2. WALKING Laura starts at the origin. She walks 8 units to the right and then 12 units up. How far away from the origin is she? Round your answer to the nearest tenth

Answers

Answer 1

Final answer:

Laura is approximately 14.4 units away from the origin after walking 8 units to the right and 12 units up, found by applying the Pythagorean theorem.

Explanation:

The question asks how far Laura is from the origin after walking 8 units to the right and 12 units up. To solve this, we can use the Pythagorean theorem, which is a fundamental principle in geometry that deals with the lengths of sides in a right-angled triangle. Here, we consider Laura's walk as the two perpendicular sides of a triangle, with her movement to the right representing the horizontal side (8 units) and her movement upwards representing the vertical side (12 units).

To find the distance (hypotenuse) from the origin, we apply the Pythagorean theorem as follows:

Calculate the square of both the horizontal and vertical distances: 8^2 = 64 and 12^2 = 144.Add the squares of the two sides: 64 + 144 = 208.Take the square root of the sum to get the hypotenuse: sqrt(208) ≈ 14.4 units.

Hence, Laura is approximately 14.4 units away from the origin, rounded to the nearest tenth.

Related Questions

What is 8kg-6.075kg=?

Answers

The answer is 1.92500 kg

Mrs. Cox and Mr. Jones are in charge of the work-study program for Oak High School. Each teacher is in charge of supervising 10 students. They are comparing statistics for the two groups of students based on the hours worked per week. Which statement is true?

A) The mean for Mrs. Cox is greater than the mean for Mr. Jones.

B) The median for Mr. Jones is greater than the median for Mrs. Cox.

C) The median for Mrs. Cox is greater than the median for Mr. Jones.

D) The Interquartile Range for Mrs. Cox is greater than the Interquartile Range for Mr. Jones.

Answers

I think it’s D but not sure

Answer:

B I think

Step-by-step explanation:

Explain: every equilateral triangle is isosceles, but not every isosceles triangle is equilateral

Answers

okay, in isosceles triangle two sides are equal and in equilateral triangle all sides are equal.
so in a equilateral triangle amy two sides can be equal, but in isosceles triangle all the three sides can't be equal.

By definition an isosceles triangle has AT LEAST 2 equal sides and AT LEAST 2 equal angles. In an equilateral triangle, all 3 sides and angles are equal. Since 3 is at least 2, an equilateral triangle is also an isosceles triangle. An isosceles triangle does not have to have 3 equal sides and angles (which is equilateral), so that means an isosceles triangle may not be equilateral.

the ratio of plates to napkins is 3:12. what is the ratio in simplest form

Answers

The ratio in simplest form would be 1:4 because 3*1 = 3 and 3*4=12

Pls help me lots of points

Answers

3 Treats total: 2 m&ms and 1 hershey's bar

Answer:

2 m&ms and 1 hershey's bar

Step-by-step explanation:

Please help I’m doing functions

Answers

-5(3)+13
-15+13= -2

Hope this helps

Name a fraction that is less than or greater than the given fraction draw to justify your answer

Answers

There is no fraction given.

an art easel with equal sides are opened and placed on a desk, classify the type of triangle formed by the easel and the desk

Answers

It would be an isosceles triangle, an easy way to remember this is to think of an ice cream cone (ISO ICE word play helps) because an ice cream cone has two long sides and one short one.

How many millimeters are in 20 meters

Answers

Hello there!

1 meter = 1000 millimeters
20 meters = 1,000 × 20 millimeters
= 20,000 mm

20,000 millimeters are in 20 meters.
Hope this helped! :)

20,000millimeters
that is the answer good luck

[tex](4y + 4x) = [/tex]
What is the sum of y and x

Answers

Simplifying
4x + 4y = 0

Solving
4x + 4y = 0

Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.

Add '-4y' to each side of the equation.
4x + 4y + -4y = 0 + -4y

Combine like terms:
4y + -4y = 0
4x + 0 = 0 + -4y
4x = 0 + -4y

Remove the zero:
4x = -4y

Divide each side by '4'.
x = -1y

Simplifying
x = -1y

Find the outlier of the set of data: 80, 71, 75, 69, 74, 17, 82 A. 82 B. 81 C. 74 D. 17

Answers

D: 17, it is further from the mean than any other number by far.

maurice has a string that is 15 inches long. he has beads that are 3 inches long. how many beads will fit on the string?

Answers

5 beads because if we divide 15 by 3 we get 5

5 beads will fit because 5x3 is 15. He can fit 15 beads in total

Percy buys tomatoes that cost $0.58 per pound. He pays $2.03 for the tomatoes. Part 1 out of 3 Percy estimates he bought 4 pounds of tomatoes. Is Percy's estimate reasonable? Complete the explanation.

