10, and c = 8. Filling in the discriminant:
[tex]10^2-4(-4)(8)[/tex] which gives us a value of
100 - [4(-4)(8)] (don't forget orders of operation here!)
100 - (-128) = 100 + 128 = 228
This value is greater than 0 but is not a perfect square, so there are 2 complex roots. That means that there will be radicals in the solutions.
2 + 8(x + 2) = 52
a 3
b 1
C2
d 4
Step-by-step explanation:
[tex]2 + 8(x + 2) = 52 [/tex]
[tex]2 + 8x + 16 = 52[/tex]
[tex]8x + 18 = 52[/tex]
[tex]8x = 52 - 18[/tex]
[tex]8x = 32[/tex]
[tex]x = \frac{34}{8} [/tex]
[tex]x = 4.25[/tex]
Hope it helps u
Solve each system of equation for 3y+x=3 and -2y+5x=15
Answer:
x = 3 and y = 0
Step-by-step explanation:
3y+x=3
-2y+5x=15
Isolate y in 3y + x = 3 :
[tex]y=[/tex] [tex]\frac{3-x}{3}[/tex]
Substitute [tex]y = \frac{3-x}{3}[/tex] in -2y + 5x = 15 :
[tex]-2 * \frac{3-x}{3} + 5x = 15[/tex]
Simplify the equation :
[tex]\frac{-6+17x}{3} =15[/tex]
Isolate x in [tex]\frac{-6 + 17x}{3} = 15[/tex] :
Proving x = 3
Isolate y in [tex]y = \frac{3-3}{3}[/tex] :
Proving y = 0
Your solved system of equations are x being 3, and y being 0.
Enter the coordinates of the point
on the unit circle at the given angle.
60°
Answer:
(1/2, [tex]\frac{\sqrt{3} }{2}[/tex])
Step-by-step explanation:
Don't totally trust me on this...
when simplifying the expression y=(2x(x-3)(x-3))/(x-1)(x-3) do all of the x-3 s get cancelled or just one in the numerator and one in the denominator?
Answer:
Just one of the ones in the numerator and the one in the denominator
Step-by-step explanation:
a sequence starts a 200 and 30 is subtracted each time 200,170,140 what are the first two numbers in the sequence that are kess then zero
===============================================================
Explanation:
a = 200 = first term
d = -30 = common difference
Tn = nth term
Tn = a + d(n-1)
Tn = 200 + (-30)(n-1)
Tn = 200 - 30n + 30
Tn = -30n + 230
Set Tn less than 0 and isolate n
Tn < 0
-30n + 230 < 0
230 < 30n
30n > 230
n > 230/30
n > 7.667 approximately
Rounding up to the nearest whole number gets us [tex]n \ge 8[/tex]
So Tn starts to turn negative when n = 8
We can see that,
Tn = -30n + 230
T7 = -30*7 + 230
T7 = 20
and
Tn = -30n + 230
T8 = -30*8 + 230
T8 = -10 is the 8th term
and lastly
Tn = -30n + 230
T9 = -30*9 + 230
T9 = -40 is the ninth term
Or once you determine that T7 = 20, you subtract 30 from it to get 20-30 = -10 which is the value of T8. Then T9 = -40 because -10-30 = -40.
Answer:
- 10
- 40
Step-by-step explanation:
By the 7th term you should be pretty close to 0. Let's show that.
a1 = 200
n = 7
d = - 30
t7 = a1 + (n - 1)*d
t7 = 200 + (7 -1)*-30
t7 = 200 + 6*-30
t7 = 200 - 180
t7 = 20
This is the last term that is positive. when you take 30 away from t7 you are going to be in negative territory.
t8 = 200 + (8-1) * - 30
t8 = 200 + 7 * - 30
t8 = 200 - 210
t8 = - 10
Now the 9th term
t9 = 200 + (9 - 1)*-30
t9 = 200 + 8 * - 30
t9 = 200 - 240
t9 = - 40
50 apples cost 25$ how much would 75$ apples cost?
Answer:
100
Step-by-step explanation:
Hey there!
First, to find the cost of one apple, 50 ÷ 25, which equals 2.
At this point, i am not very sure if you meant to say 75 apples, or $75 apples, so I am just going to give both solutions.
If you meant 75 apples: 75 x 2 = $150
If you meant $75 apples: $75 ÷ 2 = 37.5
Since it isn't realistic to buy 37 apples and one half, round it to 37 apples.
Hope this helps!
Have a great day!
Solve the inequality.
|11 – xl < 20
[?] < x < [ ]
Answer:
-9<x<31
Step-by-step explanation:
|11 – xl < 20
There are two solutions, one positive and one negative, remember to flip the inequality for the negative
11-x < 20 and 11 -x > -20
Subtract 11 from each side
11-x-11 <20-11 and 11-x-11 >-20-11
-x <9 and -x > -31
Multiply each side by -1, remembering to flip the inequality
x>-9 and x< 31
-9<x<31
A point P has coordinates (-8, -2). What are its new coordinates after reflecting point P across the x-axis?
Answer:
(-8,2)
Step-by-step explanation:
This is because when you reflect a point across the x-axis, the x-coordinate fo the point remains the same and the y-coordinate's sign gets switched.
(x,y) --> (x,-y)
(-8,-2) --> (-8,2)
Evaluate the piecewise function at the indicated values from the domain:
In this question, we given a piece-wise function, that has different definitions depending on the domain.
Evaluate the function at x = 0.
The exercise asks for us to evaluate the function at [tex]x = 0[/tex]
We have to look at the definition, and see which definition includes [tex]x = 0[/tex]. The equal sign at [tex]x = 0[/tex] is on the second definition, that is:
[tex]f(x) = 1, 0 \leq x < 2[/tex]
Thus, at [tex]x = 0[/tex], the value of the function is 1, and the correct answer is given by option A.
For another example of evaluation of a piece-wise function, you can check https://brainly.com/question/17966003
what is the volume of the cone below?
Answer:
96 pi
Step-by-step explanation:
The formula for the volume of a cone is V=pi*r^2*h/3 the radius is 4 and the height is 18 plug in those values into the equation to get V=pi*16*6 16*=96 so the answer is 96 pi.