John drove his car due east for 8 miles. He then turned south and drove 15 miles. How far was he from where he started?

Answers

Answer 1

Answer:

John was 17 miles away from where he started.

Step-by-step explanation:

The easiest approach to this problem is to draw it out (check the attached image). Going East and turning South is the same as drawing a line towards the right, and then down on the paper.

Using the Pythagorean Theorem, we know that the sum of the square of the legs (2 smallest sides of a right triangle) is equal to the square of the hypotenuse of that triangle. In other words, [tex]a^2 + b^2 = c^2[/tex].

So to solve this, work backwards:

[tex]8^{2}+15^{2} =c^{2}\\64 + 225 = c^{2}\\289 = c^{2}\\c = \sqrt{289}\\ c = 17[/tex]

John Drove His Car Due East For 8 Miles. He Then Turned South And Drove 15 Miles. How Far Was He From
Answer 2

The distance between the initial and final point will be 17 miles.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

This can be expressed as

H² = P² + B²

John drove his car due east for 8 miles.

He then turned south and drove 15 miles.

Then the distance between the initial and final point will be

H² = 8² + 15²

H² = 64 + 225

H² = 289

H = 17 miles

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2


Related Questions

Help plssssss!!!!!!!!!!

Answers

Answer:

-4

Step-by-step explanation:

Help me please , due soon

Answers

Answer:

Radius=12cm

Diameter=24cm

Step-by-step explanation:

The diameter is the full length of the circle through the middle (which is shown in the picture as 24cm).

The radius is half of the diameter.

Answer:

radius is 12 cm

diameter 24 cm

Hello can someone please help me with this

Answers

D: an outlier exists on the far right

What is congruent in this problem?

Answers

Answer:

Step-by-step explanation:

SVT and TVU

Hope that helps!

HELP ASAP PLEASE EXPLAIN THOUGH

Answers

Answer:

35 times, or D

Step-by-step explanation:

A bag contains 5 red marbles, 6 blue marbles, 3 green marbles, 4 black marbles, and 2 yellow marbles. A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction for the number of times a green or black marble will be drawn?

A quick lesson on probability:

The probability of an event is: (the number of ways what you want can happen) / (total number of outcomes possible). For example, in a coin flip, there is 1 way to get heads, and 2 possible outcomes. Thus, the possiblity  of flipping a coin and getting heads is:

(1 way to get heads) / (2 possible outcomes) = 1/2

Then, if we were to flip the coin 100 times, we would expect about 1/2 of the times to be heads, so we should expect heads 50 times.  

On to the problem.

There are 3 green marbles and 4 black marbles, so there are 7 ways to draw a green or black marble.

Then, there are 5 + 6 + 3 + 4 + 2 = 20 possible outcomes.

Using the formula to find the probability, substitute the values we just found.

(the number of ways what you want can happen) / (total number of outcomes possible) =

(7 ways to draw a green or black marble) / (20 marbles that can be drawn) = 7/20 chance of getting a green or black marble.

Then, because there is a 7/20 chance of getting what we want, and there are 100 draws, we can say that an we should get green or black

7/20 * 100 = 35 times, or D

Feel free to ask any questions! :)

A number increased by 6 is 13. What is the number?*

Answers

Answer:

7

Step-by-step explanation:

Simply subtract 6 from 13.

13-6=7

Hope this helps! :)

Finding missing angles
Help asap pls!!

Answers

20 is x because adding it all should be 180

Answer:

it dosent load

Step-by-step explanation:

u can type the angles in the comments and i can help u with that

Is the following expression greater than, less than, or equal to zero? (a^2+b^2)/(a^2+b^2+1)

so I think it's equal to but can someone verify it for me?

Answers

Answer:

is equal cuz a will be cut and be will be cut so what is left 1 is left so it is equal plz Mark me as the brainliest and thank me

Now use the length of the vertical line segment and the horizontal line segment to find the distance between G and H. Substitute these values in the equation for the Pythagorean Theorem.

