Answer:
B) -125a^11
Step-by-step explanation:
(-5a^2)^3·a^5 = (-5)^3·a^6·a^5
= (-5)^3·a^(2·3)·a^5
= (-5)^3·a^6·a^5
= -125·a^(6+5)
= -125·a^11 . . . . matches choice B
_____
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
Answer:
the ratio of the surface area of Pyramid A to Pyramid B is:
Step-by-step explanation:
Given the information:
- Pyramid A : 648
- Pyramid B : 1,029
- Pyramid A and Pyramid B are similar
As we know that:
If two solids are similar, then the ratio of their volumes is equal to the cube
of the ratio of their corresponding linear measures.
<=> = = =
<=>
Howver, If two solids are similar, then the
n ratio of their surface areas is equal to the square of the ratio of their corresponding linear measures
<=>
=
So the ratio of the surface area of Pyramid A to Pyramid B is:
Answer:
-1/2
Step-by-step explanation:
lim x-> π/2 cos x /(2x-π) =
lim (x-π/2)->0 sin (π/2 - x) /2(x-π/2) =
lim (x-π/2)->0 - sin (x - π/2)/2(x-π/2) = -1/2
The coordinates of the center circle are (-1,2).