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iren2701 [21]
3 years ago
6

Find the perimeter of the polygon with the given vertices x(-1,3) y(3,0) z(-1,-2)

Mathematics
1 answer:
Dvinal [7]3 years ago
4 0

x(-1,3) y(3,0) z(-1,-2)

xy

m = (3 + 1)/(0 - 3) = 4/-3 = -4/3

y - 3 = -4/3(x + 1)

y - 3 = -4/3x - 4/3

xy: y = -4/3x + 5/3

yz

m = (0 + 2)/(3 + 1) = 2/4 = 1/2

y = 1/2(x - 3)

yz: y = 1/2x - 3/2

xz

m = (3 + 2)/(-1 + 1) = 5/0 = undefined

y - 3 = undefined(x + 1)

xz: x = -1

xy: y = -4x/3 + 5/3

yz: y = x/2 - 3/2

xz: x = -1

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Island A is 250 miles from island B. A ship captain travels 260 miles from island A and then finds out he is off course and 160
elena-14-01-66 [18.8K]

CHECK THE COMPLETE QUESTION BELOW

Island A is 250 miles from island B. A ship captain travels 260 miles from island A and then finds that he is off course and 160 miles from island B. What bearing should he turn to, so he is heading straight towards island B?

A. 111.65

B. 119.84

C. 21.65

D. 135.53

Answer:

OPTION A IS CORRECT

A. 111.65

Step-by-step explanation:

This question can be explained using a triangle, let us say triangle ABD

and let us say A and B represent the islands and D is the particular point from where the captain is standing at a distance of 160 miles from B island .

We will be making use of cosines rule to calculate our angles, and we know that from cosine rule

D² = a² + b² -2abCosD

Where, a= 160 b = 260 and d = 250 then we can substitute in order to calculate our angles

250²= 60² + 260² - 2(160*260)Cos(D)

62500= 625600+ 67600- 83200CosD

83200CosD= 25600+ 67600 - 625600

83200CosD= 30700

CosD= 30700/83200

CosD= 0.369

D= cos⁻¹ (0.369)

D=68.35

Therefore, the angle inside the triangle is 68.35°

Now we can now find the bearing the captain supposed to turn , if he is heading to island B which will be the external angle of the triangle, but we know that The external angle =180°(supplimentary angles )

Then the angle he would turn will be external angle of the triangle - 68.35°

= (180 - 68.35)

= 111.65°

Therefore, the bearing the captain should turn is 111.65° for him to be heading straight towards island B.

7 0
3 years ago
In the circle below, O is the center and mĞ= 128° What is the measure of angle HIG?​<br>​
Ad libitum [116K]

Answer:

HIG=28°

Step-by-step explanation:

HI is a diameter therefore it's measure is 180°

HI-IG=HG

180-128=HG

52°=HG

HIG=1/2HG

HIG=1/2(56°)

HIG=28°

5 0
3 years ago
Find the area of the figure below, formed from a triangle and a rectangle, in square centimeters. A figure is formed from a righ
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C.44 square centimeters
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Which would give the best estimate of 4 and 7/8 times 3 and 6/7
balandron [24]
Me I would go with 3 time 6/7
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3 years ago
Read 2 more answers
Someone plz help (20 points)
lbvjy [14]

Answer:

The answer is A

Step-by-step explanation:


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