Answer:
r = -12cos(θ)
Step-by-step explanation:
The usual translation can be used:
Putting these relationships into the formula, we have ...
(r·cos(θ) +6)² +(r·sin(θ))² = 36
r²·cos(θ)² +12r·cos(θ) +36 +r²·sin(θ)² = 36
r² +12r·cos(θ) = 0 . . . . subtract 36, use the trig identity cos²+sin²=1
r(r +12cos(θ)) = 0
This has two solutions for r:
r = 0 . . . . . . . . a point at the origin
r = -12cos(θ) . . . the circle of interest
Answer:
10/15 8/12 14/21
Step-by-step explanation:
We already know that Emma is 12, and if Luke is twice her age, then that means we need to multiply 12 by 2, which equals 24. If Kendra is one half of Luke's age, which is 24, then we must divide 24 by 2, which equals 12.
In conclusion, Kendra is 12 years old.
Well cutting off the small 4x2 you get 8 plus’s the 7x2 is 14 so just add those together you should get 22in ^2
Answer:
He performed better in the 800 m race
Step-by-step explanation:
Obtain the standardized score for each event :
Zscore = (score - mean) / standard deviation
1000 meter :
Mean = 4.5 ; Standard deviation = 0.75 ; x = 4.1
Zscore = (4.1 - 4.5) / 0.75
Zscore = - 0.4 / 0.75 = - 0.5333
800 meter :
Mean = 3.2 ; Standard deviation = 0.4 ; x = 3
Zscore = (3 - 3.2) / 0.4
Zscore = - 0.2 / 0.4 = - 0.5
-0.5 > - 0.533
Hence, he performed better in the 800 m race
