A negative correlation coefficient indicates that as one variable increases, the other variable decreases. This means that the points on the scatterplot are spread in a downward direction, which suggests a negative correlation between the two variables.
A scatterplot is a graph that shows the relationship between two variables by plotting points that represent the values of the two variables. When reviewing a scatterplot, one can look for the correlation coefficient, which is a statistical measure that describes the strength of the relationship between the two variables. A negative correlation coefficient indicates that as one variable increases, the other variable decreases. This means that the points on the scatterplot are spread in a downward direction, which suggests a negative correlation between the two variables. A scatterplot with several negative coefficients indicates that the correlation between the two variables is negative, meaning that when one variable increases, the other one decreases. The strength of the correlation is determined by how close the points on the scatterplot are to the line of best fit. A strong negative correlation means that the points are close to the line of best fit and are spread in a downward direction, while a weak negative correlation means that the points are further away from the line of best fit and are spread in a more random pattern.
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A rectangle has a length of 8.2cm and a height of 42mm. The area of the rectangle is mm2
Answer: To find the area of a rectangle, you can use the formula:
Area = Length x Height
In this case, the length is given in cm and the height is given in mm. Therefore, you need to convert the length to mm before you can calculate the area.
1cm = 10mm.
So, 8.2 cm = 8.2 x 10 = 82mm
Now you can find the area of the rectangle:
Area = Length x Height = 82mm x 42mm = 3,444 mm^2
So, the area of the rectangle is 3,444 mm^2
Step-by-step explanation:
is x-3y =15 and y = -3y + 4 perpindiculad paralleled or neither
The two lines are perpendicular because the product of their slopes is equal to 1
What is the slope-intercept form of a line?The slope-intercept form of a line is represented by y=mx+c where m=slope and c is the y-intercept of the line
Given here: The two lines x-3y =15 and y = -3y + 4
Rewriting the given expressions in slop-intercept form we get
y=x/3-5
y = -3y + 4
The respective slopes are given as 1/3 and -3
Thus the product of the two slopes is 1/3×-3=-1
Hence, The given lines are perpendicular.
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An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 120 g of an alloy That contains 42% copper with 200 g of pure copper
The mixture is 78.25% copper for the given alloy.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
To solve the given situation, we utilize material balancing before and after mixing.
Let the total amount of material after mixing is 320.
Let x be the percent copper of the mixture and applying copper balance,
⇒ (0.42)(120 g) + (1)(200) = 320x
Solving the above equation, we get the value as
⇒ x = 0.7825
Thus, the mixture is 78.25% copper.
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Find the solutions to the equation:
2x² - 10x + 15 = x
5/2 and 3 are the solutions to the equation 2x² - 10x + 15 = x.
What is equation?An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =. In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the relationship between two expressions on opposite sides of the sign. It mostly consists of one variable and one equal to symbol. 2x - 4 = 2 is an example.
Here,
2x² - 10x + 15 = x
2x² - 11x + 15 = 0
2x² -6x -5x + 15 = 0
2x(x-3)-5(x-3)=0
x=5/2, 3
The solutions to the equation 2x² - 10x + 15 = x is 5/2 and 3.
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Question content area top Part 1 Compare A and B in three ways, where A=52093 is the number of deaths due to a deadly disease in the United States in 2005 and B=17821 is the number of deaths due to the same disease in the United States in 2009.
In the below we have compared deaths in A and B in terms of ratio, percentage and in terms of proportion.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
The first comparison is in terms of rato.
The ratio of deaths due to a deadly disease in the United States at A and B is A : B = 17821 : 52093.
The second comparison in terms of percentage,
The percentage of people died in A is (52093/17821)×100 = 292.31% more than people died in B.
The third comparison is in terms of fractions.
The fraction of people died in A is (52093/17821) = 2.92 times more than people died in B.
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Use the distributive property to write each expression as an equivalent
algebraic expression.
-2(x-4)
Answer:
the equivalent algebraic expression is -2x -8 after applying the distributive property.