Answers

Percy probably made his estimate by rounding 0.58 per pound to 0.50, and rounding 2.03 for the price to 2.00. The 2.00/(0.50/lb) = 4 lb.

Percy's estimate is not unreasonable, but it is somewhat high (by more than 10%).

The cost, 0.58/lb, is closer to 0.6, a number that would cause Percy to estimate his purchase at 20/6 = 3 1/3 pounds.

When estimating, it is often useful to make an estimate of the error. This last estimate will be a little low, by about 3% due to the estimated cost and 1.5% due to the estimated total amount paid, for a total of about 4.5% low.

Find the value of x. Round to the nearest tenth
16.4
14
11.5
34.9

Answers

x = 20*sin(35°) ≈ 11.5 . . . . . . . . the 3rd selection is appropriate

Given , A right angled triangle with an interior angle measuring 35 and a side measuring 20.

To calculate the value of x, we use the trigonometric ratio.

We have been given the measurement of hypotenuse and have to find the measurement of the opposite side of angle 35. Here we use sine ratio to find the measurement of opposite side.

[tex] sin (\theta) = \frac{opposite}{hypotenuse} [/tex]

measurement of hypotenuse = 20 and [tex] \theta [/tex] = 35,

[tex] sin(35)=\frac{x}{20}\\\\x=20 \times sin(35)\\\\ value\: of \:sin (35) = 0.57\\\\x= 20 \times 0.57 = 11.48 \approx 11.5 [/tex]

Hence , value of x = 11.5

simplify the expression Write your answer as a power.

Answers

The answer is c to the fourth power.

Morty buys and sells computer parts he bought two monitors for $25 each and later sold them for 88 each he bought four cases for $15 each and later sold them for $24 each if you buy five memory modules for $20 each and later sold them for $55 each

Answers

Final answer:

Morty earns a total profit of $337 from buying and selling monitors, cases, and memory modules by calculating the individual profits for each transaction and summing them up.

Explanation:

The question is asking for a calculation of the profit Morty makes on buying and selling computer parts. There are three transactions to consider:

Morty buys two monitors for $25 each and sells them for $88 each.He buys four cases for $15 each and sells them for $24 each.He buys five memory modules for $20 each and sells them for $55 each.

To find the total profit, we calculate the profit for each transaction:

Profit from monitors: (2 * $88) - (2 * $25) = $176 - $50 = $126Profit from cases: (4 * $24) - (4 * $15) = $96 - $60 = $36Profit from memory modules: (5 * $55) - (5 * $20) = $275 - $100 = $175

Then we sum these individual profits for the total profit:

Total profit = $126 + $36 + $175 = $337

The total profit that Morty makes from buying and selling these computer parts is $337.

Final answer:

Morty made a profit of $126 on the monitors, $36 on the cases, and $175 on the memory modules.

Explanation:

Morty bought two monitors for $25 each, costing him a total of $50. He later sold them for $88 each, earning a total of $176. He bought four cases for $15 each, costing him a total of $60. He later sold them for $24 each, earning a total of $96.

He also bought five memory modules for $20 each, costing him a total of $100. He later sold them for $55 each, earning a total of $275.

In summary, Morty made a profit of $126 on the monitors, a profit of $36 on the cases, and a profit of $175 on the memory modules.

????????????????????????

Answers

The parallelogram ABCD is translated 7 units to the left to create A'B'C'D'.

Hope this helps :)

Tony Hawk was the first skateboarder to do a “900,” a rotation of 900°. How many times did he rotate on the skateboard? times 8. Each arm of this pinwheel is the image of another arm rotated

Answers

1 complete circle = 360 degrees

900 / 360 = 2.5 rotations

900 / 360 = 2.5 rotations

How much popcorn would each person get if 3 people shared 1/3 of a bag of popcorn

Answers

they would get a 1/9 because you'd divide 1/3 divided by 3

Hey there!

To solve this divide 1/3 and 3 . . .

1/3 divided by 3 = ?

1 x 1 = 1

3 x 3 = 9

Your answer is 1/9.

Each person would get 1/9 of a bag of popcorn if 3 people shared 1/3 of a bag of popcorn.

Hope this helps you.
Have a great day!

A three dimensional object was sliced parallel to its base and the result was a triangular cross-section.The same shape resulted from slicing the object perpendicular to its base.What three dimensional object fits this description?

Answers

Answer:

The answer is below!

Step-by-step explanation:

Final answer:

A cone is the three-dimensional shape that gives a triangular cross-section when sliced either parallel or perpendicular to its base.

