Due to apparent doubling of numbers in the question, assume
diameter=13 cm/2=0.065m
h=15 cm=0.15m
rho=5.25*1000=5250 kg/m^3
eta=35%=0.35 [efficiency]
t=12 s
g=3.7 m/s^2
mass, m=rho*V=rho*(4pi/3)(r^3)
=5250 kg/m^3 * (4pi/3)(0.065)^3 m^3
=1.922 kg
Work done in lifting h=0.15m
W=mgh
=1.922pi kg * 3.7 m/s^2 * 0.15 m
=1.067pi kg (m/s)^2
=1.067pi J
Average power required, with efficiency eta=0.35
P=(W/t)/eta
=(1.067pi J )/ (12 s) /0.35
=0.254pi J/s
=0.798W (approx.)
The angles in the other quadrilaterals that are congruent to angle C are: b. angle E and angle K.
<h3>What are Congruent Quadrilaterals?</h3>
Congruent quadrilaterals are quadrilaterals that have corresponding sides that are congruent and also corresponding angles that are congruent and equal to each other.
If two or more quadrilaterals are congruent, they have the same shape and size.
Given that the three quadrilaterals in the image are congruent to each other, all their corresponding angles would also have the same angle measures.
Angle C in quadrilateral ABCDE corresponds to angles E and K in the other two quadrilaterals. Therefore, the angles in the other quadrilaterals that are congruent to angle C are: b. angle E and angle K.
Learn more about congruent quadrilateral on:
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Let the two numbers be x and y.
The sum is 45, therefore
x + y = 45 (1)
The difference is 5, therefore
x - y = 5 (2)
Add equations (1) and (2).
x + y + (x - y) = 45 + 5
2x = 50
x = 25
From (1), obtain
25 + y = 45
y = 45 - 25 = 20
Answer: 20 and 25
Area=πr^2 * β/360
=3.142*(6^2)(60/360)
18.852cm^2
option D is the answer
