Answer:
The equation is:

And the solution is:

Step-by-step explanation:
Given
Represent Kiran with K and Tyler with T
Kiran score is represented as:

Also, Kiran scored 223 less than Tyler.
This is represented as:

Substitute 409 for K

Make T the subject



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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Answer:
3.5
Step-by-step explanation:
98/8=12.25
√12.25=3.5
Answer:
The mean is 3. The sum of the number is 18.
Step-by-step explanation:
1+1+1+4+4+7 = 18
18 divided by 6= 3
Let x be the first jug, y the second jug.
From first statement, subtracting 1 from x, makes them equal:
x - 1 = y
From second statement, subtracting 2 from y, makes it half of x:
x/2 = y-2
Solve system with substitution:
x/2 = (x-1) -2
x/2 = x - 3
x- x/2 = 3
x/2 = 3
x = 6
y = x-1 = 6-1 = 5
Therefore the largest jug contains 6 liters.