Answer:
4π in ≈ 12.57 in
Step-by-step explanation:
One full revolution (2π radians) is made in 60 minutes. In 40 minutes, the hand moves through an angle θ of (40/60)(2π) = 4π/3 radians. The length of the arc is ...
s = rθ = (3 in)(4π/3) = 4π in ≈ 12.57 in
If it's 5cm x 5 cm x 5cm
Volume is a3
so 125cm
Answer:
Step-by-step explanation:
When we multiply a polynomial by a specific monomial, all terms in the polynomial get multiplied by the monomial.
So we can do this by term.
Multiplying x by x to the something power will just increase the exponent on the x term by one (since powers are just x multiplied by itself). This means the exponent here will increase by 1, so this becomes 
.
Same logic applies to the second term: 
, raise the exponent by one, 
.
For the third term, if there is no exponent on a term you can assume it's exponent is 1 (so 
in this case - as 
). Again, using the same logic, this turns into 
.
For the last term, when we multiply a constant by a variable, we get a term with a variable and a coefficient - the constant becomes the coefficient and the variable stays the variable. Therefore, 
.
Adding these terms all together gets us 
.
Hope this helped!
Answer:
Final cost of ticket = $205
Step-by-step explanation:
Speed limit is given: 60 miles per hour
Car travelling at a speed of: 78 miles per hour
Car is exceeding speed limit by: 78 - 60 = 18 miles per hour
We are given that the dine ticket includes $25 plus $10 for each mile over the speed limit:
Final cost of ticket = $25 + (miles over speed limit * 10)
= 25 + (18*10)
= 25 + 180 = $205
B = Black
G = Green
Y = Yellow
The total number of ways that he can pick a pic are 3 * 3 * 3 = 27 ways
If he picks Black for the first pic The number of successful ways that he picks two in a row are
B B G
B B Y
B G G
B Y Y Total 4 ways.
If he picks Green first the number of ways are
G G B
G G Y
G B B
G Y Y Total 4 ways
If he picks Yellow first then the number of ways are
Y Y B
Y Y G
Y B B
Y G G And again there are 4 ways
In all we have 12 successes
There are 12/27 chances of picking 2 pics in a row that are the same color.
4/9 <<<< answer
There must be some way to represent this using combinations, but I'm not sure what it is. However this method works.
