Answer:
d. none of these
Step-by-step explanation:
Area of square= side ×side
Let x meters be the length of a side of the square.
Perimeter= 4(side)
4x= 40
<em>Dividing by 4 throughout:</em>
x= 40 ÷4
x= 10
Area of garden
= x²
= 10²
= 100m²
Here is the description of the tree diagram that would represent all the possible outcomes when the spinner is spun twine.
Put down all possible outcomes separately:
A
B
C
Next to each letter, place all three letters with a dash. A would be A-A, A-B, A-C, but don't rewrite the A.
Do this for the B and the C.
This would give you 9 possible outcomes.
Let's call the width
. Since the length is three more than the width, it is
.
The area (which we know to be 70) is given by the multiplication of width and length:

To solve this equation, you can use the usual quadratic formula: given an equation
, the two solutions are

which in your case becomes

So, two solutions are

Since we can't accept a negative length, we only accept the second solution.
So, the dimensions are 7 and 10
Use similar volume to calculate
which is the (ratio of edges)^3 = (ration of volume)
so just put the numbers in, let the volume of smaller pyramid be y.
(3/4)^3 = y/320
27/64 = y/320
y=135in3
Answer: Start with the second expression. That factors easily into (8x-3)(8x+3).
Since 64x^2 + 48x + 9 has no negative signs, I'd bet that the common factor is (8x+3). Divide 64x^2 + 48x + 9 by that to verify.
hope this helps <3