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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.
You would move five down and eight to the right, it depends how how the grid is
The cost of 3 and 1/2 pounds of almond at the same rate is $26.60.
<h3>What is a fraction?</h3>
A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In the illustration given as m/n, it should be noted that m is the numerator and n is the denominator.
Since the price for 7/8 of a pound of almonds is $6.65, the fraction per pound will be done by dividing the amount for a pound by 7/8.
= $6.65 ÷ 7/8
= $7.6
The cost of 3 and 1/2 pounds at the same rate is:
= 3 1/2 × $7.6
= $26.60
In conclusion, the cost is $26.60.
Learn more about fractions on:
brainly.com/question/78672
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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.