Answer:
surface area of the smaller figure ≈ 1474.64 m²
Step-by-step explanation:
The figures are similar base on the question . The surface area and the volume of the larger figure is given while only the figure of the smaller figure is given.
To find the surface area of the smaller figure we simply use the ratios. That is the scale factors.
Therefore, they are similar figure the scale factor can be represented as a:b.
The scale factor for volume is cubed.
volume of larger figure/volume of the small figure = a³/b³
4536/2625 = a³/b³
a/b = 16.5535451/13.7946209
Note that for two similar solid with scale factor a:b the surface area ratio is a²: b² (the scale factor is square)
16.55²/13.79² = 2124/x
273.9025/190.1641 = 2124/x
cross multiply
273.9025x = 403908.54840
x = 403908.54840/273.9025
x = 1474.6435261
x ≈ 1474.64 m²
7.
Since it is a right triangle we can use Pythagorean Theorem to solve.
A^2+B^2=C^2
We are given C and B. We are solving for A, so we can input what we know.
A^2+24^2=25^2
A^2+576=625
A^2=49
A=7
Therefore, the missing side is equal to 7.
Replace x with |4x|+5 and simplify
If a track team is running a relay race, shouldnt they be running the same distance? The fourth person who runs is going to be running alot more than everyone else.
10.99x = 3.99x + 280
7x = 280
x = 40
They must sell 40 T-shirts to break even
