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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
The bird flew 5.45m far from the tree.
Step-by-step explanation:
Given,
Sin70° = 0.94
Cos70° = 0.34
Angle of flight = 70°
Refer the diagram attached for better understanding.
Cos70° = (adjacent side) / (hypotenuse)
0.34 = 2/ hyp
hyp = 2/(0.34)
hyp = 5.8 m
We have to find the opposite side of the angle of flight for the distance the bird flew.
Sin70° = (opposite side) /(hypotenuse)
0.94 = (opposite side) / 5.8
Opposite side= 0.94 x 5.8
= 5.45m
The bird flew 5.45m away from the tree to another tree.
