Answer:
120
240
Step-by-step explanation:
We call the length of first part x
Length of second part = y
In the first scenario, it took the tortoise 110 sec to walk the first part and crawl the second.
So,
We have this equation,
x/4 + y/3 = 110
We take the LCM
(3x + 4y)/12 = 110
When we cross multiply
3x + 4y = 110x12
3x + 4y = 1320 ----- equation 1
For scenario 2
x/3 + y/4 = 100
When we take the LCM
(4x + 3y)/12 = 100
We cross multiply
4x + 3y = 100x12
4x + 3y = 1200 ------ equation 2
We now have two equations and we will solve for x and y using simultaneous linear equation.
3x + 4y = 1320 ----- 1
4x + 3y = 1200 ----- 2
We subtract equation 2 from 1 to get
- x + y = 120
We make y subject
y = x + 120 ----- 3
We put the value of y in equation 3 into equation 1
3x + 4(x + 120) = 1320
3x + 4x + 480 = 1320
7x + 480 = 1320
7x = 1320-480
7x = 840
We divide through by 7
x = 840/7
x = 120
We put value of x in equation 3
y = x + 120
y = 120 + 120
y = 240
120 and 240 are the lengths of the 2 parts of the journey.
Thanks
Answer:
θ = π + periods of 2π
Sin (π + 2π) = 0
Cos (π + 2π) = -1
Tan (π + 2π) = 0
Step-by-step explanation:
Sin (θ)=0 implies that θ only can be 0 or π plus periods of 2π:
θ = 0+2π
θ = π+2π
For Cos(θ) the values only can be:
Cos (0+2π) = 1 and
Cos (π+2π) = -1
from this, only Cos (π+2π) < 0
So θ only can be θ=π+2π
Found this on socratic !!! hope this helps !!!!
The answer is C because when adding two negatives it equals a positive
