Answer: ∠DOB: 48°
Step-by-step explanation:
1. we need an equation first. the sum of all angles (108°, n°, 2n°) is equal to 180°. we can depict this with the equation: 108°+2n°+n°=180°
2. now we can solve for the missing variable, n.
108°+3n°=180° → subtract both sides by → 3n°=72° → divide both sides by 3 → n=24°
3. now that we know that n=24°, we can solve the value of ∠DOB. we can see that ∠DOB is 2n° which we just plug the number we got for n into the equation. 2*24=48° meaning ∠DOB is 48°
hope this heped! ♡
<u>Domain</u> is the <u>x value</u> (here,y) while the <u>range</u> <u>value</u> is <u>y</u> (x,here).
The image is blurry for me but I have explained how to complete this problem, so it should be easier for you.
Answer:
(A)
with
.
(B)
with 
(C)
with 
(D)
with
,
Step-by-step explanation
(A) We can see this as separation of variables or just a linear ODE of first grade, then
. With this answer we see that the set of solutions of the ODE form a vector space over, where vectors are of the form
with
real.
(B) Proceeding and the previous item, we obtain
. Which is not a vector space with the usual operations (this is because
), in other words, if you sum two solutions you don't obtain a solution.
(C) This is a linear ODE of second grade, then if we set
and we obtain the characteristic equation
and then the general solution is
with
, and as in the first items the set of solutions form a vector space.
(D) Using C, let be
we obtain that it must satisfies
and then the general solution is
with
, and as in (B) the set of solutions does not form a vector space (same reason! as in (B)).
the abswer of this question is c