Answer:
15.71 ft
Step-by-step explanation:
Given that:
width of the circular track = 2.5ft
Suppose the radius of the inner circle is 57 ft since it is not given
Then the radius of the outer circle = (2.5 + 57) ft = 59.5 ft
The circumference of a circle = 2πr
For inner circle now, the circumference = 2 × π × 57 ft
For inner circle now, the circumference = 358.14 ft
For the outer circle, the circumference = 2 × π × 59.5 ft
For the outer circle, the circumference = 373.85 ft
The difference between the circumference of the outer wheel from the inner wheel shows how farther does a wheel on the outer rail travel than a wheel on the inner rail of the track in one turn
∴
= ( 373.85 - 358.14 ) ft
= 15.71 ft
the first answer is D and the second is C
Step-by-step explanation:
The first question you just move to the next point the second a translation doesn't mirror it but it does move it so its C because it slides
Option A : a+o = 92 , 4a+2o = 284 is the right answer
Step-by-step explanation:
Let o be the number of oranges sold on Friday and
a be the number of apples sold on Friday
So,
A total of 92 was sold on Friday will yield the equation

On Saturday,
4 times the number of apples = 4a
2 times the number of oranges = 2o
So,

Hence,
The system of equations is:

Option A : a+o = 92 , 4a+2o = 284 is the right answer
Keywords: Linear equations, variables
Learn more about linear equations at:
#LearnwithBrainly
Answer:
2x^(10)y^(12)
Hope This Helps! Have A Nice Day!!
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
• 1 + cot² x = csc²x and csc x = 
• sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Consider the left side
sin²Θ( 1 + cot²Θ )
= sin²Θ × csc²Θ
= sin²Θ × 1 / sin²Θ = 1 = right side ⇔ verified
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Consider the left side
cos²Θ - sin²Θ
= cos²Θ - (1 - cos²Θ)
= cos²Θ - 1 + cos²Θ
= 2cos²Θ - 1 = right side ⇒ verified