Step-by-step explanation:
C= pi×d
d=.5 meters
so plug in the numbers
3.14 × .5= 1.75
circumference= 1.75 meters
Step-by-step explanation:
The equation that is given is only for the specific place of that object. To find the velocity, you need to take the derivative of the equation. This will give you:

Now, to find the average velocity of this object, plug in the values given to you. It's between the time interval [1, 2] so these are the two numbers you'll plug into the velocity equation. Finding this average is like finding any other average.
So


Average velocity is 0.5 sec
To find instantaneous velocity just find the velocity at time one. Think about the name "instantaneous velocity," it's the velocity in that <u>instant</u>.
We already found this, so I don't need more work (it's displayed above).
The instantaneous velocity when
is 2.5 sec.
Just do 5 1/5 divided by 1 2/5
Answer:
The actual length of the bridge is 600 meters
Step-by-step explanation:
we know that
The scale on a map is

That means
1 unit on a map represent 40,000 units in the actual
1 cm on a map represent 40,000 cm in the actual
Remember that

so

we can rewrite the scale as

using proportion
Find out the actual length of the bridge in meters if the length of a bridge on a map is 1.5 cm.
Let
x ----> the the actual length of the bridge in meters

Answer:
(x - 3)(x - 9i)(x + 9i)
Step-by-step explanation:
note that x = 3 gives
3³ - 3(3)² + 81(3) - 243 = 27 - 27 + 243 - 243 = 0, hence
x = 3 is a root and (x - 3) is a factor
x³ - 3x² + 81x - 243 ÷ (x - 3)
= (x - 3)(x² + 81)
solve x² + 81 = 0 ⇒ x² = - 81 ⇒ x = ± 9i, thus
x³ - 3x² + 81x - 243 = (x - 3)(x - 9i)(x + 9i) ← in factored form