A man travel 3 miles, & turns left and travel
6 miles, then left agan and travels 8 miles.
How for is he from the starting point?.
A. 4
B. 7
C. 5
D. 9
Answers
If man travels "3-miles", turns left ,travel "6-miles", then turn left again travels "8-miles", then he is "7.8-miles" away from the starting point, No option is correct.
The man travel 3 miles straight, so we let the "starting-point" be (0,0),
So, the point after travelling 3 miles straight will be (0,3),
Next, he turns left and travels 6 miles(now facing downwards),
So, the coordinate becomes (6,3);
Next, he Turns left again(now facing right) and travels "8 miles" to the right .
So, the final-coordinate becomes (6, -5).
Now, we calculate the distance between the final point (6, -5) and the starting point (0,0) using the distance formula, which is the square root of the sum of squares of differences in "x" and "y" coordinates:
So, Distance = √((6-0)² + (-5-0)²),
⇒ Distance = √(36 + 25),
⇒ Distance = √61 ≈ 7.8 miles.
Therefore, The distance is approximately 7.81 miles, which is not present in any of the option, So, no option is correct.
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Related Questions
What is the area of a square whose original
side length was 2. 75 cm and whose
dimensions have changed by a scale factor
of 4?
Answers
The area of the square, after a scale factor of 4, is 44 square cm.
To find the area of the square after the dimensions have changed by a scale factor of 4, we need to determine the new side length and calculate the area using that length.
The original side length of the square is given as 2.75 cm. To find the new side length after scaling up by a factor of 4, we multiply the original length by 4:
New side length = 2.75 cm * 4 = 11 cm
Now, we can calculate the area of the square by squaring the new side length:
Area = (New side length)^2 = 11 cm * 11 cm = 121 square cm
Therefore, the area of the square, after a scale factor of 4, is 121 square cm.
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Use The image to the right to answer Questions 1 - 4
1. Name two points collinear to point D.
2. Give another name for line p.
3. Name the intersection of line r and plane K.
4. Name a point non-coplanar to plane K.
Answers
Considering the given line and plane, it is found that:
1. Points E and F are colinear to point D.
2. Another name for line p is line AB, as these two points form the line.
3. The intersection of line r and plane K is at point X.
4. One point non-coplanar to plane K is of W.
Item 1Two points are colinear if they belong to the same line. In the context of this problem, points D, E and F belong to line q, hence points E and F are colinear to point D.
Item 2
Given two points, there is only one line that can pass through these points. Line p in this problem is composed by points A and B, hence the line can also be called line AB.
The intersection of a plane and a line is at a single point, and the point of line r that is coplanar to plane K is point X, hence it is the intersection of the line with the plane.
Item 4
A point is coplanar to a plane when the point belongs to the plane. In this problem, points W and Y do not belong to plane K, hence both are non-coplanar to plane K.
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A pyramid-shaped hip roof is a good choice for a house in an area with many hurricanes. What is the volume of the roof to the nearest tenth of a foot? What is the volume of the entire house, including the roof?
Answers
The volume of the roof is 10667 cube feet and the volume of the entire house, including the roof, is 58667 cube feet.
How to find the volume of the composite figures?To find the volume of the composite figures, follow the steps listed below:,
Separate the figure.Calculate the volume of each figure by which the composite figure is made of.Add the volume of all the individual figures to get the total volume of composite figures.A pyramid-shaped hip roof is a good choice for a house in an area with many hurricanes. The volume of the roof is:
\(V=\dfrac{1}{3}(\text{length x width x height})\\V=\dfrac{1}{3}40\times40\times20\\V\approx10667\rm\; ft^3\)
The volume of the room is:
V=length x width x height
V=40 x 40 x 30
V=48000 ft³
The volume of the entire house, including the roof, is,
V=10667+48000
V=58667 ft³
Thus, the volume of the roof is 10667 cube feet and the volume of the entire house, including the roof, is 58667 cube feet.
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convert slope intercept y=-2x-9 into standard form
Answers
Standard form is ax + by = c
given y = -2x - 9
add 2x to both sides to isolate variables
2x + y = -2x + 2x -9
Simplify
2x + y = -9 In standard form
pls help if you can asap!!!!
