Answer:
9.9 inches
Step-by-step explanation:
if the area of the square is 49 we have and know that the base and height are equal we can express it as follows
X is one side of the square.
X * X = 49
X^2 = 49
X = √49
X = 7
by Pythagoras we can calculate the diagonal of the triangle formed by 2 sides of the square with the following expression
Y is the diagonal
7^2 + 7^2 = Y^2
49 + 49 = Y^2
√98 = Y
Y = 9.9
Since we are dealing with volume, when one object is 4 times bigger than another, the difference in volume is 4^3 = 64.
6 cm sphere = 4/3 *PI * 6^3
6 cm sphere = 4/3 *PI * 216
6 cm sphere =
<span>
<span>
<span>
904.78 cc
24 cm sphere = </span></span></span>4/3 *PI * 24^3
24 cm sphere = 4/3 *PI * 13,824
24 cm sphere =
<span>
<span>
<span>
57,905.84
</span>
</span>
</span>
cc
Comparing the volumes: <span>57,905.84 / 904.78 = </span><span><span><span>64
</span>
</span>
</span>
<span>
</span>
I would say "None of these" but I'm probably wrong.
Solve for k
by simplifying both sides of the equation, then isolating the variable.
Exact Form:
k= −45/28
Decimal Form:
k=−1.60714285…
Mixed Number Form:
k= −1 17/28
so its the top one :)
