Answer:
Converting from degrees to radians is actually very simple, it is a one step unit conversion.All we need to know to solve this is that (π)radians=(180)degrees Therefore 135degrees⋅(π)radians180degrees=(135180)π radians =3π4 radians
Step-by-step explanation:
hope this helps
help meeeeeeeeeeeeee
I don't see the image. Can you send it in the message.
Maria is using a coordinate plane with the axes labeled only with integers. She says that the point (-0. 5, 2) cannot be plotted because halves are not numbered on the x-axis. Write a note to explain how to plot the point.
Someone pls help?
Therefore , As a result, the intersection of these two lines will be a necessary point in order to solve the specified scatter plot problem (-0.5,2).
Definition of a scatter plot.Several dots are placed on a vertical and horizontal axis to form a scatter plot. In statistics, scatter plots are crucial because they can demonstrate the amount of correlation, if any, between both the quantities of observed quantities or occurrences (called variables).
Here,
Maria You've erred, you know that. You don't understand the points at all. The attachment can be used to your advantage.
The property of rational numbers, according to which there are an endless number of terminating decimals between any two terminating decimals, must be used in order to plot any terminating decimal on the coordinate plane.
On the X axis, indicate -0.5 between 0 and -1.
Mark integer 2 on the Y axis in a similar manner.
Draw a line perpendicular to the Y axis, passing through (-0.5,0), and a line perpendicular to the X axis, passing through (0,2).
These two lines must cross at the specified position (-0.5,2).
As a result, the intersection of these two lines will be a necessary point in order to solve the specified scatter plot problem (-0.5,2).
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Find the derivative.
y = x tanh^-1(x) + ln (√( 1 −x2))
The answer is:
- 1 < x < 1
I hope this is correct
What line is parallel to 2x 3y 6 at 2 3 )?
The line parallel to the given line 2x+3y=6 is 2x+3y=13.
The general equation of a line is y=mx+c where m is the slope of the line and c is the y-intercept.
The slope of the given line 2x+3y=6 is
3y=(-2x)+6
y=(-2/3)x+2
y=mx+c where m is the slope of the line
so the slope of the given line is (-2/3)
as the slope of two parallel lines is equal so the slope of the line parallel to the given line is also (-2/3)
(y-y1)=m(x-x1) where x1 is the x-coordinate and y1 is the y-coordinate.
Here x1=2 and y1=3
(y-3)=m(x-2)
y-3=(-2/3)x+4/3
3y-9=(-2x)+4
3y+2x=13
2x+3y=13
The line 2x+3y=13 is parallel to the given line 2x+3y=6.
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A teacher buys packs of notebooks to give to his students. The ratio of brown notebooks to red notebooks is represented in the tape diagram. Brown notebooksRed notebooks Based on the ratio, what is the number of brown notebooks when there are 242424 red notebooks
Answer:
yea yea
Step-by-step explanation:
Two players are stand on a basketball court. The angles of elevation from the foot of each player to the 3.5 meters high basket are 40° and 50°. How far apart are the players from each other?
Please try to answer it with a trigonometric function
Therefore, the players are 6.84 meters apart from each other.
What is a projectile?An item that is propelled by the application of an external force and then travels freely while being affected by gravity and air resistance is referred to as a projectile. Projectiles are generally used in sports and combat, despite the fact that every item traveling through space is a projectile.
What is tangent?The straight line that traverses a point with a slope equal to the derivative of the curve at that location is said to be the tangent line to a plane curve at that point in geometry. It was described by Leibniz as the path connecting two points on a curve that are infinitely near together.
If we let x be the distance between the players, then we can use the tangent function to relate the angle of elevation to the distance between the player and the basket:
tan(40°) = 3.5/x
tan(50°) = 3.5/(x+1)
We can solve for x in both equations, and set them equal to each other, we get x= 6.84m
Therefore, the players are 6.84 meters apart from each other.
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Six times a number less 20 is the same as four times the same number increased by 6. Find the number
Answer:
13.
