If w = 12 units, x = 7 units, and y = 8 units, what is the surface area of the figure?

720

Step-by-step explanation:

Divide it up.

4xw = 84*4

Pyramid triangles = 60*4

Bottom = 144

720 units²

Step-by-step explanation:

Height of the slant triangle:

sqrt(6² + 8²)

sqrt(100)

10

Total surface area

= w² + 4(wx) + 4(½wy)

= 12² + 4(12×7) + 4(½×12×10)

= 144 + 336 + 240

= 720 units²

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:

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)