Answer:

Step-by-step explanation:
→Take out the GCF (Greatest Common Factor). The GCF is
because both
and
can be divided by it, like so:


Answer:
120
Step-by-step explanation:
12 months in a yr, 10 times 12 is 120.
The question is incomplete, here is the complete question:
Given a radius of 9 inches intercepted by the central angle 60°. Estimate the length of arc 'S' to the nearest hundredth.
<u>Answer:</u> The arc length of the circle is 9.42 inches
<u>Step-by-step explanation:</u>
To calculate the length of the arc, we use the formula:

where,
S = arc length = ?
r = radius of the circle = 9 inches
= central angle = 60°
Putting values in above equation, we get:

Hence, the arc length of the circle is 9.42 inches
Answer:
6 ft and 8 ft
Step-by-step explanation:
let x be the length of one leg then (x + 2) is the other leg.
Using Pythagoras' identity in the right triangle, that is
x² + (x + 2)² = 10² ← expand left side and simplify
x² + x² + 4x + 4 = 100 ( subtract 100 from both sides )
2x² + 4x - 96 = 0 ( divide all terms by 2 )
x² + 2x - 48 = 0 ← in standard form
(x + 8)(x - 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 6 = 0 ⇒ x = 6
But x > 0 ⇒ x = 6
Thus the 2 sides are 6 ft and x + 2 = 6 + 2 = 8 ft
6x^3 a negative times a negative cancels out making it positive