Answers
Answer: x= 6
Step-by-step explanation:
Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.
You can see they do not look the same so they add up to equal 180
12x + 3 +105 = 180
12x + 108 = 180
12x = 72
x = 6
assuming we know σ=5.5, construct a 85.0 percent confidence interval for the true population mean, μ, given that a random sample of 94 values was noted to have x¯=85.0.
Answers
The confidence interval is (84.41, 85.59), meaning that we are 85.0% confident that the true population mean, μ, lies between 84.41 and 85.59
How to construct the confidence intervalA 85.0% confidence interval for the true population mean, μ, can be constructed using the following formula:
x¯ ± (Zα/2 * σ/√n)
where
x¯ is the sample mean (85.0), Zα/2 is the critical value for a given confidence level σ is the population standard deviation (5.5)n is the sample size (94).Using the Z-score table for a confidence level of 0.85, we have
Zα/2 = 1.040.
Substitute the known values in the above equation, so, we have the following representation
CI = 85.0 ± (1.040 * 5.5/√94)
Evaluate
CI = 85.0 ± 0.59
This gives
CI = 84.41 to 85.59
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What does X equal. PLEASE HELP!!!
Answers
Answer:
x= 5
Step-by-step explanation:
13 x =65
Answer: x=5
Step-by-step explanation: First add the two x values to make 13x-11=54, then add 11 to both sides to get 13x=65, finally divide by 13 on both sides to get x = 5.
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The equation d = m can be used to calculate the density, d, of an object with mass, m, and volume, V. Which is
an equivalent equation solved for V?
dm = V
d/m = V
m/d = V
m - d = V
Answers
The balance of an investment account is $308.32
greater than the balance 4 years ago.
The current balance is $4708.57.
What was the balance 4 years ago?
Answers
The balance was $4400.25 before 4 years.
What is an Equation?An equation is a mathematical statement formed when two expressions are equated using an equal sign.
The equations are useful in the determination of unknown parameters.
The equations are of various types, such as Trigonometric equations, and quadratic equations.
The balance of an investment account is $308.32
Let the balance 4 years ago was $x
Then the balance today is represented by x + 308.32
The current balance is $4708.57
The expressions can be equated to get the value of the balance 4 years ago.
x + 308.32 = 4708.57
x = 4708.57 - 308.32
x = $4400.25
The balance 4 years ago was $4400.25
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There are 30 total apples of red and 6 total apples of yellow what is the percentage of yellow apples of
Answers
Answer:
20%
Step-by-step explanation:
30:6=5
yellow apples - 1/5 of 30
20x5=100
20%/30=6
the law of diminishing marginal product helps to explain why supply curves are generally upward sloping.
true or false
Answers
The given statement, "The law of diminishing marginal product helps to explain why supply curves are generally upward sloping," is false (F) because it suppose to be the law of supply, not the law of diminishing.
The statement is indeed false because it confuses the law of diminishing marginal returns with the law of supply. The law of diminishing marginal returns states that as more units of a variable input are added to a fixed input, the marginal product of the variable input will eventually decrease. This law is important in production theory but has no direct relationship with the shape of supply curves.
On the other hand, the law of supply states that as the price of a good or service increases, the quantity supplied by producers will also increase. This is due to the fact that producers are willing to produce more at higher prices in order to maximize their profits.
Therefore, the upward slope of supply curves is a result of the law of supply, not the law of diminishing marginal returns.
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Help is appreicated! (10 points!)
Answers
Answer:
5
Step-by-step explanation:
5
Which of the following is not an advantage of renting? a. Ease of mobility b. Fewer responsibilities c. Lower initial costs d. Restricted lifestyle Please select the best answer from the choices provided A B C D.
Answers
A restricted lifestyle is not an advantage of renting.
Option D is the correct answer.
What is renting?Renting a property has several advantages, such as ease of mobility, fewer responsibilities, and lower initial costs.
We have,
Ease of mobility is an advantage because it is easier for renters to move to a new location since they are not tied down to a specific property.
Fewer responsibilities are another advantage because the landlord is usually responsible for maintaining the property, making repairs, and paying for utilities.
