Answer:
15.625 cm^3
Step-by-step explanation:
Kelly's movie collection contains 16 movies, including 8 romance movies.
1 answer:
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Answer:
Step-by-step explanation:
The opposite angles in a quadrilateral theorem states that when a quadrilateral is inscribed in a circle, the angles that are opposite each other are supplementary, their degree measures add up to 180 degrees. One can apply this here by using the sum of (<C) and (<A) to find the measure of the parameter (z). Then one can substitute in the value of (z) to find the measure of (<B). Finally, one can use the opposite angles in a quadrilateral theorem to find the measure of angle (<D) by using the sum of (<B) and (D).
Use the opposite angles in an inscribed quadrialteral theorem,
<A + <C = 180
Substitute,
14x - 7 + 8z = 180
Simplify,
22z - 7 = 180
Inverse operations,
22z = 187
z =
Simplify,
z =
Now substitute the value of (z) into the expression given for the measure of angle (<B)
<B = 10z
<B = 10()
Simplify,
<B = 85
Use the opposite angles in an inscribed quadrilateral theorem to find the measure of (<D)
<B + <D = 180
Substitute,
85 + <D = 180
Inverse operations,
<D = 95
Answer:
1) gradient of f = (1/y)i+(-x/y^2)j
2) rate of change of f at P in direction of v = i - 1/16 j
3) maximum rate of change at P= (√17)/16
4) unit vector of maximum rate of change = 4/√17 i + 1/√17 j
Step-by-step explanation:
The explanation can be found in the attached picture
Note:
Since the gradient vector represents the direction of maximum change:
3) The maximum rate of change is the modulus of the gradient vector
4) The unit direction vector of maximum rate of change is the unit gradient vector.
