What is lim x->-1 sin(pie/6))this is a timed

Mathematics

1 answer:

dlinn [17]2 years ago

8 0

sin(π/6) is independent of x, so

$\displaystyle \lim_{x\to-1} \sin\left(\frac\pi6\right) = \sin\left(\frac\pi6\right) = \boxed{\frac12}$

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We are interested in the dimensions of a certain rectangle. this rectangle has length twice the side of the square and width thr

Mila [183]

Area of square = s^2
Area of Rectangle = lw
l = 2s

w+3 = s
solve for w, w=s-3
Now we have l and w.
Plug both into area of rectangle formula so: (2s)(s-3)
Since both areas are equal set both equations equal to each other:
(2s)(s-3)=s^2
Now simplify
2s^2-6s=s^2
s^2-6s=0, Solve for s.
Factor polynomial. s(s-6)=0 , s can be equal to 0 or 6. HOWEVER, you cannot have a side length of 0 therefore the side length has to be 6.
Now plug in s for the length formula for the rectangle:
l = 2s so... l = 2(6) so length of rectangle = 12.
Now plug in s for the width formula for the rectangle:
w+3=s so... w+3=6 so width of rectangle = 3.
Now the dimensions of the rectangle are 12 by 3. 12 being length and 3 width.
To CHECK:
Find area of rectangle:
A=lw so A=3 times 12 so A=36
Find area of square:
We know the side is equal to 6 so
A=s^2 so 6^2 = 36
The areas are equal that verifies the answer of 12 by 3.

8 0

3 years ago

Help plz..And No links!! I repeat No links!! = 1 pumpkin

Sedaia [141]

Answer:

In the table:

select 7 pumpkins for Reagan.

select 6 pumpkins for Miles

and select 3 pumpkins for Norma.

Step-by-step explanation:

Have a nice day! :-)

6 0