This means that renters do not have to worry about these tasks or expenses.
Lower initial costs are also an advantage because renters do not have to pay for a down payment or closing costs, which can be a significant expense when purchasing a property.
A restricted lifestyle is not an advantage of renting.
This is because renters may be limited in terms of decorating, making changes to the property, or having pets.
Renters may also have to abide by certain rules set by the landlord or property management company.
This can limit their freedom and personalization of the space.
Thus,
A restricted lifestyle is not an advantage of renting.
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The circumference of a circle is C centimeters. The diameter of the circle is 13 centimeters.
Which expression best represents the value of pi?
A. C/6. 5
B. 6. 5/C
C. C/13
D. 13/C
Answers
The diameter of the circle C/13
The formula provides the circumference of a circle.
The circumference of any shape in mathematics designates the path or limit that surrounds the shape. In other words, the circumference, sometimes referred to as the perimeter, aids in figuring out how long the contour of a shape is. The size and perimeter of a circle are, as we all know, its two most important properties.
C = pi * d, where d is the diameter and c is the circumference.
C = pi * 13 gives the diameter as 13.
Subtract 13 from each side, C/13 = d.
Dimensions are C/13.
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Which system of inequalities is graphed below?
Answers
System of inequalities are :
y> \(x^{2} -4\) and y > \(x^{2} +3\)
What is inequality ?Inequality, A mathematical statement expressing an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal toThe occurrence of an unfair and/or unequal distribution of opportunities and resources among the people that make up a society is referred to as inequality. To different people and in various settings, the word "inequality" may indicate different things.Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics.To learn more about : Inequalities
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4y + 3y + 2y =
please help. Thank you.
Answers
Answer:
9yStep-by-step explanation:
4y + 3y + 2y
= 4y + 5y
= 9y (Ans)
In a recent election, 63% of all registered voters participated in voting. In a survey of 275 retired voters, 162 participated in voting. Which is higher, the population proportion who participated or the sample proportion from this survey?
Answers
The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).
To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.
The population proportion who participated in voting is given as 63% of all registered voters.
This means that out of every 100 registered voters, 63 participated in voting.
In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.
Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .
Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).
Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.
It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.
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his question has two parts. Be sure to answer both parts of the question.
PART A
An online music store sells songs on its website. Each song is the same price. The
Create an equation to represent the relationship between the total cost, c, and the n
Enter your equation in the box below.
1
个
8
2 3
+
%
Answers
A. An equation to represent the relationship between the total cost and the number of songs purchased is c = 1.25s.
B. At this rate, 20 songs can be purchased for $25.
How to create an equation for the total cost?Assuming the variable x represent the price of each song, we have the following:
8x = 10
x = 10/8
x = 1.25
Therefore, the price of each song is equal to $1.25.
Part A.
In this context, an equation that shows the relationship between the total cost (c) and the number of songs (s) sold by this online music store can be determined as follows;
c = xs
c = 1.25s
Part B.
At this rate, the number of songs that can be purchased for $25 can be determined as follows;
c = 1.25s
25 = 1.25s
s = 25/1.25
s = 20 songs.
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Complete Question:
An online music store sells songs on its website. each song is the same price. The cost to purchase 8 songs is $10.
A. Create an equation to represent the relationship between the total cost, c, and the number of songs, s, purchased.
B. At this rate, how many songs can be purchased for $25
A girl has 11 coins in dimes and quarters. Their value is $1.55. How many quarters does she have?
8
3
5
Answers
Answer:
3
Step-by-step explanation:
pretty simple if she has 8 it wouldnt make sense
5 that means shell have 6 simed with $1.25 worth of money
sooooooooo yeah
Consider the two triangles. Triangles A B C and T R S are shown. Sides A C and T S are congruent. Sides T B and R S are congruent. If RT is greater than BA, which statement is true? By the converse of the hinge theorem, mAngleC = mAngleS. By the hinge theorem,TS > AC. By the converse of the hinge theorem, mAngleS > mAngleC. By the hinge theorem, BA = RT.
Answers
Answer:
its c
Step-by-step explanation:
By the converse of the hinge theorem, mAngleS > mAngleC.