Step-by-step explanation:
The distributive property states that for any real numbers a, b, and c, a(b+c) = ab + ac.
To apply the distributive property to the expression -2(x-4), we can distribute the -2 across the parenthesis, like this:
-2(x-4) = -2x + (-2)(-4)
Simplifying the last part of the expression:
-2(x-4) = -2x -8
So, the equivalent algebraic expression is -2x -8 after applying the distributive property.
? ÷ 2/5 = 4
Draw a diagram to represent the situation.
Given expression ?/(2/5)=4 where ?=x gives x=8/5.
what are expressions?
Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.
e.g. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.
Now,
Given expression ? ÷ 2/5 = 4
let x=?
Therefore,
x=4*2/5
x=8/5
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Jessica makes $10 an hour babysitting. She babysat 4 hours on Friday
and 7 hours on Saturday. Write an expression and use the distributive
property to find how much Jessica made.
Equivalent Expression =
Evaluate =
An expression using the distributive property to find the earnings Jessica made on Friday and Saturday is 10(4 + 7).
What is distributive property?The distributive property postulates that multiplying the sum of two or more addends by a number gives the same result as multiplying each addend by the number and then adding the products together.
The distributive property helps to solve mathematical expressions written in the form of a(b + c).
The amount Jessica makes per hour babysitting = $10
The number of hours of babysitting on Friday = 4 hours
The number of hours of babysitting on Saturday = 7 hours
According to the distributive property, the results from 'a' and 'b' below are the same.
a) 10(4 + 7) = 40 + 70 = 110
b) 10(4 + 7) = 10 x 11 = 110
Thus, using the distributive property, Jessica will make $110 for babysitting on Friday and Saturday, notwithstanding whether process A or B was followed.
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A commission of $300 was paid to a broker's agent for the sale of a bond. If the commission was 3/4% of the sales value of the bond, how much was the bond sold for?
Answer:
Look below
Step-by-step explanation:
Sale prince is $300
the commission is 3/4%
Commission amount is $2.25
Price + commission $302.25
Price - commission $297.95
I hope this gives you the answer you where looking for
find the volume v of the described solid s. the base of s is the triangular region with vertices (0, 0), (5, 0), and (0, 5). cross-sections perpendicular to the x-axis are squares.
Using the disk method, it can be concluded that the volume of the solid is 125π /3 cubic units.
Disk Method is a method used to determine the volume of a solid formed by revolving the region about the x-axis and the interval [a, b]. The volume of the solid is the integral of the area of the base times dx.
V = π ∫ Ax dx
From the question, we know that the base of the figure is a triangular region and the coordinates are (0,0), (5,0), and (0,5).
The square is perpendicular to the x-axis. Thus, we can find the side of the square, that is the straight line passing through (5,0) and (0,5) which meet the y = mx + b equation.
First, we determine the slope of the line (m).
m = (y₂ - y₁) / (x₂ - x₁)
= ( 5 - 0 ) / ( 0 - 5 )
= 5 / -5
= -1
To find b, we input the value of m into the equation for point (5,0):
y = mx + b
0 = -1*5 + b
0 = -5 + b
b = 5
So we got the side of the square:
y = mx + b
y = -x + 5
y = 5 - x
Thus the area of the square is:
A = side²
= (5 - x)²
= 25 + x² - 10x
The volume of the solid can be calculated as follows:
V = π ∫ Ax dx
= π ∫₀² (25 + x² - 10x) dx
= π (25x + 1/3x³ - 5x² |₀⁵)
= π (25*5 + 1/3*5³ - 5*5² - 0)
= π (125 + 125/3 - 125 - 0)
= 125π /3 cubic units
Thus, the volume of the solid is 125π /3 cubic units
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What is the answer for
15 + x = 28
Answer: x = 13
Step-by-step explanation:
First you have to move 15+ to the other side to 28.Then when 15+ moves to the other side it will be 15-. After that you subtract 28 with 15 that will make 13. So x is equal to 13.
By numbers:
15+x=28
x=28-15
x=13
d 8, write the equation of the plane passing through p with normal vector n in (a) normal form and (b) general form.
