If a car travels 10 ft due north and then 15 feet due west, how far is the car from it starting point? This is for homework and it’s on the Pythagorean theorem

Answers

Answer 1
Answer:

Explanation:

The car travel 10ft north then 15ft due west. In order to find the distance from starting point. We need to find the hypotenuse where the distance to north and west are the adjacent side.

We can use Pythagorean’s theorem according to that:

Let c be the distance from starting point.
And a and b be the distance travel to north and west.

a^2 + b^2 = c^2
10^2 + 15^2 = c^2
100 + 225 = c^2
325 = c^2
Sqrt(325) = c
5sqrt(13) = c

Therefore, the distance from starting point is 5sqrt(13) ft

Related Questions

Find the midpoint of the segment with the given endpoints. (-10.2) and (0,-7)​

Answers

Answer:

[tex]=\left(-5,\:-\frac{5}{2}\right)[/tex]

Step-by-step explanation:

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-10,\:2\right),\:\left(x_2,\:y_2\right)=\left(0,\:-7\right)\\\\=\left(\frac{0-10}{2},\:\frac{-7+2}{2}\right)\\\\= (\frac{-10}{2} , \frac{-5}{2})\\ \\=\left(-5,\:-\frac{5}{2}\right)[/tex]

(Ticket sales) tickets for a community theater costs $10 for each main floor seat and $8 for each balcony seat. There are 400 seats on the main floor, and these seats were sold out for the evening performance. The total revenue from ticket sales was $5200. How many balcony seats were song?

Answers

Answer:

150

Step-by-step explanation:

400*10=4000

5200-4000=1200

1200 divided by 8 =150

Answer:

150 seats were sold.

Step-by-step explanation:

first do 10x400= 4000

then 5200-4000= 1200

divide that by how much balcony tickets cost, so 1200÷8= 150 seats

If you have 1,478 squares, can you make a stair-like structure using all of the squares?

Answers

Yes indeed if you pin point accurately

Please help marking as brainliest ndbi brought 16 packages of blueberries for 48. how many packages can jacob buy if he has $12.

Answers

Answer:

4 packages

Step-by-step explanation:

ndbi bought 16 packages of blueberries for $48, which means he bought 1 package for $3 because 48 / 16 = 3.

jacob has $12, so he can buy 4 packages of blueberries because 12 / 3 = 4.

Linear equation

4X-12+3x+9

Answers

Steps to solve:

4x - 12 + 3x + 9

~Combine like terms

(4x + 3x) + (-12 + 9)

~Simplify

7x - 3

Best of Luck!

Answer:

X = 3/7

Step-by-step explanation:

4X - 12 + 3X + 9 = 0 (separate them)

4X + 3X = 12 - 9 (add)

7X = 3 (divide 7 on both sides)

X = 3/7

Solve the absolute value equation below 3|6-4x|-4=

Answers

Answer:

Impossible, not enough to answer the question

Step-by-step explanation:

As you can see because there is no number or variable past the equal sign it is simply an expression, please correct me if I am wrong but even if the other side was 0, I doubt a teacher would give this problem with decimals, but it may just be me.

y = 7x - 15
y = 4x - 12

Answers

Answer:

Step-by-step explanation:

7x - 15 = 4x - 12

3x - 15 = -12

3x = 3

x = 1

y = 7(1) - 15

y = 7 - 15

y = -8

(1, -8)

It's possible to build a triangle with side lengths of 4, 4, and 16

Answers

Answer:

Yes it's possible to make a triangle with 4, 4 and 16.

But if it also has 2 equal angles along with the equal sides (4 and 4), you can call it isosceles triangle.

Yes. It is possible

WILL MARK BRAINLIEST EASY MATH PROBLEM!!! + FREE VBUCKSSS

Answers

Answer:

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

If FG = 10, GH = 7x, and FH = 9x, what is FH?
F 10
G
H
9x

Answers

Answer: FH is 9x, given in the question

It's 45 if you solve for x and plug in x=5

Step-by-step explanation:

FG+GH =FH

10+7x= 9x

10=2x

x=5

FG+GH=FH

10 +7(5) = 9(5)

10 + 35 =45

Thirteen plus a number N is greater than fifteen

Answers

If this is what I think it means, then a number N is 3. Otherwise I don’t entirely understand.
N>or=3

N is greater than or equal to 3. 13+3 is 16 which is greater than 15. Any number higher than 3 will also work because it’s higher that 15.

How many solutions does the system have?

2x+3y=6
-3x+5y=-15

Answers

Answer:

one solution

Step-by-step explanation:

2x+3y=6      multiply this equation  with 3

-3x+5y=-15    multiply this equation  with 2

so

6x+9y=18

-6x+10y=-15

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

add these equation

so 6x-6x+9y+10y=18-15

     19y=3

y=3/19

so 2x+3*3/19=6      multiply this equation  with 19

2x*19+9=6*19

38x+9=114

-9          -9

38x=105

x=105/38

   

Graph f(x) = 2x2 + 12x + 12

Answers

The answer is 6 my guy

Answer:

Step-by-step explanation:

How are natural and whole numbers different ?

