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:
A'(-4,-3)
Step-by-step explanation:
use formula of reflection over y axis
(x,y)=(-x,y)
A(4,-3)=A'(-4,-3)
Answer:
slope=-2
Step-by-step explanation:
First you need to know the slope formula: y2-y1/x2-x1
Then you just plug in and solve:
-3-1/7-5 = -4/2 = -2
Answer: 13 1/8
Explanation: since he cut two pieces and each piece is 4 1/4 you’re going to add 4 1/4 to 4 1/2 which makes it two pieces and the sum would be 8 1/2 then you’re going to 8 1/2 from the original length, 21 5/8 which is going to leave you with the remaining length being 13 1/8.
Hope it helps:)
first we work in the braces witch are these []
(-5) x 3 = -15
then multiply again
-15 x 2 = -30
Answer: -30