X minus 32? i need answer ASAP
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<span><u><em>Answer:</em></u>
8.4 square units
<u><em>Explanation:</em></u>
<u>The area of the triangle can be calculated using two sides and an included angle as follows:</u>
area = 0.5 * 1st side * 2nd side * sin(angle included between them)
............> This is shown in the attached image
<u>In the given triangle, we have:</u>
the two sides 2*</span>√2<span> and 6 units
the angle included between them is 80</span>°<span>
Therefore, we can apply the above rule to get the area as follows:
area = 0.5 * 2</span>√2 <span>*6* sin(80</span>°<span>)
area = 8.35 which is approximately 8.4 square units
Hope this helps :)</span>
8.4 square units
<u><em>Explanation:</em></u>
<u>The area of the triangle can be calculated using two sides and an included angle as follows:</u>
area = 0.5 * 1st side * 2nd side * sin(angle included between them)
............> This is shown in the attached image
<u>In the given triangle, we have:</u>
the two sides 2*</span>√2<span> and 6 units
the angle included between them is 80</span>°<span>
Therefore, we can apply the above rule to get the area as follows:
area = 0.5 * 2</span>√2 <span>*6* sin(80</span>°<span>)
area = 8.35 which is approximately 8.4 square units
Hope this helps :)</span>
12. Recall the half-angle identity,
where we take the positive square root because is an angle in a right triangle, which means
, so
. For such an angle, it's always the case that
.
Use the Pythagorean theorem to find the length of the hypotenuse:
Then
###
13. is in quadrant II, which means
, so
. In other words,
is in quadrant I, so
. From the half-angle identity we get
###
14. Simplification follows from the definitions of each function:
So we have
###
15. Use the Pythagorean identity:
Then