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Marina CMI [18]
3 years ago
14

HELP!

Mathematics
2 answers:
masha68 [24]3 years ago
8 0

Answer: C is the answer! This question can be found on USA Test Prep.

marishachu [46]3 years ago
4 0
C is the answer
...............
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Which relationship between x and y in the equation shows a proportional relationship?
Marat540 [252]

Answer:

A

Step-by-step explanation:

4 0
3 years ago
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A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m high
Agata [3.3K]

Answer:

dy/dt = 1.02 m/s

Step-by-step explanation:

First of all, let the distance of the dock above the bow of the boat be represented by x.

Also, let the distance of the boat from the dock be represented by y.

Let z represent the length of the rope.

Now, we can use pythagoras theorem to find a relationship between x, y and z since they form a right angle triangle where the vertical part is the dock, the base represents the water and the hypotenuse represents the rope.

Thus;

x² + y² = z²

Using implicit differentiation, we have;

2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)

We are given that the dock is 1 meter above the bow. Thus, x = 1

Also, the height is not changing and so dx/dt = 0

We are told the dock is 5 feet away from the boat. Thus, y = 5

dy/dt is is the speed we are looking for which is the rate at which the boat is approaching the dock.

We are not given the value of z but we can find it by using pythagoras theorem since we know the dock is 1 meter above the bow and the boat is 5 m away.

Thus;

z = √(1² + 5²)

z = √26

We are told the rope is being pulled in at the rate of 1 m/s. Thus; dz/dt = 1

Plugging all relevant values into the differentiation equation above gives;

2(1)(0) + 2(5)(dy/dt) = 2(√26)(1)

10(dy/dt) = 2√26

Divide both sides by 10 to get:

dy/dt = (√26)/5

dy/dt = 1.02 m/s

5 0
3 years ago
Which side length for me a right triangle?
guajiro [1.7K]

Answer:

C

Step-by-step explanation:

8 0
3 years ago
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NEED HELP ASAP!!!
patriot [66]
1.-7/4
2.1/7
3.-5/3
4.1/2
5.neither a parallelogram nor a trapezoid
6.neither pair of opposite sides is parallel

hope this help any one who need the answer <span />
8 0
3 years ago
Write the circumference of a circle with a diameter of 49 inches in terms of pi
AleksAgata [21]

Answer:

153.94

Step-by-step explanation:

c=2r*r

The radius is half of the diameter.

To find the radius you will divide 49 inches by 2.

You should get a total of 24.5

Now that you have your radius you are going to use the circumference formula to solve.

C= 2r*r

C=2(24.5)*(24.5)

type that into the calculator (without the parenthesis) and boom your done!

You answer should be 153.938

then you round to get a total of 153.94

I hope i was able to help!

5 0
2 years ago
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