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3 years ago

In right traingle LMN, L and M are complementary angles and sin(L) 19/20 is . What is cos(M)?

Mathematics

2 answers:

kap26 [50]3 years ago

6 0

Cos(M) is 19/20 because sin and cos are always the same answer

Sholpan [36]3 years ago

3 0

Answer:

$\text{cos}(M)=\frac{19}{20}$

Step-by-step explanation:

Please find the attachment.

We have been given that in right triangle LMN, L and M are complementary angles and $\text{sin}(L)=\frac{19}{20}$ . We are asked to find the $\text{cos}(M)$ .

We know that sine relates opposite side of right triangle to hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

We also know that cosine relates adjacent side of right triangle to hypotenuse.

$\text{cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}$

We can see from the attachment that LM is hypotenuse and MN is adjacent side of our given triangle.

$\text{cos}(M)=\frac{19}{20}$

Therefore, $\text{cos}(M)$ is $\frac{19}{20}$ as well.

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3 years ago

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3 years ago

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2 years ago

A total of 135 seats, 118 front handlebars (that steer the bike) and 269 wheels how many bicycles, tandem bicycles, and tricycle

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Step-by-step explanation:

Since we have given that

Number of seats = 135

Number of front handle bars = 118

Number of wheels = 269

Since there are 118 front handle bars.

And we know that each bicycle has 1 front handle bars.

So, total number of bicycles = 118

Now, each bicycle has 2 wheels

So, Number of wheels should be

$118\times 2\\\\=236\ wheels$

But here we have 269 wheels , it means it has tricycle which has 3 wheels.

So, Remaining wheels would be

$269-236\\\\=33\ wheels$

It means 33 bicycles has 3 wheels .

So, Number of tricycles = 33

So, Number of bicycles should be now

$118-33=85$

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So, number of seats should be 85

But we have 135 seats,

So, remaining seats should be of tandem bicycle.

$135-85=50$

So, Number of bicycles now becomes

85-50 = 35

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3 years ago

A rubber ball is bounced from a height of 9 meters and bounces continuously .Each successive bounce reaches a height that is a t

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