Answer: -39.57
Step-by-step explanation:
help me 20 point if you do
Answer: rotate 180° and translate down.
Step-by-step explanation:
hope this helps!
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Rotating angle 1 by 180° would leave it in the position of angle 4. From there, you can translate it directly down onto angle 8. This will prove congruency.
It’s exactly 2 pm. On a standard clock, how many degrees are in the angle between the hour and minute hand?.
Angle between hour hand and minutes hand is 60 degrees.
What is angle ?
An angle is a shape created by two rays or lines that have a shared termination.
Main Body:
As a clock is complete circle , total angle created by it is 360 degrees.
Numbers of hours in a clock = 12
Angle created by 1 hour = total angle / total no. of hours
= 360/12
= 30 degrees.
Now according to the question total hours = 2
multiplying 2 with degrees between 1 hour hand and minute hand.
Hence total angle created by hour and minute hand id 60 degrees.
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Please help with questions. Thank you.
Answer:
2. 29°
3. 62°
4. 3
Step-by-step explanation:
Question 2
Interior angles of a triangle sum to 180°.
⇒ x + 57° + 94° = 180°
⇒ x + 151° = 180°
⇒ x + 151° - 151° = 180° - 151°
⇒ x = 29°
Question 3
Interior angles of a triangle sum to 180°.
⇒ x + 31° + 87° = 180°
⇒ x + 118° = 180°
⇒ x + 118° - 118° = 180° - 118°
⇒ x = 62°
Question 4
The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle.
⇒ (10x + 2)° = (2x + 1)° + 25°
⇒ 10x + 2 = 2x + 1 + 25
⇒ 10x + 2 = 2x + 26
⇒ 10x + 2 - 2x = 2x + 26 - 2x
⇒ 8x + 2 = 26
⇒ 8x + 2 - 2 = 26 - 2
⇒ 8x = 24
⇒ 8x ÷ 8 = 24 ÷ 8
⇒ x = 3
the regression equation is used to estimate a value of the dependent variable y based on a selected value of the independent variable x. true false
Answer:ummm it could be oh yea so true
Step-by-step explanation:
What is the equation of a line that is parallel to 4x+3y=12 and passes through the point (3, 4)? enter your answer in the box.
The equation of a line that is parallel to 4x+3y=12 and passes through the point (3, 4) is 4x+3y = 24
The standard form of equation of line is y=m x+ b
where m is slope of line and b is y-intercept.
According to the question,
The required line is parallel to line whose equation is 4x + 3y = 12
Slope of given line =
3y = 12 - 4x
dividing by 3 both sides,
y = 12/3 - 4/3x
=> y = 4 - 4/3x
Slope of given line = -4/3
If two lines are parallel their slopes are equal to each other
Hence , Slope of required line : m = -4/3
Equation of line : y = -4/3x + b ------------(1)
It is given that required line also passes through the point = (3,4)
substituting the values of x = 3 and y=4 in equation (1)
=> (4) = (-4/3)(3) + b
=> 4 = -4 +b
=> b = 8
Substituting the value of b,
The equation of required line is y = -4/3x + 8
multiplying by 3 both sides,
3y = -4x + 24
=> 4x+3y = 24
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What is the image of the point (4,0) after a rotation of 90 counterclockwise about the origin ?
Answer:
The image point of (4,0) after the rotation of 90° counterclockwise about the origin is (-4,0)
a 130 foot tall building has a shadow that is 4 feet long. what is the angle of elevation of the sun? round to 2 decimal places.
The angle of elevation of the sun is 18°.
According to the question,
We have the following information:
A 130 foot tall building has a shadow that is 400 feet long (this is the correct question).
Now, let's take the angle of elevation of the sun to be x°.
Now, the height of the building will become perpendicular and the shadow will serve as the base for the angle of elevation.
We will use the trigonometric function tan.
Tan x = Perpendicular/base
Tan x = 130/400
Tan x = 0.325
Now, the value of x is 18°.
Hence, the angle of elevation of the sun is 18°.
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the soccer team ratio of games won to games played was 3 to 8 if the team played 56 games how many did they win
They won 168/11 games.
From the question, we have
Ratio = 3:8
team played = 56 games
Won = 56*3/11
=168/11
=15.27
Divide:
Divide, in its simplest form, means to divide into two or more equivalent portions, spaces, groups, or divisions. Divide, in plain English, means to provide the entire thing to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.
