Answer: x=-10.2 but for me the real answer is x=10.2 but go for x=-10.2
Step-by-step explanation: hope this help
If the sine if 4/5, then the side opposite is 4 and the hypotenuse is 5. This means it's the 3, 4, 5 right triangle (or similar, such as 6, 8, 10).
cos = 3/5
tan = 4/3
cot = 3/4
sec = 5/3
csc = 5/4
Answer:
The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.
Step-by-step explanation:
Volume of a sphere:
The volume of a sphere is given by the following equation:

In which r is the radius.
Implicit derivatives:
This question is solving by implicit derivatives. We derivate V and r, implicitly as function of t. So

The radius of a sphere is increasing at a rate of 4 mm/s.
This means that 
How fast is the volume increasing (in mm^3/s) when the diameter is 60 mm?
This is
when
. So



The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.
Answer:
8 gallons
Step-by-step explanation:
#1: Set up a ratio from the recipe: gallons of punch to the number of people.
2 gallons 15 people
#2: Set up a ratio of gallons to the people coming to the party.
(Place the gallons on top) x gallons 60 people
#3: Set up a proportion 2 gallons x gallons
15 people = 60 people
* Like units should be across from each other
4) Solve using the "lonely mate" formula
2 gallons x gallons
15 people = 60 people
2 x 60 = 120
120/15 = 8
This means she should make 8 gallons.
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