10 ptsif the area of the frame was 64 inches², what would be 2 possible sets of dimensions that could be used to make a frame with that area? set 1: set 2: show your work/explain your thinking:

Possible dimensions are 16 × 4 inches and 32 × 2 inches.

Step-by-step explanation:

We are given that,

Area of the frame = 64 inch² = Length × Width

Now, we have that 64 can be factored as,

64 = 32 × 2

64 = 16 × 4

64 = 8 × 8

Since, the frame is in a rectangular shape. So, we reject the possibility of 8 × 8 inches frame.

Thus, the possible dimensions are,

Set 1: 16 × 4 inches

Set 2: 32 × 2 inches.

the answer is 62.8 cubic units

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: