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Nady [450]
3 years ago
15

During a windstorm, part of the top of a flagpole breaks off. The broken top portion touches the ground at an angle of 65degrees

14feet from its base.
How tall was the pole before the windstorm? Round your answer to one decimal place. Can someone answer this please
Mathematics
1 answer:
Sholpan [36]3 years ago
5 0
The situation in the problem creates a right triangle with a base of 14ft. An angle of 65 degrees means that the triangles has...

A hypotenuse of hyp = \frac{14ft}{cos(45)} = 33.13ft, representing the length of the broken part of the pole.

An opposite of sin(65)*hyp = sin(65)*33.1ft = 30.0ft, representing the height of the part of the flag that still stands.

The total original flag height is the sum of the two parts.
h = 30.0ft + 33.13ft = 63.13ft
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67.33. You would first find the total height of people. So 50 would be multiplied by 68, giving you the answer of 3,400. After, you would subtract 82 and 86, giving you 3,232. To get the final answer you would divide the value by 48, since two of them are removed, giving you 67.33.
7 0
3 years ago
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Hallar el valor de x en 3(x-2)+4=x-5
kolezko [41]

Answer:

exact form 3/2 decimal  form 1.5 mixed number form 1 1/2

Step-by-step explanation:

8 0
2 years ago
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Chris saved x dollars and spent half of his savings buying video games. After earning an additional $15 cutting grass, he had $5
olga55 [171]

Chris started with $70  in the savings account

What is the equation representing the scenario?

The equation representing the scenario painted in the question is: one half times x plus 15 equals 50

1/2*X+15=50

X/2+15=50

X/2=50-15

X/2=35

X=35*2

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In short the amount Chris started with in the savings account is $70

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4 0
1 year ago
If a gas-filled balloon rises 40 feet in the 1st minute, 60 feet in the 2nd minute, and 80 feet in the 3rd minute, how many feet
tresset_1 [31]
The distance traveled by the balloon in every minute makes an arithmetic sequence with a first term equal to 40 ft and common difference equal to 20. The nth term of an arithmetic sequence is calculated by,
                                     an = a1 + (n - 1) x d
Substituting,
                                      an = 40 + (15 - 1) x 20 = 320
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7 0
3 years ago
Item 5 Item 5
olga_2 [115]

Answer: the value of the annuity when you retire is $130919

Step-by-step explanation:

We would apply the future value which is expressed as

FV = C × [{(1 + r)^n - 1}/r]

Where

C represents the yearly payments.

FV represents the amount of money

in your account at the end of 10 years.

r represents the annual rate.

n represents number of years or period.

From the information given,

r = 7% = 7/100 = 0.07

C = 20/100 × 47400 = $9480

n = 10 years

Therefore,

FV = 9480 × [{(1 + 0.07)^10 - 1}/0.07]

FV = 9480 × [{1.967 - 1}/0.07]

FV = 9480 × 13.81

FV = $130919

4 0
2 years ago
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