Answer:
Just A
Step-by-step explanation:
Commutative property of multiplication
Answer:
<u>The perimeter = 29.105 units</u>
Step-by-step explanation:
The rest of the question is the attached figure.
The perimeter of the figure shown = AB + BC + CD + DE + EF + FG + GA
AB = 5 units
BC = √(1² + 4²) = √17 ≈ 4.123 units
CD = √(4² + 4²) = √32 ≈ 5.657 units
DE = √(1² + 3²) = √10 ≈ 3.162 units
EF = 3 units
FG = √(1² + 3²) = √10 ≈ 3.162 units
GA = 5 units
So, The perimeter = 5 + 4.123 + 5.657 + 3.162 + 3 + 3.162 + 5 = 29.105 units
<u>So, The perimeter = 29.105 units</u>
Answer:
x = 7.3
Step-by-step explanation:
area = base × height / 2
21.9 = 6 × x / 2
43.8 = 6x
x = 7.3
Split up each force into horizontal and vertical components.
• 300 N at N30°E :
(300 N) (cos(30°) i + sin(30°) j)
• 400 N at N60°E :
(400 N) (cos(60°) i + sin(60°) j)
• 500 N at N80°E :
(500 N) (cos(80°) i + sin(80°) j)
The resultant force is the sum of these forces,
∑ F = (300 cos(30°) + 400 cos(60°) + 500 cos(80°)) i
… … … + (300 sin(30°) + 400 sin(60°) + 500 sin(80°)) j N
∑ F ≈ (546.632 i + 988.814 j) N
so ∑ F has a magnitude of approximately 1129.85 N and points in the direction of approximately N61.0655°E.
Answer:
The equation that represents the line that passes through the given points is y - 1 = (x - 3) ⇒ A
Step-by-step explanation:
The point-slope form of the linear equation is y - y1 = m(x - x1), where
- m is the slope of the line
- (x1, y1) is a point on the line
The rule of the slope is m = , where
- (x1, y1) and (x2, y2) are two points on the line
∵ The line passes through points (3, 1) and (6, 6)
∴ x1 = 3 and y1 = 1
∴ x2 = 6 and y2 = 6
→ Substitute them in the rule of the slope to find it
∵ m =
∴ m =
→ Substitute the value of x1, y1, and m in the form of the equation above
∵ y - 1 = (x - 3)
∴ The equation that represents the line that passes through the given
points is y - 1 = (x - 3)