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Can someone help me really quick
(Please Explain how you know this is correct.)
given a1= -5 and an=an-1+3 what are the first 4 terms of the sequence
The first 4 terms of the sequence are -5, -2, 1, 4
What is a sequence?
A sequence is a predetermined arrangement of connected actions, occurrences, or objects that occur after one another. A sequence is an ordered collection of enumerated objects in mathematics where repeats are permitted. A sequence can also be seen as a set as it contains members as well.
Solution Explained:
Given,
[tex]a_{1} = -5\\a_{n} = a_{n-1} + 3[/tex]
Assuming n ≥ 2, we get
[tex]a_{2} = a_{n-1} + 3\\a_{2} = a_{2-1} + 3 \\a_{2} = a_{1} + 3\\a_{2} = -5 + 3\\a_{2} = -2[/tex]
[tex]a_{3} = a_{n-1} + 3\\a_{3} = a_{3-1} + 3 \\a_{3} = a_{2} + 3\\a_{3} = -2 + 3\\a_{3} = 1[/tex]
[tex]a_{4} = a_{n-1} + 3\\a_{4} = a_{4-1} + 3 \\a_{4} = a_{3} + 3\\a_{4} = 1 + 3\\a_{4} = 4[/tex]
Hence, the first 4 terms of the sequence are -5, -2, 1, 4
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Find CE. show work please
Answer:
63
Step-by-step explanation:
Corresponding sides of similar triangles are proportional, so:
[tex]\frac{CE}{DE}=\frac{FE}{GE} \\ \\ \frac{8x-1}{6x+3}=\frac{21}{17} \\ \\ 17(8x-1)=21(6x+3) \\ \\ 136x-17=126x+63 \\ \\ 10x=80 \\ \\ x=8 \\ \\ CE=8(8)-1=63[/tex]
the question above please
HI PLS HELP ME ON MY MATH HOMEWORK I WILL ALSO GIVE BRAINLIEST
The Diagrams 2 and 4 are correct while diagrams 1 and 3 are incorrect.
How to determine similar triangles and trapeziums?
From the given parameters
Triangle 1 has the following features
Let us label the triangle ABCD;
ΔABD is isosceles.
The base angles are equal =52⁰
Also, ΔBCD is also isosceles
The base angles are equal =74⁰
∠DBC is not equal to ∠BAD
Therefore; the image is not correct.
From figure 2
Let it be MNOP;
ΔMNO is isosceles base angles are equal=76⁰
∠MNO is not equal to ∠MOP=28⁰
From figure 3
A Plane geometry deals with flat shapes that you can draw on a piece of paper, such as squares, circles, and triangles.
The image does not resemble these shapes.
therefore it is incorrect.
From figure 4
A trapezium is a quadrilateral with exactly one pair of opposite sides parallel to each other.
∠ACB=∠ABC=27⁰
The triangles on opposite sides are equal to each other.
Therefore the image is correct.
In conclusion, images 2 and 4 are correct while images 1 and 3 are incorrect.
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Melissa and Joe are playing a game with complex numbers. If Melissa has a score of
5 - 4i and Joe's score is the conjugate of 3+ 2i, what is their total score?
M = 5 - 4i
J = 3 + 2i
J* = -3 + 2i (Conjugate)
Therefore M + J*
= (5 + -3) + (-4i + 2i)
= 2 - 2i
The equation represent y as a function of x. Identify the slope and y-intercept for this linear function.
y = 8-3x
Slope =
y-Intercept =
Answer:
y= 8
Step-by-step explanation:
y = 8 - 3x
y = 8-3*0
y = 8
Given equation is
[tex]y = 8 - 3x[/tex]
we need to identify the slope and y intercept of this function.
We know that standard form of slope intercept form as
[tex]y = mx + c[/tex]
where ,
m is slopec is y interceptWe can convert the given equation into standard form as ,
[tex]\longrightarrow y = -3x + 8 [/tex]
On comparing to the standard form, we have ;
[tex]m = - 3[/tex][tex]c = 8[/tex]And we are done!
The quantities x and y are in a proportional relationship.
What do you know about the ratio of y to x for any point (x, y) on the line?
Answer: constant of proportionality
Explanation: Assuming that we have two proportional quantities; one is x and one is y. If you know whether the relationship between them is direct or inverse proportion, then the ratio of the two quantities y/x gives us a constant generally known as the constant of proportionality.
Please show work! Will give brainliest if correct and with work shown! 100 pts!
