Answer:
The length of a side of the square is 6.3 units.
Step-by-step explanation:
When given vertices for a given shape, the length of the side is calculated using the formula:
√(x2 - x1)² + (y2 - y1)²
When given vertices (x1 , y1) and (x2 , y2)
Square ABCD has vertices A(-2,-3), B(4, -1), C(2,5), and D(-4,3). Find the length of a side
Side AB : A(-2,-3), B(4, -1)
√(x2 - x1)² + (y2 - y1)²
= √(4 -(-2))² + (-1 -(-3))²
= √ 6² + 2²
= √36 + 4
= √40
= 6.3245553203
≈ 6.3 units
B(4, -1), C(2,5),
√(x2 - x1)² + (y2 - y1)²
= √ (2- 4)² + (5- (-1))²
= √-2² + 6²
= √4 + 36
= √40
= 6.3245553203
≈ 6.3 units
C(2,5), D(-4,3).
√(x2 - x1)² + (y2 - y1)²
= √(-4 - 2)² + (3 - 5)²
= √-6² + -2²
= √36 + 4
= √40
= 6.3245553203
≈ 6.3 units
A(-2,-3), D(-4,3).
√(x2 - x1)² + (y2 - y1)²
= √(-4 -(-2))² + (3 - (-3))²
= √-2² + 6²
= √4 + 36
= √40
= 6.3245553203
≈ 6.3 units
Answer:
Algebraic expression representing number of coffee B = 100-x
Step-by-step explanation:
An algebraic expression is an expression that contains unknowns denoted with alphabets or symbols and natural numbers.
Coffee blend is 100 pounds and x represent number of pounds of coffee A
Hence coffee B = 100-x
Algebraic expression representing number of coffee B = 100-x
Answer:
The rectangular form of ![4[cos(150^{o})+i sin (150^{o})]](https://tex.z-dn.net/?f=4%5Bcos%28150%5E%7Bo%7D%29%2Bi%20sin%20%28150%5E%7Bo%7D%29%5D)
is 
.
R=d/2
R=40/2
R=20
A=πr^2
A=π20^2
A=π400
A=1256.637061
Area of triangle=(b*h) /2
A=(40*20)/2
A=800/2
A=400
Area of circle-area of triangle=area of shaded region
1256.637061-400=856.637061
Hope this helps!
