Answer:
The vertical distance the ant have to walk is 8 units
Step-by-step explanation:
∵ The ant must be walk vertically and horizontally
∴ The distance from start point to end point will be as
a hypotenuse of a right angle triangle
∵ The ant would have to walk 6 units horizontally that
means one side of the right angle is 6 units
∵ The two points are apart by 10 units that means
the length of the hypotenuse is 10 units
∴ The vertical distance the ant would have to walk is
the length of the second side of the right angle
* By using Pythagoras Theorem:
∵ (hypotenuse)² = (horizontal leg)² + (vertical leg)²
∴ 10² = 6² + (vertical leg)²
∵ (vertical leg)² = 100 - 36 = 64
∴ Vertical leg = √64 = 8 units
∴ The vertical distance the ant have to walk is 8 units
Answer:
see attached
H31 = -0.2
Step-by-step explanation:
The matrix sum H is the element-by-element sum of corresponding elements of F and G. For example, H31 = F31 +G31 = -4.7 +4.5 = -0.2.
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For repetitive calculations using the same formula, it is convenient to do them using a spreadsheet.
Answer:
- first side: 55 cm
- second side: 60 cm
- third side: 50 cm
Step-by-step explanation:
The problem statement gives all the side lengths in terms of that of the second side. Let s represent the length of the second side in cm. Then the length of the first side is (2s-65), and the length of the third side is (s-10). The perimeter is the sum of all the side lengths:
165 = (2s -65) +s +(s-10)
165 = 4s-75
240 = 4s
60 = s . . . . . . . . second side
2s-65 = 55 . . . . first side
s-10 = 50 . . . . . . third side
In order, the side lengths are 55 cm, 60 cm, 50 cm.
