Well first we need to subtract the 29.95 from the 100 which equals 70.05 then we divide that by the 48 cents which gives use how far they can go with their mileage, which is 145 miles. hope this helped
Answer:
-4sinθcosθ
Step-by-step explanation:
Note:
1. (a + b)^2 = a^2 + 2ab + b^2
2. (a - b)^2 = a^2 - 2ab + b^2
3. sin^2θ + cos^2θ = 1
(sinθ -cosθ)^2 - (sinθ + cosθ)^2
= sin^2θ - 2sinθcosθ + cos^2θ - (sin^2θ + 2sinθcosθ + cos^2θ)
= sin^2θ + cos^2θ - 2sinθcosθ - (sin^2θ + cos^2θ + 2sinθcosθ)
= 1 - 2sinθcosθ - (1 + 2sinθcosθ)
= 1- 2sinθcosθ -1 - 2sinθcosθ
= - 2sinθcosθ - 2sinθcosθ
= -4sinθcosθ
Answer:
a. 0.588
b. 0.0722
c. 4.576 sqft/sec
Step-by-step explanation:
Let b and h denote the base and height as indicated in the diagram. By pythagoras theorem, because it is a right angle triangle.
It is given that
Now differentiate (1) with respect to t (time) :
The minus sign indicates that the value of h is actually decreasing. The required answer is 0.588.
b. From the diagram, infer that . When b = 8, then .
Differentiate the above equation w.r.t t
c. The area of the triangle is given by . Differentiating w.r.t t,
Plugging in b = 8, h = 13.856, ,
Answer: 30×2n=C
Step-by-step explanation:
30$ is flat fee so no variable
2$ dollars per person so "n" (the number of people) is times 2
= the final cost (C)
Any number that is divisible by 6 is already divisible by 2, but is not necessarily divisible by 12.
Counterexamples include: 6, 18, 30, 42, 54, and so on. You can find more by multiplying 6 by any odd number. However, multiplying 6 by an even number provides another "2" that would make it divisible by 12.