A plane travels south for 120 km. The plane then travels north for 45 km.

If north is taken as the positive direction, what is the displacement of the plane?

a. 75 km
b. –75 km
c. 165 km
d. –165 km

Answers

Answer 1

Answer:

b. -75

Step-by-step explanation:

It is already stated in the problem that north direction is positive. Hence, south is negative.We take 120km south to be -120km.Then, travelling north by 45km.We then add the two: -120km + 45km = -75km

Related Questions

Which are correct statements regarding proofs? Select three options.

In a paragraph proof, statements and their justifications are written in sentences in a logical order.
A two-column proof consists of a list statements and the reasons the statements are true.
A flowchart proof gives a visual representation of the sequence of steps without justifications.
A flowchart proof is a visual way of describing the statements and reasons for a proof.
A two-column proof lists only the given information and what is to be proven

Answers

Three correct statements connoting proofs are:

In a paragraph proof, statements and their justifications are written in sentences in a logical order. A two-column proof consists of a list statements and the reasons the statements are true. A flowchart proof gives a visual representation of the sequence of steps without justifications.

What is a proof statement?

A proof statement simply refers to a particular statement unleashing evidences and points that prove a claim to be true. The three major types of proof are:

Flowchart proofParagraph proofTwo-column proof

In conclusion; a proof statement is a statement which convinces that a claim is absolutely true.

Learn more about proof statement:

https://brainly.com/question/1788884

Answer:

A: In a paragraph proof, statements and their justifications are written in sentences in a logical order.

B: A two-column proof consists of a list statements and the reasons the statements are true.

D: A flowchart proof is a visual way of describing the statements and reasons for a proof.

I need helppp badd pleaseeeee

Answers

Answer:

it shows the unit rate of the graph per hour.


Coffee costs $3.59 per pound. How much would 5.7 pounds of coffee
cost?

Answers

Answer:

20.463

Step-by-step explanation:

3.59x5.7

5.7 pounds of coffee would cost  $20.463.

What is simplification?

When a mathematical expression is converted into an equivalent, typically shorter statement, it becomes simpler. Procedure simplification is one method to encourage uniformity in work effort, expense, and duration. It reduces diversity and variation that is detrimental, pointless, or unnecessary.

Given, Coffee costs $3.59 per pound. Since,

1 pound of coffee costs = 3.59$

5.7 pounds of coffee costs = 3.59 * 5.7

5.7 pounds of coffee costs = 20.463

Therefore, $20.463 would be the cost of 5.7 pounds of coffee.

Learn more about simplification here:

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PLEASEEEEEE!!!!!!!!! 7TH GRADE!!!! FIND SURFACE AREA!!!!!!!ASAP!!PLEASE T^T!!!!

Answers

Answer:

It is 390.5 (volume, not surface area)

Step-by-step explanation:

Use the slope formula to find the slope of the lie with these points.
(8, 10), (-7, 14)

Answers

The y and the x would be -7 and 14

(the difference of d minus 3 divided by 2)

Answers

Answer:

(d-3)/2

Step-by-step explanation:

Given:

A number "d" Subtract by 3

So,

⇒ (d-3)

Product is divided by 2

So,

⇒ (d-3)/2

Mr. Stubbert wants to buy a $520 sword, and he has a coupon for 15% off.
Select each expression that will determine how much will he pay.
PLEASE NOW!

Answers

Answer:

442

Step-by-step explanation:

What is the distance, in units, between the points (-4,5) and (8,0) in the
standard (x,y) coordinate plane?

Answers

Answerrrrrrrrrrrrrrrr isssssssss: 5.38

Solve x-34=78 find the value of x

Answers

Answer:

112 is the answer

Step-by-step explanation:

to find the value of x, you need to add both the numbers 34 and 78 to find x.

Answer:

x=112

Step-by-step explanation:

x=78+34

(here the 34 passes to the other side, and because it is substracing, you pass it adding)

x=112

sonya has a bag with 4 green marbles, 7 orange marbles and 9 blue marbles. She randomly selects one marble, does not replace it and then selects another marble. What is the probability that sonya will pick two blue marbles?

Answers

What’s the answer choices?

at a sale, dresses sold for 22.00 each. This price was 55% of a dress's original price.

Answers

Answer:

22.00x55%=12.10. 22-12.10=9.90

Answer:

$40

Step-by-step explanation:

22/55 = dollar per percent

dollar per percent = 0.4

0.4 x 100 will equal to 100% of the original price

0.4 x 100 = 40

to check, 40 x 55% = 22

In the diagram, triangle QRS is congruent to triangle XYZ. Find the measure of angle R. ​

Answers

Answer:

the correct answer is C. 75°

The value of ∠R = 75⁰

What are congruent triangles?

The measurements of the sides and angles of two or more triangles determine whether they are congruent. A triangle's size is determined by its three sides, and its shape is determined by its three angles. If the pairs of their corresponding sides and angles are equal, two triangles are said to be congruent.

Given ΔQRS ≅ ΔXYZ

for congruency the sides and angle of both the triangles should be equal so for  ΔQRS and ΔXYZ ; QR = XY, QS = XZ, and RS = YZ and

∠Q = ∠X, ∠S = ∠Z and ∠R = ∠Y

from figure ∠Q = ∠X = 55⁰, ∠S = ∠Z  = 50⁰

sum of angle of triangle is 180⁰,

∠Q + ∠S + ∠R = 180⁰

∠R  = 180 - 55 - 50

∠R  = 75⁰

Hence ∠R  = 75⁰

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AABC is rotated 90° clockwise to create AA'B'C'. Which of the following transformations would also map B to B'?
Select all that apply.
r (x, y) + (x – 6,y)
= 270º counterclockwise rotation
reflection over the r - axis
(x,y) → (2x, 2y)
r reflection over the y -axis
90° counterclockwise rotation

Answers

Answer:

the 3rd and 5th one

Step-by-step explanation:

Write a positive or negative integer that represent the situation?

