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3 years ago

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

1 answer:

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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Solve the inequality x^2-4x-7<0

ANEK [815]

Answer:

Inequality Form:

2 − √ 11 < x < 2 + √ 11

Interval Notation:

( 2 − √ 11 , 2 + √ 11 )

Step-by-step explanation:

Solve the inequality for x by finding a , b , and c of the quadratic then applying the quadratic formula.

8 0

3 years ago

Need geometry help ASAP please!

tatiyna

Answer:

1. 121 π unit²

2. 143°

3. 151 unit²

Step-by-step explanation:

Area of a circle is given by the formula A = πr²

where

A is the area,

r is the radius of the circle

From the given diagram, we can see that the radius is 11, hence the area will be:

$A=\pi r^2\\A=\pi (11)^2\\A=121\pi$

The answer is $121\pi$ units^2

The unshaded secctor and the shaded sector equals the circle. We know that circle is 360°. The unshaded sector has an angle of 217°. So the shaded part will be 360 - 217 = 143°

The measure of the central angle of the shaded sector is 143°

Area of a sector is given by the formula $A=\frac{\theta}{360}*\pi r^2$

Where

$\theta$ is the central angle of the sector (in our case it is 143°)

r is the radius (which is 11)

Plugging in all the info into the formula we have:

$A=\frac{\theta}{360}*\pi r^2\\A=\frac{143}{360}*\pi (11)^2\\A=150.99$

<em>rounding to the nearest whole number, it is </em>151 units^2

3 0

4 years ago

Question 5 Multiple Choice Worth 1 points) (04.05 MC) Determine if the ordered pair (-1 , -5) is a solution to the inequality y≤

Zielflug [23.3K]

Answer:

(-1, -5) satisfies the inequality and will be the solution to the inequality.

From the attached figure, it is clear that (-1, -5) is below the line.

Therefore, the correct option is:

''Yes, because 1-1, 5) is on the line''.

Step-by-step explanation:

Given the inequality

$y\le -\frac{3}{4}x-1$

substituting (-1, -5) to check whether it satisfies the inequality or not

$-5\le \:-\frac{3}{4}\left(-1\right)-1$

$-5\:\le \:\frac{3}{4}-1$

$-5\:\le -\frac{1}{4}$

TRUE

Thus, (-1, -5) satisfies the inequality and will be the solution to the inequality.

From the attached figure, it is clear that (-1, -5) is below the line.

Therefore, the correct option is:

''Yes, because 1-1, 5) is on the line''.

4 0

3 years ago

Find the distance represented by 4.9 inches if 1 inch = 50 miles.

pishuonlain [190]

Answer:

245 miles

Step-by-step explanation:

To complete this, you want to use the unit conversion technique in fraction form. The units for the numerator of the first fraction (thing you want to convert) should match the units of the denominator in the multiplying fraction.