Answer:
45% = 0.45
Step-by-step explanation:
45%
= 
= 0.45
Answer:
JML=142 degrees
Step-by-step explanation:
This shape is a rhombus, as all 4 sides are equal, but the angle measures are not. One of the properties of a rhombus is that opposite angles are congruent, and adjacent angles are supplementary. Only the second one is important. Since angles KLM and angle JML are supplementary, the equation KLM+JML=180 can be used. KLM is then substituted by the given angle measure, 38 degrees, to get an equation such as JML+38=180. Now, to solve for JML, 38 must be subtracted from both sides of the equation, which leaves teh answer of JML=142.
The circumference, C, of a given circle may be calculated through the equation,
C = 2πr
where r is the radius.
Substituting the known values from the given in this item,
C = 2(π)(5 in)
<em>C = 10π in</em>
Thus, the answer is this item is the second choice.
The angle between two vectors is:
CosФ = u - v / Magnitude(u) x magnitude(v)
Magnitude of u = SQRT(7^2 + -2^2) = SQRT(49 +4) = SQRT(53)
Magnitude of v = SQRT(-1^2 +2^2) = SQRT(1 +4) = SQRT(5)
u x v = (7 x -1) + (-2 x 2) = -7 + -4 = -11
cosФ = -11 / sqrt(53) x sqrt(5)
cosФ = -11sqrt265) / 265
Ф =cos^-1(-11sqrt265) / 265)
Ф=132.51 degrees.
If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate 
.
We have
Expand the numerator using the binomial theorem, then simplify and compute the limit.
In general, the derivative of a power function 
is 
. (This is the aptly-named "power rule" for differentiation.)
