Answer:
Step-by-step explanation:
you could create an equation which would be 288= 90 + 20(x)
x = the amount of days needed
answer would be 10 days
Answer:
90 degrees
Step-by-step explanation:
x= 90° angle of the right triangle
So, x= 90 degrees
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
Answer:
1/18
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
Multiples of 3 between 1 - 9 = 3,6,9
Probability of picking a multiple of 9 = total multiples of 9 in the bag / total tiles in the bag
3/9
To transform to the simplest form. divide both the numerator and the denominator by 3
1/3
After picking the multiples of 3, the tiles are not replaced, tiles in the bag would now be 6
Probability of picking 5 = 1/6
1/6 x 1/3 = 1/18
(red, green) add up to 7 = (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1)
(red, green) add up to 11 = (5, 6), (6, 5)
P(add up to either 7 or 11) = 8/36 = 2/9
