Volume of a rectangular prism(the baseball card case) can be defined as follows: V = lwh
V = lwh
V = 12(6.5)(1.25)
V = 97.5 cm³
First draw sloping up (steep because he’s running)to the right until you hit 20 on the y axis. Next draw down and to the right for 5 yards until 15 on y axis. Next is a flat horizontal line for 3 seconds on x axis. Finally a shallow slope line down (because he is walking) and right until you hit the x axis.
Answer: option d.
Step-by-step explanation:
You have the following formul given in the problem:

You know that:
The number of customers serviced in an hour by the technical support representative is 6 costumbers, therefore:

As the problem asked for the probability that a costumber will be on hold less than 30 minutes, we know that:

Substitute the values above into the formula.
Then, you obtain:
or 95%
Answer:
12.7m
Step-by-step explanation:
The equation for motion to be used to find how far the water travels is
xf = xi + Vix(t) + 1/2axt^2
xf = 0 + ViCos α(t) + 0
xf = ViCosα(t)
xf = 12 Cos 30°(t)
xf = (6√3)t
To find the total times we will use the vertical displacement equation
yf = yi + Viy(t) + 1/2ayt^2
0 = 0 + ViSinα(t) + (1/2 * (-9.8)t^2)
0 = 12Sin30°(t) - 4.9t^2
4.9t^2 = 12Sin30°(t)
4.9t^2 = 6t
Divide through by t
4.9t = 6
t = 6/4.9
t = 1.22secs
Put t = 1.22 into (6√3)t
xf = 6√3 * 1.22
xf = 12.7m
Answer:
B
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos45° =
, then
cos45° =
=
=
( cross- multiply )
c = 3