I think what the question asks is T.A = K
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
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The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
Ratio of the length of the tile to the length of the board is 1:2
Ratio of the area of the tile to the area of the board is 1:4
Step-by-step explanation:
- Step 1: Find ratio of length of the tile to the length of the board
Length of the tile = 1/4 ft
Length of the board = 1/6 yd = 1/6 × 3 = 1/2 ft (∵ 1 yd = 3ft)
∴ Ratio of length of the tile to length of the board = 1/4 : 1/2 = 1/4 × 2/1 = 1:2
- Step 2: Find the ratio of area of the tile to area of the board
Area of the tile = Length × Width = 1/4 ft × 1/4 ft = 1/16 ft²
Area of the board = Length × Width = 1/6 yd × 1/6 yd
= 1/2 ft × 1/2 ft (∵ 1 yd = 3 ft)
= 1/4 ft²
⇒ Ratio of the area of the tile to the area of the board = 1/16 : 1/4
= 1/16 × 4/1 = 1:4
Answer:
Volume of rectangular prism = 1 1/3 x 5/6 x 2/3 = 4/3 x 5/6 x 2/3 = 20/27
Volume of cube = 1/6 x 1/6 x 1/6 = 1/216
Number of cubes that will pack the rectangular prism = 20/27 / 1/216 = 160
eddibear3a and 47 more users found this answer helpful
Step-by-step explanation:
This is one of those cases where you have to believe that a minus times a minus is a plus.
114 - - 39 = 153 degrees. The freezing of mercury is 153 degrees cooler than the freezing point of alcohol. I would check your descriptions. Did you mean boiling point of Alcohol?