Answer:
2300
x
Step-by-step explanation:
Answer:
what ?
Step-by-step explanation:
The dimensions in the given should have the same unit in order for us to do mathematical operations with them. 3.5 km when converted to meters become 3500 m. The problem asked for the tiger's displacement, that is the distance from his starting point to his final position. This is equal to 1,250 m subtracted from 3500 m. Thus, the answer is 2250 meters.
Answer: The area of the shaded sectors is 35.3 square kilometres
Step-by-step explanation: What we have here is a circle with center Z. Two sectors have been formed which are ZVW and ZYX. A careful observation reveals that both sectors are similar. If WY passes through the center Z then WY is a diameter. The same applies to VX, since it also passes through the center, therefore it is a diameter. Both lines intersect at the center, that makes both sectors to have the same radii which is 5.3 km and same applies to the angle subtended at the center of the sector, both angles are opposite angles formed by intersecting lines (opposite angles formed by intersecting lines are equal). On a straight line WY, the sum of angles ∠WZX and ∠YZX equals 180 degrees (Sum of angles on a straight line equals 180). Therefore;
WZX + YZX = 180
108 + YZX = 180
Subtract 180 from both sides of the equation
YZX = 72°
Therefore the area of shaded sector YZX is given as;
Area of a sector = (∅/360) x πr²
Where ∅ is 72, and r is 5.3
Area of sector = (72/360) x 3.14 x 5.3²
Area of sector = 0.2 x 3.14 x 28.09
Area of sector = 17.64
Having in mind that both sectors are similar (the same radii and the same central angle), the area of the shaded sectors shall be equal to 17.64 times 2 and that equals 35.28. (That is approximately 35.3 to the nearest tenth)
The area of the shaded sectors therefore is 35.3 square kilometres (35.3 km²)
Explanation:
Start with 9 negative chips, for a value of -9.
Take away (subtract) 4 of the negative chips. This is modeling - (-4).
You will be left with 5 negative chips.
-9 - (-4) = -5
__
Each negative chip in this scenario models -1. The actions you're doing with the chips are full equivalent to the actions you would do for the subtraction problem 9 - 4 = 5, except that the numbers (chips) are negative, not positive.