Marta tried solve the system below, but she made a mistake. Read carefully and try to figure out what her mistake was.
2 answers:
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Answer:
Step-by-step explanation:
When the stick is placed along the diagonal of the cuboid , shortest possible length will extend out above top of the crate .
Length of the diagonal
=
= 78.69 cm
the length of the stick that extends out of the crate
= 90 - 78.69
= 11.31 cm
If θ be the angle made by stick with the base
cosθ = hypotenuse of base / diagonal of cuboid
=
=
θ = 50°
The given <span>expression is 
</span>
So, we have 3 square roots.
The number under a square root sign must be Non negative.
Beside that the denominator must be not equal zero.
For the term ⇒⇒⇒
∴ x > 0 ⇒⇒⇒ x ∈ (0,∞)
For the term ⇒⇒⇒
∴x+1 ≥ 0 ⇒⇒⇒ x ≥ -1 ⇒⇒⇒ ∴ x ∈ [-1,∞)
For the term ⇒⇒⇒
∴ 1-x ≥ 0 ⇒⇒⇒ x ≤ 1 ⇒⇒⇒ x ∈ (-∞,1]
So, The values of x which make the <span>expression well defined
</span>
<span>∴ x ∈ { </span><span>(0,∞) ∪ </span><span>[-1,∞) ∪ </span><span>(-∞,1] }
</span><span>
</span><span>∴ x ∈ [-1,0) ∪ (0,1]
</span><span>
</span><span>OR can be written as ⇒⇒ x ∈ [-1,1] - {0}
</span>
</span>
So, we have 3 square roots.
The number under a square root sign must be Non negative.
Beside that the denominator must be not equal zero.
For the term ⇒⇒⇒
∴ x > 0 ⇒⇒⇒ x ∈ (0,∞)
For the term ⇒⇒⇒
∴x+1 ≥ 0 ⇒⇒⇒ x ≥ -1 ⇒⇒⇒ ∴ x ∈ [-1,∞)
For the term ⇒⇒⇒
∴ 1-x ≥ 0 ⇒⇒⇒ x ≤ 1 ⇒⇒⇒ x ∈ (-∞,1]
So, The values of x which make the <span>expression well defined
</span>
<span>∴ x ∈ { </span><span>(0,∞) ∪ </span><span>[-1,∞) ∪ </span><span>(-∞,1] }
</span><span>
</span><span>∴ x ∈ [-1,0) ∪ (0,1]
</span><span>
</span><span>OR can be written as ⇒⇒ x ∈ [-1,1] - {0}
</span>