Answer:
10,404/334,084
Step-by-step explanation:
Given the polynomial
289r^2 - 102r + c
We are to find the value of c that will make it a perfect square
Divide through by 289
289r²/289 - 102r/289 + c/289
Half of the coefficient of r is 1/2(102/289)
Half of the coefficient of r = 102/578
Square the result
r² = (102/578)²
r² = 10,404/334,084
Hence the required constant is 10,404/334,084
Answer:
2500 pence (C = 2500)
Step-by-step explanation:

From the given information, t is the number of texts so essentially you will plug in the number of texts provided (150) in the place of the variable t.

Apply the same thing to minutes, plug in the number of minutes (50) in the place of the variable m.

Now multiply the substitutes with the co-efficient.
(10*150=1500 & 20*50=1000)
Add the addends
C = 2500
Answer:
true
Step-by-step explanation:
sinA² + cosA²=1
⇔(1/2)² + cosA²=1
⇔cosA=±(√3/2)
Answer:
Step-by-step explanation:
angle 2 and angle 3 are linear pair
angle 1 and angle 7 are alternate exterior angle
angle 4 + angle 7=a80 degree
124 + angle 7=180
angle 7=180-124
angle 7=56 degree
angle 1 is supplementary to angle 2 ,angle 4, angle 6, angle 8 .In supplementary angle sum of two angle is always 180 degree.
angle 4 and angle 5 are supplementary angles because their sum is equal to 180 degree.
angle 4 + angle 5(being co interior angle)
3x+17+x+23=180
4x+40=180
4x=19=180-40
x=140/4
x=35