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
Lostsunrise [7]
3 years ago
7

Suppose y varies inversely with x and y=20 when x=5. Write an equation for the inverse variation.

Mathematics
1 answer:
Viktor [21]3 years ago
4 0
K = 20 • 5 or 20 = k/5
You might be interested in
A ship leaves port and travels due west for 30 knots, then changes course to S 30° W and travels 50 more knots. Find the bearing
leva [86]

Answer:

  232°

Step-by-step explanation:

There are a couple of ways to find the desired direction. Perhaps the most straightforward is to add up the coordinates of the travel vectors.

  30∠270° +50∠210° = 30(cos(270°), sin(270°)) +50(cos(210°), sin(210°))

  = (0, -30) +(-43.301, -25) = (-43.301, -55)

Then the angle from port is ...

  arctan(-55/-43.301) ≈ 231.79° . . . . . . . 3rd quadrant angle

The bearing of the ship from port is about 232°.

_____

<em>Comment on the problem statement</em>

The term "knot" is conventionally used to indicate a measure of speed (nautical mile per hour), not distance. It is derived from the use of a knotted rope to estimate speed. Knots on the rope were typically 47 ft 3 inches apart. As a measure of distance 30 knots is about 1417.5 feet.

5 0
3 years ago
Find the measure of
koban [17]

Answer:

m∡GHI = 21°

Step-by-step explanation:

Since the lines are intersecting, GHI and JHK are opposite angles, so they are the same measure.

That means you can set them equal to each other

x + 7 = 3x - 21

x = 14

Now plug x into GHI

14 + 7 = 21

m∡GHI = 21°

7 0
3 years ago
Ben has a collection of 812 stamps. He gives his brother 345 stamps. About how many stamps Ben have left?
Anvisha [2.4K]
Ben has 467 stamps left
7 0
3 years ago
Read 2 more answers
There are a total of 122 countries in Africa, Europe, and North America (as of 2003). Europe has twice as many countries as Nort
Eddi Din [679]
A + E + N = 122
E = 2N
A = 7 + E....A = 7 + 2N

(7 + 2N) + 2N + N = 122
5N + 7 = 122
5N = 122 - 7
5N = 115
N = 115/5
N = 23 <== North America

E = 2N
E = 2(23)
E = 46 <== Europe

A = 7 + E
A = 7 + 46
A = 53 <=== Africa
8 0
3 years ago
Find the value of X <br><br> PLEASE
Oliga [24]

Answer:

x ≈ 18

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Trigonometry</u>

Law of Cosines: a^2 = b^2 + c^2 - 2(b)(c)cosA

  • a is a side length
  • b is a side length
  • c is a side length
  • A is an angle corresponding with side a

Step-by-step explanation:

<u>Step 1: Define</u>

a = x

A = 30°

b = 16

c = 30

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute:                    x² = 16² + 30² - 2(16)(30)cos30°
  2. Exponents:                   x² = 256 + 900 -2(16)(30)cos30°
  3. Evaluate:                       x² = 256 + 900 -2(16)(30)(√3/2)
  4. Multiply:                        x² = 256 + 900 - 480√3
  5. Add:                              x² = 1156 - 480√3
  6. Subtract:                       x² = 324.616
  7. Isolate <em>x</em>:                       x = √324.616
  8. Evaluate:                       x = 18.0171
  9. Round:                          x ≈ 18
3 0
2 years ago
Other questions:
  • What is 19 times 14 estimated
    9·2 answers
  • Quincy uses the quadratic formula to solve for the values of x in a quadratic equation. He finds the solution, in simplest radic
    6·2 answers
  • The volume of the rectangular solid below is 1,440 cubic inches. What could be the length and width of this rectangular solid?
    9·1 answer
  • IF YOU ARE READING THIS U HAVE TO HELP :)
    9·1 answer
  • Hhhhhhhhhhhheeeeeeeellllllpppppp
    7·2 answers
  • Which proportion can be used to determine p, the percent of the flock that has spots?
    9·2 answers
  • A type of origami paper comes in 15 cm by 15 cm
    8·1 answer
  • A pool is being filled at a constant rate of 5 gallons every 2 minutes. Which graph has a slope that best represents this rate?
    14·1 answer
  • Ok i need helpppp...............
    9·1 answer
  • Determine which, if any, of the three statements are equivalent.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!