Answer:
<h2>Volume = 1659.84</h2><h2>Surface area = 1205.36</h2>
Step-by-step explanation:
Volume for triangular prism = 1/2 * b * l * h
we are given the length and the height but not the base.
since it is a right triangle we can use the Pythagorean theorem a^2 + b^2 = c^2
13.3^2 + b^2 = 20.5^2
176.89 + b^2 = 420.25
b^2 = 243.36
b = = 15.6
1/2 (15.6)(13.3)(16) = 1659.84
Front: 15.6 x 13.3 = 207.48
Back: 15.6 x 13.3 = 207.48
Left: 15.6 x 16 = 249.6
Right: 13.3 x 16 = 212.8
Bottom: 20.5 x 16 = 328
207.48 + 207.48 + 249.6 + 212.8 + 328 = 1205.36
We translate the data of Mary as (15,90) and (8, 62). In this case, the slope is (90-62) / (15-8) or equal to 4. The equation is y-y1 = m (x-x1) where m is the slope. Substituting, y - 90 = 4 (x-15) or equal to y = 4x + 30. <span> Lisa receives half the base amount that Mary does, but she is paid twice as much per student so the equation that of Lisa is y = 8x + 15.
when x is 20
</span><span>Mary : y = 4*20 + 30 =110
</span>Lisa : y =<span> 8*20 + 15 = 175.
Hence Lisa earns more.</span>
The zeros of function are x-s, for which f(x) = 0: