What is the area to this shape and tell me why pls I need help asap tonight
2 answers:
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9514 1404 393
Answer:
D
Step-by-step explanation:
In the second quadrant, ...
c = 180° -arcsin(24/25) ≈ 106.26°
In the third quadrant, ...
d = 360° -arccos(-3/4) ≈ 221.41°
Then cos(c+d) = cos(327.67°) ≈ 0.84498
This is a positive irrational number, greater than 21/100, so the only reasonable choice is the last one:
_____
Perhaps you want to work this out using the trig identities.
cos(c) = -√(1 -sin(c)²) = -7/25
sin(d) = -√(1 -cos(d)²) = -(√7)/4
Then the desired cosine is ...
cos(c+d) = cos(c)cos(d) -sin(c)sin(d)
cos(c+d) = (-7/25)(-3/4) -(24/25)(-√7/4)
cos(c+d) = (21 +24√7)/100 . . . . matches choice D
Answer:
Yes.
Step-by-step explanation:
The two triangles are <em>similar</em> because they have:
- a common angle (90°)
- corresponding sides with lengths in a 3:1 ratio
All you need to do is to slide the smaller triangle into the larger one so that a small angle and one of its sides coincide.
Then the hypotenuses of each triangle will lie along the same line.
