Answer:
Step-by-step explanation:
By definition, the Arc lenght can be calculated with the following formula:
Where "s" is the Arc lenght, "r" is the radius and is the central angle measured in radians.
From that equation you can solve for dividing both sides of the equation by the radius "r", then:
According to the information given in the exercise:
And you can identify in the figure that the radius of the circle is:
Therefore, you can substitute values into the equation:
Finally, evaluating, you get the following result:
Rounded to the nearest hundredth of a radian:
We can use the tangent ratio, where tan(x)=opposite/adjacent. In this question, FT is the 'opposite', TV is the 'adjacent' and 43° is 'x'.
Let's substitute the values into the equation, and rearrange to find the length of FT:
tan(43)=FT/53
× both sides by 53
53tan(43)=FT
Using a calculator, the answer to this equation gives us 49.42329957. Thus, the answer is D. 49.42
Answer:
√17 units
Step-by-step explanation:
(6, 8) & (7, 4)
To find the distance between two points, we use the distance formula:
Plug in the values you know.
Evaluate the parentheses.
Evaluate the exponents.
Add.
Evaluate the square root.
This square root is already fully simplified.
Your answer is √17 units.
Hope this helps!
Answer:
ig if it is brainiest
Step-by-step explanation:
y=1.75
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Formula
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a² + b² = c²
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Find the missing leg.
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15² + b² = 18²
b² = 18² - 15²
b² = 99
b = √99
b = 9.95 cm
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Answer: 9.95 cm
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