Question
What value of x satisfies the equation above?
The correct answer is: 1/2
x – 1 + x = 0
2x – 1 = 0
or 0.5
Related Questions to study
Note: Figure not drawn to scale.
In right triangle ABC above, BC= 8. If the cosine of x0 is 
, what is the length of 
?
When a triangle has three angles, one of them must always be 90°. The Pythagoras Theorem, which asserts that the square hypotenuse's longest side is the same as the sum of the squares of the perpendicular and base, is derived for right-angled triangles.
We can determine the value of every angle in a right-angled triangle given the length of at least two of its sides. To do this, we employ a variety of trigonometric functions, including sine, cosine, tangent, cotangent, sec, and cosec.
Properties:
1. Among the three vertices, there is a right-angle vertex.
2. The opposite side of a right-angled vertex is referred to as the hypotenuse.
3. The Pythagoras theorem, which asserts, is used to determine the length of the sides.
4. A right-angled triangle's hypotenuse is its longest side.
5. Acute angles are those other than the right angle with a value of less than 90 degrees.The Cosine Rule states that the square of the length of any one side of a triangle is equal to the sum of the squares of the lengths of the other two sides multiplied by the cosine of the angle that includes those sides.
¶The formula is as follows: a2 = b2 + c2 - 2bc cos x
Note: Figure not drawn to scale.
In right triangle ABC above, BC= 8. If the cosine of x0 is , what is the length of ?
When a triangle has three angles, one of them must always be 90°. The Pythagoras Theorem, which asserts that the square hypotenuse's longest side is the same as the sum of the squares of the perpendicular and base, is derived for right-angled triangles.
We can determine the value of every angle in a right-angled triangle given the length of at least two of its sides. To do this, we employ a variety of trigonometric functions, including sine, cosine, tangent, cotangent, sec, and cosec.
Properties:
1. Among the three vertices, there is a right-angle vertex.
2. The opposite side of a right-angled vertex is referred to as the hypotenuse.
3. The Pythagoras theorem, which asserts, is used to determine the length of the sides.
4. A right-angled triangle's hypotenuse is its longest side.
5. Acute angles are those other than the right angle with a value of less than 90 degrees.The Cosine Rule states that the square of the length of any one side of a triangle is equal to the sum of the squares of the lengths of the other two sides multiplied by the cosine of the angle that includes those sides.
¶The formula is as follows: a2 = b2 + c2 - 2bc cos x
Race Summary
|
Split number |
Race segment (meters) |
Split time (seconds) |
Total race time at end of split (seconds) |
|
1 |
0 - 500 |
109 |
109 |
|
2 |
500 - 1000 |
112 |
221 |
|
3 |
1000 - 1500 |
111 |
332 |
|
4 |
1500 - 2000 |
108 |
440 |
By the end of the season, the coach wants the team to reduce its mean split time by 10% as compared to this race. At the end of the season, what should the team's mean split time be, in seconds?
Race Summary
|
Split number |
Race segment (meters) |
Split time (seconds) |
Total race time at end of split (seconds) |
|
1 |
0 - 500 |
109 |
109 |
|
2 |
500 - 1000 |
112 |
221 |
|
3 |
1000 - 1500 |
111 |
332 |
|
4 |
1500 - 2000 |
108 |
440 |
By the end of the season, the coach wants the team to reduce its mean split time by 10% as compared to this race. At the end of the season, what should the team's mean split time be, in seconds?
Race Summary
|
Split number |
Race segment (meters) |
Split time (seconds) |
Total race time at end of split (seconds) |
|
1 |
0 - 500 |
109 |
109 |
|
2 |
500 - 1000 |
112 |
221 |
|
3 |
1000 - 1500 |
111 |
332 |
|
4 |
1500 - 2000 |
108 |
440 |
During the fourth split of the race, the team rowed at a rate of 28 strokes per minute. To the nearest whole number, how many strokes did it take the team to complete the final 500 meters of the race?
Race Summary
|
Split number |
Race segment (meters) |
Split time (seconds) |
Total race time at end of split (seconds) |
|
1 |
0 - 500 |
109 |
109 |
|
2 |
500 - 1000 |
112 |
221 |
|
3 |
1000 - 1500 |
111 |
332 |
|
4 |
1500 - 2000 |
108 |
440 |
During the fourth split of the race, the team rowed at a rate of 28 strokes per minute. To the nearest whole number, how many strokes did it take the team to complete the final 500 meters of the race?
. What is the measure, in degrees, of angle L ?
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