Step-by-step explanation:
SolutionLet X be the number.
Given information from the question, we can formulate an equation:
Six times a number less 20 = 4 times the same number increased by 6
6X - 20 = 4X + 6
From the equation, we can solve for X.
6X - 4X = 6 + 20
2X = 26
X = 26 ÷ 2
X = 13
Therefore the number is 13.
The value of the unknown number is = 13.
Let the unknown number be expressed by the variable = x.
According to the question, the mathematical linear equation in one variable that is 'x' can be expressed as:
=> 6x - 20 = 4x + 6
=> 6x - 4x = 6 + 20
=> 2x = 26
=> x = 26/2
=> x = 13
Therefore, the value of 'x' which is the unknown number is 13.
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There are two chords AB and CD in a circle. |AB| = 10 cm, |CD| 10 cm, |CD| = 8 cm and the radius of the circle is 12 cm. What is the distance of each chord from the centre of the circle?
The distance of each chord from the centre of the circle are √119 and √128 respectively .
Given,
Radius of a circle = 12 cm
AB = 10 cm
CD = 8 cm
Now, we get
BG = 10/2 = 5 cm
HD = 8/2 = 4 cm
(A perpendicular coming from the centre, which is not a diameter, bisects the chord.)
Now,
BE = ED = EF = 12 cm (All radii of a circle are equal.)
Now, by Pythagoras Theorem, we get
H² = P² + B²
For GE —
(BE)² = (GE)² + (BG)²
or, (12)² = GE² + (5)²
or, 144 = GE² + 25
or, GE² = 144 — 25
or, GE² = 119
or GE = ±√119
or GE = √119 (Since, length cannot be negative.)
For HE —
(DE)² = (HE)² + (HD)²
or, (12)² = HE² + (4)²
or, 144 = HE² + 16
or, HE² = 144 — 16
or, HE² = 128
or, HE = ± √128
or, HE = √128 or 8√2(Since, length cannot be negative.)
Hence , the distance of each chord from the centre of the circle are √119 and √128 respectively .
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A pair of 8-sided dice have sides numbered 1 through 8. Each side has the same probability (chance) of landing face up. What is the probability that the product of the two numbers on the sides that land face-up exceeds 36
5/32 of the time, the product of the two numbers on the face-up sides will be greater than 36.
What is meant by probability?The likelihood of an event happening is gauged by probability. Many things are impossible to completely predict in advance. Using it, we can only make predictions about how probable an event is to happen, or its chance of happening.
There are 64 possible options to look at (8 x 8).
If one die is a 1, then no combinations will be possible, even if the other die is an 8.
If one dice is a 2, then no combinations will be possible, even if the other die is an 8.
If one dice is a 3, then no combinations will be possible, even if the other die is an 8.
If one die is a 4, then no combinations will be possible, even if the other die is an 8.
If one die is a 5, the second die must be an 8 for the result to be more than 36. So, (5, 8) is effective.
If one die is a 6, the second die must be a 7 or an 8 to produce a result greater than 36. Therefore, both (6, 7) and (6, 8) are valid.
If one die is a 7, the other die can be a 6, 7, or 8 to get a result that is more than 36. As a result, (7, 6), (7, 7) and (7, 8) all function.
If one die is an 8, the other die can be a 5, 6, 7, or 8 to get a result that is more than 36. Therefore, (8, 5), (8,6), (8,7), and (8,8) are valid.
Out of a total of 64 possible combinations, there are a total of 1 + 2 + 3 + 4 = 10 that are successful.
As a result, the response is 5/32 because 10/64 = 5/32.
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9. The expression (xn)(x5)3 is equivalent to x30. What is the value of n?
Answer: N= x24 over 3
Step-by-step explanation:
fFind the length of the arc on a circle with radius of 27 meters and intercepted by a central angle of 120 degrees
The length of the arc that subtended an angle of 120° with a radius of 27 m is 18π m.
