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Makovka662 [10]
3 years ago
13

Please find the answer and show your work so I can learn thanks!!

Mathematics
1 answer:
irga5000 [103]3 years ago
8 0

Answer:

22.34 {km}^{2}

Step-by-step explanation:

The area of a circle:

A = πr^{2}

The problem gives the diameter of a circle, which is equal to 2*r.

If 5 1/3 = 2*r, then the radius is (16/3)/2 = 8/3.

Plugging this into the area equation,

A = π*{{8/3}}^{2}

A = \frac{{64*π}}{9} or approximately 22.34 {km}^{2}

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The Hudson Bay tides vary between 3 feet and 9 feet. The tide is at its lowest point when time (t) is 0 and completes a full cyc
BaLLatris [955]

Answer:

y(t)= 6-3cos(\dfrac{2\pi}{14}t )

Step-by-step explanation:

The function that could model this periodic phenomenon will be of the form

y(t) = y_0+Acos(wt)

The tide varies between 3ft and 9ft, which means its amplitude A is

A =\dfrac{(9-3)ft}{2} \\\\\boxed{A = 3ft}

and its midline y_0 is

y_o=3+3 \\\\\boxed{y_o= 6ft}.

Furthermore, since at t=0 the tide is at its lowest ( 3 feet ), we know that the trigonometric function we must use is -cos(\omega t).

The period of the full cycle is 14 hours, which means

\omega t =2\pi

\omega (t+14)= 4\pi

giving us

\boxed{\omega = \dfrac{2\pi}{14}.}

With all of the values of the variables in place, the function modeling the situation now becomes

\boxed{y(t)= 6-3cos(\dfrac{2\pi}{14}t ).}

8 0
3 years ago
What is the sum of the counting numbers 1 - 40
AVprozaik [17]
Simply it as follows:

1 + 39 = 40
2 + 38 = 40 etc

18 + 22 = 40
19 + 21 = 40

There are 19 of these plus 40 itself . . .therefore 20 of them

20 x 40 = 800

And finally the last number not used, 20

Therefore 800 + 20 = 820
5 0
3 years ago
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A quadratic model is fitted to a set of data that has a quadratic trend. What can be
Phoenix [80]

Answer: C & D

Step-by-step explanation:

6 0
3 years ago
Pleaseee help me with number eight,, I don’t know how to do it at all.
iogann1982 [59]
1,200 because 4x 3 is 12 and 40 x 30=1,200
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3 years ago
Find the area of the parrellogram and the units
gavmur [86]

Answer:

1968

Step-by-step explanation:

A= basexheight

= 48x41

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If they are in cm, them unit of area= cm².

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3 years ago
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