Answer:
5/3
Step-by-step explanation:
Tangent is defined as the length of the opposite side of the triangle divided by the length of the adjacent side of the triangle. Since you know that two of the legs are 3 and 4, using the pythagorean theorem you know that the last side is 5. Sin is defined as the length of the opposite side divided by the length of the hypotenuse, which in this case is 3/5. Cosecant is just the reciprocal of that, or 5/3. Hope this helps!
Answer: 2.396
Step-by-step explanation:
Given : It is claimed that the national average for the price of gasoline in $2.66 per gallon.
i.e. Population mean : 
Sample size : 
Sample mean : 
Standard deviation : 
We assume that the national average for the price of gasoline is normally distributed.
Since the sample size is small (< 30), then we need to calculate t-test statistic for the test .


Hence, the test statistic for this test = 2.396
Answer:
y = -6x^2 - 36x - 30
Step-by-step explanation:
X intercepts are the roots
y = a(x + 1)(x + 5)
to find "a" use point (0, -30)
-30 = a(1)(5)
-30 = a(5)
a = -6
therefor
y = -6(x + 1)(x + 5)
Expanded form
y = -6x^2 - 36x - 30
Answer:
There are 36 people at the meet
Step-by-step explanation:
if the ratio is 4 men to 5 women it means that every time there are 4 men there will be 5 women so its 4/5
and since we know there are 20 men the equation becomes:
4/5 = x/20
so to make 4/5 have 20 as a denominator we multiply by 4/4.
4/5*4/4 = 16/20
So, now we know there are 16 women.
And 16+20 = 36