The correct question is
The hypotenuse and one of the legs of a right triangle form an angle that has a cosine of √<span>2/2 .
What is the measure of the angle?
Let
</span>∅--------> the angle
cos ∅=√2/2<span>
cos </span>∅=[distance of one of the leg/hypotenuse]
[distance of one of the leg/hypotenuse]=√2/2
<span>I could say that
</span>distance of one of the leg=√2
and
hypotenuse=2
so
<span>applying the Pythagorean theorem
</span>c=hypotenuse=2
a=√2
b=?
c²=a²+b²-------> b²=c²-a²------> b²=2²-(√2)²-----> b²=2-----> b=√2
therefore
if a=b
then
the angle ∅=45°
the answer is the option
<span>b.45 degrees</span>
Answer:
Step-by-step explanation:
5) x + 5.4 < -1.6
x < -1.6 - 5.4
x < -7
6) x + 7.5 > -2.5
x > -2.5 - 7.5
x > -10
7) 3 ≤ 1/3 + x
x ≥ 3 - 1/3
x ≥ 5/3
41 lb
work: 65 - 24 = 41
you're welcome
Answer: -0.5c
Step-by-step explanation: multiply -2.5 by 1/5 (0.2) and you get -0/5
