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spayn [35]
2 years ago
7

Use this tax table to find how much tax you need to pay on a taxable income of $25,000.

Mathematics
1 answer:
zheka24 [161]2 years ago
4 0
<span>they would have to pay $899.88 on a taxable income of $25,000.</span>

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A projectile is fired with muzzle speed 220 m/s and an angle of elevation 45° from a position 30 m above ground level. Where doe
Allushta [10]

Answer:

  • 4968.6 m from where it was fired
  • 221.33 m/s

Step-by-step explanation:

For the purpose of this problem, we assume ballistic motion over a stationary flat Earth under the influence of gravity, with no air resistance.

We can divide the motion into two components, one vertical and one horizontal. For muzzle speed s and launch angle θ, the horizontal speed is presumed constant at s·cos(θ). The initial vertical speed is then s·sin(θ) and the (x, y) coordinates as a function of time are ...

  (x, y) = (s·cos(θ)·t, -4.9t² +s·sin(θ)·t + h₀) . . . . . where h₀ is the initial height

To find the range, we can solve the equation y=0 for t, and use this value of t to find x.

Using the quadratic formula, we find t at the time of landing to be ...

  t = (-s·sin(θ) - √((s·sin(θ))²-4(-4.9)(h₀)))/(2(-4.9))

  t = (s/9.8)(sin(θ) +√(sin(θ)² +19.6h₀/s²))

For s = 220, θ = 45°, and h₀ = 30, the time of flight is ...

  t ≈ 31.939 seconds

Then the horizontal travel is

  x = 220·cos(45°)·31.939 ≈ 4968.6 . . . . meters

__

As it happens, the value under the radical in the above expression for time, when multiplied by s, is the vertical speed at landing. The horizontal speed remains s·cos(θ), so the resultant speed is the Pythagorean sum of these:

  landing speed = s·√(cos(θ)² +sin(θ)² +19.6h₀/s²) ≈ s√(1 +0.012149)

  ≈ 221.33 m/s

_____

Note that the landing speed represents the speed the projectile has as a consequence of the potential energy of its initial height being converted to kinetic energy that adds to the kinetic energy due to its initial muzzle velocity.

6 0
2 years ago
Pleaseeee help! I'm really confused.
seropon [69]
He will be making a right triangle with the legs being 24 x 45. The diagonal will be the hypotenuse of the triangle. To find the amount of fencing we need the perimeter of the triangle.
Use Pythagorean theorem to find the length of the hypotenuse.
a^2 + b^2 = c^2
24^2 + 45^2 = c^2
576 + 2025 = c^2
2601 = c^2
sqrt 2601 = c
c = 51
Adding the three lengths the total fencing needed is
51+24+45=120 meters
8 0
3 years ago
Sheila is going to divide a 38-inch piece of ribbon into 5 equal pieces. She says each piece
DENIUS [597]

Sheila is incorrect! I think what she did is think the 38 was actually a 35, which WOULD of made her statement true, but since it's 38, she's very incorrect. Sheila should be using the quotient for the size of each piece. 38 divided by 5 is 7.6. The correct answer is 7.6 inches.

5 0
3 years ago
HELP PLEASE ! <br>12) 12 13 + 2) + 9= ?​
valkas [14]

Answer:

11.9230769231

Step-by-step explanation:

Don't ask I am a smarty

6 0
2 years ago
Read 2 more answers
15 pts awarded and brainliest will be chosen!!!
Delvig [45]

Answer:

A. x < 6 and x > - 28

Step-by-step explanation:

We have been given the following inequality;

| x+11 | < 17

We can replace the absolute value function by re-writing the inequality as;

-17< x+11<17

subtract 11 from both sides;

-17-11<x+11-11<17-11

-28<x<6

splitting this we have;

x<6

x>-28

7 0
3 years ago
Read 2 more answers
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