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3 years ago

Find the perimeter of the following polygon. Be sure to include the correct unit in your answer.

Mathematics

1 answer:

tino4ka555 [31]3 years ago

7 0

The answer is 69.70in

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A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 1.5 feet, 30 feet a

Nimfa-mama [501]

Answer:

x₁ > x₂

Step-by-step explanation:

Both actions imply a parable trajectories, since both are projectile shot cases.

Let´s call x₁ maximum distance in the first case

The maximum height is just in the middle of the curve, therefore x₁ the maximum horizontal distance is equal to 60 feet.

In the second case, the parable curve is modeled by:

y = x₂*( 0.08 - 0.002x₂) or y = 0.08*x₂ - 0.002*x₂²

A second degree equation, solving for x₂ and dismissing the value x₂ = 0

we get:

y = 0 ⇒ x₂*( 0.08 - 0.002x₂) = 0 x₂ = 0

And 0,08 - 0.002*x₂ = 0

- 0.002*x₂ = - 0.08

x₂ = 0.08/0.002

x₂ = 40 f

Then x₁ > x₂

3 0

3 years ago

What is the slope? Please help!!!

adell [148]

Check the picture below.

8 0

2 years ago

Find the area of the rhombus. 7.5 yd 13 yd 13 yd 7.5 yd [ ? ] yd2

Doss [256]

Answer:

195

Step-by-step explanation:

4 0

2 years ago

Is y=x^3 a solution of the differential equation yy'=x^5+y

shepuryov [24]

No; we have $y=x^3\implies y'=3x^2$ . Substituting these into the DE gives

$3x^5=x^5+x^3$

which reduces to $x^3=0$ , true only for $x=0$ .

3 0

2 years ago

The angle of the elevation from the top of a 95 Todd building into a hot air balloon in the sky and 76° if the horizontal distan

AnnZ [28]

Answer:

The height of the hot air balloon is 1514.54 feet approximately.

Step-by-step explanation:

Consider the provided information.

The angle of elevation from the top of a 95-foot tall building to a hot air balloon in the sky is 76. If the horizontal distance between the building and the hot air balloon is 354 feet, find the height of the hot air balloon

The figure is shown below:

Let the height of the balloon is AD, the height of the building is BC.

Draw a line BE parallel to CD.

Therefore, AD=x+95, BC=95 and BE=CD=354 ft

Now in triangle $ABE$ .

$\tan\theta=\dfrac{\text{Opp}}{\text{Adj}}$

$\tan76^{\circ}=\dfrac{AE}{BE}$

$AE\approx 4.01\times 354$

$AE\approx 1419.54$

The height air balloon is 1419.54+95 =1514.54 ft

Hence, the height of the hot air balloon is 1514.54 feet approximately.

7 0

2 years ago