Answer:
7.48m (3s.f.)
Step-by-step explanation:
Let the missing side be x m.
Applying Pythagoras' Theorem,
x² +5²= 9²
x² +25= 81
x²= 81 -25 <em>(</em><em>-25</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
x²= 56
x= 7.48 (3 s.f.)
∴ The missing side is 7.48 m (3s.f.)
Answer:
1) 1 2) 1/729 3) 1/27 4) -1/729
Step-by-step explanation:
plug them into calculator
Answer:
Some of the other answers are good examples of solving a system of three equations in three unknowns, which is what this problem is asking. Though the simplest way to solve this problem is actually to notice that, if we sum the three equations, we get:
X + Y = 10
X + Z = 20
+ Y + Z = 24
----------------
2X + 2Y + 2Z = 54
Factoring out the 2, we have 2(X + Y + Z) = 54, and dividing both sides by 2 reveals that X + Y + Z = 27.
Step-by-step explanation:
hopefully this helps
Answer:
θ = 5π/6 rad and 11π/6 rad
Step-by-step explanation:
Given the expression cotθ+√3=0
Subtract √3 from both sides
cotθ+√3-√3=0-√3
cotθ = -√3
Since cotθ = 1/tanθ
1/tanθ = -√3
Reciprocate both sides:
tanθ = -1/√3
θ = tan^-1(-1/√3)
θ = -30°
Since the angle is negative, and tanθ is negative in the second and fourth quadrant.
In the second quadrant;
θ = 180-30
θ = 150°
Since 180° = πrad
150° = 150π/180
150° = 5π/6 rad
In the fourth quadrant;
θ = 360-30
θ = 330°
Since 180° = πrad
330° = 330π/180
330° = 11π/6 rad
Hence the solutions are 5π/6 rad and 11π/6 rad.
Answer:
Parrelelogram
Step-by-step explanation:
Conggruent means sam angle but diiferent length and a parrelelogram has s standardized size deviation where the symmetry monsizes the ooppiosite size
