35 / 5 = 7 ; also 49 /7 = 7
So
? = 8 x 7 = 56
Answer
Missing side length = 56
1 pound ≈ 0.4536 kg.
3 pounds ≈ 3 * 0.4536 ≈ 1.3608 kg
Hence 3 pounds ≈ 1.3608 kg.
For the first figure, the geometric figure used in the construction that is shown is the intersection of the angle bisectors of the triangle is the center of the inscribed circle.
For the second figure, the construction of the above figure in the circle represents how to find the intersection of the perpendicular bisectors of triangle ABC.
For the third figure, the statement that is demonstrated in the in line P intersecting line m perpendicularly is the set of points equidistant from the endpoints of a line segment is the perpendicular bisector of the segment.
Answer:
y - x = - 2 b
Step-by-step explanation:
Given-
3 x + 2 y = 5 a + b...................(i)
4 x - 3 y = a + 7 b.....................(ii)
<em><u>Multiply by 3 and 2 in equation (i) & (ii) respectively-</u></em>
<em><u>Add equation (iii) & (iv)-</u></em>
9 x + 6 y = 15 a + 3 a...................(iii)
<u>8 x - 6 y = 2 a + 14 b</u> ...................(iv)
17 x = 17 a + 17 b
<u>x = a + b</u>
Put x = a + b in equation (i)-
<em>2 y = 5 a + b - 3 a - 3 b</em>
<em>2 y = 2 a - 2 b</em>
<u>y = a - b </u>
<em>∴ y - x = a - b - ( a + b )</em>
<em>y - x = a - b - a - b</em>
y - x = - 2 b
Answer:
(a) 100 fishes
(b) t = 10: 483 fishes
t = 20: 999 fishes
t = 30: 1168 fishes
(c)
Step-by-step explanation:
Given
Solving (a): Fishes at t = 0
This gives:
Solving (a): Fishes at t = 10, 20, 30
Solving (c): 
In (b) above.
Notice that as t increases from 10 to 20 to 30, the values of 
decreases
This implies that:
So:
The value of P(t) for large values is:
