Answer:
275 seconds, or 4 min 35 s
Step-by-step explanation:
The first set is red for 15 seconds and green for 40 seconds, so it repeats the cycle every 55 seconds.
The second set is red for 35 seconds and green for 15 seconds, so it repeats the cycle every 50 seconds.
A car will stop at the first set, wait 15 seconds, then drive for 60 seconds to the second set, which will just turn red. So we need to find how many cycles it takes for the beginning of the two sets to be 75 seconds apart.
If x is the number of cycles of the first set, and y is the number of cycles of the second set, then:
55x + 75 = 50y
y = 1.1x + 1.5
y must be an integer, so we need to find an integer value of x such that 1.1x ends in 0.5. For example, x = 5.
y = 1.1(5) + 1.5
y = 5.5 + 1.5
y = 7
If we wait for the first set to cycle 5 times, the beginning of the 6th cycle will be 75 seconds before the beginning of the second set's 8th cycle. So the pedestrian must wait 5 × 55 = 275 seconds, or 4 min 35 s.
X is equal to 10 cuz u would sub 70-60
Answer:
x = 134
Step-by-step explanation:
Given that,
Five angles of a hexagon measures 119, 129,104,139 and 95 degrees.
We know that,
The sum of interior angles of a hexagon must equal 720 degrees.
So,
119+129+104+139 +95+x = 720
Where
x is the sixth angle
So,
586+x=720
x = 720-586
x = 134
So, the sixth angle is equal to 134.
Complimentary angles add to equal 90°. Write two equations to solve for two variable.
J + K = 90
J = K - 18
use substitution or elimination to solve
I will use substitution. substitute (K - 18) for J in the first equation to combine equations into one in only variable K.
(K - 18) + K = 90
2K - 18 = 90
2K = 90 + 18
2K = 108
K = 108/2
K = 54°
J and K are complimentary.
J + 54° = 90°
J = 36°
Answer:
A cross section is the intersection of a figure in three-dimensional space with a plane. A cross section is the face you obtain by making a "slice" through a solid object. A cross section is two-dimensional. We see cross sections in everyday life.