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2 years ago

15 points with easy explanation please

Mathematics

2 answers:

GaryK [48]2 years ago

7 0

Answer:

that would be 38 degrees

Step-by-step explanation:

Paladinen [302]2 years ago

5 0

Answer:

m∠2 = 38°

Explanation:

m∠2 and 38° are corresponding angles; therefore, they are equivalent.

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What is a proportion

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<span>A number considered in comparative relation to a whole.</span>

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2 years ago

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2 years ago

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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°

By the sine definition,

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

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

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

In the right triangle, two acute angles are always complementary, so

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

Thus,

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

7 0

2 years ago

How much times does 4 go into 236 division

Lilit [14]

4 goes into 200 fifty times.

4 goes into 36 nine times.

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Answer: 4 goes into 236 fifty nine times.

3 0

3 years ago

Please help! Late work!

frosja888 [35]

(40+41+41+45+48+48+49+49+49+40)/10 = 460/10 = 46

mean = 46

3 0

2 years ago

15 points with easy explanation please​

15 points with easy explanation please