1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
skelet666 [1.2K]
1 year ago
11

In the graph below, Point A represents Owen's house, Point B represents David's house and Point C represents the school. Who liv

es closer to the school, and by how many miles? You may type your steps in the lines below or submit a screenshot of you work. *You may use graph paper or enlarge this graph to draw your right triangle.

Mathematics
1 answer:
ycow [4]1 year ago
5 0

Answer:

• David

,

• 4 miles

Explanation:

In the graph:

The given locations are:

• Owen's House, A(11,3)

,

• David's House, B(15,13)

,

• School, C(3,18)

We determine both Owen's and David's distance from the school using the distance formula.

Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Owen's distance from school (AC)

\begin{gathered} AC=\sqrt[]{(3-11)^2+(18-3)^2} \\ =\sqrt[]{(-8)^2+(15)^2} \\ =\sqrt[]{64+225} \\ =\sqrt[]{289} \\ AC=17\text{ miles} \end{gathered}

David's distance from school (BC)

\begin{gathered} BC=\sqrt[]{(3-15)^2+(18-13)^2} \\ =\sqrt[]{(-12)^2+(5)^2} \\ =\sqrt[]{144+25} \\ =\sqrt[]{169} \\ BC=13\text{ miles} \end{gathered}

We see from the calculations that David lives closer to the school, and by 4 miles.

The graph below is attached for further understanding:

You might be interested in
Simplify the expression using trigonometric identities: sec (–θ) – cos θ.
ololo11 [35]

Answer:

sin θ . tan θ

Step-by-step explanation:

Note : -

sec ( - θ ) = sec θ

Formula / Identity : -

sec θ = 1 / cos θ

sec ( - θ ) - cos θ

= [ 1 / cos θ ] - cos θ

{ LCM = cos θ }

= [ 1 / cos θ ] - [ cos²θ / cos θ ]

= [ 1 - cos²θ ] / cos θ

{ 1 - cos²θ = sin²θ }

= sin²θ / cos θ

{ sin²θ = sin θ . sin θ }

= sin θ . sin θ / cos θ

{ sin θ / cos θ = tan θ }

= sin θ . tan θ

Hence, simplified.

4 0
2 years ago
If A's income is 25% less than that of B, then how much percent is B's income more than that of A?​
saul85 [17]
Let's say that B makes $100.

Then A makes $75.

So, your question then becomes 100 is what percent of 75?

This can be solved by setting up the proportion 100 / 75 = x / 100

75x = 10000

x = 133.3

So, B's income is 33.3% more than A's income.
7 0
3 years ago
The table shows which school subject are favored by a group of students predict the number of students out of 400 that would pic
vfiekz [6]
What table. 

If it is a normal table or a wooden table. The marble ones are cool but I prefer the wood. btw this is just filler text so I could ask if you would link the table.
5 0
3 years ago
Which of the following terms correctly describe the object below?
Ratling [72]
The correct answers are A, D, E
5 0
3 years ago
Sophie can peel all the potatoes by herself in 45 minutes, while it would take Simon 30 minutes to do the job working alone. If
Degger [83]

Answer:

18 minutes

Step-by-step explanation:

Sophie can peel all potatoes in 45 minutes, in 1 minute she can peel:

  • 1/45 of all the potatoes

Simon can peel all potatoes in 30 minutes, in 1 minute he can peel:

  • 1/30 of all the potatoes

Together, in 1 minute they can peel:

  • 1/45+1/30= 2/90+3/90= 5/90= 1/18 of all the potatoes

To peel all the potatoes they need:

  • 1 ÷ 1/18= 1 × 18= 18 minutes

So it will take them 18 minutes to peel all the potatoes

7 0
3 years ago
Other questions:
  • The width of a rectangle is 15 ft. shorter than its length. Its perimeter is 262 ft. Let l equal the length of the rectangle.
    5·1 answer
  • How would I work this question? x+10y= -9 and x=5y+21
    12·1 answer
  • -3x+6y= -3 and -5+y=-23
    12·2 answers
  • Sharita does special typing jobs for scientists. She charges $7 for the first 3 pages and $3for each additional page. Sonia paid
    14·2 answers
  • The quotient of a number t and 4.2 is at most 15.​
    10·1 answer
  • Find the area of the region in two ways. a. Using integration with respect to x. b. Using geometry. 9-x
    15·1 answer
  • Easy math but im confused (sorry) <br>Help with q1 and 2 please ^^​
    12·1 answer
  • If Fred made $350 more than Jamie last month and Jamie made twice as much as Karl while together the three of them made $19,230,
    5·1 answer
  • 2|2x-6|=20<br><br> How the hell do you do this guys :(
    15·2 answers
  • What is the decimal multiplier to decrease by 3.9%?<br><br> Answer: 0.961
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!