Answer:
C. 24.27 cm
Step-by-step explanation:
sin 65° = opposite ÷ hypotenuse
sin 65° = 22/x
multiply both sides of the equation by x
(sin 65°)x = 22
divide both sides of the equation by sin 65°
x = 22 ÷ sin 65°
punch in 65 sin into your calculator
x = 22 ÷ 0.90631
x = 24.27 cm
We are going to rewrite both numbers:
(4.2 × 10 ^ 6) = 4200000
(2.25 × 10 ^ 5) = 225000
Adding we have:
4200000 + 225000 = 4425000
Rewriting in exponential notation we have:
4425000 = 4,425 * 10 ^ 6
Answer:
(4.2 × 10 ^ 6) + (2.25 × 10 ^ 5) is equal to:
4,425 * 10 ^ 6
Answer:
r = √13
Step-by-step explanation:
Starting with x^2+y^2+6x-2y+3, group like terms, first x terms and then y terms: x^2 + 6x + y^2 -2y = 3. Please note that there has to be an " = " sign in this equation, and that I have taken the liberty of replacing " +3" with " = 3 ."
We need to "complete the square" of x^2 + 6x. I'll just jump in and do it: Take half of the coefficient of the x term and square it; add, and then subtract, this square from x^2 + 6x: x^2 + 6x + 3^2 - 3^2. Then do the same for y^2 - 2y: y^2 - 2y + 1^2 - 1^2.
Now re-write the perfect square x^2 + 6x + 9 by (x + 3)^2. Then we have x^2 + 6x + 9 - 9; also y^2 - 1y + 1 - 1. Making these replacements:
(x + 3)^2 - 9 + (y - 1)^2 -1 = 3. Move the constants -9 and -1 to the other side of the equation: (x + 3)^2 + (y - 1)^2 = 3 + 9 + 1 = 13
Then the original equation now looks like (x + 3)^2 + (y - 1)^2 = 13, and this 13 is the square of the radius, r: r^2 = 13, so that the radius is r = √13.