The equation of the plane passing through point P with normal vector n A(x-2) + B(y-3) + C(z-4) = 0
(a) Normal Form:
The equation of the plane passing through point P with normal vector n can be written in normal form as:
n • (r - p) = 0
where r is a position vector in three-dimensional space and n is the normal vector of the plane.
Given n = (1,2,3) and p = (2,3,4).
Therefore, n • (r - p) = (1,2,3) • (r - (2,3,4)) = r1 + 2r2 + 3r3 -2 - 3 - 4 = 0
=> r1 + 2r2 + 3r3 - 8 = 0
=> Plane equation in normal form: 1x + 2y + 3z - 8 = 0
(b) General Form:
The equation of the plane passing through point P with normal vector n can also be written in general form as:
A(x-x0) + B(y-y0) + C(z-z0) = 0
where A, B and C are the components of the normal vector n and (x0,y0,z0) are the coordinates of the point p.
Given n = (1,2,3) and p = (2,3,4).
Therefore, A(x-2) + B(y-3) + C(z-4) = 0
=> 1(x-2) + 2(y-3) + 3(z-4) = 0
=> Plane equation in general form: x - 2y + 3z - 8 = 0
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Provide complete question here:Write the equation of the plane passing through p with normal vector n in (a) normal form and (b) general form.
HELP ASAP (BRAINLIEST)
The table shows the relationship between the participants walking and running for the week's cross-country practices.
Walk (laps) 3 B 15
Run (laps) 5 10 D
Total (laps) A C 40
At this rate, how many laps will the participants walk if the total distance is 24 miles? How many miles will they run?
They will walk 7 laps and run 17 laps for a total of 24 miles.
They will walk 15 laps and run 9 laps for a total of 24 miles.
They will walk 9 laps and run 15 laps for a total of 24 miles.
They will walk 6 laps and run 18 laps for a total of 24 miles.
Option C. They will walk 9 laps and run 15 laps for a total of 24 miles.
How to calculate for the tableThe table is given as Walk (laps) 3 B 15
Run (laps) 5 10 D
Total (laps) A C 40
The total for walk and run is 3 + 5 = 8
Walk is 3
Run is 5
We are to find the laps of both categories with respect to the total distance of 24 miles
for walk = 3/8 * 24
= 9
For run we would have 5 / 8 * 24 = 15
Hence They will walk 9 laps and run 15 laps for a total of 24 miles.
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What is the value of x in this triangle?
[tex]\huge\underline{\red{A}\green{n}\blue{s}\purple{w}\pink{e}\orange{r} →}[/tex]
83°Step-by-step explanation:
As it is a triangle , so we know that sum of all angles of a triangle = 180°
therefore,=> 44 + 53 + x = 180
=> 97 + x = 180
=> x = 180 - 97
=> x = 83°
______________________________Hope it helps you ~Can someone show the steps please and thank you
y=ax+3
y=3x+5
A solution to the given system of equations include the following:
x = -2.
y = -1.
How to solve this system of equations?In order to solve the given system of equations, we would apply the substitution method. From the information provided in the image attached above, we have the following system of equations:
y = 2x + 3 .......equation 1.
y = 3x + 5 .......equation 2.
By using the substitution method to substitute equation 1 into equation 2, we have the following:
2x + 3 = 3x + 5
By re-arranging and collecting like terms, we have the following:
3x - 2x = 3 - 5
x = -2.
For the value of y, we have the following:
y = 2x + 3
y = 2(-2) + 3
y = -4 + 3
y = -1.
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Water leaks from a tank at the rate of r(t) gallons per hour. The rate decreased as time passed, and values of the rate at two-hour time intervals are shown in the table below. The total amount of water that leaked out is evaluated by a Riemann sum. Find the upper estimate (left end-points of each rectangle) for the total amount of water that leaked out by using five rectangles.
