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]
10 months 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]10 months 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
Solve the equation: sin(2x)= sin x
Anna [14]

Answer:

Below

Step-by-step explanation:

sin(2x) = 2 ×cos(x)× sin(x)

● sin(x) = 2 × cos(x) × sin(x)

● 2 × cos(x) = 1

● cos (x) = 1/2

So we can deduce that:

● x = Pi/3 + 2*k*Pi

● or x = -Pi/3 + 2*k*Pi

K is an integer

3 0
3 years ago
Con base en el siguiente texto, responde la pregunta 7. Los ángulos de un
Sonbull [250]

Answer:

c

Step-by-step explanation:

5 0
3 years ago
A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a ne
Evgen [1.6K]

Answer:

a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between 0.6290 and 0.6948.

b. If the sample size is changed, the confidence interval changes as the standard error depends on sample size.

About 90% percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about 10% percent will not contain the true population proportion.

Step-by-step explanation:

We have to calculate a 90% confidence interval for the proportion.

The sample proportion is p=0.6619.

p=X/n=370/559=0.6619

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.6619*0.3381}{559}}\\\\\\ \sigma_p=\sqrt{0.0004}=0.02

The critical z-value for a 90% confidence interval is z=1.6449.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=1.6449 \cdot 0.02=0.0329

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sigma_p = 0.6619-0.0329=0.6290\\\\UL=p+z \cdot \sigma_p = 0.6619+0.0329=0.6948

The 90% confidence interval for the population proportion is (0.6290, 0.6948).

3 0
2 years ago
Find the slope of the line 2x-4y=2
FrozenT [24]
Get y by itself so subtract 2x from both sides. So next it would be -4y=-2x+2. To get y by itself divide both sides by -4. So then it would be y= -2/-4x +2/-4. They both reduce down to y=1/2x-1/2. So the slope is 1/2 because the formula y=mx+b
m=slope. Hope this helps! :)
7 0
3 years ago
The top question plezzzzzzz zzzzzzzzz zzzzzzzzz zzzzzzzzz
zaharov [31]
Use a ruler for this problem. Take a picture of the measurement & then I could help you.
8 0
3 years ago
Other questions:
  • Write an equation with two variables represents a real-world situation.
    14·1 answer
  • Which equation is equivalent to 2x+5y=-2?
    7·2 answers
  • What is standard form of twenty-six and thirty four hundredths
    15·2 answers
  • keisha bakes a pan of brownies. she takes 1/2 to picnic. at picnic her family eats 3/8 of the whole pan. which fraction os the w
    15·1 answer
  • Passes through (-1,4) and has a slope of 4
    13·2 answers
  • 4 Riley finds a recipe for bubble solution that uses 1 cup water, 2 cup dish soap,
    13·1 answer
  • ashley is on a road trip. so far she has traveled 28.61% of the trip which is 101 miles. how many miles is the entire trip?
    6·1 answer
  • Suppose your​ friend's parents invest $15,000 in an account paying 5% compounded annually. What will the balance be after 10 ​ye
    6·1 answer
  • What is the output of this program?
    12·2 answers
  • a sticky scale brings webster’s attention to whether caulking tubes are being properly capped. if a significant proportion of th
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!