Answer:
Top left triangle has the greatest area
Step-by-step explanation:
Area of a triangle:
area = base × height / 2
a = bh/2
Top Left Triangle:
a = 6 × 5.2 / 2
a = 31.2 / 2
a = 15.6
Top Right Triangle:
a = 8 × 2.9 / 2
a = 23.2 / 2
a = 11.6
Bottom Left Triangle:
a = 2 × 7.9 / 2
a = 15.8 / 2
a = 7.9
Compare areas:
15.6 > 11.6 > 7.9
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
12t (that's the $12 for a shirt) + 25s (25 dollars for shorts) < (or equal too) 126
The combination cost for the shirts and shorts has to be less than or equal to $126
t + s > (or equal too) 5
The total number of items has to be greater then or equal too or equal to 5
Answer:
12,600
Step-by-step explanation:
7.90×7=55.30. 6.80×1=6.80. 55.30 + 6.80=62.10 Total
