In a triangle ABC, angle BAC = 53° and angle ACB = 28°. If AB is produced to D, find angle CBD.
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Use the Pythagorean Theorem to solve for the hypotenuse:
a² + b² = c²
Plug in the given values:
12² + 4² = c²
144 + 16 = c²
160 = c²
Take the square root of both sides:
c = √160
c ≈ 12.65.
Answer:
<h2>30.67 pounds of 32% copper alloy and 10.33 pounds of 65% copper alloy</h2>Step-by-step explanation:
First alloy contains 32% copper and the second alloy contains 65% alloy.
We wish to make 44 pounds of a third alloy containing 42% copper.
Let the weight of first alloy used be in pounds and the weight of second alloy used be
in pounds.
Total weight =
Total weight of copper =
Subtracting 32 times first equation from second equation,
∴ 30.67 pounds of first alloy and 13.33 pounds of second alloy were used.