Answer: The first one is 144 . The second one is C.
Step-by-step explanation:
Mr. and Mrs. Lorenzo have saved $38,430 for the home they want to buy
Information about the problem:
- Initial cost = $213,500
- Savings = 18%.
- Final savings =?
To solve this exercise we have to apply the percentage formula:
Final savings = initial cost * savings / 100
Final savings = $213,500 * 18 / 100
Final savings = $213,500 * 0.18
Final savings = $38,430
<h3>What is a percentage?</h3>
Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.
Learn more about percentage at: brainly.com/question/24877689
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All you are really doing is if you divide you are moving the decimal to the left and when you times you are moving the decimal to the right
Answer:
about 3.9886 miles, or 21,060 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds us of the relationship between sides of a right triangle and the trig functions of the angles. If the balloon height is represented by h, and the distance from the spot below the balloon to the nearest observer is x, then we know ...
tan(59°) = h/x
and
tan(23°) = h/(x+7)
If we invert the ratios, we can express these a little differently:
cot(59°) = tan(31°) = x/h
cot(23°) = tan(67°) = (x+7)/h
We can multiply both equations by h and subtract the first product from the second.
h·tan(67°) -h·tan(31°) = (x+7) -(x)
h(tan(67°) -tan(31°)) = 7
h = 7/(tan(67°) -tan(31°)) ≈ 3.988623 . . . . miles
The height of the balloon is about 3.9886 miles.
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Comment on this geometry
The working of this problem assumes a flat earth. The altitude is such that oxygen would be required by the "sightseers".