Give your answer with one decimal place
t(hr) r(t) (gal/hr)
0 10.7
2 8.6
4 6.6
6 5.2
8 5.0
10 4.5
The upper estimate (left end-points of each rectangle) for the total amount of water that leaked out by using five rectangles is 72.2 gallons.
R(t) gallons per hour of water leak from a tank. The values of the rate at two-hour intervals are shown in the table below. As time went on, the rate decreased. A Riemann sum is used to determine the overall volume of water that has leaked out.
An integral representation of the rate function would be the amount of water. Estimation with the Riemann sum and left endpoints:
F(x) ≅ ∑f(xi-1)Δx where Δx=10/5 = 2 for this case and i = 1 to 5
W = (10.7 + 8.6 + 6.6 + 5.2 + 5.0)2
= 36.1•2
= 72.2 gallons
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Question 4Multiple Choice Worth 2 points)
(04.05 MC)
A chess player ran a simulation twice to estimate the proportion of wins to expect using a new game strategy. Each time, the simulation ran a trial of 1,000 games. The first
simulation returned 212 wins, and the second simulation returned 235 wins. Construct and interpret 95% confidence intervals for the outcomes of each simulation.
The confidence interval from the first simulation is (0.187, 0.237), and the confidence interval from the second simulation is (0.209, 0.261). For the first trial, we are
95% confident the true proportion of wins with the new game strategy is between 0.187 and 0.237. For the second trial, we are 95% confident the true proportion of
wins with the new game strategy is between 0.209 and 0.261.
The confidence interval from the first simulation is (0.187, 0.237), and the confidence interval from the second simulation is (0.209, 0.261). For the first trial, we are
90% confident the true proportion of wins with the new game strategy is between 0.187 and 0.237. For the second trial, we are 90% confident the true proportion of
wins with the new game strategy is between 0.209 and 0.261.
The confidence interval from the first simulation is (0.191, 0.233), and the confidence interval from the second simulation is (0.213, 0.257). For the first trial, we are
95% confident the true proportion of wins with the new game strategy is between 0.191 and 0.233. For the second trial, we are 95% confident the true proportion of
wins with the new game strategy is between 0.213 and 0.257.
The confidence interval from the first simulation is (0.191, 0.233), and the confidence interval from the second simulation is (0.213, 0.257). For the first trial, we are
90% confident the true proportion of wins with the new game strategy is between 0.191 and 0.233. For the second trial, we are 90% confident the true proportion of
wins with the new game strategy is between 0.213 and 0.257.
2
By constructing 95% confidence intervals for each simulation, we can be 95% confident that the true proportion of wins lies within the range of each interval.
What is Confidence Intervals?A confidence interval is a set of values that, given a specific level of certainty, are likely to include a population parameter like a mean or proportion.
The interval is derived using data drawn from a sample of the population and is frequently presented as a range of values with a 95% confidence level.
The probability that the range of values contains the genuine population parameter is quantified by the confidence level.
In the case of a 95% confidence interval, for instance, it means that 95% of the intervals would contain the real population parameter if we sampled the same population more than once and calculated a confidence interval each time.
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Find the domain and range of the function represented by the graph.
The function represented in Cartesian plane have the following features: Domain of function: - 4 ≤ x ≤ 2, Range of function: - 4 ≤ y ≤ 4. (Right choice: B)
How to determine the domain and range of a function
In this question we find the representation of a function on Cartesian plane. There are two important hints to answer this question:
Domain of the function is the set of x-values such that function exists. Range of the function is the set of y-values such that function exists.Then, by direct inspection we find the following results: Domain: - 4 ≤ x ≤ 2, Range: - 4 ≤ y ≤ 4.
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(CO 2) You flip a coin 3 times. The sample space is \{HHH, HHT, HTH, THH, HTT, THT, TTH. TTT\}. Which of the following is a compound event? A. You get exactly 2 tails B. You get exactly 3 tails C. This is not an event D. You get exactly 3 heads
A compound event is a combination of multiple simple events that can occur simultaneously or independently. When talking about coin flipping, the sample space is the set of all possible outcomes of the experiment, which in this case is flipping a coin 3 times. In this case, the sample space is {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}.
