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:
61.) A, B, A
62.) 120 minutes
Step-by-step explanation:
61.) 48 is a multiple of 6. A multiple is a number which can be fully divided into another number (divded without remainder). Therefore, 48 is a multiple of 6 because 6 * 8 = 48 meaning that 48/6 would equal 8. Because there is no remainder, Carly can put the beads into 6 equal groups.
62.) This is a simple conversion problem. Since they are asking the amount of minutes, you need to convert 2 hours to minutes. You do not need to calculate it or set up a formula because there are 60 minutes in one hour, therore, in 2 hours there are 120 minutes (60 minutes + 60 minutes).
The probability that first a red bead is drawn and next a blue bead is drawn is 7/30,and both events are dependent
<h3>How to determine the probability?</h3>
The distribution of the beads are:
Red = 3
Blue = 7
Total = 10
The probability of selecting the red bead first is:
P(Red) = 3/10
When the red bead is selected, the number of beads becomes 9
So, the probability of selecting a blue bead is
P(Blue) = 7/9
The probability of the event is then calculated using:
P = 3/10 * 7/9
Evaluate
P = 7/30
Hence, the probability of the event is 7/30
Read more about probability at:
brainly.com/question/25638875
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<span>Rock, Carbon, Water, Nitrogen</span>
