The smallest whole-number value for x that works is 7. The triangle’s sides can be defined as: a = x, b = 2x, and c = 15. Recognizing c as the longest side leads us to the condition for an acute triangle: c^2 must be less than a^2 + b^2. Inputting the known values, we solve for x and find that x must exceed 6.708. As a result, the least integer that satisfies this requirement is 7.
Set G consists of: G={4, 8, 12, 16, 20, 24, 28, 32, 36,...} Set F represents the perfect squares: F={1, 4, 9, 16, 25, 36, 49, 64, 81, 100...} Within set F, the numbers 4, 16, 36, 64, and 100 are multiples of 4. The result is: {4, 16, 36, 64, 100}.
Answer:
(a)
The distance from A to B to C equals 40 yards.
(b)
w is less than 40.
Step-by-step explanation:
The information provided states:
The distance from A to B is 15 yards.
Thus, AB is 15 yards.
The distance from B to C is 25 yards.
Therefore, BC is 25 yards.
(a)
The total distance from A to B to C is given by AB plus BC.
A to B to C = 15 + 25.
The total distance is 40 yards.
(b)
The direct distance from A to C (AC) must be shorter than the length of A to B to C.
AC is less than AB plus BC.
AC must be less than 15 + 25.
Thus, AC is less than 40 yards.
w is less than 40.
20*117.98 + 20*124.32 = $4846.00
<span>$4846.00*1.02 = $4942.92 </span>
<span>40*128.48 = $5139.20 </span>
<span>0.02*5139.20 = $102.78 </span>
<span>$5139.20 - $102.78 = $5036.42 </span>
<span>$5036.42 - $4942.92 = $93.50,
Thus, the result is (B)</span>
