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1 year ago

A hiker travels 1.13 kilometers south, then travels 2.25 kilometers east. What’s the hiker’s displacement for the trip?

Mathematics

1 answer:

lara31 [8.8K]1 year ago

5 0

Answer:

Total displacement = 2.52 kilometers [south east] $a^2 + b^2 = c^2\\1.13^2 + 2.25^2 = c^2\\c^2 = 6.3394\\c = 2.52$

Step-by-step explanation:

By the Pythagorean Theorem:

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- 7h + 2(-4h +5) > -4h +1 +10. Solve for h

navik [9.2K]

Hello.

-7h + 2(-4h + 5) > -4h + 1 + 10 ; solve for h

Our first step is to get rid of all the parenthesis. We can do this by simplifying everything out.

-7h - 8h + 10 > -4h + 11

Add like terms.

-15h + 10 > -4h + 11

Now, we must isolate our variables. We do this by moving all variables to one side and moving our other numbers to the other.

Subtract 10 from both sides. Then, add 4h to both sides.

-15h + 4h > 11 - 10

Simplify.

-h > 1

Divide both sides by -1.

However, keep in mind that when dividing with a negative, you must change the sign. Therefore, > turns into <

-h ÷ -1 < 1 ÷ -1

h < -1

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2 years ago

A square has side length of 9 in. If the area is doubled, what happens to the side length?

Alika [10]

Answer:

The side length is multiplied by $\sqrt{2}$

Step-by-step explanation:

we know that

The area of the original square is equal to

$A=9^{2}=81\ in^{2}$

If the area is doubled

then

The area of the larger square is

$A1=(2)81=162\ in^{2}$

Remember that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of the larger square

y ---> the area of the original square

$z^{2}=\frac{x}{y}$

we have

$x=162\ in\^{2}$

$y=81\ in\^{2}$

$z^{2}=\frac{162}{81}$

$z^{2}=2$

$z=\sqrt{2}$ ------> scale factor

therefore

The side length is multiplied by $\sqrt{2}$

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2 years ago

What is the sum of 3+(-5)?

pantera1 [17]

Answer:

Your answer is -2 hope this helps

7 0

2 years ago

Read 2 more answers

What is the answer to x-1=-5-x

maria [59]

Answer:

$x=-2$

Step-by-step explanation:

We have the equation $x-1=-5-x$

In order to solve for x, we need to get all of the x's to one side and everything else to the opposite side

$x-1=-5-x$

First, we can add 1 to each side

$x=-4-x$

Now, we can add x to each side

$2x=-4$

Next, we can divide each side by 2

$x=-2$

And here is our answer.

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2 years ago

Can someone explain how to do this

n200080 [17]

You need to divide the miles by the hours to et the Average speed.
M divided by h = s
Because to get the mph (miles per hour) you multiply the average speed to the hours.
S•h=mph

8 0

3 years ago