[tan(y) + cot (y)]/csc (y)
tan (y) = sin (y)/cos (y)
cot (y) = cos (y)/sin (y)
csc (y) = 1/sin (y).
Now rewrite the expression with the equivalent values
[sin (y)/cos (y) + cos (y)/sin (y) ] / [1/sin (y)]
1st, let's work the Numerator only = [sin (y)/cos (y) + cos (y)].
= [(cos² (y) + sin² (y)]/ [cos (y).sin(y)]
or (cos² (y) + sin² (y) = 1, →Numerator = 1/[cos (y).sin(y)]
Denominator = csc (y) = [1/sin (y)], Then:
N/D = 1/[cos (y).sin(y)] / [1/sin (y)] = [1 x sin (y)]/ [cos (y).sin (y)] = 1/cos (y)
Or 1/cos (y) = sec (y) Q.E.D
Answer:
4/9
Step-by-step explanation:
4 Squares of 9 are shaded = 4/9
Answer:
105 boats
Step-by-step explanation:
Let x be the total number of boats in the marina.
If Two-thirds of the boats in the marina are white.
Fraction of the remaining boat= 1-⅔ =⅓
4/7 of the remaining boats are blue.
4/7 of ⅓ are blue
4/7 X ⅓ = 4/21 are blue
Fraction of Red Boats =
1-(Proportion of white Boats +Proportion of Blue Boats)
= 1-(2/3+4/21)=1/7
If there are 15 red boats,
1/7 of the total boats =15
1/7 X x=15
x=15X7
x=105
There are 105 boats in total on the marina
Answer:
The true estimate of the average annual income of all 700 families living in a four square block section lies within the 92% confidence interval below
Step-by-step explanation:
From the question we are told that
The sample size is n = 50
The sample mean is 
The population standard deviation is 
From the question we are told the confidence level is 92% , hence the level of significance is
=> 
Generally from the normal distribution table the critical value of 
is
Generally the margin of error is mathematically represented as
=> 
=> 
Generally 92% confidence interval is mathematically represented as
=> 
=>
So the true estimate of the average annual income of all 700 families living in a four square block section lies within the 92% confidence interval
Writing? any ways if 3 miles is 1/4 of the total path then there is 3/4 remaining and we know that 1/4 is 3 miles so how many times does one fit into the denominator(4) it fits 4 times so muptily 3 by4 and you have your answer(12)
