Recall your double-angle identities
Step-by-step explanation:
The point that partitions the segment in a ratio of 3:1 is located at :
Y = -9 + [¾ × (7-(-9)]
= -9 + (¾ × 16)
= -9 + 12
= 3
the coordinates are (2, 3)
The point that partitions the segment in a ratio of 1:3 is located at :
X = 2 + [¼×(2-2)]
= 2 + (¼×0)
= 2+0
= 2
the coordinates are (2, -5)
Answer:
3.60
Step-by-step explanation:
Data provided in the question:
level of significance = 0.05
Sample size , n = 25 observations
correlation coefficient, r = 0.60
Now,
The test statistic to compute whether the population correlation is zero is given using the formula :
t =
on substituting the respective values, we get
test statics , t =
or
t = 3.5968 ≈ 3.60
It will really be helpful in your solution if you draw the rectangle, its diagonal and the altitude of ΔMOP.
By doing so, you will find that ∠MOP is equal to twice m∠AOP and that is equal to 30°. Then, m∠MOP is a vertical angle of m∠NOK which means that they are equal. Therefore, m∠NOK is also 30°.
We know that the sum of the angles of a triangle is equal to 180°.
m∠NOK + m∠OKN + m∠ONK = 180°
And that m∠OKN = m∠ONK
so,
m∠NOK + 2m∠ONK = 180°
Substituting,
30° + 2m∠ONK = 180°
Hence,
m∠ONK = 75°
20, 18,14,24 are not perfect squares