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3 years ago

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You start driving north for 7 miles, turn right, and drive east for another 24 miles. At the end of driving, what is your straig

ht line distance from your starting point?

1 answer:

horsena [70]3 years ago

3 0

Answer:

$AC = 25\ miles$

Step-by-step explanation:

Given:

Distance for north side = 7 miles.

Distance for east side = 24 miles.

We need to find the displacement.

Solution:

Figure shows Point A is starting point and AB = 7 miles is North side distance and BC = 24 miles is east side distance and AC is shown as displacement.

Using Pythagoras theorem to find displacement (AC).

$(AC)^{2}=(AB)^{2}+(BC)^{2}$

Substitute AB = 7 and BC = 24 in above equation.

$(AC)^{2}=(7)^{2}+(24)^{2}$

$(AC)^{2}=49+576$

$(AC)^{2}=625$

$AC = \sqrt{625}$

$AC = 25\ miles$

Therefore, displacement of the car $AC = 25\ miles$

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nekit [7.7K]

Answer:

$d = \sqrt{65}$

Step-by-step explanation:

We need to find the distance between the points (5, 2) and (1, 9). In order to do this, we will use something called the distance formula. The distance formula is written as follows:

$d = \sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2}}$

Now we need to plug in our points which we have given in the form (x, y):

$d = \sqrt{(5-1)^{2}+(2-9)^{2}}$

Next, perform the operation of subtraction inside the parentheses to simplify:

$d = \sqrt{(4)^{2}+(-7)^{2}}$

The exponent is the next step in the order of operations, so square 4 and -7:

$d = \sqrt{16+49}$

Finally, add 16 to 49:

$d = \sqrt{65}$

The square root of 65 cannot be simplified further, but an approximation can be made.

$\sqrt{65}$ ≈ 8.062257748

7 0

3 years ago

Which pair of events is dependent? You get a head and a tail in two coin tosses with two different coins. You get a head and a t

brilliants [131]

The billiard balls without replacement.

Let's say there are 10 billiard balls 5 red and 5 blue.
If you pick a blue ball on the first pick you had a 5/10 chance
Now your chances of getting a red are only 5/9.
What happened on the first pick affects what happens on the second (making it dependent)

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3 years ago

SYSTEM OF LINEAR EQUATIONS

Effectus [21]

Answer:

Step-by-step explanation:

x-y=11

2x+y=19

---------------

x=y+11

2(y+11)+y=19

2y+22+y=19

3y+22=19

3y=19-22

3y=-3

y=-3/3

y=-1

x-(-1)=11

x+1=11

x=11-1

x=10

Answer: x=10, y=-1. (10, -1).

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-6x+5y=1

6x+4y=-10

-------------------

9y=-9

y=-9/9

y=-1

6x+4(-1)=-10

6x-4=-10

6x=-10+4

6x=-6

x=-6/6

x=-1

Answer: x=-1, y=-1. (-1, -1).

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2x+9y=25

-4x-9y=-23

-------------------

-2x=2

x=2/-2

x=-1

2(-1)+9y=25

-2+9y=25

9y=25-(-2)

9y=25+2

9y=27

y=27/9

y=3

Answer: x=-1, y=3. (-1, 3).

4 0

3 years ago

Read 2 more answers

The ratio of the number of apples to the number of pears in a basket was 3:5. After 7more apples were added to the basket and 9

atroni [7]

Answer:

Apples = 24

Pears = 40

Step-by-step explanation:

Let u be the unit of fruit in the basket,

number of apples: $3u +7$

number of pears: $5u -9$

now to find u, we equate the two equations.

$3u+7=5u-9$

Now simplify.

$5u-3u=7+9$

$2u=16$

$u=8$

Now we can find the original number of apples and pears by substituting u.

so original number of apples = $3u = 3(8) = 24$

and original number of pears = $5u = 5(8) = 40$

5 0

4 years ago

What is the SLOPE of the LINES that passes through the points (13,1) and (-2,4 )

olga55 [171]

Answer: M= slope

M= -1/5

Step-by-step explanation:

M= the change in y over the change in x so you would do 1-4 over 13-(-2) which gives you -3 over 15 which is simplified to give you the answer which is -1/5.

7 0

3 years ago