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AnnZ [28]
2 years ago
7

Write as a product: Thank You Very Much!

Mathematics
1 answer:
Yuliya22 [10]2 years ago
6 0

Answer:

(a - b)(1 + a + b)

Step-by-step explanation:

Note that a² - b² is a difference of squares and factors as

a² - b² = (a - b)(a + b), thus

a - b + a² - b²

= a - b + (a - b)(a + b) ← factor out (a - b)

= (a - b)(1 + a + b)

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

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3 years ago
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