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
Alenkinab [10]
3 years ago
6

Two row boats start at the same location, and start traveling apart along straight lines which meet at an angle of π3. Boat A is

traveling at a rate of 5 miles per hour directly east, and boat B is traveling at a rate of 10 miles per hour going both north and east. How fast is the distance between the rowboats increasing 3 hours into the journey?
Mathematics
1 answer:
alina1380 [7]3 years ago
5 0

Answer:

  5√3 miles per hour

Step-by-step explanation:

Throughout their journey, the component of velocity of rowboat B to the east is the same as that of rowboat A:

  (10 mph)(cos(π/3)) = 5 mph

Meanwhile, the component of velocity of rowboat B to the north is ...

  (10 mph)(sin(π/3)) = 5√3 mph

Since rowboat A is always traveling in a direction that is at right angles to the direction between the boats, it contributes nothing to their relative speed. Since rowboat B is always directly north of rowboat A, its speed to the north is their relative speed.

The distance between the rowboats is increasing at 5√3 mph ≈ 8.66 mph.

You might be interested in
Find the quotient 115.338 ÷ 2.82​
MaRussiya [10]

Answer:

The quotient is 40.9

6 0
3 years ago
Between 02 30 and 05 30,the same day,the volume of water in a reservoir increased from 6000 L to 18 000 L.What was the average r
irinina [24]

Answer:

4,000 L/h

Step-by-step explanation:

First we'll find the amount of the change.

18,000 - 6,000 = 12,000 L

The time of the volume change was 3 hours: 0230 - 0530

Since we're looking for liters per hour, we will divide the liters (12,000) by the hours (3)

12,000/3 = 4,000 L/h

3 0
3 years ago
13. For what value of b would the following system of equations have an infinite number of solutions?
tiny-mole [99]

Answer:

b=2

Step-by-step explanation:

we have

9x+12y=21 -----> equation A

6x+8y=7b ----> equation B

we know that

If the system of equations have an infinite number of solutions then the equation A must be equal to the equation B

Multiply equation B by 1.5 both sides

1.5*[6x+8y[=7b*1.5

9x+12y=10.5b ----> equation C

Compare equation A and equation C

9x+12y=21 -----> equation A

9x+12y=10.5b ----> equation C

For the equations to be equal it must be fulfilled that

21=10.5b

solve for b

b=21/10.5

b=2

5 0
3 years ago
7X(-3)X(-2)^2=?<br> I suck at math
marshall27 [118]

Answer:

-84

Step-by-step explanation:

6 0
3 years ago
The length of each side of a cube is x + 1 inches. What is the volume of the cube in cubic inches?
castortr0y [4]

Answer:

V = x³ + 3x² + 3x + 1 in³

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ( where s is the side ) , then

V = (x + 1)³

   = (x + 1)(x + 1)(x + 1) ← expand second pair using FOIL

   = (x + 1)(x² + 2x + 1) ← distribute

   = x³ + 2x² + x + x² + 2x + 1 ← collect like terms

   = x³ + 3x² + 3x + 1

3 0
3 years ago
Other questions:
  • Solve a/b x - c = 0 for x.
    6·1 answer
  • Help me plz I beg you
    9·1 answer
  • 46,054,202 round the underlined number the 5 isunderlined 
    5·1 answer
  • Which statement best explains why the dilation of a triangle produces a similar triangle
    10·1 answer
  • How can you write the equation for a linear function if you
    7·1 answer
  • How do I do this ??
    6·2 answers
  • Unit4: Congruent Triangles Hw 1: Classifying Triangles Gina Wilson (All things algebra) 2014
    10·2 answers
  • Find the values of x and y.
    5·1 answer
  • Point upper D left parenthesis negative 3 comma 5 right parenthesis. is a vertex of triangle DEF. After a rotation of the triang
    10·1 answer
  • Which point is located at -5/8
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!