3 years ago

What is the image of point (4, 5) after a counterclockwise rotation of 270º about the origin?

Mathematics

1 answer:

tia_tia [17]3 years ago

4 0

The answer is (5, -4).

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4. Determine all unknown sides and angles to 1 decimal place.

Ksju [112]

Answer:

The unknown sides are 60.81cm and 51.57cm while the unknown angle is 58degrees

Step-by-step explanation:

4a) Given the following

Opposite side = 38cm (side facing the given angle)

Required

Adjacent and hypotenuse side

According to SOH CAH TOA

$tan \theta = \frac{opp}{hyp}\\tan 32=\frac{38}{hyp}\\hyp=\frac{38}{tan 32}\\hyp=\frac{38}{0.6249}\\hyp= 60.81cm$

Next is to get the adjacent

$Cos 32=\frac{adj}{60.81}\\adj=60.81cos32\\adj=60.81(0.8480)\\adj= 51.57cm$

Next is to get the missing

Since sum of angle in the triangle is 180degrees

32 + 90 + x = 180

122 + x = 180

x = 180 - 122

x = 58degrees

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Dmitriy789 [7]

68.40 divide 6 = 11.4

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Answer:

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Step-by-step explanation:

200 times 1/8 = 200/8 = 25

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