Using the image above, what is the measure of Side AC? Round to the nearest hundredth
1 answer:
To solve this problem, we just have to use trigonometric ratios and apply which of the ratios is needed here and proceed to solve. The value of side AC is 2.85 units
<h3>Trigonometric Ratio</h3>In the given diagram, we have the value of angle and hypothenuse and we are required to find the adjacent side of the triangle.
Data;
- Angle = 32.9 degrees
- Hypothenuse = 3.4
Let's use cosine rule for this.
Proceed to substitute the values into the equation and solve.
From the calculations above, the value of side AC is 2.85 units
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Answer:
The population will be 896 turtles 6 years later ⇒ B
Step-by-step explanation:
The exponential increasing formula is y = a, where
- y is the new value
- a is the initial value
- r is the rate of increase in decimal
- x is the time in years
∵ There are 300 turtles
∴ a = 300
∵ The population of the turtles exponentially increases 20% each year
∴ r = 20%
→ Divide it by 100 to change it to decimal
∵ 20% = 20 ÷ 100 = 0.2
∴ r = 0.2
∵ The time is 6 years
∴ x = 6
→ Substitute these values in the exponential formula above
∵ y = 300
∴ y = 300
∴ y = 895.7952
→ Round it to the nearest whole number
∴ y = 896
∴ The population will be 896 turtles 6 years later