<span>This question obviously requires fewer than forty words to answer fully, but to fulfil the criteria above I will explain it a bit further. The total volume is the side length to the third power of the first cube, plus the side length to the third power of the second cube: 4p^3+(2q^2)^3</span>
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
Answer:
f(x) = -5x +48
Step-by-step explanation:
A fairly easy way to write the equation of the perpendicular line is to swap the x- and y-coefficients, negating one of them. Then choose the constant in the equation to make it true at the given point.
<h3>Swapped coefficients</h3>
In this instance, we find it convenient to leave the coefficient of y as positive.
5y = x -10 . . . . . . original equation
y = -5x +c . . . . . . with coefficients swapped, x-coefficient negated
<h3>New constant</h3>
At the given point, the equation becomes ...
8 = -5(8) +c
48 = c . . . . . . . add 40
<h3>Equation of the perpendicular line</h3>
The equation of the line is then ...
y = -5x +48
f(x) = -5x +48 . . . . . . in functional notation
Answer:
Y=3x
Step-by-step explanation:
Direct proportion