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liq [111]
3 years ago
7

A biologist wants to know the width (w) of a river to properly set instruments for an experiment. From point A, the biologist wa

lks downstream 100 feet and sights to point C. From the sighting it is determined that 0=54°. How wide is the river?
Mathematics
1 answer:
nevsk [136]3 years ago
4 0

Answer:

w = 137.6 ft

Step-by-step explanation:

100 tan 54° = w/100 *100

Simplify w/100*100 = w

w = 100 tan 54°

w = 137.6 ft

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A monkey is swinging from a tree. On each swing, she travels along an arc that is 75% as long as the previous swing's arc. The t
mr_godi [17]

Answer:

Total length of the first swing=64 m

Step-by-step explanation:

The total length of all four swings can be expressed as;

Total length of all 4 swings=Length of first swing+length of second swing+length of third swing+length of fourth swing

where;

Total length of all 4 swings=175 m

Length of first swing=x

Length of second swing=75% of length of first swing=(75/100)×x=0.75 x

Length of third swing=75% of length of second swing

Length of third swing=(75/100)×0.75 x=0.5625 x

Length of fourth swing=75% of length of third swing

Length of fourth swing=(75/100)×0.5625 x=0.421875 x

replacing;

Total length of all 4 swings

175=x+0.75 x+0.5625 x+0.421875 x

2.734375 x=175

x=175/2.734375

x=64

Total length of the first swing=x=64 m

3 0
3 years ago
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To factor 9x^2 - 4, you can first rewrite the expression as:
olga2289 [7]

Answer:

  C. (3x)^2 - (2)^2

Step-by-step explanation:

Each of the two terms is a perfect square, so the factorization is that of the difference of squares. Rewriting the expression to ...

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highlights the squares being differenced.

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We know the factoring of the difference of squares is ...

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so the above-suggested rewrite is useful for identifying 'a' and 'b'.

4 0
3 years ago
Help me, I don't understand this problem
Crank
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Find the 92nd term of the arithmetic sequence 11, 19, 27,
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Answer:

739

Step-by-step explanation:

a sub 92 = 11 + (92 - 1) * 8

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a sub 92 = 739

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3 years ago
What is 91/22 in decimal?
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