By the converse of the H. theorem, the statement that is true about the triangles is mAngleS > mAngleC.
What is converse of the H. theorem?The Converse H. Theorem explains that if two different triangles have two of their sides to be congruent to each other, having third side of the first triangle longer to the third side of the second triangle.
Then it can be deduced that the first triangle will have its included angle larger compare to the second triangle.
Hence, since Sides A C and T S are congruent and RT is greater than BA, then base on the defined theorem, mAngleS > mAngleC.
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i need help asap! anyone know this?
Answers
Answer:
1 = 0
12x12 = 4
100=1
I think the last one is also 1
Step-by-step explanation:
The 8 in both sides gets cancelled out.
x=0
100^x=100
The hundred in both sides gets cancelled out.
x=1
12^x times 12^4=12^8
When the bases (numbers) are same and are multiplied together, you add the powers together.
12^x+4=12^8
The 12 in both sides get cancelled out.
x+4=8
x=8-4
x=4
(7^2)^9=7^3)^x
When there are powers both inside and outside the brackets, they’re multiplied with each other.
7^18=7^3x
The seven in both sides gets cancelled out.
18=3x
3x=18
x=18/3
x=6
Need help ASAP find the value of x in the triangle below
Answers
Answer:
x = 12
Step-by-step explanation:
Creating an equationAngles in a triangle add up to 180 degrees.
This means that 6x - 19 + 3x + 7 + 84 = 180
Solving for x6x - 19 + 3x + 7 + 84 = 180
==> combine like terms
9x + 72 = 180
==> subtract 72 from both sides
9x = 108
==> divide both sides by 9
x = 12
Suppose you are planning a ward party. Last year, there was a similar activity and 150 people attended. If the ward has grown by 9%, how many people do you expect will attend this year? (Round your answer to the nearest whole number.)
Answers
Answer:
164 people
Step-by-step explanation:
100% represents the 150 people who attended last year.
this year , there is an increase of 9% , which will make the total percentage to be 109%.
if ; 100% = 150 people
109% = ?
cross multiply to get 163.5 the round off to get 164
Can you help me on this?
Answers
Answer:
Out of curiosity, what is making this problem difficult?
Step-by-step explanation:
initially there are 20 rabbits, so the '?' is asking for that
Write the word sentence as an equation.
5 is one-fourth of a number c. PLEASE HELP
Answers
Which of the following describes the solution to the equation c²+2c-4-1-2c? O-5 is an extraneous solution, and 1 is a true solution. O-5 is a true solution, and 1 is an extraneous solution. O Both -5 and 1 are true solutions. O Both -5 and 1 are extraneous solutions.
Answers
Both -5 and 1 are extraneous solution to the equation
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x ax2+bx+c=0. with a ≠ 0 . Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
c²+2c-4-1-2c = 0
c²+2c-2c -4-1 = 0
c²-5 = 0
Therefore both -5 and 1 are extraneous solution in the equation.
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Please help I don’t know how to answer !!!
Answers
A stack of 3 books weighs 7.8 kilogramh book weighs the s. If eacsame amount, how much does each book weigh?
Answers
Answer:
they each way 2.6 kilograms
if sam can type 384 words in 12 minutes, how many words can sam type in 5 minutes?
Answers
Answer:
160 words
Step-by-step explanation:
Diagram 5 shows a semicircle with centre O.It is given that the arc length of PQ=9cm and the perimeter POQ=19cm. Calculate value of Ø in degree
Answers
Given:
The perimeter is 19 cm.
Acr length is 9 cm.
The perimeter of circle is calculated as,
\(\begin{gathered} \text{Perimeter POQ=PO+OQ+length of PQ} \\ 19=r+r+9 \\ 10=2r \\ r=5 \end{gathered}\)The arc length is calculated as,
\(\begin{gathered} \text{Arc length =}\theta\times\frac{\pi}{180}\times r \\ 9=\theta\times\frac{\pi}{180}\times5 \\ 9=\theta\times\frac{\pi}{36} \\ \theta=103.13 \\ \theta\approx103^{\circ} \end{gathered}\)Answer:
\(\theta=103^{\circ}\)