Answers

Answer:

A or -24

Step-by-step explanation:

if your in debt its -24

Given the Vertex (1,0) and the Directrix y = -¼, find the equation of the quadratic




(x - 1)2

(x + 5)2

2(x - 1)2

-x2 - 1

Answers

Answer:

y = (x - 1)²

Step-by-step explanation:

A parabola is the locus of a point such that its distance from a fixed point (known as the focus) and a fixed line (known as the directrix) is always constant. The equation of a parabola is a quadratic equation.

The equation of a parabola with a horizontal directrix is given by:

(x - h)² = 4p(y - k).

Where the directrix (y) = k - p, vertex = (h, k)

Given that:  Vertex (1,0) and the Directrix y = -¼, Therefore:

vertex = (h, k) = (1, 0). h = 1 and k = 0.

y = k - p

but y = -1/4. Hence:

-1/4 = k - p

p = k + 1/4

p = 0 + 1/4

p = 1/4

Since the equation of the parabola is:

(x - h)² = 4p(y - k).

Substituting:

(x - 1)² = 4(1/4)(y - 0)

(x - 1)² = y

y = (x - 1)²

y = x² - 2x + 1

The expression (x-5)^2 is equivalent to...

Answers

Answer:

option a x²-25

Step-by-step explanation:

(x-5)²

x²-25


Angie traveled 240 miles in the first 30% of her road trip. At this rate,
how long will the trip be all together?
+
+
o
200
+
o
10
20
30

Answers

Answer:

the trip would be 800 miles all together

Step-by-step explanation:

if you divide 240/3 it is 80 which means that 80 miles is 10% of the trip so you can multiply 80 by 10 to see that 800 miles is 100% of the trip.

suppose that 6 people sitting in a enclosed room are each generating about 400BTU's of body heat per hour. if the room is 20ft×15ft×10ft, how many BTU's per cubic foot do they produce in 5 hours?

3BTU's/ft^3
4
5
6​

Answers

I don’t understand the wordingFrom what it looks like I’m pretty sure it’s 6

Answer: 4 BTUs/ft^3

Step-by-step explanation:

i just did a test and this was the right answer

Determine the total surface area of the prism below.

Answers

Answer:

I need a picture of the prism, then I will answer the question.

Step-by-step explanation:

Find the value of x in the triangle

Answers

Answer:

x=63

Step-by-step explanation:

55+62+x=180

117+x=180

180-117=63

x=63

Which equation has a graph parallel to the graph of 9x + 3y =22?

Answers

Answer:

y = -3x + 8.3

Step-by-step explanation:

You need to rearrange 9x + 3y = 22 in the form y = mx +c.

9x+3y = 22

3y = -9x +22

y = -3x + 7.3

As long as the gradient is the same, the lines will be parallel. So you can give any number to the intercept (in this case I gave 8.3) and you will have parallel equations.

True or false. - 0.25 = - 1/4

Answers

Answer:

true

Step-by-step explanation:

True, - 0.25 can go 4 times into - 1/4

True or false concave polygon has all interior angles describe any angles less than 180 Degrees degrees??

Answers

Answer:

true

Step-by-step explanation: In a concave polygon, each interior angle is less than 180°.

what are the ordered pairs of the solution?
2y+6<8x

Answers

(4,8) is the answer.

Find the area of a circle with a radius of 6 feet. Round to the hundredths place

Answers

Answer:

Area of circle = 113.04 square feet

Step-by-step explanation:

Explanation:-

Given that radius of the circle (r) = 6 feet

Area of circle

                   A = π r²

                   A =  π (6)²

                  A =  36 π

                  A = 36 × 3.14

                  A = 113.04 square feet

                 

-7a-3<2a
Please solve

Answers

A>-1/3 combine terms then solve

What is the distance between the points (25 , 12) and (9 , 12) in the coordinate plane? A. 8 units B. 34 units C. 16 units D. 13 units

Answers

Answer:

The answer to the question provided is 16 units.

.

Step-by-step explanation:

☆Well, we simply use the distance formula, which is:

[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2} }[/tex]

...

☆All we need to do is plug in!

[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2} } \\ \\ d = \sqrt{(9 - 25) {}^{2} + (12 - 12)^{2} } \\ d = \sqrt{( - 16)^{2} + (0) ^{2} } \\ d = \sqrt{256 + 0} \\ d = \sqrt{ 256 } \\ d = 16[/tex]

Solve for x in this inequality: -13 < 3x – 7 < 5

Answers

-13 < 3x – 7 < 5

Add 7 to all 3 terms;

-6 <3x<12

Divide all 3 terms by 3:

-2<x<4

If a=6 and b=3 find the value of 1/2 x-5y+2

Answers

Answer:

-10

Step-by-step explanation:

if u meant that a is actually x and b is actually y,

1/2(6)-5(3)+2

=3-15+2

=-10

Answer:

-14

Step-by-step explanation:

evaluate each number in x and y

1/2(6)-5(3)+2

3-15+2

Using BODMAS rule addition comes first from subtraction so

3-17= -14``

Which equation is a true statement about CBD below?

Answers

Answer:

h^2 = a^2 -x^2

Step-by-step explanation:

a^2 = b^2 + c^2

B^2 = A^2 - C^2

A = hypotinus

Answer: d

Step-by-step explanation: js took the test on edge got a 100%

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