We know that the length of the arc of a circle = Radius of the circle × angle subtended by the arc (in radians)
Here radius of the circle is 27 m
The angle subtended is 120°
Hence we will first convert the angle into radians
Angle in radians = Angle in degree X π/180
= 120 X π/180
= 2π/3
Therefore, the length of the arc = 27 X 2π/3
= 18π m
Therefore, the length of the arc that subtended an angle of 120° with a radius of 27 m is 18π m.
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H) find the solution of the equation
In ( x + 2 ) = 4
how?
Answer:
x = 2
Step-by-step explanation:
If you look at the equation:
(x + 2) = 4
We just need to solve for x.
To solve for x, we can subtract the total by the addend, to get the variables value.
4 - 2 = 2
Therefore, the value of x is 2.
What percentage of the class voted for Maria?
Given: 2x−43=2
Prove: x = 5
Select from the drop-down menus to correctly complete the proof.
Statement Reason
2x−43=2 Given
2x−4=6
Choose...
2x = 10
Choose...
x = 5
Therefore , the solution of he given problem of linear equation comes out to be x = 5.
A linear equation is defined.A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.
Here,
Given : 2x-4=6
To prove x =5
Thus,
We have to find the value of x
=> 2x =10
=> x =10/2
=> x =5
Therefore , the solution of he given problem of linear equation comes out to be x = 5.
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The table shows the gallons of fuel remaining after a car
travels a certain distance in miles
Distance
(miles)
Fuel Remaining
(gallons)
The change in fuel remaining from one row to the next
in the table is gallon(s)
The change in distance from one row to the next in the
table is
mile(s)
The slope of the line that runs through the points given
in the table is
The slope indicates a
13. 50
13. 46
13. 42
3
13. 38
13. 34
5
13. 30
The slope shows a change in the amount of fuel left in each mile. Since the slope is -0.04, the amount of fuel left drops by 0.04 gallons each mile
what is slope ?The slope of a line governs its steepness. Using mathematics, the gradient is expressed as "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical (rise) to the horizontal (run) change in distance between any two sites. Every time the equation for a straight line is written as y = mx + b, the slope-intercept representation of the equation is utilized. At the location of the y-intercept, the line has a slope of m, b, and c. (0, b). As an example, the y-intercept of the equation y = 3x - 7 has a value of 3. (0, 7).
given
It is evident that with each additional row, the distance is increased by one mile and the fuel level is altered.
From one row to the next in the table, the amount of fuel left changes by -0.04 gallons.
The distance in the table that changes from one row to the next is 1 mile.
The slope is the pace at which the amount of fuel left changes in relation to the change in distance.
The line that passes through the places listed in the table has a slope of -0.04 degrees.
The slope shows a change in the amount of fuel left in each mile. Since the slope is -0.04, the amount of fuel left drops by 0.04 gallons each mile.
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You work at an oil refinery and are in charge of draining a tank until the
are 635 gallons left inside. The tank starts with 827 gallons, and you c
drain it at a rate of 48 gallons per minute. How many minutes do you
need to drain the tank to the right level?
You need
minutes.
A drawer contains 9 red socks and 11 blue socks. It is dark and you are trying to grab a matching pair. How many socks do you need to take out to be sure of a matching pair
If we pull 3 socks then there is a 100% possibility that 2 socks will be of same colour.
What is Probability ?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
A probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportional ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
The likelihood that a specific occurrence will occur. (2): the proportion of the total number of available outcomes to the number of outcomes in an exhaustive set of equally probable options that result in a certain occurrence.
There are 9 red socks and 11 blue socks
So if we find a red/blue sock in the first turn,
The second can be both blue or red so we can't be sure it will be matching or not.
At third turn any one colour of sock will match with any of the two already pulled before if they are different.
So, if we pull 3 socks then there is a 100% possibility that 2 socks will be of same colour.
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need help plsssssssss
Answer: y<-5x+9
Step-by-step explanation:
Slope is -5, y-intercept is 9 and the shaded area is on the left side (meaning y is less than the line). The line is dotted which means that the answer will less than but not equal to.
Why are sine and cosine ratios always less than 1?
