Suppose you got 8 mangoes and 3 apples for $18 and 3 mangoes and 5 apples for $14.50. How much does each mango and each apple co
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Answer:
9.80 m
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship between sides of a right triangle and its angles.
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<h3>setup</h3>The geometry of this problem can be modeled by a right triangle, so these relations apply. We are given an angle and adjacent side, and asked for the opposite side, so the relation of interest is ...
Tan = Opposite/Adjacent
Using the given values, we have ...
tan(24°) = AC/AB = (tree height)/(distance from tree)
tan(24°) = AC/(22 m)
<h3>solution</h3>Multiplying by 22 m gives ...
tree height = AC = (22 m)·tan(24°) ≈ 9.79503 m
The height of the tree is about 9.80 meters.
Answer:
The equation modelling the situation is .
After <u>10 months</u> the cost would be $400.
Step-by-step explanation:
Given:
Annual Fee of flying club = $200
Monthly fee = $20
We need to write an equation for total cost.
Solution:
Let the number of months be denoted 'm'
Let Total cost be denoted by 'T'
Now we can say that:
Total cost is equal to sum of Annual Fee of flying club plus Monthly fee multiplied by number of months.
framing in equation form we get;
Hence The equation modelling the situation is .
Now given:
We need to find the number of months when total cost will be $400
So we will substitute T= 400 in above equation.
Subtracting both side by 200 we get;
Dividing both side by 20 we get;
Hence After <u>10 months</u> the cost would be $400.