Answer:
13 ft
Step-by-step explanation:
c^2 = a^2 + b^2
C^2 = 5^2 + 12^2
C^2 = 25 + 144
c^2 = 169
c = 13 ft
Answer:
2
Step-by-step explanation:
3x + 2 =y y=8
3x + 2=8
3x=6
x=2
Answer:
it is in the form of- a, ar, ar^2,ar^3, etc
and a= 2
r= -4
Have a nice day!
Answer:
Area = 16 units²
Step-by-step explanation:
<u>Points to remember</u>
<u>Distance formula</u>
The distance between two points (x1, y1) and (x2, y2) is given by
Distance = √[(x2 - x1)² + (y2 - y1)²]
<u>To find the length and breadth of rectangle</u>
Let the points be (1, 7) , (5, 3)
Distance = √[(x2 - x1)² + (y2 - y1)²]
= √[(5 - 1)² + (3 - 7)²]
= √[(4)² + (-4)²]
= √32 = 4√2
If the points be (5, 3) , (3, 1)
Distance = √[(x2 - x1)² + (y2 - y1)²]
= √[(3 - 5)² + (1 - 3)²]
= √[(-2)² + (-2)²]
= √8 = 2√2
Length = 4√2 and breadth = 2√2
<u>To find the area of rectangle</u>
Area = Length * Breadth
= 4√2 * 2√2
= 16 units²
Answer:
39,916,800ways
Step-by-step explanation:
This arrangement is permutation. Since it is a circular arrangement, the formula for calculating arrangement of objects sitting in a circular path is (n-1)! where n is the number of objects. Applying this formula in the question, the 12 students will sit in a circle in (12-1)! ways.
(12-1)! = 11!
= 11×10×9×8×7×6×5×4×3×2×1
= 39,916,800ways