Answer:
No
Step-by-step explanation:
The volume of a cube is the cube of the edge length, so the edge length of the cube-shaped block is ...
edge length = ∛(64 cm³) = 4 cm
Then the smallest cross-section will be a square of edge length 4 cm, so will have an area of (4 cm)² = 16 cm².
The 16 cm² shape will not fit through an 8 cm² hole.
Answer:
p= -1
Step-by-step explanation:
gradient=<u>y</u><u>²</u><u>-</u><u>y</u><u>¹</u>
<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>x²-x¹
-1 =<u>p</u><u>-</u><u>2</u>
<u> </u><u> </u><u> </u><u> </u><u> </u>9-6
-1=<u>p</u><u>-</u><u>2</u>
<u> </u><u> </u><u> </u><u> </u><u> </u> 3
multiply both sides by 3 to remove the denominators
-1×3=p-2
-3=p-2
put the like terms together
-3+2=p
-1=p
Answer:
MAYA (6 minutes)
Amy (7 minutes)
Step-by-step explanation:
MAYA
Takes Maya 30 minutes to solve 5 Puzzle:
Let's express it as,
30 mins = 5 Puzzle
1 min = x Puzzle
Cross multiply to solve for the number of questions Maya solves in a minute.
It becomes:
30*x = 5*1
30x = 5
x = 30/5
x = 6mins.
It means it takes Maya 6 mins to solve one question.
FOR AMY
Takes Amy 28 mins to solve 4 puzzles.
Let's represent it as:
28 mins = 4 Puzzles
x min = 1 puzzle
Let's solve for x
(28 mins) * (1 puzzle) = 4 * x
28 = 4x
x = 28/4
x = 7 mins
It means, it takes Amy 7 minutes to solve 1 puzzle
We will represent the length of the rectangle as 
and the width as 
.
From this problem, we can say 
. We can also deduct an equation from the second sentence:
(from substitution)
Using this value for , we can find :
The length of the rectangle is 23 cm and the width of the rectangle is 18 cm.
I say subcategory would be a good answer
