What is the solution to this system of linear equations?
2 answers:
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Answer:
<h2>The diagonal of the volumetric figure is 7 units long.</h2>Step-by-step explanation:
The figure is attached.
Notice that the dimensions of the prism are
First, we need to find the diagonal of the rectangular face on the base, this diagonal of the base is part of the right triangle formed by the diagonal of the volume, that's why we need it.
Let's use the Pythagorean's Theorem
This diagonal of the base is a leg in the right triangle formed by the diagonal of the volume.
Let's use again Pythagorean's Theorem
Therefore, the diagonal of the volumetric figure is 7 units long.
Answer:
17.89 ft
Step-by-step explanation:
This is a right triangle so we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
8^2 +16^2 = c^2
64+ 256 = c^2
320 =c^2
Taking the square root of each side
sqrt(320) = sqrt(c^2)
sqrt(64*5) = c
sqrt(64) sqrt(5) =c
8 sqrt(5) = c
17.88854382=c
17.89 ft
