Answer:
cm per minute.
Step-by-step explanation:
We have been given that a box has a width of 10 cm and a length of 17 cm. The volume of the box is decreasing at a rate of 527 cubic cm per minute, with the width and length being held constant.
We know that volume of a cuboid is length times width times height.
Upon substituting our given width and length, we will get:
Now, we will find derivative of volume with respect to time as:
Since the volume of the box is decreasing at a rate of 527 cubic cm per minute, so we will substitute 
as:
Therefore, the rate of change in height is cm per minute.
Answer: 5.1
Step-by-step explanation:
pythagorean theorem: a^2+b^2=c^2
c^2-b^2=a^2 (switch around some things)
(14.9)^2 - (14)^2 = x^2 (insert values) c=14.9,b=14,a=x
222.01 - 196 = x^2
26.01 = x^2
5.1 = x
Use the cosine rule.
c=AB=7
b=AC=8
a=BC=3
a^2=b^2+c^2-2bc(cos(A))
=>
cos(A)=(b^2+c^2-a^2)/(2bc)
=(7^2+8^2-3^2)/(2*7*8)
=13/14
=0.9286
Answer:
$47.25
Step-by-step explanation:
Earnings = (rate of pay)(number of hours worked)
Here,
Earnings last weekend = ($8.75/hr)(5.4 hrs) = $47.25
Answer:
8
Step-by-step explanation:
2/7 of 21 is 6 1/3 of 21 is 7. 6+7 is 13. 21-13 = 8
