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2 years ago

Lines a and d are

Mathematics

1 answer:

ICE Princess25 [194]2 years ago

8 0

Answer:

perpendicular (90 deg to each other)

Step-by-step explanation:

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How do I find the displacement? Help frl

liubo4ka [24]

Answer:

distance traveled: 30 m
displacement: 21.4 m

Step-by-step explanation:

You want the distance traveled and the displacement after walking 17 m south and 13 m east.

<h3>Distance</h3>

The distance traveled is the sum of the lengths of each leg of the trip:

17 m + 13 m = 30 m

You have traveled a distance of 30 m.

<h3>Displacement</h3>

The displacement is the distance from your final position to your starting position. If you draw a diagram of the journey, you see the displacement is the hypotenuse of a right triangle with legs 17 m and 13 m. The Pythagorean theorem can help you find this length:

h = √(a² +b²)

h = √(17² +13²) = √(289 +169) = √458 ≈ 21.401

At the end of your walking, you are 21.4 m from where you started.

5 0

1 year ago

The graph of the equation y=7x-3 has what slope?

Nikitich [7]

The slope of the line would be 7

3 0

3 years ago

Read 2 more answers

The rainfall total this year was 10.2 inches, which is 20% less than last year's rainfall total. What was last year's rainfall t

antoniya [11.8K]

Answer: 12.75 inches

Step-by-step explanation:

Let x represent last year's rainfall.

Multiply by 0.8 since this year was 20% less.

x(0.8)= 10.2

x = 12.75

6 0

2 years ago

A wireless phone company determines that 12 out of every 350 Model A phones are returned because of a defective screen. If the c

Len [333]

I think it would be 66

8 0

2 years ago

He dimensions are tripled. The new surface area would be times larger than the original surface area.

ddd [48]

Answer:

The new surface area would be 9 times larger than the original surface area.

Step-by-step explanation:

Here we do not know what was the original shape, but we will see that it does not matter.

Let's start with a square of side length L.

The original area of this square will be:

A = L^2

Now if each dimension is tripled, then all the sides of the square now will be equal to 3*L

Then the new area of the square is:

A' = (3*L)^2 = (3*L)*(3*L) = 9*L^2 = 9*A

So the new surface area is 9 times the original one.

Now, if the figure was a circle instead of a square?

For a circle of radius R, the area is:

A = pi*R^2

where pi = 3.14

Now if the dimensions of the circle are tripled, the new radius will be 3*R

Then the new area of the circle is:

A' = pi*(3*R)^2 = pi*9*R^2 = 9*(pi*R^2) = 9*A

Again, the new area is 9 times the original one.

If the figure is a triangle?

We know that for a triangle of base B and height H, the area is:

A = B*H/2

If we triple each measure, we will have a base 3*B and a height 3*H

Then the new area is:

A' = (3*B)*(3*H)/2 = (3*3)*(B*H/2) = 9*(B*H/2) = 9*A

Again, the new area is 9 times the original area.

So we can conclude that for any shape, the new area will be 9 times the original area.

3 0

2 years ago