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levacccp [35]
3 years ago
8

please respond with the format showed on the picture so use . after the letter and display the answer

Mathematics
1 answer:
Elis [28]3 years ago
7 0

Answer:

a. subtract 7 from 10

Step-by-step explanation:

parenthesis goes before everything in this equation

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Given: KL ║ NM , LM = 45, m∠M = 50° KN ⊥ NM , NL ⊥ LM Find: KN and KL
Mice21 [21]

Answer:

KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08\\ \\KN=45\sin 50^{\circ}\approx 34.47

Step-by-step explanation:

Given:

KL ║ NM ,

LM = 45

m∠M = 50°

KN ⊥ NM  

NL ⊥ LM

Find: KN and KL

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

LM = 45

m∠M = 50°

So,

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

Also

m\angle LNM=90^{\circ}-50^{\circ}=40^{\circ} (angles LNM and M are complementary).

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

NL=45\tan 50^{\circ}

m\angle KLN=m\angle LNM=40^{\circ} (alternate interior angles)

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

So,

\sin \angle KNL=\dfrac{\text{opposite leg}}{\text{hypotenuse}}=\dfrac{KL}{LN}=\dfrac{KL}{45\tan 50^{\circ}}\\ \\KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08

and

\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

3 0
3 years ago
Read 2 more answers
1/4 x 2/5 x 3/6 x 4/7 x 5/8 x 6/9 x 7/n=?
postnew [5]

Answer:

c. \frac{1}{12n} = {[12n]}^{-1}

Step-by-step explanation:

[\frac{1}{4}][\frac{2}{5}][\frac{1}{2}][\frac{4}{7}][\frac{5}{8}][\frac{2}{3}][\frac{7}{n}] = \frac{560}{6720n} = [12n]^{-1} = \frac{1}{12n}

\frac{2}{3} = \frac{6}{9}\\ \\ \frac{1}{2} = \frac{3}{6}

* To make this simpler, reduce these two fractions in lowest terms.

I am joyous to assist you anytime.

8 0
3 years ago
1
Mrrafil [7]

Answer:

3280

Step-by-step explanation:

52×63=3276

Round 3276 to 3280

Hope this helps! :)

3 0
2 years ago
Jan had x color pencils in her box and shares them equally with her friend,Talia.Her brother gives her 2 more color pencils.Jan
liberstina [14]

3 = X/2 + 2

1 = X/2

2 = X

Jan had 2 pencils to start off with. She gave half (1 pencil) to Talia. Her brother gave her 2, which means she ends up with 3.

8 0
3 years ago
Which of the fallowing shows the numbers in the box below listed in increasing order? 1/2, 1.2, -2, 3/7 pls helpppp quick
Vladimir79 [104]

Answer:

-2, 3/7, 1/2, 1.2

Step-by-step explanation:

Increasing == least to greatest in value.

-2 = -2

3/7 = 0.429

1/2 = 0.5

1.2 = 1.2

8 0
2 years ago
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