Explanation:

The three-dimensional shape that fits the description of producing a triangular cross-section when sliced both parallel and perpendicular to its base is a cone.

A cone is a solid that has a circular base and a single vertex. When a cone is sliced parallel to its base, the cross-section is a circle. When a cone is sliced perpendicular to its base, the cross-section is a triangle, specifically a right triangle. The right triangle results from the slice passing through the vertex and the base of the cone.

Learn more about Cone here:

https://brainly.com/question/10670510

#SPJ11

Please help (click to veiw photo)

Answers

m - n
m = 300x + 100, so we substitute that into the equation for m.
300x + 100 - n
n = 250x + 200, so we substitute that into the equation for n.
300x + 100 - 250x - 200
Subtract the 250x to get:
50x + 100 - 200
Subtract the 200 to get:
50x - 100, which is option D.
Hope this helps!

What do < and > stand for? P.S the underscores below the greater and less

_ _ are apart of the question.

Answers

Hey there!

The greater than and less than signs with the lines under them mean "Greater than or equal to" and "Less than or equal to."

Hope this helped, have a good one :)

Those signs mean “Greater than” or “Less than” and they are called inequalities. Hope that helps!

wich is greater 8kg or 30 oz

Answers

8kg, Because 8kg in oz is 282

Well all you got to do is convert kg to oz
1kg= 35.2739619
so 8*35.2739619 would be 282.191695

Doug has 5 hours to make an on time delivery 273 miles away if Doug Drives 55 miles per hour will Doug make the delivery dead line explain

Answers

55 miles per hour x 5 hours = 275 miles

275 > 273 so he will make it in time

XXVI – IV math help hard roman NUMERALS

Answers

XXVI is 26
IV is 4.

26-4 = 22

22 is XXII in roman numerals.

Hope this helps :)

X=10, V=5, I=1

XXVI=26
VI=6

XXVI-VI=20

HELPPP PLEASE DUE NOW

Answers

The angles that are 105º and (13x + 66)º are the same amount.
105 = 13x + 66
Subtract 66 from each side
39 = 13x
Divide each side by 13
3 = x

Now for z.
Since two equal angles equal 105º each, multiply it by 2 to get 210.
The whole thing is 360º.
360 - 210 = 50
Divide it by 2 to get one of the angles
50 / 2 = 25
z = 25º

Hope this helps!

The area of a rectangular knitted blanket is 15x2-14x-8. What are the possible dimensions of the blanket? Use factoring.

Answers

The answer for that equation would be 2-5x and 3x +4

Final answer:

The area of a rectangular blanket is 15x² - 14x - 8, and by factoring this expression, we find the possible dimensions to be (5x + 2) units by (3x - 4) units. The variable x represents a dimension and must be a positive value so that the actual dimensions are also positive.

Explanation:

The student is asking about the possible dimensions of a rectangular knitted blanket whose area is given by the polynomial 15x² - 14x - 8. To find the dimensions of the blanket, we need to factor this quadratic expression. Factoring is the process of breaking down a complex expression into simpler ones that, when multiplied together, give the original expression.

Let's factor the given expression:

Find two numbers whose product is 15 (coefficient of x²) multiplied by -8 (constant term) and whose sum is -14 (coefficient of x). These numbers are -20 and +6.Rewrite the middle term (-14x) using the numbers found: 15x² - 20x + 6x - 8.Factor by grouping: (15x² - 20x) + (6x - 8) = 5x(3x - 4) + 2(3x - 4).The expression can now be factored as (5x + 2)(3x - 4).

The factored form suggests that the rectangle's dimensions could be (5x + 2) units by (3x - 4) units, where x is a variable representing one of the dimensions. However, since the values of x need to make physical sense in the context of a blanket's size, x will need to be a positive value such that (5x + 2) and (3x - 4) are also positive.

if side a=22.3 and angle b=47 ,find c.
A.24.6
B.25.1
C.31.5
D. 32.9

Answers

Answer:

D. 32.9

Step-by-step explanation:

Rewrite the set
F

by listing its elements. Make sure to use the appropriate set notation.

=
F
x
x

is an integer and
<
−
2
≤
x
2

Answers

I believe that F and 2 are both integers.

write two division equations for 16 times 7/8 = 14

Answers

Two division equations for 16 times 7/8=14 are:
14/(7/8)=16
14/16= 7/8
The reason that these equations work is because the inverse operation of multiplication is division. Any factors of the the multiplication equation can divide the product by the factor and the answer would be the other factor. Example:
AB=C
C/B= A
C/A=B
The product always has to be the first Number of the equation while either factor follows.

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