In trigonometry, the right triangle is considered a special triangle because there are derived equations solely for this type. It is really convenient when dealing right triangle problems because it is more simplified courtesy of the Pythagorean theorems. It is derived that the square of the hypotenuse (longest side of the triangle) is equal to the sum of the squares of the other two legs. In equation, that would be c² = a² + b². For this activity, all you have to do is find the sum of the squares in columns a and b. Then, see if this is equal to the square of the values in column c. Let's calculate each row:
Row 1:
3² + 4² ? 5²
25 ? 25
25 = 25
Row 2:
5² + 12² ? 13²
169 ? 169
169 = 169
Row 3:
9² + 12² ? 15²
225 ? 225
225 = 225
Therefore, all of the given values conform to a² + b² = c².
The amount of heat lost by the water is 1870 calories
Step-by-step explanation:
The amount of heat released by a substance is given by the equation
where
Q is the amount of heat lost
m is the mass of the substance
C is the specific heat capacity of the substance
is its change in temperature
In this problem, we have:
m = 85 g is the mass of water
is the specific heat capacity of water
is the change in temperature of the water
Substituting, we find
Learn more about heat:
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Answer:
No, bacause each X (first value), need to have just once Y value (second one). Here you have two values for 3 (4 and 4)
$25,000 - 5,000 = $20,000
Since the useful life is 10 years or 10% per year, double-declining rate would be 20%
Year 1
$20,000 x .2 = $4000
Book Value = $16,000
Year 2
$16,000 x .2 = $3,200
Book Value = ($16,000-3,200) =$12,800
Opposite angles are equal in parallelogram
- 7x-4=5x+12
- 7x-5x=12+4
- 2x=16
- x=8
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