we know that
In a right triangle
the value of the cosine is equal to
and the value of the sine is equal to
so
<u>First case</u>
substitute
therefore
The first case is the solution
<u>Second case</u>
substitute
therefore
The second case is not the solution
<u>Third case</u>
<u>Note The hypotenuse cannot be smaller than the adjacent leg or the opposite leg. This problem has errors </u>
substitute
therefore
The third case is not the solution
the solution is the first case
see the attached figure
The question is set up oddly, but if they mean that one of the interior angles of a triangle measures 52degrees, what is the measure of its exterior angle, the you’d do the following: 180 (since they would form a linear pair) - 52 = 128 degrees.
Answer:
The correct option is;
Which is of the form of option C with 2 replaced by x and the characters formatted
Step-by-step explanation:
The given parameters are;
Jose's present batting average = 0.250
The number of times he was at bat = 160
The number of times he made a hit = 40
The batting average he wants to improve to = 0.333
If he makes a hit the next x times he was at bat is represented as if he makes a hit each time, for the next x time he was at bat. We have;
The number in times he makes a hit the next x times he was at bat = x
Therefore, we get;
New total number of hits Jose makes = 40 + x = x + 40
New total number of time Jose was at bat = 160 + x = x + 160
Therefore, given that Jose intends to improve his batting average to 0.333, and that the batting average is given by the relation;
To find x, we have;
Therefore, the correct option is most likely C. where the 2 is supposed to be x.
Answer:
40°, 60° and 80°
Step-by-step explanation:
sum the parts of the ratio, 2 + 3 + 4 = 9 parts
Divide 180° ( sum of angles in a triangle) by 9 to find the value of one part of the ratio.
180° ÷ 9 = 20° ← value of 1 part of the ratio , then
2 parts = 2 × 20° = 40°
3 parts = 3 × 20° = 60°
4 parts = 4 × 20° = 80°
The angles in the triangle are 40°, 60°, 80°