Answer:
8.94 m
Step-by-step explanation:
Use the Pythagorean Theorum -
. Use leg 1 as <em>a</em>, leg 2 as <em>b</em>, and the third side as <em>c</em>.
We know leg 1 is 4, and that leg 2 is twice as long as leg 1...

Now, we use the Order of Operations to find
...

Now, we find the square root of
to find c...

So, the length of the third side is 8.94 m.
Answer:
The linear speed is 
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference is equal to

we have


substitute


step 2
Find the linear speed in feet per minute
we know that
The wheel is rotating at 10 revolutions per minute
Convert revolutions to feet
Remember that
One revolution is equal to the circumference of the circle
so
10 revolutions is equal to

therefore
The linear speed is 
Answer:
332, 333, 334
Step-by-step explanation:
First, we acknowledge that the equation that we need to solve will be "x+(x+1)+(x+2)=999" This is because x represents the smallest of three consecutive numbers whose sum is 999. Simplifying this equation will leave us with 3x+3=999 which is simplified further to 3x=996 and again simplified to x=332. X is the smallest number of the three.
Answer:
E, A, F
Step-by-step explanation:
Answer:
The average rate of change from x=0 to x=1 for f(x) is 0.
Step-by-step explanation:
We are given the function
.
Now, the rate average rate of change of a function from
to
is given by
.
As, we need the rate of change from x = 0 to x = 1.
So, we will find the values of f(0) and f(1).
i.e.
i.e. f(0) = 3
and
i.e.
i.e. f(1) = 3
Thus, the rate of change from x=0 to x=1 is
i.e.
i.e. 0
Hence, the average rate of change from x=0 to x=1 for f(x) is 0.