4/5 i think. use pythagorean theorem to find the length of the hypotenuse, and then from there you can find sin, because sin= opposite/hypotenuse. dont forget to reduce!!
Answer: positive force → balanced force → negative force
Step-by-step explanation: I just did it
Answer:
The total payment is thus $35.75 plus $7.11, or $42.86
Step-by-step explanation:
Note that the sales tax doesn't affect the tip. The sales tax is 5% of the cost and the tip is 15% of the before tax cost. We calculate the tax and the tip separately, then add them together and finally add this sum to the cost.
Sales tax: 5% of $35.75: $1.75
Tip: 15% of $35.75: $5.36
Adding these two quantities results in $7.11.
The total payment is thus $35.75 plus $7.11, or $42.86
First one is 0 second is 1 third is 2 and fourth is 3 hope it helps
Answer:
The proof is detailed below.
Step-by-step explanation:
We will first prove that if H(x) is a differentiable function in [a,b] such that H'(x)=0 for all x∈[a, b] then H is constant. For this, take, x,y∈[a, b] with x<y. By the Mean Value Theorem, there exists some c∈(x,y) such that H(y)-H(x)=H'(c)(x-y). But H'(c)=0, thus H(y)-H(x)=0, that is, H(x)=H(y). Then H is a constant function, as it takes the same value in any two different points x,y.
Now for this exercise, consider H(x)=F(x)-G(x). Using differentiation rules, we have that H'(x)=(F-G)(x)'=F'(x)-G'(x)=0. Applying the previous result, F-G is a constant function, that is, there exists some constant C such that (F-G)(x)=C.