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kotykmax [81]
3 years ago
5

Using the distance formula , find the distance from the center of your habitat to the point (x, y). Write this equation. Your an

swer will contain x- and y-terms.
Mathematics
1 answer:
alexdok [17]3 years ago
6 0

Answer:

See explanation

Step-by-step explanation:

The distance formula is given by:

d =  \sqrt{ {(x_2-x_1)}^{2} +  {(y_2-y_1)}^{2}  }

We want to find the distance between (a,b) and (x,y).

The center of the habitat is missing in the question.

Assuming the center is (a,b) where a and b are real numbers, then we can use the distance formula to obtain:

d = \sqrt{(x - a)^{2} +  {(y - b)}^{2}  }

For instance if the center of your habitat us (2,-1), then

d = \sqrt{(x - 2)^{2} +  {(y  + 1)}^{2}  }

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Find the missing side lengths.
Nadya [2.5K]

Answer:

A

Step-by-step explanation:

we can find using the trigonometric formulas

we can find y by using cosine.

cos = adj / hyp

cos 60 = y / 10

y = 10 cos 60

y = 5

now we can use the Pythagorean theorem since we have the base and hyp

a² + b² = c²

5² + b² = 10²

25 + b² = 100

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b = 5√3

7 0
3 years ago
A 3cm x 2cm rectangle sits inside a circle with a radius of 4cm
9966 [12]

The area of the shaded region is 44.24\ cm^{2}44.24 cm2

Step-by-step explanation:

we know that

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step 1

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The area of the circle is equal to

A=\pi r^{2}A=πr2

we have

r=4\ cmr=4 cm

substitute

A=\pi (4)^{2}A=π(4)2

A=16\pi\ cm^{2}A=16π cm2

step 2

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The area of rectangle is equal to

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step 3

Find the difference

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assume

\pi=3.14π=3.14

16(3.14)\ cm^{2}-6\ cm^{2}=44.24\ cm^{2}16(3.14) cm2−6 cm2=44.24 cm2

8 0
3 years ago
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bazaltina [42]
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Answer:

128

Step-by-step explanation:

you times all of it then divide by 4

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