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USPshnik [31]
2 years ago
15

Four employees of Papa Tony's Pizza are cleaning up at the end

Mathematics
1 answer:
Lady bird [3.3K]2 years ago
8 0

Answer:

10.75

Step-by-step explanation:

43 divided by 4

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Austin makes $5.50 per hour. Which expression represents his pay?
Naddika [18.5K]
The answer is 5.50h because h equals the hours and every hour u are receiving 5.50 so you will be multiplying
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3 years ago
If 5 slices of pizza cost 5.50 how much do 2 slices cost 10 half a slice?
PtichkaEL [24]
Are there answer choices or is this an essay?

5 0
3 years ago
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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
Omar grouped the terms and factored the GCF out of the groups of the polynomial 3x3 – 15x2 – 4x + 20. His work is shown.
Phoenix [80]

Answer:

2nd option

Step-by-step explanation:

Given

3x³ - 15x² - 4x + 20

step 1 ( group the first/second and third/fourth terms )

(3x³ - 15x² ) + (- 4x + 20)

step  2 ( factor each group )

3x² (x - 5) - 4(x - 5) ← note factor of - 4 ( not + 4 )

step 3 ( factor out (x - 5) from each term )

(x - 5)(3x² - 4)

4 0
2 years ago
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What is the area of this parallelogram? PLEASE HELP
zimovet [89]

Answer:

B

Step-by-step explanation:

the area of a parallelogram is the length of one of the sides multiplied with the length of the height on this side.

so, in this case it is

4×5 = 20 cm²

5 0
2 years ago
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