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:
a. ∠AMB, ∠BMC
b. ∠BMC, ∠CMD
Step-by-step explanation:
supplementary=angles add up to 180°
Complementary=angles add up to 90°
Answer:
7 x = -35
Step-by-step explanation:
Which equation results from adding the equations in this system? 11 x minus 3 y = -17. Negative 4 x + 3 y = - 18.
- 7 x = negative 35
- 7 x = 35
7 x = negative 35
7 x = 35
In this problem we need to add the equations below i.e.
11x-3y = -17 and -4x+3y=-18
Adding both equations,
11x-3y+(-4x)+3y = -17+(-18)
7x= -35
or
7 x = negative 35
Hence, the correct option is (c).
Answer:
I can not tell what the graphs are but you would set up a table and plug it into the x value to calculate the y value
Step-by-step explanation:
____x_________y_______
3 !
2 !
1
0
-1
-2
-3
this is assuming that your brackets would be a straight lines which would be an absolute value
if this is the case, then no matter what the answer for y is . . .Y would always be a positive number with the exception of the 3 or the negative three that would result in a 0 value
I hope this helps
