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vekshin1
3 years ago
13

(x, y) ---> (cx, cy)

Mathematics
2 answers:
Nookie1986 [14]3 years ago
6 0
Do you have another picture?
Karo-lina-s [1.5K]3 years ago
3 0

Answer: Umm

Step-by-step explanation:

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In ∆MNP, m∠N = 90º, NH – altitude, m∠P = 21º, PM = 4 cm. Find MH.
Sveta_85 [38]

Answer:

0.51 cm

Step-by-step explanation:

In right triangle MNP, MP = 4 cm, m∠N = 90°, m∠P = 21°

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\sin \angle P=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{MN}{MP}\\ \\MN=MP\sin \angle P\\ \\MN=4\sin 21^{\circ}\approx 1.43\ cm

Now, consider right triangle HMN (it is right because NH is an altitude). By the cosine definition,

\cos \angle M=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{MH}{MN}\\ \\MH=MN\cos \angle M

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m\angle M=90^{\circ}-m\angle P=90^{\circ}-21^{\circ}=69^{\circ}

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MH=1.43\cos 69^{\circ}\approx 0.51\ cm

7 0
3 years ago
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