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Answer:
The equation to find the number of sheets required to cut 1,045 apples can be given as:
where represents number of sheets.
Thus, 209 sheets can be used to cut 1,045 apples.
Step-by-step explanation:
Given:
5 apples can be cut from each sheet of paper.
To write an equation to find the number of sheets required to cut 1,045 apples and find the number of sheets.
Solution:
Let the number of sheets required be =
Using unitary method to find the number apples that can be cut using sheets.
If 1 sheet can be used to cut 5 apples.
Then sheets can be used to cut =
apples.
We know that 1,045 apples. So, the equation to find is given as:
Solving for
Dividing both sides by 5
∴
Answer:
the height of the tree is <em>15.49 m</em>
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Step-by-step explanation:
Step 1:
From the figure, we can determine ∠ATB by using the fact that the sum of all the angles in a triangle add up to 180°:
∠ ATB = 180° - 98° - 20°
∠ ATB = 62°
Step 2:
Therefore, using the law of sines, we can determine the height of the tree.
TB / sin(20°) = 40 / sin(62°)
TB = 40 × (sin(20°) / sin(62°))
<em>TB = 15.49 m </em>
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Therefore, the height of the tree is <em>15.49 m</em>
