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Juli2301 [7.4K]
3 years ago
15

“Puppies are cute animals.” 1. Write the quote as a conditional statement.

Mathematics
1 answer:
solmaris [256]3 years ago
4 0

Answer:

Puppies are the cueist

Step-by-step explanation:

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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
N-6+4=24 solve for n
zubka84 [21]
N= 26
hope this helped !!
8 0
3 years ago
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You take a 200 milligram dosage of aspirin. During each subsequent hour, the amount of medication in your bloodstream decreases
shepuryov [24]

Answer: The level of aspirin (mg) will be in your bloodstream in 4 hours = 35.70 mg.

Step-by-step explanation:

If the amount is decreasing by r%, then the final amount is given by :-

A=P(1-r)^t

, where P = initial value , t= time

Given: P= 200 milligram, r= 35% = 0.35, t= 4 hours

The level of aspirin (mg) will be in your bloodstream in 4 hours = 200(1-0.35)^4

=200(0.65)^4\\\\=200\times 0.17850625\\\\=35.70125\approx35.70 \ mg

Hence, the level of aspirin (mg) will be in your bloodstream in 4 hours = 35.70 mg.

5 0
3 years ago
Pls help Ill give brainiest or whatever
Contact [7]

Answer:

2.5 hours

Step-by-step explanation:

it takes him 2.5 hours

4 0
3 years ago
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There are 17 students in the third grade and twice that number in the fourth grade. There are
Andrej [43]
17 + 34 + 11 + 19 = 91
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3 years ago
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