Joe has 10 bills in his wallet. The total amount of money is $34, and he has only $1 and $5 bills. If Joe has two more $5 bills than $1 bills, find the number of each type of bill that he has in his wallet. Use a system of equations to find the answer.
Answer:
Joe has 6 $5 bills and 4 $1 bills.
Step-by-step explanation:
Joe has 10 bills, $1 and $5, so:
x + y = 10Joe has a total of $34, so:
x + 5y = 34Substitution can be used between the two equations to achieve the answer.
x + y = 10x + 5y = 34Isolate x on one side in line 2: x = 34 - 5yUse substitution and plug the x we just found into the equation in line 1(34 - 5y) + y = 1034 - 5y + y = 1034 - 4y = 10-4y = -24y = 6Plug y = 6 into the equation in line 1 to find xx + 6 = 10x = 4Check to make sure it works4 + 6 = 104 + 5(6) = 4 + 30 = 346 - 4 = 2 (There are two more $5 bills than $1 bills)The total cost for laundry service, in dollars, depends on the weight of the laundry, in pounds. This relationship is proportional, as it costs $20.70 for 23 pounds of laundry and $34.20 for 38 pounds of laundry.
In words, describe the graph of the proportional relationship.
A line from (0, 0) going through (20.70, 23) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)
A line from (0, 0) going through (23, 20.70) where the x-axis is labeled Cost (in dollars) and the y-axis is labeled Weight (in pounds)
A line from (0, 0) going through (38, 34.20) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)
A line from (0, 0) going through (38, 34.20) where the x-axis is labeled Cost (in dollars) and the y-axis is labeled Weight (in pounds)
The graph of the proportional relationship is (c) A line from (0, 0) going through (38, 34.20) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)
How to determine the graph of the line?From the question, we have
It costs $20.70 for 23 pounds of laundry and $34.20 for 38 pounds of laundry
This means that
(x, y) = (20.70, 23) and (34.20, 38)
Where
x = Weight and y = Cost
From the question, we understand that
The graph is a proportional graph
This means that the line passes through the origin
So, we have
(x, y) = (0, 0), (20.70, 23) and (34.20, 38)
Remove one of the points
(x, y) = (0, 0) and (34.20, 38)
Hence, the graph of the proportional relationship is (c)
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Answer:
The graph of the proportional relationship is (c) A line from (0, 0) going through (38, 34.20) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)
Step-by-step explanation:
I took the exam and got it right
X^3+5x factored form
Answer:
[tex]x(x^{2}[/tex] + [tex]5)[/tex]
Step-by-step explanation:
[tex]Factor ( x^{3}[/tex] + [tex]5x )[/tex]
[tex]x^{3}[/tex] + [tex]5x[/tex]
= [tex]x(x^{2}[/tex] + [tex]5)[/tex]
Hope this helps! :)
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Using the equation of the model:
a. 7.8 billions of pounds
b. 9.8 billions of pounds.
How to Apply an Equation for a Given Model?In the above problem given, the equation, y = 7.1(1.03)^x models the cheese production in the country, where:
x = number of years after 2003y = amount of cheese produced in billion poundsa. 2006 after 2003 is 3 years. Substitute x = 3 into the equation, y = 7.1(1.03)^x:
y = 7.1(1.03)^3
y = 7.8
Total cheese produced in 2003 was about: 7.8 billions of pounds
b. 2014 after 2003 is 11 years. Substitute x = 11 into the equation, y = 7.1(1.03)^x:
y = 7.1(1.03)^11
y = 9.8
Total cheese that would be produced in 2014 will be about: 9.8 billions of pounds.
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Classify the system of equations.
-x=1-y
2+y=x+1
Answer:
x=− 21=−0.5y=y 2 − 21
Step-by-step explanation:
please answer this question
Answer:
a) 10 ; scale factor is 2
b) 15; scale factor 5
c) 1.5; scale factor is ½ or 0.5
d) 6.3; scale factor is 3
e) 24, 2; scale factor is ⅛ 0.125
f) 4.6, 9; scale factor 3⅕ or 3.2
Step-by-step explanation:
a) to get form your first term to the corepnoding term you have to divide the first term form your second term for example 6÷3 is 2 so 2 is the scale factor. You multiply 5 by 2 so 5×2 is 10 the blank is 10
b,d and f) Do the same step process like what you do for letter a to get these terms
c and e) Do the same steps as a but keep in mind that because the number in the second term are smaller the scale factor is less then 1 so for c it would be ½ as opposed to 2 since the new number is smaller
The depth at which dolphins dive, y, in feet, as related to the duration of the dive, t, in seconds, is represented by the linear model ŷ = 0.25 5.78t. if the dive duration is 3 seconds, what is the predicted depth of the dive? 0.48 feet −17.59 feet 17.59 feet −0.48 feet
According to the given linear equation depth of the dive is 17.59 feet.
