Hello from MrBillDoesMath
Answer:
[email protected] = - sqrt(7)/ 4
which is choice B
Discussion:
This problem can be solved by drawing triangles and looking at ratios of sides or by using the trig identity:
([email protected])^2 + (sin2)^2 = 1
If [email protected] = 3/4
, the
([email protected])^2 + (3/4)^2 = 1 => (subtract (3/4)^2 from both sides)
([email protected])^2 = 1 - (3/4)^2 = 1 - 9/16 = 7/16
So...... taking the square root of both sides gives
[email protected] = +\- sqrt(7)/ sqrt(16) = +\- sqrt(7)/4
But is [email protected] positive or negative? We are told that @ is in the second quadrant and cos(@) is negative in this quadrant, so our answer must be negative
[email protected] = - sqrt(7)/ 4
which is choice B
Thank you,
Mr. B
Answer:
Step-by-step explanation:
when you are taking (4/10) and dividing it by 2. you have a fraction over a fraction. if you remember what you do to the top part of the equation you do to the bottom. so we want to get rid of dividing by 2. (multiple by the reciprocal) the reciprocal of 2 is 1/2. that will cancel out the bottom part of the equation but what you do to the bottom you have to do to the top. so, (4/10) * 1/2 is the same as (4/10) divided by 2. hope that makes sense. it's much easier to write out then type math...
Answer:
Step-by-step explanation:
We are given the following in the question:
The length of the pen will be 5 feet more than twice as long as the width of the pen.
Let y be the length and x be the width. Thus, we can write:
Fencing = Perimeter of rectangular pen
The cost of the pen will be $7.50 per foot of fencing.
Total Cost of fencing =
is the required cost function.
OCTA=8, an octagon has 8 sides, thus if one side is 6mm, then all sides, namely the perimeter, is 6+6+6+6+6+6+6+6, or 48.
now, we know what the apothem is.
Answer:
B. The expression has 4 factors and 0 constants.
Step-by-step explanation:
To be more elaborate, let's take the different parts of the expression
4ab(c+3)
The factors separately are:
4
a
b
(c+3)
Factors are numbers or expressions that produce a givens product.
Looking at the expression we can rewrite it as:
4 x a x b x (c+3)
The overall value with be the product of all the factors.