Answer:
Step-by-step explanation:
The simple explanation is that the hypotenuse and sides of a right triangle are always shorter than one another. Therefore, any side's to any hypotenuse's ratio will never be greater than 1. The figure is no longer a triangle when the angle is 0 or 90 degrees because one of the sides vanishes and the other side lines up with the hypotenuse. For this reason, sin and cosine have values of 0 or 1 in these extreme situations.
The number y of duckweed fronds in a pond after t days is y=a(1230. 25)t/16, where a is the initial number of fronds. By what percent does the duckweed increase each day? Round your answer to the nearest whole number
The duckweed increases by a percentage each day which is calculated by the equation
(1230.25t/16)/a - 1.
This equation can be further simplified to 1230.25t/16a - 1 and then multiplied by 100 to get a percentage.
So the percentage increase of duckweed each day is calculated by multiplying 1230.25t/16a - 1 by 100.
1230.25t/16a×100
This will give us the percentage of increase each day, rounded to the nearest whole number.
For example, if the initial number of fronds is 1000 and the number of days is 2, the percentage increase of duckweed will be (1230.25(2)/16(1000)) - 1 = 24.6%, rounded to the nearest whole number which is 25%.
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Pedro loves to try new adventures. His most recent was jumping out of an airplane. His special watch tells him his altitude. He set a timer at the moment he opened his parachute. His altitude relative to sea level, A, in feet, which is a function of time, in minutes, is shown in the table below.
A t
11,100 4
7200 8
3300 12
A function could be written to describe the decent:
Blank 1
= (Blank 2
)t + Blank 3
The equation of the linear function is A(t) = -975t + 15000
How to determine the equation of the functionFrom the question, we have the following parameters that can be used in our computation:
The table of values
From the table of values, we have:
A(t) t
11,100 4
7200 8
3300 12
From the above table of values, we can see that
As t increase by 4, the value of A(t) decreases by 3900
This means that the table of values is a linear relation, and the slope is
slope = -3900/4
slope = -975
A linear equation is represented as
y = mx + c
Where
slope = m
So, we have
A(t) = -975t + c
Using the points on the table, we have
11000 = -975 * 4 + c
Evaluate
c = 15000
So, we have
A(t) = -975t + 15000
Hence, the equation is A(t) = -975t + 15000
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Please help me with my work
Answer:
16p^12 q^4
Step-by-step explanation:
Open up the parenthesis and simplify.
2^4 is 16
p^3 times ^4 is p^12
q times ^4 is q^4
So your answer is 16p^12 q^4
Answer:
16p^12 q^4
Step-by-step explanation:
This is because the power 4 will multiple with all the variables inside
hence, p^3 will become p^12
and q^1 will become q^4
the power 4 will also change 2 into 2^4 which is 16
A square dining room table has a perimeter of (12x "-40)" feet.Which expression represents the side length of the table (in feet)
The equation that represents the length of the square dining room in feet is (1/4)x - 5/6.
What are the dimensions of a square?The area of a square is a product of it's any two sides or a product of diagonals divided by two. If a side has a length 'a' then the diagonal is a√2.
The perimeter of a square is the sum of the lengths of all the sides.
We know the perimeter of a square is 4×side.
We also know that 1 foot is equal 12 inches.
Given, A square dining room table has a perimeter of (12x - 40)".
Now if we factor out a 4 we'll have the side inside the bracket which is,
4(3x - 10)'', This is in inches to convert it to feet we have to divide what is inside the bracket by 12 which is,
= (3/12)x - 10/12 feet.
= (1/4)x - 5/6 feet.
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bonjour svp aide moi
Exercice 7: mon et nop sont deux angles adjacents supplémentaires tel que mOn = 60°.
1°) Calculer nOp.
Answer:
n0p = 120°
Step-by-step explanation:
m0n + n0p = 180°
60° + n0p = 180°
n0p = 120°
Y’all please help my mind isn’t working please
Answer:
Step-by-step explanation:
To find values of y we substitute values of x in the given expression so when x = 0
y = (0)^2 - 6(0) + 3
= 3.
x = 1, y = 1^2 - 6(1) + 3 = -2
x = 3, y = 3^2 - 6(2) + 3 = 0.