What is linear equation?
A linear equation is also known as a one degree equation. The linear equation's highest power is 1. Linear equations are equations with variables on both sides that are multiplied by a constant.
Here the given linear equation is ,
=> y = 0.25+5.78t
Here t is time in seconds which is t=3 seconds.
Put t=3 sec into linear equation then,
=>y=0.25+5.78*3
=>y= 0.25+17.34
=>y=17.59.
Hence depth of the dive is 17.59 feet.
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23.35 divided by 27.65
round answer in 2 decimal places
Answer:
0.84
Step-by-step explanation:
23.35 divided by 27.65 = 0.84448462929
Rounded to the first 2 decimal places would be:
0.84
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Answer:
Step-by-step explanation:
[tex]\frac{23.35}{27.65} \approx{0.84}\\[/tex]
debra runs each lap in 6 minutes. she will run less than 8 laps today. what are the possible numbers of minutes she will run today?
If Debra runs each lap in 6 minutes and she will run less than 8 laps today. Then the possible number of minutes that she will run todays is less than 48 minutes
Time taken for each lap = 6 minutes
Number of laps that she run today = less than 8 laps
The possible number of minutes that she will run today ≤ Time taken for each lap × Number of laps that she run today
Here we have to use the inequality
The inequality is defined as the relation ship between two variables that is not equal. The inequality operations are less than, greater than, less than or equal to, greater than or equal to etc..
The possible number of minutes that she will run today ≤ 6 × 8
≤ 48 minutes
Hence, if Debra runs each lap in 6 minutes and she will run less than 8 laps today. Then the possible number of minutes that she will run todays is less than 48 minutes
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a simple random sample of size n from a finite population of size n is a sample selected such that each possible sample of size of being selected.
A simple random sample of size n from a finite population of size n is a sample selected such that each possible sample of size the same probability of being selected.
As we know that,
A selection of participants from a population are chosen at random by the researcher using simple random sampling, a sort of probability sampling. Every person in the population has the same chance of being chosen.
So n has the same probability of being selected.
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The right question is
A simple random sample of size n from a finite population of size N is a sample selected such that each possible sample of size
n has a probability of 0.5 of being selected.
n has the same probability of being selected.
N and n have the same probability of being selected.
n has a probability of 0.05 of being selected.
An 8-cup container of window cleaner costs $6.00. What is the price per pint?
Answer:
Step-by-step explanation:
0.75
hope this helps
Two larger cubes are made out of unit cubes. Cube A is 2 by 2 by 2. Cube B is 4 by 4 by 4. The side length of Cube B is twice that of Cube A
Is the surface area of cube B also twice that of CUbe A?
No, the statement the surface area of Cube B is also twice that of Cube A, is False.
Cube A is of 2 by 2 by 2
So the length of each side of Cube A is 2 units
So the surface area of Cube A = 6*2*2 = 24 square units
Cube B is of 4 by 4 by 4
So each side length of Cube B is 4 units
So the surface area of Cube B = 6*4*4 = 96 square units
So Surface area of Cube B is = 96/24 = 4 times of surface area of Cube A.
So the given statement is not true.
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Rise and shine How long before school starts do students get out of bed, on average? Administrators survey a random sample of students on each school bus one morning. Give a reason why this survey might yield a biased result. Explain the likely direction of the bias
Answer: when it is morning time to get up and you put your clothes and your shoe and your backpack and your coat and you wait for the bus
Step-by-step explanation:
Factor the polynomial function.
G(W) = -125w² +180
By factoring the polynomial function, G(W) = -125w² +180 we get w = 1.2.
Define polynomial function.In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1. f(x) = anxn + anxn+1 +... + a² + a¹x + a⁰ is the formula for a polynomial. The greatest power of x in an expression is the polynomial's degree. Polynomials of degree 0, 1, 2, 3, and 4 are constant (non-zero) polynomials, linear polynomials, quadratics, cubics, and quartics, respectively.
Given,
Polynomial function,
-125w² + 180 = 0
-125w² = -180
w² = 180/125
w² = 1.44
Squaring,
w = √1.44
w = 1.2
By factoring the polynomial function, G(W) = -125w² +180 we get w = 1.2.
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