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
lyudmila [28]
3 years ago
8

On a town map, each unit of the coordinate plane represents 1 mile. Three branches of a bank are located at A(−3, 1), B(3, 4), a

nd C(3, −2). A bank employee drives from Branch A to Branch B and then drives halfway to Branch C before getting stuck in traffic. What is the minimum total distance the employee may have driven before getting stuck in traffic? Round to the nearest tenth of a mile if necessary.
The minimum total distance the employee may have driven before getting stuck in traffic is ____ miles.
Mathematics
1 answer:
Mumz [18]3 years ago
7 0

Answer:

9.7 miles

Step-by-step explanation:

The shortest distance between 2 points is a straight line

The distance from point A to point B is

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

d = sqrt( ( 3 - -3)^2 + ( 4-1) ^2)

d = sqrt( ( 6)^2 + ( 3) ^2)

d = sqrt(36+9)

d = sqrt(45)

d =6.7  to the nearest tenth

The distance from point B to point C is

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

d = sqrt( ( 3 - 3)^2 + ( -2-4) ^2)

d = sqrt( ( 0)^2 + ( -6) ^2)

d = sqrt(36)

d = 6

But They only made it half way so 1/2 (6) =3

Add the distances together

6.7+3 = 9.7 is the minimum distance

You might be interested in
A jet is coming in for a landing. It's currently 25,000 feet in
Mariana [72]

The angle of depression is 29.0521°. So it is a safe landing.

Step-by-step explanation:

Step 1:

The plane is flying at a height of 25,000 feet and 45,000 feet away from the landing strip. Assume it lands with an angle of depression of x°.

So a right-angled triangle can be formed using these measurements. The triangle's opposite side measures 25,000 feet while the adjacent side measures 45,000 feet. The angle of the triangle is x°.

To determine the value of x, we calculate the tan of the given triangle.

tanx = \frac{opposite side}{adjacent side}.

Step 2:

The length of the opposite side = 25,000 feet.

The length of the adjacent side = 45,000 feet.

tan x = \frac{25,000}{45,000} = 0.5555.

So x = 29.0521°. Since x < 30°, it is a safe landing.

8 0
4 years ago
Please help ASAP!
Kruka [31]

First, recall that

\sin(-\theta)=-\sin\theta

So if \sin(-\theta)=\dfrac15, then \sin\theta=-\dfrac15.

Second,

\tan\theta=\dfrac{\sin\theta}{\cos\theta}

We know that \tan\theta>0 and \sin\theta, which means we should also have \cos\theta.

Third,

\sin^2\theta+\cos^2\theta=1\implies\cos\theta=\pm\sqrt{1-\sin^2\theta}

but as we've already shown, we need to have \cos\theta, so we pick the negative root.

Finally,

\tan\theta=\dfrac{\sin\theta}{\cos\theta}\iff\dfrac6{\sqrt{12}}=\dfrac{-\frac15}{\cos\theta}\implies\cos\theta=-\dfrac1{5\sqrt3}

Unfortunately, none of the given answers match, so perhaps I've misunderstood one of the given conditions... In any case, this answer should tell you everything you need to know to find the right solution from the given options.

6 0
4 years ago
If a(x)=2x-4 and b(x) =x+2, which of the following expressions produces a quadratic function?
ZanzabumX [31]

Answer:

(ab)(x)

Step-by-step explanation:

The complete question in the attached figure

we have

a(x)=2x-4\\b(x)=x+2

we know that

(ab)(x) is equal to the product of a(x) and b(x)

so

(ab)(x)=(2x-4)(x+2)

Applying distributive property

(ab)(x)=2x(x)+2x(2)-4(x)-4(2)

(ab)(x)=2x^2+4x-4x-8

(ab)(x)=2x^2-8

This is a quadratic equation

The other expressions not produce a quadratic equation

5 0
3 years ago
I don’t get this can someone please help me?
FinnZ [79.3K]
The price difference/ the original price and times the whole equation by 100 (to get the percentage).

> ($50/$150) x 100 = 33% (rounded)
7 0
3 years ago
Read 2 more answers
I need help and someone quick 5m &lt; ABC=540
sergey [27]

Answer:

Step-by-step explanation:

So abc = 789.0

4 0
4 years ago
Other questions:
  • Movie theater makes 40% on every ticket they sell. If the theater made $24,850 in ticket sales last month, what was the total mo
    10·1 answer
  • Gwen plants two fifths of her garden in potatoes and one sixty of her garden in carrots. What fraction of the garden remains for
    11·1 answer
  • SOMEONE DO THE WORK FOR 13 ITS DUE IN 3 MINUETS
    10·1 answer
  • Solve for x 11 - 13x - 7 - 2x = 7
    9·2 answers
  • The data shown on the scatter plot below demonstrates the relationship between the time of day and the total number
    13·1 answer
  • Robert sliced a large loaf of bread to make 12 sandwiches. He makes 3 turkey sandwiches and 5 veggie sandwiches. What fraction o
    9·2 answers
  • During the basketball season,Josh pitched to 270 batters. he struck out 70% how many batters did he strike out
    15·1 answer
  • A car is traveling at a steady speed. It travels 1 3/4 miles in 2 1/3 minutes. How far will it travel in 45 minutes? In 1 hour?
    8·1 answer
  • Answer the question in the pic :)
    12·1 answer
  • Which property is illustrated?<br> For every expression a, a = a.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!