Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula, a 2 − b 2 = ( a + b ) ( a − b ) where a = 7 and b = a + x . − ( 7 + a + x ) ( a + x − 7 )
Given that the length of the arc of the circle is, 9.5 ft, thus, the radius of the circle would be: 4.5 ft.
<h3>What is the Length of an Arc?</h3>
Length of arc of a circle = ∅/360 × 2πr
Radius = r.
Given:
∅ = 120°
Length of arc = 9.5 ft
Radius (r) = ?
Thus:
9.5 = 120/360 × 2× 3.14 × r
9.5 = 2.09r
r = 9.5/2.09
r = 4.5 ft
Learn more about length of arc on:
brainly.com/question/2005046
1.5/36 = 0.5/12 or if u simplify it more... 1/24
Answer:
Number of blue balls are 25m .
Step-by-step explanation:
Number of orange circles 25 .
Let , the ratio of blue circles to orange circles is m : 1 , here m is any fractional number .
Now , ratio is given by :
![Ratio=\dfrac{\text{Number of blue circles}}{\text{Number of orange circles}}=\dfrac{n_b}{n_o}](https://tex.z-dn.net/?f=Ratio%3D%5Cdfrac%7B%5Ctext%7BNumber%20of%20blue%20circles%7D%7D%7B%5Ctext%7BNumber%20of%20orange%20circles%7D%7D%3D%5Cdfrac%7Bn_b%7D%7Bn_o%7D)
Now , it is given that ratio remains the same , So :
![\dfrac{n_b}{n_o}=m\\\\\dfrac{n_b}{25}=m\\\\n_b=25m](https://tex.z-dn.net/?f=%5Cdfrac%7Bn_b%7D%7Bn_o%7D%3Dm%5C%5C%5C%5C%5Cdfrac%7Bn_b%7D%7B25%7D%3Dm%5C%5C%5C%5Cn_b%3D25m)
Hence, this is the required solution .
I have the same question on a test I'm taking thanks