Answer:
Step-by-step explanation:
A triangle whose sides are 5-12-13 is a right angle triangle because the sides form a Pythagoras triple. This means that
Hypotenuse² = opposite side² + adjacent side²
If hypotenuse = 13,
Opposite side = 12, then we can determine one acute angle by applying the sine trigonometric ratio
Sin θ = opposite side/adjacent side
Sin θ = 12/13 = 0.923
θ = Sin^-1(0.923) = 67.4°
The other acute angle is
90 - 67.4 = 22.6°
For 9-12-15 triangle
Sin θ = 12/15 = 0.8
θ = Sin^-1(0.8) = 53.1°
The other acute angle is
90 - 53.1 = 36.9°
For 13- 14-15 triangle,
Sin θ = 14/15 = 0.933
θ = Sin^-1(0.933) = 68.9°
The other acute angle is
90 - 68.9 = 21.1°
Another example would be 3-4-5
Sin θ = 4/5 = 0.933
θ = Sin^-1(0.8) = 53.1°
The other acute angle is
90 - 53.1 = 36.9°
The probability of drawing two blue marbles if the first marble is not replaced is 1/5
<h3>How to determine the probabilities?</h3>
<u>The probability of tossing a head and drawing a red marble</u>
The given parameters are:
White = 1
Blue =3
Red = 2
Total = 6
The probability of a head is
P(Head)= 1/2
The probability of drawing a red marble is
P(Red)= 2/6 = 1/3
The required probability is
P = P(Head) * P(Red)
This gives
P = 1/2 * 1/3
P =1/6
<u>The probability of drawing two blue marbles if the first marble is not replaced.</u>
Here, we have:
P(B1) = 3/6 = 1/2
P(B2) = 2/5
The required probability is
P = P(B1) * P(B2)
This gives
P = 1/2 * 2/5
P =1/5
Hence, the probability of drawing two blue marbles if the first marble is not replaced is 1/5
Read more about probability at:
brainly.com/question/24756209
#SPJ1
Answer:
6x +2x squared - 4
that's the answer. you need to group the like terms
Answer:
in the first diagram
there is a statement that if 2 lines are cut by a traversal then the corresponding angles are equal
in this the 2 angles are corresponding and equal that is why they are parallel
in the second pic
I can't understand what to do if you tell me then I'll answer in comments