Option A, You get exactly 2 tails, is a compound event because it consists of three simple events, THT, HTH, and TTH. These events can happen independently of one another and therefore, it is a compound event.
Option B, You get exactly 3 tails, is not a compound event because it only consists of one simple event, TTT. This event is not a combination of other simple events and is, therefore, not a compound event.
Option C, This is not an event, is not a valid option as it is not a possible outcome.
Option D, You get exactly 3 heads, is also a compound event because it consists of one simple event, HHH. This event can happen independently of other simple events and it is, therefore, a compound event.
Hence, options A and D are compound events as they are a combination of multiple simple events that can happen independently or simultaneously.
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A soda company would like to replace the label on a can of soda with a radius of 2 and three fourths cm. If the label touches end to end with no overlap, what is the length of the label? Use 22 over 7 for π.
121 over 7 cm
121 over 14 cm
121 over 28 cm
121 over 56 cm
The length of the perimeter will be 121/7 cm.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that a soda company would like to replace the label on a can of soda with a radius of 2 and three fourths cm. The label touches end to end with no overlap.
Perimeter of a circle is the length of the boundary of the circle. It is given by : P = 2πrThe length of the label will be its perimeter. We can write -
P = 2πr
P = 2 x 22/7 x 11/4
P = 2 x 22/7 x 11/4
P = 22/7 x 11/2
P = 11 x 11/7
P = 121/7
Therefore, the length of the perimeter will be 121/7 cm.
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find the 100th derivative of P(x)=(x^5+x+x^7)^10 (1+x^2)^11 (x^3+x^5+x^7)
The 100th derivative of P(x) = (x+x⁵+x⁷)¹⁰(1+x²)¹¹(x³+x⁵+x⁷) will be zero.
What is a polynomial?An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
Given:
A polynomial,
P(x) = (x+x⁵+x⁷)¹⁰(1+x²)¹¹(x³+x⁵+x⁷).
To find the degree:
(x⁷)¹⁰(x²)¹¹(x⁷) = x⁹⁹.
The polynomial has a degree of 99.
If we think about it intuitively,
Therefore, if we were to multiply it all out,
the leading word would be x⁹⁹.
The term's first derivative is 99x⁹⁸,
followed by 99(98)x⁹⁷,
and 99(98)(97)x⁹⁶.
And finally,
the 99th derivative is 99×98×97×96×...4×3×3×2×1× (x⁰)
=99!
So, the 100th derivative will be zero.
Therefore, by the 100th derivative, all terms will cancel out.
100th derivative will be zero.
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HELP PLEASE 100 POINT WILL GIVE BRAINLIEST
Answer:
no clue sorry I was not able to help
Please help me out. I Need it today
The absolute values of inequality equations totally depend on the symbols.
x+1 = 3, x = 2x+1 > 3 , x > 2 x+1 < 3 , x< 2x+1 ≥ 3 , x ≥ 2 x+1 ≤ 3, x ≤ 2What is inequality?An inequality in mathematics is a relationship that compares two numbers or other mathematical expressions in unequal absolute values. By comparing the absolute valuesof two numbers on the number line, inequality is most frequently utilized. Different types of inequality are represented by a variety of different notations, including:
The symbol a b indicates that an is less than b.
A bigger value for a than a lesser value for b is indicated by the notation a > b.
a is not equal to b in either situation. These relationships are referred to be stringent inequalities since an is either strictly less than or strictly greater than b. Equivalence is not included.
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The area of a circle is 4/pi cm. What is the circumference in centimeters express your answers in terms of pi
Answer:
4 cm.
Step-by-step explanation:
Area = pi r^2, so:
pi r^2 = 4 / pi
(pi)^2 r^2 = 4
r^2 = 4/ (pi^2)
r = 2/pi
Therefore, the circumference
= 2 pi r
= 2* pi * 2/pi
= 4
The graph of (c•d)(x) is shown.
Plot a point at the ordered pair that represents (c•d)(4) on the graph of the combined function.