Use these values to draw the graph
(a) Read this from the graph
Coordinates of the minimum should be 3, -6)
(b) Equation of the line of symmetry is the vertical line through the minimum point ( x = 3).
(c) Read these from the graph.
(the points where the graph cut the x-axis).
(d) and e - read the values from your graph.
How do you verify that a dilation is a similarity transformation?
A transformation that alters the size of a figure is called a dilation (similarity transformation). It needs a scale factor of k and a central point. Depending on the value of k, the dilatation is either an enlargement or a decrease. The dilation is an enlargement if |k|>1.
If two figures have the same shape but different sizes, they are said to be comparable. A stiff motion combined with a rescaling constitutes a similarity transformation. In other words, a similarity transformation can change shape without changing location or size.
A dilation is a transformation that yields a different-sized picture with the same general shape as the original. Enlargements are dilations that result in a bigger picture. Reduction is the name for a dilatation that shrinks the picture. The initial figure is stretched or contracted by a dilatation.
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Is gram mole equal to mole?
No, one mole is not equal to one gram. For an object, the mole and gram numerical values differ.
1 gram, what is it?
One mole consists of an Avogadro number of atoms. If you are aware of the mole quantity, you can convert a mole into grams.
The mole (symbol: mol) is the unit of material quantity used by the International System of Units. The amount of a substance determines how many elementary entities of that substance are present in an object or sample. The mole must contain precisely 6.02214076×10²³ elementary entities.
A mole's relationship to a gram is
The product of the number of Moles of an object to its atomic weight equals one gram.
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Brian buys bananas from the grocery store each week. Last week he bought 5 pounds of bananas and paid $2.95. If he buys 8 pounds of bananas this week, how much will he pay?
Explain how I do this please and thank you!
Answer:
Step-by-step explanation:
You need to add both of the angles you already know (1 and 2). If you add angle 1 and angle 2 you get 74. This means m < J K M would be 74°.
Answer:
74 degrees
Step-by-step explanation:
You have to add angles 1 and 2
35 +39=74
Therefore, 74 is the answer
The question is in the picture I would appreciate if you could explain how to get the answer thank you.
(0.818 , 1.546) is the point that is part of solution.
point (0,2) and (2,0) are not the part of solutions.
3y - 2x ≤ 3
y + 3x ≤ 4
these are the system of inequalities.
What are Inequalities?
Inequality is a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance.
Given in this question,
There are two lines L1 and L2.
From the graph we can find the two points that lies on the line L1 be
(0,1) and (3,3).
similarly From the graph we can find the two points that lies on the line L2 be
(0,4) and (2,-2).
From the two points (x1 , y1) and (x2,y2) we can write the equation of the Line from the following formula :
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]. This is the equation of line for given two points.
Equation of line L1 :
[tex]y-1=\frac{3-1}{3-0} (x-0)[/tex]
3y - 3 = 2x ----------(ii)
Equation of line L1 : 3y - 2x = 3.
Equation of line L2 :
[tex]y-4=\frac{-2-4}{2-0} (x-0)[/tex]
y = -3x + 4 ----------(ii)
Equation of line L2 : y + 3x = 4.
The point that is the part of the solution :
putting the value of y from equation (ii) in equation (i).
3(-3x+4) -3 = 2x
-9x-2x = -12+3
-11x = -9
x = 0.818
y = -3(0.818) +4 = +1.546
so Point of intersection is (0.818 , 1.546)
This is the point that is part of solution.
The point that is not below both the lines are not part of solution.
the point that are not part of solution are:
3y - 2x ≥ 3 -> (0,2)
y + 3x ≥ 4 -> (2,0)
point (0,2) and (2,0) are not the part of solutions.
Inequalities are for shaded portion :
3y - 2x ≤ 3
y + 3x ≤ 4
these are the system of inequalities.
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