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taurus [48]
3 years ago
7

Calculate the length of the side LN given the following data for 37°.

Mathematics
1 answer:
polet [3.4K]3 years ago
7 0

Answer:

It is given that,

Sin 37° = 0.602

Cos 37° = 0.790

Tan 37° = 0.754

To find:

The length of side LN.

Solution:

In a right angle triangle,

\sin\theta =\dfrac{Perpendicular}{Base}

Using this in triangle LMN, we get

\sin (37^\circ) =\dfrac{LM}{LN}

0.602=\dfrac{6}{LN}

0.602LN=6

Divide both sides by 0.602.

LN=\dfrac{6}{0.602}

LN=9.966777

LN\approx 9.97

Therefore, the correct option is C.

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PLS HELP ME IS EZZZZZ
Arte-miy333 [17]

Answer:

825.663706143591cm

Step-by-step explanation:

80cm × 4 = 320cm

100cm × 3 = 300cm

The radius is 40

40 × 2 = 80cm

Circumference is πd

π80 = 251.327412287183

÷ 2 = 125.663706143591cm

In total

320 + 300 + 80 + 125.663... =

825.663706143591cm

6 0
3 years ago
Circle O, with center (x, y) passes through the points A(0, 0), B(-3, 0), and C(1, 2). Find the coordinates of the center of the
KonstantinChe [14]

Answer:

The center of the circle is

(-\frac{3}{2},2)

Step-by-step explanation:

Let the equation of the circle be

x^2+y^2+2ax+2by+c=0, where (-a,-b) is the center of this circle.

The points lying the circle must satisfy the equation of this circle.

A(0,0)

We substitute this point to get;

0^2+0^2+2a(0)+2b(0)+c=0

\implies c=0

B(-3,0)

(-3)^2+0^2+2a(-3)+2b(0)+c=0

\implies 9+0-6a+0+c=0

\implies -6a+c=-9

But c=0

\implies -6a=-9

\implies a=\frac{3}{2}

C(1,2)

1^2+2^2+2a(1)+2b(2)+c=0

1+4+2a+4b+c=0

2a+4b+c=-5

Put the value of 'a' and 'c' to find 'b'

2(\frac{3}{2})+4b+0=-5

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4b=-5-3

4b=-8

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Hence the center of the circle is

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8 0
3 years ago
I don't know this please help no links Brainliest
Nutka1998 [239]

Answer:

answer is 2.5

Step-by-step explanation:

rise over run

10/4=

2.5

6 0
2 years ago
The answer to number 3
Reptile [31]

Answer:

  4.5×10^17 m²

Step-by-step explanation:

The radius is half the diameter, so we can make the substitution r=d/2 into the formula to get ...

  A = 4πr² = 4π(d/2)² = πd²

Filling in the given values and doing the arithmetic gives ...

  A = 3.14×(3.8×10^8 m)² = 45.3416×10^16 m²

  A ≈ 4.5×10^17 m²

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We round to 2 significant digits because that is the precision of the given diameter.

6 0
3 years ago
Marking brainliest!
Naddika [18.5K]

Answer:

3/5

Step-by-step explanation:

this is the correct answer because a is represented by the number picked is greater than 7.

3/10 are less than 7

2/5 are less than 7

but 3/5 are more than 7

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3 0
3 years ago
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