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3 years ago

Find MN to the nearest tenth? A. 11.34 B. 16.1 C. 39.6 D. 23.8

Mathematics

1 answer:

Nana76 [90]3 years ago

5 0

As the question say this problem is a practice of the law of cosines!

The law of cosine: c^2=a^2+b^2-2ab*cos*c for any side a, b and c

The law can also be written as c=sqrt(a^2+b^2-2abcosc)

Now use this formula!(note cos 100 degrees is about 0.8623)

c=sqrt(15^2+16^2-2*15*16*cos100)

solving this we can MN is about 23.75

Round this to the nearest tenths now!

We get 23.8!

Thus the answer is D

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mel-nik [20]

Answer:

Step-by-step explanation:

Noting that i² = - 1

Given

(7 - 3i)(8 + 4i) ← expand factors using FOIL

= 56 + 28i - 24i - 12i²

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3 years ago

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givi [52]

Answer:

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3 years ago

(6x - 5y = 34 Lin is solving this system of equations: 3x +2y = 8 She starts by rearranging the second equation to isolate the y

Norma-Jean [14]

Answer:

It is a little hard to see where your steps are for the equation, but x = 4, and I will explain:

Step-by-step explanation:

We know y = -1.5x +4, so we plug that into the equation

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13.5x -20 = 34

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Hope this helps!

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3 years ago

The figure shows two intersecting lines and measures of the resulting angles write an equation to help you solve for x , then fi

ehidna [41]

Given:

Given that two lines are intersecting at the point.

The angles (3x - 8)° and (2x + 12)° are the angles formed by the intersection of the two lines.

We need to determine the equation to solve for x and the value of x.

Equation:

The two angles (3x - 8)° and (2x + 12)° are vertically opposite. Hence, the vertically opposite angles are always equal.

Hence, we have;

$3x-8=2x+12$

Hence, the equation is $3x-8=2x+12$

Value of x:

The value of x can be determined by solving the equation $3x-8=2x+12$

Thus, we have;

$3x-8=2x+12$

Subtracting both sides of the equation by 2x, we get;

$x-8=12$

Adding both sides of the equation by 8, we get;

$x=20$

Thus, the value of x is 20.

Hence, the equation and the value of x are $3 x-8=2 x+12 \ and\ x=20$

Thus, Option D is the correct answer.

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3 years ago

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Sav [38]

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3 years ago

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