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vodka [1.7K]
3 years ago
10

The difference between 3 times a number and 21

Mathematics
1 answer:
pashok25 [27]3 years ago
7 0
The difference (-) between 3 times a number (3n) and 21.

3n - 21
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Step-by-step explanation:

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2 years ago
In ∆MNP, m∠N = 90º, NH – altitude, m∠P = 21º, PM = 4 cm. Find MH.
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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

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\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

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