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KATRIN_1 [288]
3 years ago
5

A vertical pole 5 feet long casts a shadow of 2 feet.if at the same time a nearby tree casts a shadow of 10 feet, how tall is th

e tree? Please show work
Mathematics
1 answer:
ohaa [14]3 years ago
7 0
We use the proportion for this case the pole and the tree with their shadows has the same shape forming a right triangle.
We use the ratio of the two triangles and equate them as

h1/s1 = h2/s2

where
h1 and s1 are the height and the length of a shadow of the pole,
and the other h2 and s2 are for the tree

Identify all the given values.
5 ft / 2 ft = (h2) / 10 ft
h2 = 25 ft
Therefore the height of the tree "h2" is 25 ft.
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3 years ago
Which of the following can be modeled with an exponential function? Select all that apply.
bogdanovich [222]

Answer: The answers are

(ii) The cost to attend Universal Studios increases by 1% each year,

(iii) An endangered species population is decreasing by 12% each year,

(iv) The population of a town that is growing by 5% each year.

Step-by-step explanation:  We are given five functions and we are to select those which can be modelled with an exponential function.

(i) Here, height is varying with respect to time, so it will be a linear function.

(ii) Here, the cost to attend Universal Studios is increasing by 1% every year, so this will be an exponential function.

(iii) Here, an endangered species population is decreasing by 12% each year.

So, this will also be an exponential function.

(iv) Since we are considering the distance travelled by the bicycle at a constant speed of 25 mph, so this will be a linear function.

(v) Here also the population is growing by 5% each year. So, the function will be exponential.

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3 0
3 years ago
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vladimir2022 [97]

Step-by-step explanation:

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2nd number = x + 2

3rd number = x + 4

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5th number = x + 8

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5x + 20 = 20

5x = 20 - 20

5x = 0

x = 0 ÷ 5

x = 0

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