The tip of the hand travels the circumference of a circle with radius (r) 9.5 cm every hour;
The formula for circumference of a circle (c) is:
c = πd = 2πr
So, for a circle with radius 9.5, the circumference is:
c = 2π(9.5)
= 19π cm
The tip travels 19π cm every hour, so in a day of 24 hours it will travel:
24 * 19π = 456π cm
(= 1432.566... ⇒ 1432.6 cm)
Answer:
y = -x +6
Step-by-step explanation:
The 2-point form of the equation for a line through points (x1, y1) and (x2, y2) is ...
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
For your given points, this is ...
y = (1-4)/(5-2)(x -2) +4 . . . . with given points filled in
y = -1(x -2) +4 . . . . . . . . . . . simplify a bit
y = -x + 6 . . . . . . . . . . . . . . simplify to slope-intercept form
We will use the equation
, where P is the initial amount invested, r is the interest rate in decimal form, n is the number of times in a year the money is compounded, and t is the number of years the money will be invested. Our P = 300, r = .04, n = 12 (there are 12 months in a year), and t = 8. Filling in accordingly,
. Simplifying what we can gives us
. Doing that addition inside the parenthesis and then raising that number to the 96th power gives us A(t) = 300(1.376395075) so A(t) = $412.92, choice B above.
Answer:
how many days?
Step-by-step explanation:
My answer would be 25 gallons
Answer:
Step-by-step explanation:
There are three right-angled triangles and two of them have x in their dimensions:
The largest one with one side at 48+x and another at 10
The smallest one with one side at x and another at 10
Those 2 right-angled triangles are similar because of AAA - both have a right-angle and share a common angle.
So their sides are in the same ratio:
x / 10 = 10 / (48+x)
x*(48+x) = 10*10
x^2 + 48x - 100 = 0
(x+50)*(x-2) = 0
x = -50 or 2
As length cannot be negative, x = 2
