The common denominator of both fractions is 60.. You can convert 11/12 into 55/60 by multiplying both the numerator and denominator by 5, and you can also convert 7/20 into 21/60 by multiplying both the numerator and denominator by 3. 55/60-21/60= 34/60, simplified to 17/30.
Hope it helped!
Answer:
2000π in³/s
or 6283.2 in³/s
Step-by-step explanation:
dr/dt = 5
volume of sphere is given as
v = (4/3)(π)r³
differentitate wrt r
dv/dr = 3×4/3 ×π×r²
dv/dr = 4πr²
put r = 10
dv/dr = 4π(10)²
dv/dr = 400π
by chain rule
dv/dt = dv/dr ×dr/dt
dv/dt = 400π× 5
dv/dt = 2000π in³/s
or dv/dt =6283.2 in³/s
m∠P = 144°
Solution:
PQRS is a parallelogram.
m∠P = 12a°, m∠Q = (4a - 12)° and m∠S = 3a°
<em>In parallelogram, opposite angles are congruent.</em>
m∠Q = m∠S
4a° - 12° = 3a°
Add 12° on both sides.
4a° - 12° + 12° = 3a° + 12°
4a° = 3a° + 12°
Subtract 3a° on both sides.
4a° - 3a° = 3a° + 12° - 3a°
a° = 12°
<u>To find the measure of angle P:</u>
m∠P = 12a°
= 12(12°)
m∠P = 144°
