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
lesya692 [45]
3 years ago
12

Distance Between Two Ships Two ships leave the same port at noon. Ship A sails north at 14 mph, and ship B sails east at 18 mph.

How fast is the distance between them changing at 1 p.m.? (Round your answer to one decimal place.)
Mathematics
1 answer:
Murrr4er [49]3 years ago
5 0

Answer:

c = 22.8 miles/hr

Step-by-step explanation:

The ship A sails north at the rate of 14 mile per hour , it represent the opposite side of a triangle. Ship B start at the same point and move east at the rate of 18 miles per hour, it represent the adjacent side.

The other rate telling you how fast the distance between them are changing can be computed using the Pythagorean theorem, since the change in time is 1 hour. From 12 noon to 1 pm.

c = ?

a = 14

b = 18

c² = a² + b²

c² = 14² + 18²

c² = 196  + 324

c² = 520

c = √520

c = 22.803508502

c = 22.8 miles/hr

You might be interested in
Please help, I really need this
Nady [450]

9514 1404 393

Answer:

  (a) -- the correct choice is highlighted

Step-by-step explanation:

The units of specific heat tell you what quantities make up the ratio.

  \dfrac{390\text{ J}}{1\text{ kg$\cdot^\circ$C}}=\dfrac{-12.0\text{ J}}{0.012\text{ kg}\cdot\Delta T}\\\\\Delta T=\dfrac{-12.0}{0.012\cdot390}\ ^\circ\text{C}\approx-2.56\text{ $^\circ$C}

The temperature will decrease by 2.56 C.

4 0
3 years ago
Word bank please help
anastassius [24]
X rays=E
Microwaves=A
Gamma rays=C
Radio waves=F
Infrared waves=D
Ultraviolet waves=B
8 0
2 years ago
Lines c and d are parallel lines cut by transversal p.
bearhunter [10]
First, let's start off, let us define what are corresponding angles. When a transversal, which is a line that passes through two parallel lines, then the angles in the same corners are congruent.

Using this definition, the angles ∠2 is congruent to ∠6.
4 0
3 years ago
Read 2 more answers
Find the area of each regular polygon. Round to the nearest tenth.
Iteru [2.4K]

Answer:

I think it is C if you have a base nuber of 7 that is at least halfway acros it it can not be over 100

Step-by-step explanation:

6 0
3 years ago
Work out the volume of the shape​
pashok25 [27]

Answer:

\large\boxed{V=\dfrac{1,421\pi}{3}\ cm^3}

Step-by-step explanation:

We have the cone and the half-sphere.

The formula of a volume of a cone:

V_c=\dfrac{1}{3}\pi r^2H

r - radius

H - height

We have r = 7cm and H = (22-7)cm=15cm. Substitute:

V_c=\dfrac{1}{3}\pi(7^2)(15)=\dfrac{1}{3}\pi(49)(15)=\dfrac{735\pi}{3}\ cm^3

The formula of a volume of a sphere:

V_s=\dfrac{4}{3}\pi R^3

R - radius

Therefore the formula of a volume of a half-sphere:

V_{hs}=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi R^3=\dfrac{2}{3}\pi R^3

We have R = 7cm. Substitute:

V_{hs}=\dfrac{2}{3}\pi(7^3)=\dfrac{2}{3}\pi(343)=\dfrac{686\pi}{3}\ cm^3

The volume of the given shape:

V=V_c+V_{hs}

Substitute:

V=\dfrac{735\pi}{3}+\dfrac{686\pi}{3}=\dfrac{1,421\pi}{3}\ cm^3

7 0
3 years ago
Other questions:
  • Find the the measure of angle C
    7·1 answer
  • Can you guys help out please asap
    13·1 answer
  • If a square has an area of 81 square how long is each side ?
    14·1 answer
  • Solve the following expression when x = 4, and y = -3.<br> -4(3x - 2y)
    8·2 answers
  • Determine the​ value(s) of h such that the matrix is the augmented matrix of a consistent linear system. [Start 2 By 3 Matrix 1s
    7·1 answer
  • What is GC? <br> I need help Please!
    10·1 answer
  • 9+15÷5×13 can someone help me solve this math question ?​
    8·1 answer
  • 4. If 3x − 1 = 11, the 2x = ?<br> a. 20/3<br> b. 2<br> c. 4<br> d. 8<br> e. 72
    14·2 answers
  • HELPP URGENTT 20 POINTS
    12·2 answers
  • Meg is 6 years older than Victor. Meg's age is 2 years less than five times Victor's age. The equations below model the relation
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!