Answer:
see explanation
Step-by-step explanation:
let pq = x
given oq - pq = 1 then oq = 1 + x
Using Pythagoras' identity, then
(oq)² = 7² + x²
(1 + x)² = 49 + x² ( expand left side )
1 + 2x + x² = 49 + x² ( subtract 1 from both sides )
2x + x² = 48 + x² ( subtract x² from both sides )
2x = 48 ( divide both sides by 2 )
x = 24 ⇒ pq = 24
and oq = 1 + x = 1 + 24 = 25 ← hypotenuse
sinq = 
= 
cosq = 
= 
Answer:
The probability is 1/8 or 0.125
Step-by-step explanation:
In this question, we are concerned with calculating the probability that when a coin is flipped there would be a show of heads three times.
In flipping of a coin, there are only two possible results with equal probability. The probability of both events i.e P(H) and P(T) is equal and that is 1/2
Thus the probability of getting heads three times in a row will be P(HHH) meaning P(H) and another P(H) and another P(H)
When we have and in a probability question, that means we are to multiply the probabilities together.
Hence, P(HHH) = 1/2 * 1/2 * 1/2 = 1/8
Answer:
I took the test, Its B) 41.1
Answer:
6, 12, 18, and 24
Step-by-step explanation:
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24. Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24. Common multiples of 2 and 3 include 6, 12, 18, and 24.
The x-intercept is (4,0).
The y-intercept is (0,6).
