Area of polygon
=n(base * apothem)/2
=5*9*8/2
=180 mm^2
Volume of prism
=cross-sectional area * height
=180*28
=5050 mm^3
I believe it’s C. Let me know.
Answer:
The similar triangles are
and 
and 
Step-by-step explanation:
Given
See attachment for the required figure
Solving (a): The similar triangles
The similar triangles are
and 
Solving (b): Why they are similar
Both triangles are similar because
is dilated (i.e. enlarged) and then reflected to give
.
Solving (c): Calculate BE and PE
The following are equivalent ratios

and

Solving for BE, we have:

Substitute the known values

Express as fraction

Multiply both sides by 450


-- approximated
Solving for PE, we have:

Substitute known values

Express as fraction

Multiply both sides by 400



50,000
because if it was 55,000 it would be rounded up to 60,000, if it has 5 or more it's rounded up and if it has 4 or less it gets rounded down
Answer:
x=4200, y=2700
Step-by-step explanation:
let x be first account
y the second
x+y=6900
0.03x+0.08y=342
solve by addition/elimination)
multiply first equation by 0.03
0.03x+0.03y=207 subtract from second
0.03x+0.03y-0.03x-0.08y=207-342
0.05y=135
y=2700, x=4200