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goblinko [34]
3 years ago
13

10 2/5 into a improper fraction

Mathematics
2 answers:
Cerrena [4.2K]3 years ago
6 0

Answer:

52/5

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

5 × 10 = 50

Step 2

Add the answer from Step 1 to the numerator

50 + 2 = 52

Step 3

Write answer from Step 2 over the denominator

52/5

Neporo4naja [7]3 years ago
5 0
This would be 52/5,
10 2/5 as an improper fraction is 52/5
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3 years ago
The angle of elevation from a point on the ground to the top of a pyramid is 31 degrees 10​' The angle of elevation from a point
mart [117]

Answer:

h ≈ 209 ft

Step-by-step explanation:

The illustration forms 2 right angle triangle with same height , which is the height of the pyramid.

The first triangle has an unknown adjacent side and height but the angle is 31° 10'. The larger triangle has adjacent side of 120 ft plus the adjacent side of the smaller triangle.

let

the adjacent side of the smaller triangle = a

recall both triangle have same height = h

Therefore,

tan 31° 10' = opposite/adjacent = h/a

tan 31.167 = h/a

h = a tan 31.167

h = 0.6048345941  a

The larger triangle

adjacent side = 120 + a

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convert the minutes to degree

tan 24.167° = h/120 + a

cross multiply

120 + a tan 24.167 = h

120 + a (0.44872570999 ) = h

h = 53.8470851998  + 0.44872570999a

Therefore,

0.6048345941  a  = 53.8470851998  + 0.44872570999a

0.6048345941  a  - 0.44872570999a = 53.8470851998

0.1561094942 a = 53.8470851998

divide both sides by 0.1561094942

a = 53.8470851998 / 0.1561094942

a = 344.931520506

a ≈ 345 ft

The height can be computed as

tan 31.167 = h/a

h = 345 × tan 31.167

h = 345 × 0.6048345941

h = 208.667934967

h ≈ 209 ft

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4 years ago
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