1/√2
Step-by-step explanation:
Imagine a right-angled triangle, for e.g. Triangle ABC,
Where
B = 90°
Remember your Toa Cah Soh.
sin 45° = opposite / hypotenuse
If theta = 45°
Angles A and C = 45° (Sum of angles in a triangle equal = 180°)
Since theta are the same, we can also deduce that the length AB and BC are the same.
Take for example AB = BC = 1 = opposite
By the Pythagorean theorem,
AB² + BC² = AC²
1² + 1² = AC²
2 = AC²
AC = √2 = hypotenuse
Therefore:
sin 45° = opposite / hypotenuse
sin 45° = 1/√2
Give a algebraic expression for the number of non overlapping triangles in a polygon that has "n" sides
Answer:
P( At least one of the two cards was a heart)=7/16
Step-by-step explanation:
The solution to this question can be found in two ways.
First way: Since total number of heart in a deck are four,
Probability that neither of two cards had a heart is that at both times the card drawn was not a heart, since it is an independent event, thus probability both were not heart=
×
=
Thus, Probability that at least one of the two cards was a heart= 1- P( Neither of two cards had a heart= 1- 
=
Second way:
Probability that first card drawn is a heart and the second one is not a heart=
×
=
Probability that the first card drawn is not a heart and the second one is a heart=
×
=
Probability that both cards drawn are hearts=
×
=
Adding all these probabilities, we have the probability that at least one of the card drawn was heart= 
Answer: 4
Step-by-step explanation: yup
There were 30 boys and 10 dogs. 40 heads all together . Then each boy has 2 feet so thats 30*2 = 60 and each dog has 4 feet thats 10*4 = 40 60+40=100 feet