Answer:
Equilateral triangles are sometimes
acute triangles.
Scalene triangles are never
acute triangles.
Right triangles are never
acute triangles.
Obtuse triangles are always
isosceles triangles.
Sketch a right
triangle having adjacent side(A) is given as “3”, hypotenuse side (H) is “x”
and assigning angle “a” as the angle between A and H. Using Pythagorean theorem,
you will get “square root of x-squared minus 9” as the opposite side (O). Using
SOH CAH TOA function, and since secant is the reciprocal of cosine, sec(a) =
x/3. Thus, a = arcsec(x/3). The remaining expression tan(a) is Opposite side
over Adjacent side which is equal to “square root of x^2 - 9” over "3". Therefore, the
algebraic expression would be: tan(arcsec(x/3)) = “sqrt (x^2 -9)” /3. Different answers can be made depending on which side you consider the “3” and “x”.
Answer: .C. The population is the 10,900 respondents to the American Time Use Survey.
Step-by-step explanation:
In statistics , Population is refer to a large group of individuals or observations that have same characteristics.
A sample is a subset drawn from it.
We are given that "The 2015 American Time Use survey contains data on how many minutes of sleep per night each of 10,900 survey participants estimated they get. An SRS (simple random sample) of 100 of the participants has a mean time of x¯=514.4 minutes. "
i.e. The population is 10,900 respondents to the American Time Use Survey.
T is given that 2(3x+x)=6+2x. This is an example of the distributive property.
Answer:
n = -8
Step-by-step explanation:
5+n/8=4
Subtract 5 from each side
5-5+n/8=4-5
n/8 = -1
Multiply each side by 8
n/8 * 8 = -1 *8
n = -8
