Type the correct answer in each box. Consider the expressions shown below.
2 answers:
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Answer:
the height of the tree is <em>15.49 m</em>
<em></em>
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>
<em></em>
Therefore, the height of the tree is <em>15.49 m</em>
The complete question in the attached figure
we know that
<span>Fred bought
</span><span>4 liters of liquid laundry detergent
</span><span>3250 mL of fabric softener------------> 3250/1000-------> 3.25 liters
</span><span>2.5 L of bleach-----------> 2.5 liters
then
</span><span>statements
4a. Fred bought 75 milliliters more fabric softener than bleach
</span>3.25-2.5-------> 0.75 liters--------> 750 mi
the statement is false
<span>4b. Fred brought 1.75 liters more laundry detergent than bleach
4-2.5---------> 1.5 liters
</span>the statement is false
4c. Fred brought 750 milliliters more fabric softener than bleach. <span>
3.25-2.5-------> 0.75 liters-------> 750 ml
</span>the statement is true
4d. Fred brought 150 milliliters more laundry detergent than bleach.
4-2.5--------> 1.5 liters---------> 1500 ml
the statement is false
<span>4e. Fred bought 0.75 liters more laundry detergent than fabric softener.
</span>4-3.25--------> 0.75 liters
the statement is true
we know that
<span>Fred bought
</span><span>4 liters of liquid laundry detergent
</span><span>3250 mL of fabric softener------------> 3250/1000-------> 3.25 liters
</span><span>2.5 L of bleach-----------> 2.5 liters
then
</span><span>statements
4a. Fred bought 75 milliliters more fabric softener than bleach
</span>3.25-2.5-------> 0.75 liters--------> 750 mi
the statement is false
<span>4b. Fred brought 1.75 liters more laundry detergent than bleach
4-2.5---------> 1.5 liters
</span>the statement is false
4c. Fred brought 750 milliliters more fabric softener than bleach. <span>
3.25-2.5-------> 0.75 liters-------> 750 ml
</span>the statement is true
4d. Fred brought 150 milliliters more laundry detergent than bleach.
4-2.5--------> 1.5 liters---------> 1500 ml
the statement is false
<span>4e. Fred bought 0.75 liters more laundry detergent than fabric softener.
</span>4-3.25--------> 0.75 liters
the statement is true