The letters 's', 't', 'u', 'd', 'y', 'i', 's', 'l', 'a', 'n', 'd' are placed in a bag. one letter is randomly selected from the
Aleks [24]
Answer:
<em><u>7/11</u></em>
Step-by-step explanation:
There are 11 letters in 'S', 'T', 'U', 'D', 'Y', 'I', 'S', 'L', 'A', 'N', 'D', so there are 11 letters in the bag.
There are 7 consonants in the bag.
So, the probability of selecting a consonant is 7 out of 11, or 7/11
Answer:
x = 5
Step-by-step explanation:
It is given that the angle below is a right angle, meaning that it is 90 degrees.
So, 8x and 50 must both add up to 90 degrees.
Let's make an equation that we can solve using this information.
8x + 50 = 90
8x = 40
x = 5
cos(2<em>θ</em>) + sin²(<em>θ</em>) = 0
Half-angle identity:
cos(2<em>θ</em>) + (1 - cos(2<em>θ</em>))/2 = 0
Simplify:
2 cos(2<em>θ</em>) + 1 - cos(2<em>θ</em>) = 0
cos(2<em>θ</em>) = -1
Solve for <em>θ</em> :
2<em>θ</em> = arccos(-1) + 2<em>nπ</em>
2<em>θ</em> = <em>π</em> + 2<em>nπ</em>
<em>θ</em> = <em>π</em>/2 + <em>nπ</em>
where <em>n</em> is any integer.
