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igomit [66]
3 years ago
14

Pls help Pls help Pls help

Mathematics
1 answer:
Tom [10]3 years ago
8 0

Answer:

x=21 degrees

Step-by-step explanation:

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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
Hey can you please help me with this
Tasya [4]

x=-11

Hope this helps :T

8 0
2 years ago
Last week, labron jogged for 2 1/4 miles. This week , he plants to jog 2 times as far as last week. How many miles does Lebron P
Shtirlitz [24]

Answer:

4.5 miles

Step-by-step explanation:

2 times as far as last week

last week was 2.25 miles

2* 2.25 = 4.5 miles

7 0
3 years ago
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Best hockey player hands down is?
stiv31 [10]

Answer:

Step-by-step explanation:

Sidney Crosby, Pittsburgh Penguins

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2 years ago
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What regular polygon has an interior angle of 156 degrees
icang [17]

Answer:

regular pentadecagon

Step-by-step explanation:

it has 15 sides

that is what matches the exterior angled sum property - 360degree

let me explain it

1 side = 180 - 156 = 24

360/24 = 15

mark me brainliest and thank me if you like the answer

4 0
2 years ago
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