1/2 + x + 1/6 > = 1
First add the 2 fractions:
1/2 + 1/6 = 2/3
Now you have:
2/3 + x > =1
Subtract 2/3 from both sides:
x >= 1 - 2/3
X > = 1/3
Answer:
A
Step-by-step explanation:
Given
4n² + 4(4m³ + 4n² ) ← distribute terms in parenthesis by 4
= 4n² + 16m³ + 16n² ← collect like terms
= (4n² + 16n²) + 16m³
= 20n² + 16m³
= 16m³ + 20n² ← in standard form → A
Answer:
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Step-by-step explanation:
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Let AB be a chord of the given circle with centre and radius 13 cm.
Then, OA = 13 cm and ab = 10 cm
From O, draw OL⊥ AB
We know that the perpendicular from the centre of a circle to a chord bisects the chord.
∴ AL = ½AB = (½ × 10)cm = 5 cm
From the right △OLA, we have
OA² = OL² + AL²
==> OL² = OA² – AL²
==> [(13)² – (5)²] cm² = 144cm²
==> OL = √144cm = 12 cm
Hence, the distance of the chord from the centre is 12 cm.
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The perimeter of the triangle, namely the sum of all its 3 sides, is 110.
now, the three sides are in a 6:7:9 ratio, namely, if we divide 110 by (6+7+9), it will give us hmmm 110/22, a quotient of 22 equal pieces, namely how many times 22 would go into 110.
now, the small side, takes 6 of those pieces, the medium side takes 7 of them and the largest takes 9 of those pieces.
110/22 = 5
the small side is then 6(5).
the medium side is 7(5).
and the largest side is 9(5).
add them up, and you'd get the perimeter, 110 inches.
