Answer:
x=4.0625 cm
Step-by-step explanation:
The Pythagorean theorem states that the square of the hypotenuse of a right triangle equals the sum of the squares of the two legs.
Not knowing which is the hypotenuse, lets assume that (x+5)cm is the hypotenuse:
(x+5)^2= 9^2+(x-3)^2
(x^2+10x+25)=81+(x^2-6x+9)
x^2+10x+25=81+x^2-6x+9
16x=65
x=4.0625
Checking:
(4.0625+5)^2=9^2+(4.0625-3)^2
82.1289=82.1289
<span> The geometric mean of two non negative numbers x and y is √(xy). (mean square root of XY)
So the geometric mean of 2/3 and 27/40 is
√(2/3 * 27/40)
= √(54 / 120)
= √(27 / 60)
= √(9 / 20)
= 3 / √20
= 3 / 2√5
= 3√5 / 10. </span>
Answer:
The form for an exponential equation is f(t)=P0(1+r)t/h where P0 is the initial value, t is the time variable, r is the rate and h is the number needed to ensure the units of t match up with the rate. Plug in the initial value for P and the rate for r. You will have f(t)=1,000(1.03)t/h. Find h.
Step-by-step explanation:
It works for me