Answer:
The value of rate of decrease of volume = - 3600 
Step-by-step explanation:
According to Boyle's law P V = C ------- (1)
Pressure ( P ) = 100 k pa = 10 
Volume ( V ) = 900 
Put these values in equation ( 1 ) we get,
⇒ C = 10 × 900 = 9000 N-cm = 90 N-m
Differentiate Equation ( 1 ) with respect to time we get,
⇒ V 
+ P 
= 0
⇒ V = - P
⇒ = - 
---------- (2)
This equation gives the rate of decrease of volume.
Given that Rate of increase of pressure = = 40
C = 90 N-m
P = 
pa = 10
V = 900
Put all the above values in equation 2 we get,
⇒ = - 
× 40
⇒ = - 3600
This is the value of rate of decrease of volume.
Answer:
E. 0.759
Step-by-step explanation:
You can take this right triangle to have a base length side LM , height of LN and a hypotenuse of MN
The sine of angle ∠LMN is 0.759, find the value of ∠LMN
∠LMN=49.38°
Find angle ∠LNM
You know sum of angles in a triangle add up to 180°, given that this is a right-triangle, the base angle is 90° hence
∠LNM=180°-(90°+49.38°)
∠LNM= 180°-139.38°=40.62°
Find cos 40.62°
Cos 40.62°=0.7590
<u>Answer: </u>120
Since there is the 100 in the triangle, the other two sides in the triangle are equal to each other. So they are both 40
So 180 - 40 = 120
Answer:
153 units squared
Step-by-step explanation:
To solve, multiply your length by your width.
