Answer:
dV/dt = 155.74 ft^3/minute
Step-by-step explanation:
Volume V = Area × thickness
Area A= πr ^2
Thickness = 0.2 ft
Volume V = 0.2A = 0.2πr^2
V = 0.2πr^2
Differentiating both sides;
dV/dt = 0.2π × 2r dr/dt = 0.4πr.dr/dt
Given;
r = 400 ft
dr/dt = 0.31 ft/minute
π = 3.14
Substituting the values
dV/dt = 0.4πr.dr/dt = 0.4 × 3.14 × 400 × 0.31
dV/dt = 155.74 ft^3/minute
Answer:
Option 3.
Step-by-step explanation:
A parallelogram is said to be a rectangle if
1. Opposite pair of lines are equal and parallel
2. Adjacent lines meet each other at 90 degrees.
Hence we have third option which satisfies both the conditions.
T over x is your starting debut
add 40 from your original answer and divide by two
triplemente the second number and switch your trinomial by three
<u><em>Answer:</em></u>
The longest bread stick is approximately 16 in
<u><em>Explanation:</em></u>
The diagram representing the tray is shown in the attached image
From the diagram, we can note that the diagonal of the tray represents the hypotenuse of a right-angled triangle having legs 9.5 in and 13 in
<u>Therefore, to get the length of the hypotenuse, we can use the Pythagorean equation which is as follows:</u>
c² = a² + b²
where c is the length of the hypotenuse and a and b are the length of the two legs
<u>Substitute with the givens in the above equation to get the length of the hypotenuse as follows:</u>
c² = (9.5)² + (13)² = 259.25
c = 16.1 in which is approximately 16 in
<u>From the above, we can conclude that:</u>
The longest bread stick that can be fit straight along the diagonal of the tray is approximately 16 in
Hope this helps :)
There are different definitions of "whole numbers".
Some define it as an integer (i.e. positive or negative) [some dictionaries]
Some define it as a non-negative integer. [most math definitions]
We will take the math definition, i.e. 0<= whole number < ∞
To find pairs (i.e. two) whole numbers with a sum of 110, we start with
0+110=110
1+109=110
2+108=110
...
54+56=110
55+55=110
Since the next one, 56+54=110 is the same pair (54,56) as 54+56=110, we stop at 55+55=110 for a total of 56 pairs.
