300=2×2×5×5×3
We observe that 2 and 5 are grouped in pairs and the 3 is left unpaired.
If we multiply 300 by the factor 3 then
300×3=2×2×5×5×3×3
900=2×2×5×5×3×3 which is a perfect square.
∴ Required number is 3
root of 900 =30
Answer:
138°
Step-by-step explanation:
∠YUV creates arc YV. Circle Z is made up of arc UV (84°) and arc YV. Solve for the measure of arc YV. (A circle equals 360°)
84° + x = 360°
arc YV = 276°
arc YV is formed from a secant and a tangent. Because of this ∠YUV is half of arc YV.
276° ÷ 2 = 138°
∠YUV = 138°
This solution to this problem is predicated on the fact that the circumference is just: 
. A straight line going through the center of the garden would actually be the diameter, which is well known to be two times the radius of the circle, so we can say that the circumference is just:
So, solving for both the radius and the diameter gives us:
So, the length of thes traight path that goes through the center of the guardain is just 
, and we can use the radius for the next part of the problem.
The area of a circle is 
, which means we can just plug in the radius and find our area:
So, we have found our area(
) and the problem is done.
Answer:
Step-by-step explanation:
5³ = 5 × 5 × 5 = 125
= 2 × 2 × 2 × 2 × 2 = 32
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