How can I graph 34+12d>100 on a number line?
1 answer:
Answer:
d> 5.5
The graph in the attached figure
Step-by-step explanation:
we have
Solve the inequality for d
That means ---> isolate the variable d
Subtract 34 both sides
Divide by 12 both sides
The solution is the interval (5.5,∞)
All real numbers greater than 5.5
In a number line the solution is the shaded area at right of d=5.5 (open circle)
The value of d=5.5 is not included in the solution
The graph in the attached figure
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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