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
They are used for making the sides of a triangle into a ratio. Sine is opposite of the angle divide by the hypotenuse, cosine is adjacent divided by the hypotenuse, and tangent is the opposite divided by the adjacent. Sine is the y-component, cosine is the x-component, and tangent is the ratio of sine/cosine or can also be considered the slope.
Answer:
radical 1/2
Step-by-step explanation:
45-45-90 triangle
hyp= radical 1/2 (radical 2)
therefore x (median side aka)= radical 1/2
Answer
Step-by-step explanation:
first off rt(2x^5) can be simplified as x^2 rt(2x) because we can break up x^5 into x^4 * x. x^4 is a perfect square so factor out a x^2.
the denominator 
can be written as 
since the factors of 18 involve a perfect square of 9. 9*2 is 18 so factor out a 3.
the whole fraction :
cancel out the 
and you are left with