The ordered pair that represents (c•d)(4) on the graph of the combined function is (4, -12)
How to determine the graph of the ordered pair?From the question, we have the following parameters that can be used in our computation:
The graph
The function of the graph is a combined function (c . d)(x)
To calculate (c . d)(4), we trace the point x = 4 to the curve
So, we have
(c . d)(4) = -12
See attachment for the graph
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How do I do this I am stuck on this question please and thank you
At a grocery store, a sign says that if you buy three bottles of water, you will pay 1/4 of the regular price per bottle. Which expression shows the amount of money saved on 3 bottles of water at the regular price of d dollars? Select three correct expressions.
Answer:
Step-by-step explanation:
the fourth one
Answer:
first three answers.
Step-by-step explanation:
each bottle is 1/4d. so all three are 3*1/4d
how do you solve -2x=8
Answer:
All you have to do is divide by -2 on both sides. You're trying to get x by itself, so divide by a number by cancels itself out. Don't forget the negative sign as well, or else you'll be left with -x instead of just x. A positive number divided by a negative number will become negative.
-2x=8
x=-4
Kayden and his children went into a grocery store where they sell apples for $ 0.75 each and mangos for $2 each. Kayden has $20 to spend and must buy a minimum of 16 apples and mangos altogether . Also, he must buy no less than 16 apples. If represents the number of apples purchased and y represents the number of mangos purchased, write and solve a system of inequalities graphically and determine one possible solution .
The system of inequalities is:
x + y ≥ 16
x*0.75 + y*2 ≤ 20
And its graph can be seen below, there we can see that one possible solution is (14, 2)
How to write and solve the system of inequalities?
Let's define the variables:
x = number of apples.
y = number of mangos.
Kayden needs to buy not less than 16 items, so the first inequality is:
x + y ≥ 16
And he can spend at most $20, then:
x*0.75 + y*2 ≤ 20
The system of inequalities is then:
x + y ≥ 16
x*0.75 + y*2 ≤ 20
To graph it just graph the two lines and shade the region correspondent, for the first inequality shade the region above the line, for the second one shade the region below the line.
You should get.
The solution set is the region where both shaded areas intercept. Then a possible solution is:
x = 14
y = 2
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what is the angle (in degrees) north of east from the post office to the grocery store in centralburg? express your answer in degrees to two significant figures.
The angle θ measures 53.13⁰ with the east direction.
What is tangent of any angle?The tangent of an angle is a trigonometric function that is defined as the ratio of the side opposite the angle to the side adjacent to the angle in a right triangle. In other words, it is a measure of the steepness of a line that is tangent to a point on a function's graph and is represented by the symbol tan. It is one of the three main trigonometric functions, along with sine and cosine. The value of tangent is always positive in the first and fourth quadrants.
let the angle made be θ degree to the north of east from the post office to the grocery shop
so tan θ = p/b
where p is perpendicular , b is base of the triangle
so tan θ = 3/4
=> θ = 53.13 degree
so the angle θ measures 53.13⁰ with the east direction.
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Complete question :
what is the angle (in degrees) north of east from the post office to the grocery store in centralburg? express your answer in degrees to two significant figures.
When looking east, the angle is 53.[tex]13^{0}[/tex] degrees.
What does a tangent to any angle mean?
The ratio of a right triangle's side opposite to its side next to the angle is known as the tangent of an angle, which is a trigonometric function. It is a measurement of the steepness of a line that is tangent to a point on the graph of a function, and it is denoted by the symbol tan. One of the three primary trigonometric functions, together with sine and cosine, is it. In the first and fourth quadrants, tangent's value is always positive.
Let the angle formed between the post office and the grocery store be degrees to the north of east.
so tan θ = p/b
where p is perpendicular , b is base of the triangle
so tan θ = 3/4
=> θ = 53.13 degree
so the angle θ measures 53.13⁰ with the east direction.
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Complete question :
What is the angle (in degrees) north of east from the post office to the grocery store in centralburg? express your answer in degrees to two significant figures.