Answers

Answer:

please first tell me the numbers written

What is the largest integer greater than - 81?

Answers

Answer:

28

Step-by-step explanation:

28

Explanation:

Let the first integer be

n

Then the sum is

n

+

(

n

+

1

)

+

(

n

+

2

)

=

81

Giving

3

n

+

3

=

81

3

n

=

78

n

=

78

3

=

26

Thus the largest integer

n

+

2

=

26

+

2

=

28

Mr. Vernon takes a train for 188 miles. Then he rides a subway for 9 stops. Each stop is 2 miles apart. How far does he travel.

Answers

Answer:

206 miles

Step-by-step explanation:

9 stops * 2 miles = 18 miles on the subway

add the 188 miles traveled by train

188 + 18 = 206 miles

y/3 + 2 = 14 I need help ​

Answers

Answer:

y = 36

Step-by-step explanation:

[tex]\frac{y}{3}+2 = 14\\\\\frac{y}{3}=14-2\\\\\frac{y}{3}=12\\\\y = 12*3\\\\y = 36[/tex]

Which pair of adjacent angles is supplementary?


A. Pair A
B. Pair B
C. Pair C
D. Pair D

Answers

The correct answer is C

Answer:

correct answer

Step-by-step explanation:

What is the equation of a line .........

Answers

Answer:

y = -x + 2, B is the answer

Step-by-step explanation:

If slope is -1, the equation is y = -x+b

Plug in (3,-1) into that equation.

-1 = -3 + b

b = 2

Pl S help pls np helps helpss

Answers

Answer:

2 dollars each I think........

Write ways to represent the fraction 10/9.

Answers

Answer:

mixed number form 1 1/9

decimal form 1.11111111111111 it goes on forever

percent form 111.111111111111% it goes on forever (again)

Step-by-step explanation:

i hope that helps!

Answer:

1  1/9

Step-by-step explanation:

10/9, you get 1 as the whole number.

You have a 1 left over when dividing 10 and 9. the 1 will be over 9.

Giving you 1 as the whole number and 1/9 next to it.

please help
find the value of x in the isosceles triangle shown below.
V80
V80


Answers

Answer:

Option A. x = 8

Step-by-step explanation:

Please see attached photo.

From the attached photo,

we shall determine the value of y. This can be obtained by using pythagoras theory as illustrated below:

(√80)² = 8² + y²

80 = 64 + y²

Collect like terms

80 – 64 = y²

16 = y²

Take the square root of both side

y = √16

y = 4

Finally, we shall determine the value of x. This can be obtained as follow:

From the attached photo,

x = 2y

but:

y = 4

Therefore,

x = 2y

x = 2 × 4

x = 8

Math help/ battle !!

Answers

Answer:

The missing angle is 40 degrees

Step-by-step explanation:

Tan = opposite / adjacent

Tan ? = 24 / 29

24 / 29 = 0.8275

Tan-1 of 0.8275 is 39.610

Round to the nearest degree

39.610 = 40

Answer:

Step-by-step explanation:

Here you have a right triangle with the side lengths 24 and 29 and are asked to find the measure of the smallest angle.

In cases like this you should ask yourself which trig function includes the lengths of the legs (that is, the lengths of the side opposite the angle and the side adjacent to the angle).  That would be the tangent function, and so:

tan (?) = (opposite side) / (adjacent side)

Here, tan x = 24/29 = 0.691.  Note:  I used my TI-83Plus calculator to determine that the measure of angle x in radians is 0.691.

The unknown angle is 0.691 radians, or (multiplying that by the conversion factor (180/pi) ) 39.6 degrees.  To the nearest degree, that'd be 40 degrees.

