Find the volume of the prism

Mathematics

1 answer:

Nimfa-mama [501]2 years ago

8 0

Answer:

V =648 mm^3

Step-by-step explanation:

The volume of a prism is given by

V = l*w*h

V = 6*9* 12

V =648 mm^3

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What is the value of s?<br><br> ? units

Anton [14]

Pythagoras theorem:
hypotenuse²=leg₁²+leg₂²

Data:
leg₁=8
leg₂=15
hypotenuse=s

hypotenuse²=(8)²+(15)²
hypotenuse²=64+225
hypotenuse²=289
hypotenuse=√289
hypotenuse=17

Answer: s=17

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What is the zero in the quadratic function f(x)= 9x^2-54x-19?

Alex17521 [72]

Answer:

6.33... and 0.333...

Step-by-step explanation:

The quadratic formula is

$x=\frac{-b+\sqrt{b^2-4ac} }{2a}$ .

It is important because while some quadratics are factorable and can be solved not all are. The formula will solve all quadratic equations and can also give both real and imaginary solutions. Using the formula will require less work than finding the factors if factorable. We will substitute a=9, b=-54 and c=-19.

$x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}\\x=\frac{-(-54)+/-\sqrt{(-54)^2-4(9)(-19)} }{2(9)}\\x=\frac{54+/-\sqrt{2916+684} }{18}$