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
OLEGan [10]
3 years ago
15

Who is farthest from the school

Mathematics
1 answer:
postnew [5]3 years ago
7 0

Using the law of cosines:

The grocery store to the school:

Distance = √(7^2 + 10^2 - 2*7*10*cos(100)

Distance = 13.16 miles


The movie store to the school:

Distance = √(7^2 + 10^2 - 2*7*10*cos(120)

Distance = 14.80 miles


The friend is further away.

You might be interested in
One factor in flood safety along a levee is the area that will absorb water should the levee break. The coordinates that make up
Anit [1.1K]

Let

A(0,0)\\ B (2.8, 2.1)\\C(4.3, 4.4)

using a graph tool

see the attached figure

The figure is a triangle

we know that

<u>The Heron's Formula</u> is a method for calculating the area of a triangle when you know the lengths of all three sides.

Hero's Formula is equal to

Area=\sqrt{p*(p-a)*(p-b)*(p-c)}

where

p is  is half the perimeter of the triangle

 a,b,c are the lengths of the sides of a triangle

so

Step 1

<u>Find the length sides of the triangle</u>

a) <u>Find the distance AB</u>

d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}

Substitute

d =\sqrt{(2.1-0)^{2} +(2.8-0)^{2}}

d =3.5\ mi}

b) <u>Find the distance AC</u>

d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}

Substitute

d =\sqrt{(4.4-0)^{2} +(4.3-0)^{2}}

d =6.15\ mi}

c) <u>Find the distance BC</u>

d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}

Substitute

d =\sqrt{(4.4-2.1)^{2} +(4.3-2.8)^{2}}

d =2.75\ mi}

Step 2

<u>Find the perimeter of the triangle</u>

Perimeter= 3.5+6.15+2.75 =12.4\ mi

<u>Find the half of the perimeter </u>

p=\frac{12.4}{2} = 6.2\ mi

Step 3

<u>Find the area of the triangle</u>

Area=\sqrt{6.2*(6.2-3.5)*(6.2-6.15)*(6.2-2.75)}

Area=\sqrt{6.2*(2.7)*(0.05)*(3.45)}

Area= 1.69\ mi^{2}

therefore

<u>the answer is the option </u>

a) 1.65 mi^2.

4 0
3 years ago
Read 2 more answers
Using the trend line y = 8x + 8, for the data shown, complete the residual table.
Anit [1.1K]

Answer:

-1,0,2,-2,0 in that order

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Solve the inequality.<br> - 16 - 4x _&lt;0<br> The solution is x
Scrat [10]

Answer:

the answer for will be x≥-4

5 0
3 years ago
On Saturday, Nicole earns no more than $55 at her job. On Sunday, she earns at least $40. Which of these inequalities represent
makkiz [27]

Answer:

B

Step-by-step explanation:

use your head

7 0
2 years ago
Read 2 more answers
I NEED HELP PLEASE HELP ME
Aloiza [94]
Answer:
294.14cm^2

Explanation:

First find the area of the whole piece of paper:
32*14=448

Then find the area of the two semicircles, semicircle + semicircle = 1 circle:

Area of a circle= (radius squared)(pi):
(7^2)(3.14) = 153.86

Subtract the area of the two semicircles from the whole paper area:
448-153.86 = 294.14


I hope this isn’t too confusing :)


5 0
3 years ago
Other questions:
  • Please help me I don't get it
    8·1 answer
  • Which ratio would allow you to conver from 45 cm into feet
    5·1 answer
  • For some reason it keeps telling me my answer is wrong please help.
    11·1 answer
  • Compute the function table Draw the graph of each function<br><br> f(x) = 2x+1
    8·1 answer
  • Tino's Pizza charges $9 for a cheese pizza.Eileen has 45$ to buy pizza for the Spanish club.Write and solve an inequality to fin
    10·1 answer
  • Which equation represents y=13x-12
    8·2 answers
  • Select ALL the equations represented by this tape diagram.
    14·2 answers
  • What is the solution to this system of linear equations?
    13·2 answers
  • Given the piecewise function shown below, select all of the statements that are true.
    11·1 answer
  • Can someone please help me with this question
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!