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2 years ago

Help with mathh pleaseeee

Mathematics

1 answer:

myrzilka [38]2 years ago

7 0

Answer:

4.8h - 2.9d - 16

General Formulas and Concepts:

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

8h - 7.9d - 16 + 5d - 3.2h

Step 2: Simplify

Combine like terms (h): 4.8h - 7.9d - 16 + 5d
Combine like terms (d): 4.8h - 2.9d - 16

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Step-by-step explanation:

Given:

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1. Consider triangle NLM. This is a right triangle, because NL ⊥ LM. In this triangle,

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$\tan \angle M=\dfrac{\text{opposite leg}}{\text{adjacent leg}}=\dfrac{NL}{LM}=\dfrac{NL}{45}\\ \\NL=45\tan 50^{\circ}$

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2. Consider triangle NKL. This is a right triangle, because KN ⊥ NM . In this triangle,

$NL=45\tan 50^{\circ}$

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$m\angle KNL=90^{\circ}-40^{\circ}=50^{\circ}$ (angles KNL and KLN are complementary).

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$\cos \angle KNL=\dfrac{\text{adjacent leg}}{\text{hypotenuse}}=\dfrac{KN}{LN}=\dfrac{KN}{45\tan 50^{\circ}}\\ \\KN=45\tan 50^{\circ}\cos 50^{\circ}=45\sin 50^{\circ}\approx 34.47$

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