Answer:
Solution : ( - 8, - 5π/3 )
Step-by-step explanation:
There are four cases to consider here, the first two with respect to r > 0, the second two with respect to r < 0. For r < 0 we have the coordinates ( - 8, 60° ) and ( - 8, - 300° )
. - 300° in radians is - 5π/3, and hence our solution is option d. But let me expand on how to receive the coordinates. Again r is the directed distance from the pole, and theta is the directed angle from the positive x - axis.
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So when r is either negative or positive, we can tell that this point is 8 units from the pole. Therefore - r = - 8 in both our second cases ( we are skipping the first two cases for simplicity ). For r < 0 the point will lay on the ray pointing in the opposite direction of the terminal side of theta.
Our first coordinate is ( - 8, 60° ). Theta will be 2 / 3rd of 90 degrees, or 60 degrees, for - r. Respectively the remaining degrees will be negative, 360 - 60 = 300, - 300. Our second point for - r will thus be ( - 8, - 300° )
. - 300° = - 5π/3 radians, and our coordinate will be ( - 8, - 5π/3 ).
Answer:
166 packs
Step-by-step explanation:
Data obtained from the question include:
Total pack of paper needed by Bret 450 packs
Bret currently has = 284 packs
The remaining packs of paper needed by Bret = 450 — 284 = 166 packs
Answer:
Hey mate here is your answer...
Step-by-step explanation:
smaller circular table to be made
with a diameter only half as big... and diameter of big table is (2*55)= 110cm.... So half diameter of big is (110/2)= 55cm
therefore, diameter of smaller table is 55cm and radius of it's (55/2)= 27.5cm
circumference of circle = 2πr
= 2*3.14*27.5
= 172.7 cm = 27.5cm
hope it helps you ❣️
Answer:
Equation is P=4s
Step-by-step explanation:
There is a pattern here:
8 is 4 times as much as 2
12 is 4 times as much as 3
20 is 4 times as much as 5
40 is 4 times as much as 10
Since P varies directly with s, we can make an equation: P=4s where k=4 in the form of y=kx
