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Trig: Laws of Cosines.
In Δ XYZ , side y =21, side z =4 and m < x= 80* . Find side ' x' to the nearest integer.

21

Step-by-step explanation:

law of cosines states that x^2 = y^2 + z^2 - 2yzcos<X

so x^2 = 21^2 + 4^2 - (2*21*4*cos(80)) = 457 - 29.1729 = 427.8271

x = 20.6840 which rounds to 21

x = 21 (Appropriately)

Step-by-step explanation:

Cosine rule states:

a² = b² + c² - 2ab Cos A

b² = a² + c² - 2ac Cos B

c² = a² + c² - 2ab Cos C

Where:

a, b, c are the side lengths

A,B,C are the angles.

We'll take A, B, C as X, Y, Z

and

a,b,c as x,y,z

LET'S FIRE ON!

From the question:

x = ??

y = 21

z = 4

X = 80°

Therefore:

x² = y² + z² - 2yz Cos X

x² = 21² + 4² - 2*21*4 Cos 80°

x²= 441 + 16 - 168 Cos 80°

x² = 457 - 168 * 0.174

x²= 457 - 29.232

x²= 427.768

x= √ 427.768

x = 20.683

x = 21 (Appropriately)

the answer is b i just did that

step-by-step explanation:

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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answers

rauschg

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step-by-step explanation: