The boy is 4.79 ft tall.
Use the conversion formula of,
d(ft) = d(m) / 0.3048
Use the conversion formula of,
d(ft) = d(m) / 0.3048
Which of the following are a pair of vertical angles?
1 answer:
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Answer:
24 cm
Step-by-step explanation:
The altitude from the centre to the chord is 5 cm and bisects the chord.
The radius of the circle is 26 cm ÷ 2 = 13 cm
There is a right triangle formed with legs 5 and x ( x is half the chord )
The hypotenuse is the radius, then using Pythagoras' identity
x² + 5² = 13²
x² + 25 = 169 ( subtract 25 from both sides )
x² = 144 ( take the square root of both sides )
x = = 12
Then
length of chord = 2x = 2 × 12 = 24 cm
Answer:
See proof below
Step-by-step explanation:
We will use properties of inequalities during the proof.
Let . then we have that
. Hence, it makes sense to define the positive number delta as
(the inequality guarantees that these numbers are positive).
Intuitively, delta is the shortest distance from y to the endpoints of the interval. Now, we claim that , and if we prove this, we are done. To prove it, let
, then
. First,
then
hence
On the other hand, then
hence
. Combining the inequalities, we have that
, therefore
as required.