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
geniusboy [140]
4 years ago
7

A lawyer drives from her​ home, located 2 miles east and 3 miles north of the town​ courthouse, to her​ office, located 5 miles

west and 21 miles south of the courthouse. find the distance between the​ lawyer's home and her office. the distance between her home and her office is nothing miles.
Mathematics
1 answer:
LekaFEV [45]4 years ago
7 0
Let <span>the town​ courthouse be the origin of coordinate plane, the positive direction of x-axis is west and negative direction is east, the positive direction of y-axis is north and negative direction is south. Then a lawyer home has coordinates (-2,3) and lawyer office has coordinates (5, -21).
</span>
Use the distance formula d= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2} to get the <span>distance between lawyer's home and office:
</span><span>
</span><span /> d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}=\sqrt{(-2-5)^2+(3-(-21))^2}=
=\sqrt{7^2+24^2}  =  \sqrt{49+576} =  \sqrt{625} =25.
Answer: 25 miles.

You might be interested in
2. Find the value of x and y rounded to the nearest tenth.
SVETLANKA909090 [29]

Using relations in a right triangle, it is found that the values of x and y are given by: x = 24, y = 46.4, given by option a.

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

  • The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
  • The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
  • The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

First, we start with the vertical line h that divides y, that is <u>opposite to an angle of 30º, with hypotenuse 34</u>, hence:

sin(30º) = h/34

0.5 = h/34

h = 17.

Then, h is opposite to an angle of 45º, while the hypotenuse is x, hence:

\sin{45^\circ} = \frac{17}{x}

x = \frac{17}{\sin{45^\circ}}

x = 24.

y is divided into two segments.

  • The first is the adjacent to the angle of 30º, while the hypotenuse is 34.
  • The second is adjacent to the angle of 45º, while the hypotenuse is 24.

Then:

\cos{30^\circ} = \frac{y_1}{34}

y_1 = 34\cos{30^\circ} = 29.4

\cos{45^\circ} = \frac{y_2}{24}

y_2 = 24\cos{45^\circ} = 17

Then, the value of y is given by:

y = y_1 + y_2 = 29.4 + 17 = 46.4.

More can be learned about relations in a right triangle at brainly.com/question/26396675

#SPJ1

4 0
2 years ago
Need help on these 2
Ostrovityanka [42]

Answer:5. the average is 2 million for football which is not much compared to basketball and football because the average is 8.2 million for basketball and 4.17 million for baseball

Step-by-step explanation:

5 0
3 years ago
If someone type an average of 63 words per minute. how many word can they type in 135 minutes?
Rasek [7]
8505. You would do 63 times 135 to get 8505
7 0
4 years ago
Read 2 more answers
247 is 38% of what anount?
xenn [34]
93.86 is your answer.
I hope this helps!
3 0
3 years ago
Read 2 more answers
Noralie is making a necklace using a total of 48 beads. All of the beads will be either blue or yellow. She plans to use 1/3 as
Morgarella [4.7K]
Since there are a total of 48 beads and each bead will either be blue or yellow, in order to find out how many of each colour bead she will use, do the following:

Divide 48 by 3 to get 16 yellow beads.

Now that you know how many yellow beads there are, just subtract that from 48:
48 - 16 = 32

Therefore, she will use 16 yellow beads and 32 blue beads.

5 0
4 years ago
Other questions:
  • 2. Why is proper cleaning, sanitizing and disinfecting so important?
    10·2 answers
  • Gabriella expects to earn $50 in tips during her shift as a waitress today. In addition to tips, she earns $8.00 an hour. If she
    7·2 answers
  • 3. Find the volume for the rectangular prism.<br> 7.5 ft<br> 9.25 ft<br> 4 ft
    14·1 answer
  • How do i find the factors of 15?
    13·1 answer
  • An expression is equivalent to
    12·1 answer
  • Suzanne bought 50 apples at the orchard she bought four times as many red apples screen. How many more red apples and green appl
    9·1 answer
  • Uply your answer. Use integers or decimals for any numbers in the expression.
    13·1 answer
  • I need to know the answer
    7·1 answer
  • vusi leaves home at 8:00 an cycles to marks house. after 30 minutes, 10km from his home, he gets a puncture. calculate vusis spe
    7·1 answer
  • Select the correct answer. What is this expression in simplest form? A. B. C. D.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!