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Vladimir79 [104]
3 years ago
5

Four towns are located along a

Mathematics
1 answer:
Tamiku [17]3 years ago
5 0

Answer:

30 miles

Step-by-step explanation:

thank you have a good day and take care be safe :)

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--------------<br><br><br>1+1 <br><br><br>---------------<br>​
Svetach [21]

Answer:

2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Two boats leave a dock at the same time. One boat travels south at 32 mi divided by hr32 mi/hr and the other travels east at 60
TEA [102]

Answer: the rate at which the distance between the boats is​ increasing is 68 mph

Step-by-step explanation:

The direction of movement of both boats forms a right angle triangle. The distance travelled due south and due east by both boats represents the legs of the triangle. Their distance apart after t hours represents the hypotenuse of the right angle triangle.

Let x represent the length the shorter leg(south) of the right angle triangle.

Let y represent the length the longer leg(east) of the right angle triangle.

Let z represent the hypotenuse.

Applying Pythagoras theorem

Hypotenuse² = opposite side² + adjacent side²

Therefore

z² = x² + y²

To determine the rate at which the distances are changing, we would differentiate with respect to t. It becomes

2zdz/dt = 2xdx/dt + 2ydy/dt- - - -- - -1

One travels south at 32 mi/h and the other travels east at 60 mi/h. It means that

dx/dt = 32

dy/dt = 60

Distance = speed × time

Since t = 0.5 hour, then

x = 32 × 0.5 = 16 miles

y = 60 × 0.5 = 30 miles

z² = 16² + 30² = 256 + 900

z = √1156

z = 34 miles

Substituting these values into equation 1, it becomes

2 × 34 × dz/dt = (2 × 16 × 32) + 2 × 30 × 60

68dz/dt = 1024 + 3600

68dz/dt = 4624

dz/dt = 4624/68

dz/dt = 68 mph

6 0
3 years ago
Rearrange the formula, a=1/2bh , to solve for b in terms of A and h.
Kryger [21]
Multiply both sides by 2 to cancel out the 1/2 and you get 2a=bh then divide both sides by h to isolate b and you get (2a)/h=b
7 0
3 years ago
please help me i have a huge science test that i have to study for after this so PLEASE HELP ME GET THE ANSWER
enot [183]
Usually, quadratic equations equal 0, and to find the solution you need to make x equal the value that, when added or subtracted to the rest of its bracket, makes 0. This means that your answer is (x + 5)(x - 2) = 0, because 5 - 5 = 0 and 2 - 2 = 0. I hope this helps! Let me know if you would like me to explain further :)
4 0
3 years ago
Solve the system of equations using multiplication.
salantis [7]

Answer:

B. (-3, -2)

Step-by-step explanation:

Multiply the first equation by -1/3 and add the result to the second equation.

-1/3(3x -3y) +(5x -y) = -1/3(-3) +-13

4x = -12 . . . . simplify

x = -3 . . . . . . divide by 4

Substituting this into -1/3 times the first equation, we get ...

-(-3) +y = 1

y = -2 . . . . . . . subtract 3

The solution is (x, y) = (-3, -2).

6 0
3 years ago
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