Answer:
x=37°
y=6
Step-by-step explanation:
(ASSUMING BD is a perpendicular bisector of AC, otherwise answers maybe be wrong)
Consider the triangle ABC:
AB is the same length as BC (marked), meaning ABC is an isosceles triangle.
Since ABC is isosceles, ∠BAC=∠BCA=53
All angles in a triangle add up to 180:
180=∠ABC + ∠BAC + ∠BCA
180= ∠ABC + 53 +53
∠ABC = 180 - 106
∠ABC = 74
Assuming BD bisects ∠ABC perfectly, x is half of ∠ABC.
x=74/2=37
If BD bisects AC perfectly, AD=DC=y=6
Answer:
If sin 115 degrees≈ 0.91 and cos 115 degrees = -0.42, then sin -115 = -0.91 and cos -115 degrees = 0.42
Step-by-step explanation:
1.a sphere with a radius of three units
By definition, the volume of a sphere is:

Substituting values we have:

Rewriting we have:
2.a cone with a diameter of twelve units and a height of three units
By definition, the volume of a cone is given by:

Substituting values we have:

Rewriting we have:
Answer:
The domain is all real numbers.
The initial value is 3
The simplified base is 
Step-by-step explanation:
The given function is
.
To find the initial value, we put x=0 into the function:
.
.
The initial value is actually 3.
The given function is an exponential function, therefore the domain is all real numbers.
The range of this function refers to all values of y for which the function is defined.
The line y=0, is the horizontal asymptote.
The range is 
The simplified base is
.


