Answer:
the area of a sector is 151.976 cm²....
Step-by-step explanation:
Area of sector(A)is given by:
A=πr².θ/360°
where,
r is the radius and θ is the angle in degree.
As per the statement:
A central angle of 4π/5 radians and a radius of 11 cm.
r=11cm
Use conversion:
1 radian=180/π
then:
4π/5 radians=180/π * 4π/5
=144°
θ=144°
Substitute these given values and use 3.14 for π we have;
A=3.14*(11)²*144/360
A=3.14(121)*144/360
A=379.94*0.4
A=151.976 cm²
Therefore the area of a sector is 151.976 cm²....
The length of JK is 13.75 you need to do a^2+b^2=c^2 17^2-10^2= 189 the square root of 189 is 13.75
Answer:
x = 5
Step-by-step explanation:
A quadratic equation:
f(x) = y = a*x^2 + b*x + c
Has a vertex in a point:
(h, k) such that:
h = -b/2a
and:
k = f(-b/2a)
And the axis of symmetry (this is the line that cuts the graph in two halves) is:
x = h.
In this case, the vertex is (5, -6)
Then the axis of symmetry is:
x = 5.
Answer:
Yes, both triangles are congruent to each other by SIDE ANGLE SIDE property of congruence.
Step-by-step explanation:
Two triangles are said to be congruent if and only if they have same corresponding angles and sides.
Now, here
Side 1 = Side 2 (given)
Side 3 = Side 4 (given)
Central angle of triangle 1 = Central angle of triangle 2 (Vertically Opposite)
Hence, by the rule of SIDE ANGLE SIDE (SAS) rule of congruence ,
Triangle 1 ≅ Triangle 2
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