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
Lera25 [3.4K]
3 years ago
5

A submarine left Diego Garcia five hours before a cruise ship. The ships traveled in opposite directions. The cruise ship travel

ed at 19 mph for seven hours. After this time the ships were 241 mi. apart. Find the submarine’s speed.
Mathematics
1 answer:
Rina8888 [55]3 years ago
4 0

Answer:

The speed of the submarine is 15.429 miles per hour.

Step-by-step explanation:

Let suppose that both ships travel at constant velocities. As we know that both travel in opposite directions, it is supposed that cruise ship moves in +x direction, whereas submarine in -x direction. Kinematic equations for each sheep are described below:

Ship

x_{Sh} = x_{o} + v_{Sh}\cdot t

Submarine

x_{Su} = x_{o}+v_{Su}\cdot t

Where:

x_{o} - Position of Diego Garcia island, measured in miles.

x_{Sh}, x_{Su} - Current positions of ship and submarine, measured in miles.

v_{Sh}, v_{Su} - Velocities of ship and submarine, measured in miles per hour.

t - TIme, measured in hours.

If we know that x_{Sh} - x_{Su} = 241\,mi, v_{Sh} = 19\,\frac{mi}{h} and t = 7\,h, then:

x_{Sh} - x_{Su} = (v_{Sh}-v_{Su})\cdot t

We clear now the velocity of submarine:

\frac{x_{Sh}-x_{Su}}{t} = v_{Sh}-v_{Su}

v_{Su} = v_{Sh}-\frac{x_{Sh}-x_{Su}}{t}

v_{Su} = 19\,\frac{mi}{h} -\frac{241\,mi}{7\,h}

v_{Su} = -15.429\,\frac{mi}{h}

Speed of the submarine is the magnitude of its velocity, which is 15.429 miles per hour.

You might be interested in
How would i solve this? SOLVE FOR TU
creativ13 [48]
First subtract 30-23 that’d be the value of UV(7) now subtract 18 from 7, the answer will be 11 therefore TU is 11.
7 0
1 year ago
Find the difference between (-11,-11) and (-12,-8) round answer to the nearest hundredth
lisov135 [29]

Answer:

Step-by-step explanation:

The two points can be made into a right triangle with the two sides defined by   two lines drawn from the two given points.  Use the Pythagorean Theorem to solve for the hypotenuse, the distance between the two points.  See attached graph.

6^2 + 2^2 = x^2

36 + 4 = x^2

x^2 = 40

x = 6.32

3 0
2 years ago
What is a vertex . Please explain Thanks..
drek231 [11]

Step-by-step explanation: In geometry, a vertex is where two rays share a common endpoint or where they interest each other.

The rays are called the sides of the angle and

common endpoint is called the vertex.

The vertex is very important when naming angles because

the vertex is always at the center when naming the angle.

Below is an example of two rays that share a

common endpoint which is called the vertex.

3 0
3 years ago
The volume for a rectangular prism is given by the formula V = l · w · h, where l is the length of the prism, w is the width of
Charra [1.4K]

Answer:

4

Step-by-step explanation:

devide 144 by 9

get 16

The base squared is 16

find the root of 16

get 4

4 is your awnser

4 0
3 years ago
Triangle EFG is dilated by a scale factor of 3 centered at (0, 1) to create triangle E'F'G'. Which statement is true about the d
jolli1 [7]

Answer:

Segment EH and segment E prime H prime both pass through the center of dilation (A)

The complete question related to this found on brainly (ID:16812154) is stated below:

Triangle EFG is dilated by a scale factor of 3 centered at (0, 1) to create triangle E'F'G'. Which statement is true about the dilation?

E(0,5) F(1,1) G(-2,1) H(0,1)

a) segment EH and segment E prime H prime both pass through the center of dilation.

b)The slope of segment EF is the same as the slope of segment E prime H prime.

c) segment E prime G prime will overlap segment EG. segment

d) EH ≅ segment E prime H prime.

Step-by-step explanation:

∆EFG = Original image

∆EFG is dilated to give ∆E'F'G'

∆E'F'G' = New image

Scale factor = 3

Center of dilation = (0,1) = H(0,1)

Coordinates ∆EFG : E(0,5) F(1,1) G(-2,1)

To determine the statement that is true about the dilation from the options,

First we would make a diagram on the coordinates of ∆EFG and center of dilation (H).

Find attached the diagram.

Length GF = 3unit

Length G'F' = 3×scale factor = 9unit

Length EH = 4unit

Length E'H' = 4×scale factor = 12unit

Then we would move 3units to the left on same line from G to get the coordinate of G'(mark the point).

Also move 3units to the right on same line from F to get the coordinate of F'(mark the point).

Both of these give length of G'F' = 9unit

Now move 8units to the top from E to get the coordinate of E'(mark the point).

From this you get length E'H' = 12unit

Draw lines connecting the three points to get ∆E'F'G'

See diagram for better understanding

From the diagram, EH and E'H' both pass through (0,1). The other options are wrong.

Therefore, Segment EH and segment E prime H prime both pass through the center of dilation (A)

5 0
3 years ago
Other questions:
  • Help me, please.......
    5·1 answer
  • Solve: A rock is thrown upward with an initial velocity of 16 ft/s from an initial height of 5 ft.
    10·1 answer
  • In an experiment, the probability that event A occurs is
    12·2 answers
  • PLEASE HELP me
    5·1 answer
  • On a certain day in Alaska, the probability of low seismic activity for the next 24 hours was reported to be about 1%. Use this
    10·1 answer
  • The question is in the picture.
    11·1 answer
  • How do I solve 5x/6=-8 to get the answer
    9·1 answer
  • The number of girls in a school band is 6 more than twice the number of boys There are 98 girls in the band How many boys are in
    15·1 answer
  • 5x+8+3x+4=-40+4 plssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
    5·1 answer
  • Tate and his family went to the Olive Garden for dinner. Their bill was $68.20 and they plan to leave a 20% tip for their server
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!