Formula for finding circumference of a circle is 2πr.
Step-by-step explanation:
- The given question says what is the circumference of a circle that is 9cm.
- As radius is required for finding circumference of a circle, the formula is 2πr.
- Therefore taking the formula and substituting radius (r)= 9 cm. We get 2πr as 2×π×9 = 18π cm OR
- If we substitute the value of π as 3.14 we will get⇒ 2×3.14×9= 56.52 cm.
- So the circumference of the given circle would be 18π or 56.52 cms.
Answer:
1125 m
Step-by-step explanation:
Given equation:

where:
- h = height (in metres)
- t = time (in seconds)
<u>Method 1</u>
Rewrite the equation in vertex form by completing the square:




The vertex (15, 1125) is the turning point of the parabola (minimum or maximum point). As the leading coefficient of the given equation is negative, the parabola opens downward, and so vertex is the maximum point. Therefore, the maximum height is the y-value of the vertex: 1125 metres.
<u>Method 2</u>
Differentiate the function:

Set it to zero and solve for t:



Input found value of t into the original function and solve for h:

Therefore, the maximum height is 1125 metres.
Answer:
Smallest divisible number = 660
Step-by-step explanation:
Given:
Numbers
10, 11, 12
Find:
Smallest divisible number
Computation:
Factor
10 = 2×5
11 = 11×1
12 = 2×2×3
Smallest divisible number = 2×2×3×5×11
Smallest divisible number = 660
Answer:

Step-by-step explanation:
Use Pythagorean theorem, where:

Substitute in the values.





