Use Pythagorean theorem
/17 ^ 2 + x ^ 2 = 20 ^ 2
17 + x^2 = 400
x^2 = 383
x = 19.57
Answer:
the first one
Step-by-step explanation:
Answer:
The surface area is about 408.47
Step-by-step explanation:
We must use Pythagorean Theorem in order to find the the height of the cone in order to use the surface area of a cone formula. The formula that you use would be A=πr(r+h2+r2). You already have the radius which is 5.
Pythagorean Theorem
You have two leg measurements of the triangle, one of which is the hypotenuse. The hypotenuse is 21.
- a^2 + (5)^2 = (21)^2
- a^2 +25 = 441
Subtract 25
Take the square root of 416 and you get about 20.4. So the height of the cone would be about 20.4.
πr(r+h2+r2) ----> π(5)(5+(20.4)2+(5)2) and you get about 408.47
Answer:
See explanation below
Step-by-step explanation:
<u>First we will solve the radical equation</u> (which I guess was problem 1),
Let's start by simplifying it:

Now we will solve the equation by squaring both sides of the equation:

So the calculation for x was that x = -10
However, this does not produce a solution to the equation: When we plug this value into the radical equation we get:

This happens because <u>when we first squared both sides of the equation in the first part of the problem we missed one value for x </u>(remember that all roots have 2 answers, a positive one and a negative one) while squares are always positive.
When we squared the root, we missed one value for x and that is why the calculation does not produce a solution to the equation.
The first translation is 3 units to the right giving in new equation
y = sqrt(x - 3)
then translation of 2 units vertically upwards makes
h(x) = sqrt(x - 3) + 2