The lcm of 24,39,150 and 60 is
2 answers:
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Answer:
The measurement of EF is 1.98 units
Step-by-step explanation:
In Δ DEF
∵ m∠E = 90°
∴ FD is the hypotenuse of the triangle
∵ m∠D = 26°
∵ EF is opposite to angle D
- We can use the sine ratio to find it
∵ sin D = ⇒ (opposite side / hypotenuse)
∵ FD = 4.5 units
∴ sin(26) =
- Multiply both sides by 4.5
∴ 4.5 sin(26) = EF
∵ sin 26° ≈ 0.44
∴ 4.5(0.44) = EF
∴ 1.98 = EF
The measurement of EF is 1.98 units
Answer:
Step-by-step explanation:
The shape of an arch corresponds to a parabola.
the general equation for a parabola is:
we're given three coordinates: (-7,-13),(7,-13) and (0,0)
so we can plug these values in the general equation to make 3 separate equations:
(x,y) = (-7,-13)
(x,y) = (7,-13)
(x,y) = (0,0)
so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.
we've already found c = 0, let's use substitute it to other equations.
we can solve these two equation using the elimination method, by simply adding the two equations
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Now we can plug this value of a in any of the two equations.
We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.
This our equation of the arch!