Answer:
Step-by-step explanation:
By applying the concept of calculus;
the moment of inertia of the lamina about one corner 
is:
where :
(a and b are the length and the breath of the rectangle respectively )
![I_{corner} = \rho [\frac{bx^3}{3}+ \frac{b^3x}{3}]^ {^ a} _{_0}](https://tex.z-dn.net/?f=I_%7Bcorner%7D%20%3D%20%20%5Crho%20%5B%5Cfrac%7Bbx%5E3%7D%7B3%7D%2B%20%5Cfrac%7Bb%5E3x%7D%7B3%7D%5D%5E%20%7B%5E%20a%7D%20_%7B_0%7D)
![I_{corner} = \rho [\frac{a^3b}{3}+ \frac{ab^3}{3}]](https://tex.z-dn.net/?f=I_%7Bcorner%7D%20%3D%20%20%5Crho%20%5B%5Cfrac%7Ba%5E3b%7D%7B3%7D%2B%20%5Cfrac%7Bab%5E3%7D%7B3%7D%5D)
Thus; the moment of inertia of the lamina about one corner is
Answer: See explanation
Step-by-step explanation:
a. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour.
Speed = Distance / Time
= 112 / 1 45/60
= 112 / 1 3/4
= 112 × 4/7
= 64 miles per hour.
TRUE
b . If 6 pens cost $7.74, then 7 pens cost $9.03.
Cost of one pen = $7.74/6 = $1.29
Cost of 7 pens = $1.29 × 7 = $9.03
TRUE
c. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles.
Speed = Distance / Time
Speed = 256.5 / 57 = 4.5 = 4 hours 30 minutes
FALSE
d. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81.
Cost of one can = $38.59 / 17 = $2.27
Cost of 3 cans = $2.27 × 3 = $6.81
TRUE
e. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.
A dozen = 12
2 dozens = 12 × 2 = 24
Cost of one egg = $8.40 / 24 = 0.35 = 35 cents
FALSE
The correct answer for this question is this one:
"Y<span>our friend says that the graph is not continuous because it stops at d = 5, so the graph is discrete." Your friend is wrong. The graph is still continuous because the graph shows continuity. The problem only shows the graph at certain t time. This means that the graph can be extended at any t time.</span>
Answer: 75 degrees on the other two angles because all of the angles added together should be 180. So if you do 180-30 then divide that by 2 you get the other two angles.
Step-by-step explanation:
