Given:


To find:
The quadrant of the terminal side of
and find the value of
.
Solution:
We know that,
In Quadrant I, all trigonometric ratios are positive.
In Quadrant II: Only sin and cosec are positive.
In Quadrant III: Only tan and cot are positive.
In Quadrant IV: Only cos and sec are positive.
It is given that,


Here cos is positive and sine is negative. So,
must be lies in Quadrant IV.
We know that,



It is only negative because
lies in Quadrant IV. So,

After substituting
, we get





Therefore, the correct option is B.
Answer:
D: Each distribution has a different mean and a different standard deviation.
Step-by-step explanation:
Jewelery maker has
24 jade beads
30 teak Beads
She has to make necklaces with each necklace having the same number of beads
So we need to find the highest common factor for both 24 and 30
The factors for both numbers are as follows
24 -1,2,3,4,6,8,12,24
30 - 1,2,3,5,6,10,15,30
The highest common factor for both is 6
The greatest number of necklaces she can make is 6
Number of jade beads - 24/6 = 4 jade beads
Number of teak beads - 30/6 = 5 teak beads
So each necklace will have 4 jade beads and 5 teak beads
The number lines should show the weights the car seats are designed for in comparison the the weight of the 32lb child. The car seat made for children 30lb and lighter would not work because this child is 32lbs. Model this by placing a filled in circle at 30 and the arrow should face left. The seat for children between 15lbs and 40lbs and the seat designed for a child that is between 30lbs and 85lbs would work because the child is within these weight ranges. The number line for the seat for a 15lb-40lb child would have open circles at 15 and 40 with a line connecting the two points. The number line for a 30lb-85lb child should have filled in circles at these two point with a line connecting them.
Answer:
Option D doesn't make any sense.
Step-by-step explanation:
D) 7 hours of sleep correspond to an age of 19 years.
That is wrong.
If we use the expression provided
hours = 8 + 0.5*(18 -age)
hours = 8 + 0.5*(18 -19)
hours = 8 + 0.5*(-1)
hours = 7.5