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IgorLugansk [536]
3 years ago
9

Sam and Dean are brothers. Their ages now add up to the age of their sister. In ten years, Dean's age will be the sum of their a

ges today. How old are each of them?
Mathematics
1 answer:
FrozenT [24]3 years ago
7 0

Answer:

Sam is  yeas old, and Dean is (x - 10) year's old, where 'x' is the age of their sister

Step-by-step explanation:

The relationship between the ages of the brothers are;

Sam's age + Dean's age = Their sister's age

Dean's age + 10 = Dean's age + Sam's age

Therefore, we have;

Sam's age = Dean's age + 10 - Dean's age = 10

Sam's age = 10 years

Let 'x' represent their sisters age, we get;

Sam's age + Dean's age = x

10 + Dean's age = x

Dean's age (in variable form) = x - 10

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Because-9+4= -5
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A sheet of paper is 8.5 in X 11 inches if you cut 2 in squared from each corner what is the area if the paper
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Hope this helped!
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What is the quotient of 65,610 ÷ 18?
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A snail travels 10 cm in 4 minutes. At this rate: How long will it take the snail to travel 24 cm? minutes How far does the snai
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3 0
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While standing on top of a hill at a ski resort, Alexa Latour spots the ski lodge below. If the vertical height of the hill is 1
alexira [117]

Answer: The distance to the lodge is 1514 ft

Step-by-step explanation: Please refer to the diagram attached.

The point where Alexa is standing at the top of the hill is marked as point A. The vertical height of the hill is from point A to point B which has been given as 1209 ft. Also, when Alexa looks down, she does that at an angle of depression measuring 53 degrees. Therefore while looking at the lodge, she forms an angle between her line of sight and the height of the hill. That angle is calculated as 90 degrees minus 53 degrees and that equals 37 degrees (as shown in the diagram). Note that her line of sight is AC since the ski lodge is at point C. Therefore the distance she must ski in order to get to point C (which shall be represented by X) shall be calculated using trigonometric ratios.

Note that we have a reference angle which is 37. We also have an adjacent which is 1209 (the side that lies between the reference angle and the right angle). And then we want to calculate the hypotenuse, yet unknown, (which is the side facing right angle). Since we have an adjacent, a hypotenuse and the reference angle, X can be calculated as

Cos A = Adjacent/Hypotenuse

Cos A = AB/AC

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By cross multiplication we now have X = 1209/Cos 37

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X = 1209/0.7986

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