The answer is false because that number wouldnt even still be there because you have to take away a number!
Answer:
15.35 m²
Step-by-step explanation:
For a central angle of θ in radians, the area of a segment is ...
A = (1/2)r²(θ -sin(θ))
The central angle subtending the segment is 120°, or 2π/3 radians. Thus the segment area is ...
A = (1/2)(5 m)²(2π/3 -sin(2π/3)) = (25 m²)(π/3 -(√3)/4)
A ≈ 15.35 m² . . . . area of shaded segment
Answer:
Clare is correct
Step-by-step explanation:
For two shapes to be congruent, the shape and size have to be the same. In other words they ate have to equal length in size and also equal angles(same shape hence equal angles). Therefore Clare is correct since only have equal length in sides does not qualify the polygon to be congruent or similar like Priya claims
<em>Greetings from Brasil...</em>
According to the statement of the question, we can assemble the following system of equation:
X · Y = - 2 i
X + Y = 7 ii
isolating X from i and replacing in ii:
X · Y = - 2
X = - 2/Y
X + Y = 7
(- 2/Y) + Y = 7 <em>multiplying everything by Y</em>
(- 2Y/Y) + Y·Y = 7·Y
- 2 + Y² = 7X <em> rearranging everything</em>
Y² - 7X - 2 = 0 <em>2nd degree equation</em>
Δ = b² - 4·a·c
Δ = (- 7)² - 4·1·(- 2)
Δ = 49 + 8
Δ = 57
X = (- b ± √Δ)/2a
X' = (- (- 7) ± √57)/2·1
X' = (7 + √57)/2
X' = (7 - √57)/2
So, the numbers are:
<h2>
(7 + √57)/2</h2>
and
<h2>
(7 - √57)/2</h2>
