MATHEMATICS COLLEGE

A child flies a kite at a height of 150 ​ft, the wind carrying the kite horizontally away from the child at a rate of 78 ft/sec. How fast must the child let out the string when the kite is 390 ft away from the​ child?

Answers

Answer 1
Answer:

Answer:

About 24.5 feet per second

Step-by-step explanation:

See photos. The step are labeled.
Answer 2
Answer:

Answer: the answer is 24.5 feet per second

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A 15° sector in a circle has an area of 11.9 m2. What is the area of the circle?

Answers

A 15° sector in a circle has an area of 11.9 m2. What is the area of the circle?
The area of the circle will be found as follows:
the fraction of the sector=15/360=1/24
the area of the circle will be:
area=(fraction of the circle)/(fraction of the sector)*(area of the sector)
=1/(1/24)×11.9
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Find the GCF of the set of numbers 12 30

Answers

Answer:

D. 6

Step-by-step explanation:

GCF means greatest common factor, so if you test out all of the answers, the factors you come up with is 2 and 6. Since 6 is larger, that is your answer.

Answer: the answer is 6

Step-by-step explanation:

WILL MARK BRAINLIEST!!!
PLEASE HELP AND NO LINKS

Answers

Answer:

1000 = 450 + 50w

Step-by-step explanation:

She starts with $450 so that is why you add it. The amount she started with will not change.

She earns $50 per week so you add 50 multiplied by the number of weeks she works.

You do this until it equals 1000

Tobias is lifting weights and records the total number of reps he does every day. Suppose A represents the number of reps and B represents the day. Which of the following accuratelydescribe this situation?
A. A is a function of B and B is a function of A
B. A is a function of B
C B is a function of A
D. Neither is a function of the other

Answers

Final answer:

The number of reps Tobias does depends on the day, thus 'A' is a function of 'B'. The number of reps in itself does not determine the day, so 'B' cannot be a function of 'A'. The correct answer is 'A is a function of B'

Explanation:

In this situation, each day Tobias lifts weights, he carries out a certain number of reps. So, the number of reps (A) he does is dependent on the day (B), hence, A is a function of B. It simply means that for every day (input), there's a corresponding number of reps (output). It is not necessarily true that for each specific number of reps, there is a specific day. Hence, B cannot be said to be a function of A. Therefore, the correct answer is 'A is a function of B'.

Learn more about Functions here:

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Write the equation of the line that goes through the point (-4,7) and has a slope of -5.

Answers

Answer:

y= -5x-13

Step-by-step explanation:

start with the linear equation

y= mx+b

indentify what you already have.

x= -4 and y= 7 and m(slope)= -5

We are solving for b, so plug in what you have.

7= -5(-4)+b

Simplify.

7= 20+b

Subtract 20 on both sides.

-13= b

Rewrite your equation with the x and y values.

y= -5x-13

A projectile if fired from ground level with an initial velocity of 35 m/s at an angle of 35° with the horizontal. How long will it take for the projectile to reach the ground?

Answers

Answer:

  about 4.097 seconds

Step-by-step explanation:

The vertical velocity is ...

  (35 m/s)sin(35°) ≈ 20.075 m/s

When the projectile reaches the level from which it was launched (ground level), its final velocity will be the opposite of its initial velocity. Thus, the change in velocity is ...

  -20.075 -(20.075) = -40.150 . . . . m/s

The acceleration is provided by gravity, which is -9.8 m/s², so the time required is ...

  t = Δv/a = (-40.150 m/s)/(9.8 m/s²) ≈ 4.097 s
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