Answer:
32
Step-by-step explanation:
side 1 - 13 (9+3)
base - 6 (3+3)
side 2 - 13 (9+3)
Triangle perimeter formula - a + b +c
13 + 6 + 13 = 32
The first thing we must do in this case is to define variables:
t = time to write the words
v = write speed.
w = number of words.
The correct expression is:
t = w / v
By substituting we have:
t = 1000/6
t = 166.6666667
Rounding:
t = 167 minutes
Answer:
The correct expression is:
t = w / v
The time is:
t = 167 minutes
Answer:
19.44
Step-by-step explanation:
We have the following information:
3 red balls, 5 green balls, and 1 yellow ball
In total there are 3 + 5 + 1 = 9 balls.
We calculate the probability of each:
Network: 3/9
Green: 5/9
Yellow: 1/9
Each one corresponds a price in profit or losses:
Network: 4
Green: -3
Yellow: 10
So in total it would be the sum of the multiplication of the probability and the price and then multiply everything by 25:
(4 * 3/9 + -3 * 5/9 + 10 * 1/9) * 25 = (0.777) * 25
= 19.44
Answer:
(12,3) A
(-2,-5) B
(1,15) D
Step-by-step explanation:
Check Image below
Answer:
The integral 
is 0.
Step-by-step explanation:
A parameterization of curve C can be:
X (t) = cost 0 <= t <= pi
Y (t) = sint 0 <= t <= pi
r (t) = costi + sintj
r '(t) = -sinti + costj
![Fds = [-costsin^3t + sintcos^3t] dt](https://tex.z-dn.net/?f=Fds%20%3D%20%5B-costsin%5E3t%20%2B%20sintcos%5E3t%5D%20dt)
The integral is given by:
![\int _0^{\pi }\left[-costsin^3t + sintcos^3t dt\right]dt](https://tex.z-dn.net/?f=%5Cint%20_0%5E%7B%5Cpi%20%7D%5Cleft%5B-costsin%5E3t%20%2B%20sintcos%5E3t%20dt%5Cright%5Ddt)
