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
Anni [7]
2 years ago
5

Two boats leave the same place at the same time. The first boat heads due north at 10 kilometers per hour. The second boat heads

due west at 16 kilometers per hour. After 2.5 hours, how fast is the distance between the boats increasing
Mathematics
1 answer:
Maksim231197 [3]2 years ago
4 0

Answer:

18.87 km/hr

Step-by-step explanation:

First boat is heading North with a speed of 10 km/hr.

Second boat is heading West with a speed of 16 km/hr.

Time for which they move = 2.5 hours

To find:

The speed at which the distance is increasing between the two boats.

Solution:

Let the situation be represented by the attached diagram.

Their initial position is represented by point O from where they move towards point A and point B respectively.

Distance = Speed \times Time

Distance\ OA = 10 \times 2.5 = 25\ km

Distance\ OB = 16 \times 2.5 = 40\ km

We can use Pythagorean Theorem to find the distance AB.

AB is the hypotenuse of the right angled \triangle AOB.

According to Pythagorean theorem:

\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^2 = 25^2 + 40^2\\\Rightarrow AB^2 = 2225^2\\\Rightarrow AB^2 \approx 47.17\ km

The speed at which distance is increasing between the two boats is given as:

\dfrac{47.17}{2.5} \approx 18.87\ km/hr

You might be interested in
The school band is selling raffle tickets for $2. If Kyle spent p dollars on tickets this week and q dollars on tickets the week
Alex

Answer:

Tickets = p/2 + q/2

Step-by-step explanation:

I don't understand the options, as written.

The answer should be Tickets = p/2 + q/2

If q = 10 and p = 20, Kyle would have bought 5 tickets the week before, and 10 tickets this week.

5 0
2 years ago
Read 2 more answers
Carol makes a scale drawing of her school using a scale of 8cm:12m. If the length of the playground on the scale drawing is 12.4
mojhsa [17]
A scale of 8cm:12cm would be a scale of 2/3. since this is the case, we can divide the scale drawing of the playground by the scale factor to get the length of the actual playground

12.4/0.6666 = 18.6

The answer is 18.6
6 0
3 years ago
Can someone pleaseeee help and if you’re correct i’ll give brainliest
balandron [24]

Answer:

the first one

Step-by-step explanation:

8 0
3 years ago
If 1/10m = 1/11m + 1/1100, what is the value of m?
valentinak56 [21]
\frac{1}{10m} =  \frac{1}{11m} +  \frac{1}{1100} 

\frac{1}{10m} =  \frac{1*1100 + 1*11m}{11m*1100}
\frac{1}{10m} =  \frac{1100 + 11m}{12100m}
1*12100m = 10m(1100 + 11m)
12100m = 11000m + 110 m^{2}
12100m-11000m = 110 m^{2}
1100m = 110 m^{2}
m=10
3 0
3 years ago
Read 2 more answers
Find a bijection from (0,1] to (0,1)<br><br> Math: Analysis and proof
gregori [183]

Answer with explanation:

The meaning of bijection for two sets X and Y is each and every element of X is uniquely related with element of set Y and when you take the inverse mapping every element of set Y is uniquely related with each and every element of Set X.

The two sets given are

X=(0,1]---------Semi open or Semi closed Set

Y=(0,1)---------Closed set

Between any two real numbers there are infinite number of real numbers.So cardinal number of both the sets is infinite.

There can be infinite bijection between these two sets as both sets have infinite number of elements.

   X                      Y

0.1  -------------      0.01

0.2     -------          0.02

0.3     --------         0.03

0.4     ---------          0.04

-------------------------

------------------------------

-------------------------------

--------------------------------------

8 0
3 years ago
Other questions:
  • Which is shorter 96in or 12ft
    8·1 answer
  • Simplify the expression.<br> 0.24 – 1.6
    14·2 answers
  • The table below shows some values of f(x) and g(x) for different values of x: x f(x) = 2x + 24 g(x) = 5(0.5)x −2 20 −1 0 5 1 2.5
    5·1 answer
  • What is the 8th term of the geometric sequence a2 = 20 and r = 5
    14·1 answer
  • If one endpoint of a line segment is (2, 8) and the midpoint is (-4, 7), what is the other endpoint? (8, -5)
    13·1 answer
  • it costs $4.65 for a chicken sandwich, $1.85 for milk and 45c for a lollipop in a cafe. How ,uch change from $15 will i get if i
    12·2 answers
  • Love this called sketch a graph of the polynomial function f(x)=x^3-6x^2+3x+10. Use it to complete the following:
    8·1 answer
  • You want to buy a pet rabbit that costs ​$242. You already have ​$62 and you plan to save ​$12 per week. If w represents the num
    12·1 answer
  • Which equation is parallel to<br> y =2/3x – 6 and passes through (9, -3)?
    8·2 answers
  • The casino will pay you $20 for every dollar you bet if your number comes up. How much profit is the casino making on the bet
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!