We can bring the ratios to a similar form, because 2:5 is the same as 4:10 (we can mupltiply rations by the same number)
so one ratio is 4:10 and the other is 4:15 and the difference is is 75 beads
in this ratio, we can see each number corresponding to a "unit" of beads: that means that what changed is that Patricia now has 5 more such groups (15-10=5), and since she has 75 beads more each unit must be 75/5=15.
so afterwards (and before) Karen had 4 such units, that is 60, and Patricia before had 10 such units, that is 150.
Answer:
Distance = 45 meters
Time = 3 seconds
Step-by-step explanation:
Here, we want to calculate distance and time
To find the time, we can use one of the Newtons law of motion
V = U + at
In this question
V = final velocity = 18 m/s
U = initial velocity = 12 m/s
a = acceleration
Thus;
18 = 12 + 2(t)
18-12 = 2t
2t = 6
t = 6/2
t = 3 seconds
Mathematically we can also find the distance using one of the equation of motion;
D = ut + 1/2 at^2
D = 12(3) + 1/2 * (2) * 3^2
D = 36 + 9
D = 45 m
Answer:
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.
Step-by-step explanation:
It’s C because the y-intercept is where the point intersects on the y-axis and the slope goes up one and over 2 to the left making it negative
