What is a way to wright 100,000 using exponents
1 answer:
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Answer:
a) The length of its edge is 8 units.
b) The volume of the sphere is approximately 268.083 cubic units.
c) The fraction of the cube that is taken up by the sphere is 0.524, whose equivalent in percentage form is 52.4 %.
Step-by-step explanation:
a) The volume of a cube (), measured in cubic units, is defined by the following expression:
(1)
Where is the side length of the cube, measured in units.
If we know that , then the length of its edge is:
The length of its edge is 8 units.
b) The volume of a sphere (), measured in cubic units, that fits snugly inside this cube is defined by:
(2)
If we know that , then the volume of the sphere is:
The volume of the sphere is approximately 268.083 cubic units.
c) The fraction of the cube taken by the sphere is the ratio of the volume of the sphere to the volume of the cube. That is to say:
If we know that and
, then the fraction of the cube that is taken up by the sphere is:
The result in percentage form is calculated by multiplying the result above by 100.
The fraction of the cube that is taken up by the sphere is 0.524, whose equivalent in percentage form is 52.4 %.
Answer
Find out the how many kilograms of blend A will don need to use to make 10 kg of his signature blend .
To proof
As given
Dons signature coffee blend is 60% dark roast and 40% light roast.
He has 10 kg
60 % is written in the decimal form
= 0.6
40 % is written in the decimal form
= 0.4
Now 60% dark roast of 10 kg = 0.6 ×10
= 6 kg
Now 40% of 10 kg = 0.4 × 10
= 4 kg
As given
He has 10 kg of blend A, which is 80% dark roast and 20% light roast i.e 80% of the 6kg is dark roast and 20% of the 4kg is light roast .
80% is written in the decimal form
= 0.8
80% of the 6kg is dark roast = 0.8 × 6
= 4.8 kg
20% is written in the decimal form
= 0.2
20% of the 4kg is light roast = 0.2 × 4
= .8kg
Total kilograms of blend A will don need to use to make 10 kg of his signature blend = 4.8 kg + .8 kg
= 5.6 kg
Hence proved