Answer:
Step-by-step explanation:
<u>Trigonometric Ratios
</u>
The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios: sine, cosine, tangent, cosecant, secant, and cotangent.
The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.
Choosing any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
The image shows a right triangle where the angle of 45° has x as the opposite leg, 6 as the adjacent leg, and y as the hypotenuse. The trigonometric ratio that applies here is the cosine ratio, defined as:
Solving for y:
Substituting:
Now use the tangent ratio:
Solving for x:
Substituting:
Answer:
Answer:
5,035,041
Step-by-step explanation:
Exponential growth:
y = future amount
a = initial amount
r = growth rate
x = number of periods
Part A: growth at the rate of doubling each 15 minutes for 274 minutes
Each period is 15 minutes.
a = 37
x = 274/15 = number of periods
r = 100%
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Exponential decay:
The growth takes place from 9 AM for 274 minutes, or 4 hours and 34 minutes, until 1:34 PM. The decay goes from 1:34 PM to 7 PM, or 5 hours and 26 minutes, or 326 minutes
Part B: decay at the rate of 6% each 24 minutes for 326 minutes
Answer: 5,035,041
Answer:
Step-by-step explanation:
Are the sides consistent with the Pythagorean theorem?
37² + 54² ≟ 62²
1369 + 2916 = 4285 ≠ 62²
Not a right triangle.
Answer:
y = 5x
Step-by-step explanation:
Form the equation:
y = 5 times x or y = 5x
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