x = the length of one piece
y = the length of the other piece
the total length is 100 cm this means
x + y = 100
one piece is 16 inches longer than the other
first we need to convert inches to cm:
1 in = 2.54 cm
16 in = 2.54*16 = 40.64
now we can write
x = y + 40.64
by solving the system of equations
x + y = 100
x = y + 40.64
we find
x = 70.32 cm
y = 29.68 cm
the lengths of the two pieces are 70.32 cm and 29.68 cm.
Answer:

Step-by-step explanation:
The depth function is:

After 3 minutes, a submarine had descended to −320 feet.
This means that
. So


After 8 minutes, the submarine had descended to −420 feet.
This means that
. So


From the first equation:

So





And

So

Answer:
a) 3 inch pulley: 11,309.7 radians/min
6) 6 inch pulley: 5654.7 radians/min
b) 900 RPM (revolutions per minute)
Step-by-step explanation:
Hi!
When a pulley wirh radius R rotantes an angle θ, the arc length travelled by a point on its rim is Rθ. Then the tangential speed V is related to angular speed ω as:

When you connect two pulleys with a belt, if the belt doesn't slip, each point of the belt has the same speed as each point in the rim of both pulleys: Then, both pulleys have the same tangential speed:


We need to convert RPM to radias per minute. One revolution is 2π radians, then:


The saw rotates with the same angular speed as the 6 inch pulley: 900RPM
Let's multiply out the equation 6x+2 times 6x+2 using the square. Draw a 2 by 2 bow and put the equation across the bottom and verically. Multiply across to get this. 6x times 6x =36x^2 6x times two =12x do it again and get 12x. 2*2=4. That means x would equal 24.