In order to rationalize the denominator of each expression, we need to multiply the expression by the same radical in the denominator, this way we can remove the radical from the denominator.
9)
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After 5 s, the particle traverses a path subtended by an angle of
(3π/4 rad/s) (5 s) = 15π/4 rad
Now, 15π/4 rad = 15/8 * 2π rad, so the arc has a length equal to 15/8 of the circumference of the path:
15/8 * 2π * (3 cm) = 45π/4 cm ≈ 35.3 cm
Answer:
Step-by-step explanation:
The sides of a triangle are 6cm, 6cm, and 4cm.
According to triangle inequality, the sum of the length of any two sides of a triangle must be greater than the length of the third side.
So,
6+6=12>4
6+4=10>6
4+6=10>6
Therefore, the theorem of triangle inequality is satisfied for all three possible cases. This implies that only one triangle can be constructed with sides measuring 6cm, 6cm, and 4cm.
Question
find the volume of a cylinder whose height is 7 cm and radius is 10 cmAnswer:soln
volume of cylinder= pie r ^h where pie = 22/7
height=7 cm
radius=10 cm
now,
volume of cylinder= 22/7*10*10*7cm
V≈2199.11cm³
Answer:
You have to find the gradient, gradient =vertical change ÷horizontal change