Andrew McCutchen hit 18 homeruns in 9 baseball games. At this rate, how many homeruns will he have hit
in 11 baseball games?
Please show how to do it

Answers

Answer:

if it's 18 home runs in 9 baseball games

then you're dividing 18 by 9 which is 2 home runs for every 9 baseball games

to prove if you're right (9×2=18)

if it's 11 baseball games then 11×2=22

Hope It Helps ☺️

Andrew McCutchen hit 18 a number of homeruns in 9 baseball games. . which is determined by the given proportion.

What is the proportion?

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.

Given that he hit 18 homeruns in 9 baseball games.

Let the number of homeruns would be x will he have hit in 11 baseball games.

According to the given question, we can write a proportion as

18 homeruns : 9 baseball games = x homeruns : 11 baseball games.

18 / 9 = x / 11

Apply the cross-multiplication operation,

18 × 11 = 9x

9x = 198

x = 198 / 11

Apply the division operation,

x = 18

Therefore, he hit 18 a number of homeruns in 9 baseball games.

Learn more about the proportion here:

brainly.com/question/1504221

#SPJ2

Please help!!
Find the value of x to the nearest tenth.

Answers

Answer:is it 1

Step-by-step explanation:

A jewelry box is shaped like a cube. One side of the box is 6.5 inches long. What is the volume of the jewelry box?

Answer options:

-274 in3
-274.5 in3
-274.375 in3
-274.625 in3

Answers

Answer:

274.625 in^3

Step-by-step explanation:

equation for volume LxWxH

6.5x 6.5x 6.5= 274.625

people in here again and again. I think this is the last question

Answers

Answer:

2.4 cm

Step-by-step explanation:

We know the length of segment AB and the length of segment BC. To find their midpoints, we can divide their length by 2.

Let's find the midpoint of AB.

Segment AB: 10 cm Midpoint of AB: 10/2 = 5 cm

Next let's find the midpoint of BC.

Segment BC: 5.2 cmMidpoint of BC: 5.2/2 = 2.6 cm

In order to find the difference between these midpoints, we can subtract the midpoint of AB by the midpoint of BC.

5 cm - 2.6 cm = 2.4 cm

Therefore, the difference between the midpoints of AB and BC is 2.4 cm.

a b c or d thanks for helping me ​

Answers

Answer:

either A,B,C, or D?

Step-by-step explanation:

Can y’all recount a story where you were proud of yourself for making a good decision when it was really difficult? Thanks!

Answers

Answer:

i was proud of myself when I finally figured out a difficult math problem. I didn't even ask for help. it was a hard time for me but I eventually came through.

convert into 24 hours clock.4.17pm​

Answers

Answer:

16:17

Step-by-step explanation:

when it's pm, add 12 to the 12 hr time

please help i don't know what I'm doing ​

Answers

Answer:

11 is the answer

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

to find one of the addend

subtract another one of the addend by the sum

eg : 9 + __= 20

20 - 9 = 11

now we can check

9 + 11 = 20

hope this helps

thanks bye

Find the slope given
the ordered pairs:
(-3,-2) and (-3,-5)

Answers

Step-by-step explanation:

[tex] - 2 - - 5 \\ [/tex]

[tex] \div - 3 - - 3[/tex]

This month, 25 dogs were brought in to the animal shelter. Leo predicts that next month will have 40% more dogs brought in than this month.
How many more dogs does Leo think will be brought in?
dogs
How many total dogs would that make?
dogs total

Answers

Answer:

35 dogs

Step-by-step explanation:

40% more than 25 is 35

The rectangle shown has a perimeter of 98 cm and the given area. Its length is 7 more than 5 times its width. Write and solve a system of equations to find the dimensions of the rectangle.

Answers

Answer:

35 is its width and 63 is its length.

Step-by-step explanation:

7 x 5 = 35 and 98 - 35 equals 63 which is the length.

please help me with this it is practice and I'm confused ​

Answers

Answer:

D

Step-by-step explanation:

A function is any line that does not repeat in x-value (doesn't repeat on the x-axis).

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