What is the value of x?
2 answers:
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Answer:
If all the dimensions of the rectangular pyramid are multiplied by 1/5, the volume will be 125 times smaller.
Step-by-step explanation:
A rectangular pyramid has the following dimensions:
length(l), height(h) and width(w)
The volume is:
If all the dimensions of the rectangular pyramid are multiplied by 1/5
Then we have that:
The modified volume will be:
So
If all the dimensions of the rectangular pyramid are multiplied by 1/5, the volume will be 1/125 of the original, that is, 125 times smaller.
Answer:
sin^2(θ)+cos^2(θ)=1
Step-by-step explanation:
We know that the statement above is true because of the Pythagorean identity theorem, which states the aforementioned equation. If you solve the equation for 1 you get the same equation.
To do this first multiply both sides by cos(θ), this gives you (cos^2θ)/1+sinθ = 1-sinθ
Then, multiply both sides by sinθ. This equals cos^θ=1-sin^2θ.
Finally, add sin^2θ to both sides. This equals the final answer of cos^2θ+sin^2θ=1. Which is true.
