Hello!
x = 2530/ (sin 15)
x = 9775.17 feet
There are 5280 feet in a mile
9775.17 / 5280 = 1.9 mi
The answer is C) 1.9mi
Hope this helps!
Step-by-step explanation:
When the base is even it is positive when the base is odd it is negative
Hello!
Let's solve !
⇒ (x - 3)² = 5
⇒ x² - 6x + 9 = 5
⇒ x² - 6x + 4 = 0
⇒ x = -(-6) ± √36 - 4(1)(4) / 2
⇒ x = 6 ± √20 / 2 = 6 ± 2√5 / 2
⇒ x = 3 ± √5
∴ The solutions are x = 3 + √5 and x = 3 - √5.
When you reflect a function in the <em>x</em>-axis, the first coordinate of a point stays the same, and the second coordinate changes sign (what was positive is now negative and vice versa). See the attached picture.
Question 11: f(x) = -5x + 2. The function changes to its opposite, so g(x) = -(-5x + 2) = 5x - 2.
When you reflect a function in the <em>y</em>-axis, the first coordinate of a point changes to its opposite, but the second coordinate stays the same. Replace <em>x</em> with -<em>x</em> .
Question 14: f(x) = |2x - 1| + 3. Replacing <em>x</em> with -<em>x</em> produces g(x) = |2(-x) - 1| + 3 which simplifies to g(x) = |-2x -1| + 3.
Question 15 works the same way as #14.
<span>Using radian meansure
theta = (arc length)/radius
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arc length = radius*theta
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Your Problem:
120 degrees = 120(pi/180) = (2/3)pi radians
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circumference = 2pi*r
24 = 2pi*r
r = 12/pi
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arc length = (12/pi)(2/3)pi = 8 units
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