The hikers started at point S.
The first hiker went 2 miles east and 1 mile north to point A.
The second hiker went 1 mile west and 3 miles south to point B.
See the figure below.
A
I
1 mile I 1 mile
I---------S------------------I
I 2 miles
I
I
3 miles I
I
I
B
Now we need to see how much east and how much north hiker B is from hiker A.
A
I
1 mile I 1 mile
I---------S------------------I
I 2 miles I
I I
I I
3 miles I I 3 miles
I I
I I
B----------------------------I
3 miles
From point B go 3 miles east, then 3 + 1 = 4 miles north to point B.
The distance between the hikers is the hypotenuse of a triangle with legs of lengths 3 and 4.
3^2 + 4^2 = d^2
9 + 16 = d^2
d^2 = 25
d = 5
The distance between the hikers is 5 miles.
Answer:
the last one
Step-by-step explanation:
the last one
Answer: Counter, 0, 0.
Step-by-step explanation:
Think about a clock. The hand of a clock goes clockwise. When you tighten something (righty tighty) you spin it clockwise. You can rotate an object, lets say a square, clockwise. You can also rotate it counterclockwise, in the other direction. Therefore, you can rotate an object clockwise and <u>counter</u>clockwise.
You can rotate a figure around any point, such as the center of the figure, the origin, or anywhere else. One common place to rotate a figure around, such as a square, is the origin. This is the center of the coordinate plane. This point is not up, down, left, or right at all from the center. This coordinate is (0, 0). Therefore, the next two blank spaces should both be filled with 0.
The blank spaces should look like this:
One direction is clockwise and the other is <u>counter</u>clockwise.
...
This can be any coordinate point such as the origin which is at (<u> </u><u>0</u><u> </u>, <u>0</u><u> </u>)
<h2>Answer: </h2>
1. <u>Area = b × h</u>
A = 5 × 3
A = 15cm².
2. <u>Area = ½(a + b) × h</u>
A = ½(9 + 15) × 15
A = ½ × 24 × 15
A = 12 × 15
A = 180mm².
3. <u>Area = 2(l × b) + l × b</u>
A = 2(12 × 4) + 6 × 3
A = 2 × 48 + 18
A = 96 + 18
A = 114m².
Required area of shaded portion
= Area of square ABCD - 4 × area of one quadrant
