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dezoksy [38]
3 years ago
6

Write 140 as the product of its prime factors.

Mathematics
2 answers:
AlekseyPX3 years ago
7 0

Answer:

sdfjkljkhjgdfsfghjukilo;'


Step-by-step explanation:


Romashka-Z-Leto [24]3 years ago
6 0
140:\bold{2}=70\\\\70:\bold{2}=35\\\\35:\bold{5}=7\\\\7:\bold{7}=\underline{1}

so:

140=2\cdot2\cdot5\cdot7=\boxed{2^2\cdot5\cdot7}
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Read 2 more answers
The angle of elevation to the top of a water tower from point A on the ground is 19.9°. From point B, 50.0 feet closer to the to
zepelin [54]

Answer:

Answer in terms of a trigonometric function :

h = \frac{20tan(19.9)}{0.4-tan(19.9)}

Answer in figures

h = 190.5 feet

Step-by-step explanation:

Consider the sketch attached below to better understand the problem.

Let x be the distance between point B and the base of the water tower.

tan (19.9)=\frac{h}{50+x} ---------------equation 1\\

tan (21.8)=\frac{h}{x}----------------equation 2

From equation 2,

x =\frac{h}{tan21.8}=\frac{h}{0.4}

substituting the value of x into equation 1, we get

tan (19.9)=\frac{h}{50+(\frac{h}{0.4} )}

tan 19.9=h\times \frac{0.4}{20+h}

cross multiplying,

20\times tan(19.9) +htan(19.9)=0.4h

20tan(19.9)= h(0.4-tan(19.9))

h= \frac{20tan (19.9)}{0.4-tan (19.9)}

The height of the tower is h= \frac{20tan (19.9)}{0.4-tan (19.9)} in terms of the trig function "Tan"

The equation can simply be evaluated to get the answer in figures since the angles are given in the question

5 0
3 years ago
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