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
height = h
tan 24° 10' = h/120 + a
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
Equation R: -3y = -3x - 9
Equation S: y = x + 3
Replace y in Equation R with equation S:
-3(x+3) = -3x - 9
Use distributive property:
-3x -9 = -3x -9
Because both sides of the equation are identical x can be any number and they would still be equal.
This means there are Infinite solutions.
Answer:
Pia
Step-by-step explanation:
The smaller the number of pencils in a bundle the greater the number of bundles.
For example if the number of pencils each has is 60,
Then the number of bundles for Pia = 60/10 = 6,
and ...................................................Gauri = 60/12 = 5,
and .....................................................Yasmin = 60/20 = 3.
Answer:
I am think so opction (C).....
Answer:
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Step-by-step explanation:
