Answer:

Step-by-step explanation:
We are given the following in the question:
Let the equation:

be the linear equation that represent temperature at an elevation x.
Temperature at 6000-foot level = 76 f

Temperature at 12000-foot level = 49 f

Solving the two equation, we get,

Thus, we can write the linear equation as:

Answer:
1.) Tan C = 
2.) Sin Z =
or
if reduced
3.) Cos A = 
4.) Cos A = 
Step-by-step explanation:
Let's keep in mind that;
Sin = 
Cos = 
Tan = 
Hope this helps!
Answer:
x= 8
Step-by-step explanation:
5.5(x-3)=17+10.5
5.5x - 16.5= 27.5
5.5x= 44
x= 8
Answer:
Yes, your answers are correct.
The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is
V = 1/3π(2²)(8) = 32π/3
We divide the volume of the sink, 2000π/3, by the volume of the cone:
2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.
The diameter of the second conical cup is 8, so the radius is 4. The volume then is:
V = 1/3π(4²)(8) = 128π/3
Dividing the volume of the sink, 2000π/3, by 128π/3:
2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16
(-4)^2-4(1)(5)
16-4(1)(5)
16-4(5)
16-20
-4
The discriminant is negative so there are no real number solutions.