A designer wants to create a whisper chamber in the shape of an ellipse. He has a warehouse space with a longest length of 50 ya
1 answer:
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Answer: 1.6 quarts
Step-by-step explanation:
Given : A radiator contains 8 quarts of fluid, 40% of which is antifreeze.
[40% can be written as 0.40.]
Then, the amount of antifreeze in radiator = (1)
If a radiator contains 8 quarts of fluid with 60% of which is antifreeze.
[60% can be written as 0.60.]
Then, the amount of antifreeze in radiator = (2)
Now subtract (1) from (2) we get,
The amount of fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze :-
Hence, the 1.6 quarts of fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze
9514 1404 393
Answer:
7.2
Step-by-step explanation:
The problem statement tells you to use the distance formula to find the distance between points A and B. In order to do that, you need to read their coordinates from the graph. You find A(-5, 5) and B(1, 1).
The distance formula is ...
Using the point coordinates, the formula tells us the distance is ...
d = √((1-(-5))² +(1-5)²) = √(6² +(-4)²)
d = √(36 +16) = √52 ≈ 7.2111
Rounding the distance to the nearest tenth, we have ...
length AB ≈ 7.2 units
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<em>About the Pythagorean theorem</em>
If you draw point C(-5, 1) on the graph, then you can see that triangle ABC is a right triangle. It has legs AC and BC. You can subtract coordinates or count grid squares to see that the lengths of those legs are AC = 4, BC = 6.
The Pythagorean theorem tells you the square of the hypotenuse (AB) is the sum of the squares of the sides (AC and BC).
AB² = 4² +6² = 16 +36 = 52
AB = √52 . . . . as above