F you just want to see the really short way, just skip down to AAAAAAAAAAAA
so, here is the long explanation
exponential properties

don't forget pemdas
2x^2=2(x^2)
so

=

AAAAAAAAAAAAAAAAAAAAAAAA
so we see
the original equatio is

remember

so we can seperate the constants

we know that the placeholders cannot affet the position of the constants unless they are grouped together which they are not
terfor the answer must have 2/3 in it
the only one that hsa that is A
ANSWER IS A
Answer: option a.
Step-by-step explanation:
By definition, we know that:

Substitute
into the first equation, solve for the cosine and simplify. Then, you obtain:

As
then
:

Now we can find
:

C or D
widest spread is about a range whichever has lowest OR/AND highest number is correct
Answer:
1920 square inches
Step-by-step explanation:
For a rectangular prism, the lateral area can be found by ...
LA = Pl
where P is the perimeter, and l is the length.
For a square pyramid, the lateral area can be found by ...
LA = (1/2)Ph
where P is the perimeter of the base, and h is the slant height of the triangular faces.
For a figure with a square cross section of perimeter P "capped" by square pyramids on either end, the total surface area is the sum of the lateral areas of the three components:
SA = (Pl) + (1/2)Ph + (1/2)Ph
SA = P(l+h) = (4×15 in)(14 +18 in) = (60)(32) in²
SA = 1920 in²
The surface area of the solid seems to be 1920 square inches.
__
<em>Caveat</em>
If the figure is something other than what we have tried to describe, your mileage may vary. A diagram would be helpful.
Answer:
The box can hold 4 1/8 cubic feet of dirt
Step-by-step explanation:
What we simply have to find here is the volume of dirt it can take
To get this, we have to multiply the dimensions of the box
We have this as follows
Volume or box = length * width * height
Volume of box = 2 3/4 * 1/2 * 3
Volume of box = 11/4 * 3 * 1/2 = 33/8 = 4 1/8 cubic feet