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3 years ago

ART D: THINKING

Mathematics

1 answer:

grin007 [14]3 years ago

3 0

Answer:

Step-by-step explanation:

To get the value f x, we need to use SOH, CAH, TOA identity on ΔAEB but first we need to know any of the sides EB or AB.

From ΔBED, sum of the the angle in the triangle is 180° i.e ∠BED+∠EDB+∠EBD = 180°

65+55+∠EBD = 180

∠EBD = 180-120

∠EBD = 60

Also ∠DBC = 90- ∠EBD

∠DBC = 90- 60

∠DBC = 30°

Applying sine rule on ΔBCD;

52/sin∠DBC = DB/sin115

52/sin30 = DB/sin115

DB = 52sin115/sin30

DB = 52sin115/0.5

DB = 104sin115

DB = 114.75 m

Also applying sine rule on ΔBED to get side BE;

BE/sin55 = 114.75/sin65

BEsin65 = 114.75sin55

BE = 114.75sin55/sin65

BE = 93.998/0.906

BE = 103.75m

Finally, applying the trigonometry identity SOH on ΔABE

sinΔEAB = opp/hyp

sin70° = BE/AE

Since AE = x;

sin70° = 103.75/x

x = 103.75/sin70°

x = 110.41m

Hence, the value of x missing is approximately 110.41m

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3 years ago

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viktelen [127]

Answer:

168.

Step-by-step explanation:

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I used the factorisation method.

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3 years ago

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nirvana33 [79]

Answer:

see below

Step-by-step explanation:

This is a vocabulary problem, identifying the names of things on a diagram.

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notsponge [240]

Answer:

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Step-by-step explanation:

we know that for any general equation of the parabola of the type $y=ax^{2} +b x+c$ the vertex of the parabola is given by (h,k)

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therefore by the given data we have h=-2 and k=0

hence vertex=(-2,0)

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3 years ago