Answer:
Step-by-step explanation:
21)
The sine rule is expressed as
a/SinA = b/SinB = c/SinC
Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Therefore,
12/Sin 64 = x/Sin 12
Cross multiplying, it becomes
xSin 64 = 12Sin12
xSin 64 = 12 × 0.209
0.8988x = 2.508
x = 2.508/0.8988
x = 2.79
The sum of the angles in a triangle is 180 degrees. Therefore, the unknown angle in triangle is
180 - (64 + 12) = 104 degrees. Therefore,
y/Sin104 = 12/Sin64
ySin64 = 12Sin104
0.8988y = 12 × 0.9703 = 11.6436
y = 11.6436/0.8988
y = 12.95
22) we would apply the law of Cosines which is expressed as
a² = b² + c² - 2bcCosA
Therefore,
28² = 20² + 24² - 2 × 20 × 24Cosx
784 = 400 + 576 - 960Cosx
784 = 976 - 960Cosx
960Cosx = 976 - 784 = 192
Cosx = 192/960 = 0.2
x = Cos^(-1)0.2
x = 78.5°
Answer:
Muhammad Ali was one of the greatest boxers in history, the first fighter to win the world heavyweight championship on three separate occasions. In addition, he was known for his social message of black pride and black resistance to white domination and for refusing induction into the U.S. Army during the Vietnam War.His quickness and mobility was a His quickness and mobility was a revelation in the 1960s; big men simply did not move like that. His amazing speed and reflexes allowed him to introduce a level of artistry and elegance to heavyweight boxing which changed the public's perception of the sport and pioneered new tactics and techniques.revelation in the 1960s; big men simply did not move like that. His amazing speed and reflexes allowed him to introduce a level of artistry and elegance to heavyweight boxing which changed the public's perception of the sport and pioneered new tactics and techniques.
Answer:
-2
Step-by-step explanation:
When you have equations with smaller number subtracting bigger numbers, it means that you are always going to end up with a negative answer. So if you do 10-8 it would just be 2, but if you flip it , it will be a negative so the the answer would be
8-10= -2
Hope that helped or it probaly just made you more confused lol
The solution set of the equation x^2 + 2x - 48 = 0 is x = -1 ± 7
<h3>How to determine the solution set of the equation?</h3>
The equation is given as:
x^2 + 2x - 48 = 0
A quadratic equation is represented as:
ax^2 + bx + c = 0
By comparing both equations, we have
a = 1, b = 2 and c = -48
The solution of the quadratic equation is then calculated using
x = (-b ± √(b^2 - 4ac))/2a
Substitute values for a, b and c in the above equation
x = (-2 ± √(2^2 - 4 * 1 * -48))/2 * 1
This gives
x = (-2 ± √196)/2
Evaluate the square root of 196
x = (-2 ± 14)/2
Divide through by 2
x = -1 ± 7
Hence, the solution set of the equation x^2 + 2x - 48 = 0 is x = -1 ± 7
Read more about quadratic equation at:
brainly.com/question/1214333
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