Answers

Answer:

Whole numbers include 0 while natural numbers do not.

Step-by-step explanation:

Natural numbers are 1, 2, 3, 4, etc.

Whole numbers are 0, 1, 2, 3, 4, etc.

!SUBSTITUTION METHOD!

6y - 5z = -8
3z = -6
4x - 3y - 2z= 21​

Answers

Answer:

x = 2 y = - 3z = - 2

Step-by-step explanation:

6y - 5z = -8 .......... Equation 1

3z = -6 ................... Equation 2

4x - 3y - 2z= 21...... Equation 3

First solve for z in Equation 2

That's

3z = - 6

Divide both sides by 3

z = - 2

Next substitute the value of z into Equation 1 in order to find y

We have

6y - 5(-2) = - 8

6y + 10 = - 8

6y = - 8 - 10

6y = - 18

Divide both sides by 6

y = - 3

Finally substitute the values of y and z into Equation 3 to find the value of x

That's

4x - 3(-3) - 2(-2) = 21

4x + 9 + 4 = 21

4x + 13 = 21

4x = 21 - 13

4x = 8

Divide both sides by 4

x = 2

So the solutions are

x = 2 y = - 3z = - 2

Hope this helps you

Monica is a lawyer who earns $8,322.65 every month. She spends $830.98 on rent, $210.36 on food, and $120.45 on gas every month. After these expenses, she has $ left from her earnings.

Answers

Answer:

Money left from her earning after expenses is $ 7160.86

Step-by-step explanation:

Money earned by Monica every month = $ 8322.65

Money spend on rent = $ 830.98

Money spend on food = $ 210.36

Money spend on gas every month = $ 120.45

Money left from her earning = 8322.65 - ( 830.98 + 210.36 + 120.45 )

                                              = 8322.65 - 1161.79

                                              = $ 7160.86

Answer:

Money left from her earning after expenses is $ 7160.86

Step-by-step explanation:

Money earned by Monica every month = $ 8322.65

Money spend on rent = $ 830.98

Money spend on food = $ 210.36

Money spend on gas every month = $ 120.45

Money left from her earning = 8322.65 - ( 830.98 + 210.36 + 120.45 )

                                              = 8322.65 - 1161.79

                                              = $ 7160.86

Therefore. Money left from her earning after expenses is $ 7160.86

Keena's shirt is $13. She gets a 20% off. What is the price?

Answers

Answer:

$10.40

Step-by-step explanation:

Just like any other percent problem, subtract 20%.

$13 - 30% = $10.40

Your answer is $10.40. Hope this helps!

A hot air balloon ascended to a height of 25 meters 2 minutes after launch. After some time, the balloon's altitude began to change by -2⅕ meters every minute for 7 minutes. To avoid a tree, the balloon flew up by 8½ meters. What is the new altitude of the balloon? expression for problem?

Answers

Answer:

18.1 m

Step-by-step explanation:

For this problem, we will simply use the initial height of 0 meters, the height of 25 meters after 2 minutes, the decline of 2.2 meters every minute for 7 minutes, and a final increase of 8.5 meters to find the final altitude of the ballon.

0m + 25m - 2.2m(7) + 8.5m = ?

25m - 15.4m + 8.5m = ?

9.6m + 8.5m = ?

18.1m = ?

Hence, the final altitude of the ballon is 18.1m.

Cheers.

Determine whether the study is an observational study of an experiment. Explain.
In a survey of 1117 adults in a country, 54% said the country's leader should release all medical information that might affect their ability to serve The study is_____because it____a treatment to the adults.

Answers

Answer: Observational ; does not

Step-by-step explanation: The main distinguishing factor between an experimental study and an observational study lies in the administration of treatment to the participant of the study. In experimental study, some or all the participant in the study are subjected or exposed to a certain treatment and their response to such treatment. ON THE OTHER HAND, Observational study is usually employed when there is a need to gather information on a particular subject matter without directly influencing the participants. In the scenario above, participants were not given any TREATMENT as they were only required to gather information and not to measure the effect of a treatment.

So uh max points is 100 well whats 2-1 equal im really confused

Answers

Answer:I'm confused to

Step-by-step explanation:

Answer:

Can you explain more 2-1 as in a ratio

Step-by-step explanation:

A student multiplies (4+5i) (3-2i) incorrectly and obtains 12-10i. What is the student's mistake? Select the two correct answers. A. They multiplied the second number by the real part of the first number. B. In the multiplication of the imaginary parts, the student forgot to square the i. C. The student has only multiplied the real parts and the imaginary parts. D. The student has added the real parts and multiplied the imaginary parts. E. The student has multiplied the second number by the imaginary part of the first number.

Answers

Answer:

B. In the multiplication of the imaginary parts, the student forgot to square the i. C. The student has only multiplied the real parts and the imaginary parts.

Step-by-step explanation:

Before we figure out the student mistake, let us find the product of the complex numbers ourselves first.

(4+5i) (3-2i)

open the parenthesis

= 4(3)-4(2i)+3(5i)+5i(-2i)

= 12-8i+15i-10i²

Note that in complex number, i² = -1, hence the expression will become;

= 12-8i+15i-10(-1)

= 12-8i+15i+10

collect like terms by separating the real from imaginary part

= 12+10-8i+15i

= 22+7i

From the students answer i.e 12-10i, it can be concluded that;

In the multiplication of the imaginary parts, the student forgot to square the i and the student has only multiplied the real parts and the imaginary parts 4 and 3 to get 12

What is the solution of log(t-3) = log(17-4t)?​

Answers

Answer:

t=4

Step-by-step explanation:

Answer:

Solution: 4

Step-by-step explanation:

We are given that log(t - 3) = log(17 - 4t), and need to solve for the value of t. Start off by applying the log rule 'If log(f(x)) = log(g(x)) say, then f(x) = g(x).' Similarly the equation boils down to the following:

t - 3 = 17 - 4t

Solving this equation, we will receive our solution. Let's do it:

t - 3 = 17 - 4t,

t = 20 - 4t,

5t = 20,

t = 20/5 = 4 ✓

The previous solution is correct.

What is the multiplication 12×4

Answers

Answer: 48

12+12=24

24+12=36

36+12=48

12x4= 48

Arrange the numbers one on top of the other and line up the place values in columns.

Starting with the ones digit of the bottom number, the multiplier, multiply it by the last digit in the top number.

Write the answer below the equals line.

:)

It takes Ron 3 hours to paint one side of a house. It takes Natalie 6 hours to paint the same area. What is Natalie's rate
of doing a side of a house in an hour

Answers

Answer:

the answer is 6x3 which is 18

Step-by-step explanation:multiply to find out the answer

WHAT IS 100 TIMES GREATER THAN 20

Answers

Answer:

2000

Step-by-step explanation:

20 x 100 = 2000

Hope this helps

You randomly draw twice from this deck of
cards
HCF F||0||D
What is the probability of drawing a D, then
drawing an F, without replacing the first
card?

Answers

answer=my buttttttttttttttttttttttttttttttttttttttttttttttttt

A town doubles its size every 44 years. If the population is currently 8,000, what will the population be in 88 years?

Answers

Answer:

  32,000

Step-by-step explanation:

In 44 years, it will double to 16,000. In 44 more years (88 years from now), it will double again to 32,000.

The population in 88 years will be 32,000.

The scatter plot shows association between the age of a motorcycle and the sale price of the motorcycle because as the age of a motorcycle increases, the sale price of the motorcycle

Answers

Answer:

C

Step-by-step explanation:

The answer is C

A single-payment loan of $5,955. Interest rate of 8.75 percent. Days of ordinary
interest: 42. Round to the nearest hundredth. What is the interest owed? What is the maturity value?

Answers

Answer:

interest owned = PTR/100

                          = 5955*(42/365)*8.75/100 =59.96

maturity value = 5955+59.96=6054.96

Step-by-step explanation:

Which equation describes this line?
(1, 13)
(-2, 4)

Answers

Answer:

y =3x+10

Step-by-step explanation:

[tex]\mathrm{Line\:passing\:through\:}\left(1,\:13\right)\mathrm{,\:}\left(-2,\:4\right)\\\\(1,13)=(x_1,y_1)\\(-2,4) = (x_2,y_2)\\\\\frac{y-13}{x -1} = \frac{4-13}{-2-1}\\ \\\frac{y-13}{x-1} = \frac{-9}{-3}\\\\ -3(y-13)=-9(x-1)\\\\-3y +39 =-9x +9\\\\-3y =-9x+9-39\\\\-3y =-9x -30\\\\\frac{-3y}{-3} = \frac{-9x}{-3} - \frac{30}{-3} \\\\y = 3x+10[/tex]

Answer:

 y - 4 = 3 ( x + 2 )

Step-by-step explanation:

so ,

( 1 , 13 )   and    ( - 2 , 4 )

x1   y1                 x2   y2

formulae of slope m is y2-y1

                                     over

                                     x2-x1

4-13

  /

-2-1

-9/-3

therefore m=3

now to get the equation of line is

y-y1=m(x-x1)

y - 13 = 3 ( x -  1 )

y - 13 = 3 x - 3

y = 3 x - 3 + 13

y = 3 x + 10

y - 4 = 3 x + 6

y - 4 = 3 ( x + 2

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