From the given figure, it can be seen that triangle JMS was formed from triangle DPW by performing the following transformations.
Triangle DPW was shifted 1 unit to the left, then it was shifted 5 units down and then it was rotated by 90 degrees to the left.
Answer:
dV = - 5.73*10⁹ m³/s
Step-by-step explanation:
Question: What is the rate of change of the volume of the prism at that instant (in cubic meters per second) ?
A function can be dependent on one or more variables. The change in the function due to a change in one o its variables is given by the functions derivative with respect to that variable. For functions that are composed of products of its variables, we may use the product rule to determine its derivative.
The volume of a square prism with base a and height h is given by
V = a²h
When the base and height are changing, we have
dV = 2ah(da/dt) + a²(dh/dt)
Given
a = 4 Km
h = 9 Km
da/dt = - 7 Km/min
dh/dt = 10 Km/min
we have
dV = 2(4 Km)(9 Km)(- 7 Km/min) + (4 Km)²(10 Km/min)
⇒ dV = - 504 Km³/min + 160 Km³/min = - 344 Km³/min
⇒ dV = - 5.73*10⁹ m³/s
Answer:
a)D= 0.625 Decimal that describes the portion of the workday he has finished
b)P= D*100= 0.625*100=62.5%
P: percentaje
D: Decimal
Step-by-step explanation:
Nomenclature
F: fraction of daily workday
D: decimal of daily workday
P: percentage of daily workday
Formulas
F= a/b
D= a÷b
P= D*100
Problem development
We have:
F = 5/8, then:
D= 5÷8= 0.625
To obtain the percentage of the workday that Matew has completed, we multiply the decimal x 100
P= 0.625*100=62.5%
eu não sei, desculpe companheiro, não me denuncie
Answer:
e
Step-by-step explanation:
