Answer:
x = 15
y = 12
z = 20
Step-by-step explanation:
For right angle x^2 + z^2 = (9 + 16)^2 => x^2 + z^2 = 625
then z^2 = y^2 + 16^2 => y^2 = z^2 - 256
and x^2 = y^2 + 9^2 => y^2 = x^2 - 81
so z^2 - 256 = x^2 - 81
z^2 = x^2 + 175
replace z^2 = x^2 + 175 into the first equation
x^2 + (x^2 + 175) = 625
2x^2 = 450
x^2 = 225
x = 15
If x = 15 => 15^2 + z^2 = 625 => z^2 = 400 => z = 20
y^2 = z^2 - 256 => y^2 = 400 - 256 = 144
then y = 12
Answer:
the polynomial has degree 8
Step-by-step explanation:
Recall that the degree of a polynomial is given by the degree of its leading term (the term with largest degree). Recall as well that the degree of a term is the maximum number of variables that appear in it.
So, let's examine each of the terms in the given polynomial, and count the number of variables they contain to find their individual degrees. then pick the one with maximum degree, and that its degree would give the actual degree of the entire polynomial.
1) term
contains four variables "x" and two variables "y", so a total of six. Then its degree is: 6
2) term
contains two variables "x" and five variables "y", so a total of seven. Then its degree is: 7
3) term
contains four variables "x" and four variables "y", so a total of eight. Then its degree is: 8
This last term is therefore the leading term of the polynomial (the term with largest degree) and the one that gives the degree to the entire polynomial.
Answer:
4:25
Step-by-step explanation:
Given that,
r₁ = 15 inches, r₂ = 6 inches
The area of the cylinder is given by :

The ratio of surface areas of two cylinders,

Hence, the required ratio is 4:25.
Answer:

Step-by-step explanation:
To solve for q, we initially place everything with the term q to one side of the equality, and everything without the term q to the other side of the equality.
So


We find the square of both sides of the equation. So



