Algebra, Trig
Find the radian measure of the central angle of a circle of radius r = 4 inches that intercepts an arc length s = 20 inches.
The formula for an arc length is a = r?, where'd is the arc length, ? is the central angle in radians, and r is the radius. That said, s = 20, r = 4, and ? is unknown.
= 5 radians
The central angle is 5 radians.
In which quadrant will the angle 100 degrees lie in the standard position?
The angle of 100 degrees will lie in Quadrant II.
In which quadrant will the angle -305 degrees lie in the standard position?
The angle of -305 degrees will lie in Quadrant I.
Find the length of the arc on a circle of radius r = 5 yards intercepted by a central angle 0 = 70 degrees.
The formula for an arc length is a = r?, where'd is the arc length, ? is the central angle in radians, and r is the radius. That said, s = unknown, r = 5, and ? = 70 degrees.
degrees converted to radians 1.22 radians s = (5)(1.22) = 6.1 yards.
Answer: The length of the arc is 6.1 yards.
5. Convert the following angle to degrees: n or pie radians converted to degrees ? * 180/? 180 degrees
Answer: radians is equal to 180 degrees.
6. Classify the angle 101 degrees as acute, right, obtuse, or straight.
Answer: The angle of 101 degrees is obtuse.
7. Draw the following angle in standard the position: 7n or 7 pie
Convert to degrees first, which can be gained by the following:
7? * 180/? = 1260 degrees 1260 -- 360 = 900-900 -- 360 = 540
540 -- 360 = 180.
Answer: The angle would be a straight angle with a measure of 180 degrees.
8. Convert -60 degrees to radians. Express the answer as a multiple of pie.
-60 = 300 degrees
Conversion from degrees to ? is the following:
300 * ?/180 = 150?/90 = 5/3?
Answer: -60 degrees is 5/3? radians.
9. Find a co-terminal angle for the following angle: -268 degrees
To find a co-terminal angle, one adds or subtracts 360 degrees into the original angle.
Thus, -268 + 360 = 92 degrees
Answer: 92 degrees.
10. Find the value of (sin 38 degrees) (csc 38 degrees)
sin (38)csc (38) sin (38)*(1/sin (38)) = 1
Answer: 1.
11. Use an identity to find the value of: sin^2-50 degrees + cos^2-50 degrees
The identity is as follows: sin^2 + cos^2 = 1
sin^2(50) + cos^2(50) = 1
Answer: 1.
There are many other variables that would affect real-world riding speed, and the effort variable would also be far more complicated than represented here, but this should suffice for now. Several equations can be written using the variables defined here. For instance, to calculate the effort needed to go one kilometer (it's easier to go kilometers than miles, at least mathematically), or a thousand meters, in a given gear,
Algebra Like many other languages and sciences, Algebra can be useful in the explanation of real-world experiences. Linear algebra, in particular, holds a high level of relevancy in the solution of real world problems like physics equations. Since the key point of physics is to explain the world in proven observations, linear algebra is an ideal mode for discussion. Many real-world situations can be explained by algebra; for example, how does
By observing x on the graph, then we make the connection that the slope of x on the graph represents rate of change of the linear function. Once we have done this, it is then possible to move to the development of a quadratic equation and see what the impact of the increase (or perhaps decrease) means to the data. Have we proven that the rate of change is linear?
Algebra, Trig Algebra-Trig Find the slope of the line that goes through the following points: (-4, 6), (-8, 6) Slope: m = (y2 -- y1) / (x2 -- x1) = (6 -- 6) / (-8 -- (-4)) = 0 / (-4) = 0 m = 0. Determine whether the given function is even, odd or neither: f (x) = 5x^2 + x^ To test a function for even, odd, or neither property, plug in -- x
Algebra All exponential functions have as domain the set of real numbers because the domain is the set of numbers that can enter the function and enable to produce a number as output. In exponential functions whatever real number can be operated. (-infinity, infinity) You have ln (x+4) so everything is shifted by 4. The domain of ln (x+4) is now -4 < x < infinity (Shifting infinity by a finite number
Those studying physics and astronomy, and perhaps other scientific disciplines as well, are accustomed to the use of scientific shorthand and in some fields it is essential -- the example above of distance between energy waves from supernovae is a good example. There is a high level of variation in these distances, so a shorthand like the one on financial statements would be apply, but the numbers are very
Our semester plans gives you unlimited, unrestricted access to our entire library of resources —writing tools, guides, example essays, tutorials, class notes, and more.
Get Started Now