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Zielflug [23.3K]

3 years ago

11

A golf ball í hit off the ground at an angel pi/6 travels 400ft.how long in the air

1 answer:

steposvetlana [31]3 years ago

7 0

You can write the equations of motion as
h(t) = -16t² + v₀sin(θ)t
d(t) = v₀cos(θ)t

Solving the second of these for t and substituting into the first equation gives the time of flight as
0 = -16t² + d(t)·tan(θ)
t = √(d(t)·tan(θ)/16)

So, for d(t) = 400 and θ = π/6, this becomes
t = √((400/16)/√3)
t = 5/√(√3) ≈ 3.79918

The ball is in the air about 3.80 seconds.

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A standard pair of six-sided dice is rolled. What is the probability of rolling a sum less than 7? Express your answer as a frac

zzz [600]

Answer:

0.4167 is the probability of rolling a sum less than 7.

Step-by-step explanation:

We are given the following in the question:

Event: A standard pair of six-sided dice is rolled

A: rolling a sum less than 7

Sample space:

{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)

(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)

(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)

(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)

(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)

(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

A:

{(1,1),(1,2),(1,3),(1,4),(1,5),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(4,1),(4,2),(5,1)}

Formula:

$\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

$P(A) = \dfrac{15}{36} = 0.4167$

0.4167 is the probability of rolling a sum less than 7.

8 0

3 years ago

Hypotenuse Math. 15 Points.

Rina8888 [55]

Using the Pythagorean theorem:

a^2 + b^2 = c^2

A and B are the sides and c is the hypotenuse.

4^2 + 5^2 = c^2

Simplify:

16+25 = c^2

41 = c^2

Take the square root of both sides:

c=√41

4 0

3 years ago

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The value of y varies jointly with the values of x and z When x = 4 and z = 10, the value of y is 360.

Igoryamba

Answer:

A

Step-by-step explanation:

Joint variation is given by:

$y=kxz$

Where k is some constant.

We are given that y = 360 when x = 4 and z = 10. Therefore:

$360=k(4)(10)$

Solving for k:

$40k=360\Rightarrow k=9$

Therefore, our equation is:

$y=9xz$

Then when x = 5 and z = 12:

$y=9(5)(12)=540$

The answer is A.

3 0

3 years ago

the distance around a track is 400m. if you take 14 laps around the track what is the total distance you walk? use mental math

Olegator [25]

to do it in mental math: you can ignore the zeroes in 400 for now.

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now add the zeroes back on: 5600m

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44 because 105 ÷ 7 = 15.
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3 years ago

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