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yulyashka [42]
3 years ago
11

The hypotenuse and one of the legs of a right triangle form an angle that has a cosine of 2 2 . what is the measure of the angle

?
a.30 degrees
b.45 degrees
c.60 degrees
d.90 degrees
Mathematics
1 answer:
creativ13 [48]3 years ago
7 0
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>
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Answer:

The short answer is there isn’t.

Start by writing each of these as an expression:

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Next, solve each for the same variable; in this case, y:

(x * y) / x = 60 / x

.: y = 60 / x

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.: y = 7 - x

Next, replace y of the second expression to the first

y = 60 / x & y = 7 - x

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Now, solve for x:

(7 - x) * x = (60 / x) * x

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This is quadratic, so write it in the form of ax2 + bx + x = 0

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2 years ago
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3 years ago
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Step-by-step explanation:

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