Answer:
The length of a 180° arc of a unit circle is π ≈ 3.14 units.
Step-by-step explanation:
Use your knowledge of the circumference of a circle (the length full around) and the fact that there are 360° in the central angle of a full circle. The distance around is proportional to the angle, so an arc of measure 180° will have a length equal to
... (180°/360°) × circumference = (1/2)×circumference
For a unit circle, the circumference is 2π (= π×diameter = 2π×radius). Half that length is π units.
Answer:
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Step-by-step explanation:
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The length of the ladder is 75ft.
<h3>What is hypotenuse?</h3>
The longest side, or hypotenuse, of a right-angled triangle is the side that faces away from the right angle. The Pythagorean theorem asserts that the hypotenuse's square length equals the sum of the squares of the lengths of the other two sides, and this can be used to determine the hypotenuse's length.
<h3>According to the information:</h3>
The ladder makes an angle of 28° with the ground and the top of the ladder reaches 35ft
Therefore, we have:
Sineα = opposite/hypotenuse
Where:
Opposite = 35
Hypotenuse = Length
α = 28°
substitute values and solve for the length, as following:
Sine(28) = 35/Length
Length = 35/Sine(28)
Length = 75ft
Therefore,
The length of the ladder is 75 ft.
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Answer:
Not a factor
Step-by-step explanation:
We can use Factor Theorem to answer this question. According to this theorem, in order to find if (x - a) is a factor of a polynomial f(x), calculate f(a). If f(a) comes out to be equal to zero, this will mean that (x-a) is factor of f(x).
Here, the expression we have is (x + 7), so we need to find f(-7) in order to check if (x+7) is a factor of f(x) or not
Substituting x = -7, we get:
Since f(-7) ≠ 0, (x + 7) is not a factor of the polynomial f(x)
