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
lesya [120]
3 years ago
13

Boat A leaves a dock headed due east at 2:00PM traveling at a speed of 9 mi/hr. At the same time, Boat B leaves the same dock tr

aveling due south at a speed of 15 mi/hr. Find an equation that represents the distance d in miles between the boats and any time t in hours.
Mathematics
1 answer:
netineya [11]3 years ago
7 0

Answer: 17.5t

Step-by-step explanation:

Given

Speed of boat A is v_a=9\ mi/hr

Speed of boat B is v_b=15\ mi/hr

Both are moving perpendicular to each other

Distance traveled by Boat A x_a=9t

Distance traveled by Boat B x_b=15t

Distance between them is given by Pythagoras theorem

\Rightarrow d^2=(x_a)^2+(x_b)^2\\\\\Rightarrow d^2=(9t)^2+(15t)^2\\\\\Rightarrow d=\sqrt{(9t)^2+(15t)^2}\\\\\Rightarrow d=\sqrt{81t^2+225t^2}\\\\\Rightarrow d=\sqrt{306t^2}\\\\\Rightarrow d=17.49t\approx 17.5t\ \text{miles}

Distance between them is 17.5t

You might be interested in
Are the triangles similar? If so, state the similarity and the postulate or theorem that justifies your answer.
malfutka [58]

The triangles are similar by SAS principle.

<h3>How to know similar triangles?</h3>

Similar triangles have the same shape but may have different sizes.

In similar triangles, corresponding sides are always in the same ratio.

The corresponding angles are congruent.

Therefore, using SAS ratio,

6 / 8 = 8 × 3 / 32

6 / 8  = 24 / 32 = 3 / 4

Therefore, the corresponding sides are a ratio of each other.

Therefore, the triangles are similar by SAS principles because the two triangles have two pairs of sides in the same ratio and the included angles are also equal

learn more on similar triangle here: brainly.com/question/21480885

#SPJ1

6 0
2 years ago
Find the solution to the system of equations. You can use the interactive graph below to find the solution. { y = x − 4 y = 4 x
kumpel [21]

ANSWER

x=-2,y=-6

EXPLANATION

First equation:

y = x - 4

Second equation:

y = 4x + 2

Let us equate the two equations and solve for x.

This implies that;

4x + 2 = x - 4

Group similar terms to obtain:

4x - x =  - 4 - 2

Simplify:

3x =  - 6

Divide both sides by 3

x =  - 2

Put x=-2 into any of the equations.

I will put x=-2 into the first equation:

y =  - 2 - 4

This implies that,

y =  - 6

7 0
3 years ago
Read 2 more answers
which numbers below can be placed in an empty cell so that the table continues to represent a fuction
serg [7]

Where is the table? I need to see a table to give the answer

6 0
3 years ago
A book is in the shape of a right rectangular prism. It measures 8 1/2 inches tall, 7 inches wide, and 2 1/2 inches thick. What
Alenkasestr [34]
Hello!

The formula for volume of a rectangular prism is:

V = lwh

Let's convert the dimensions to decimals, and then use the formula to solve.

8 1/2 = 8.5 as a decimal.

7 = 7 as a decimal.

2 1/2 = 2.5 as a decimal.

Multiply:

V = 8.5 × 7 × 2.5

V = 59.5 × 2.5

V = 148.75

148.75 = 148 3/4 as a fraction because if you convert 3/4 to a decimal by dividing the numerator by the denominator, it equals 0.75.

ANSWER:

The volume of the book is 148 3/4 inches cubed.

6 0
3 years ago
Read 2 more answers
What digit could be in the ten millions place of a number that is greater than 25 million but less than 73 million
irga5000 [103]
26-72 million because It has to be greater than 25 and less than 73 so you you a number in between
6 0
3 years ago
Other questions:
  • Stephen is baking cookies for his school bake sale. He bakes 300 cookies.
    6·1 answer
  • A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 9% vinegar, and the second brand co
    5·1 answer
  • Will 5 1/5 x 2/5 be larger or smaller than 5 1/5
    10·1 answer
  • 7. A clothing salesman wants to earn $6,000 in March. He receives a base salary of $4,000 per month as well as a 10% commission
    12·1 answer
  • Mandy has an IQ of 115. We know that the mean () IQ is 100 with a standard deviation of 15. There are 100 people in Mandy’s Alc
    15·1 answer
  • Please help it due ASAP <br> Show workings!
    5·1 answer
  • What was the original price of a bookshelf whose price is $16, when there is a sale for 75% off of the original price?
    9·1 answer
  • Which of the following graphs could represent a 6th-degree polynomial function, with 3 distinct zeros, 1 zero with a multiplicit
    6·1 answer
  • Given (21,7) and (x,<br> 1), find all x such that the distance between these two points is 17.
    12·1 answer
  • 1. A bag contains red apples and yellow apples. The ratio of red apples to yellow apples in the bag is 9 to 4. How many apples a
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!