Answer:
tan56°
Step-by-step explanation:
The Addition identity for tangent ratio is
tan(x + y) =
, thus
= tan(24 + 32)° = tan56°
Answer:
[0, 7]
Step-by-step explanation:
We want the height to be greater than or equal to 32 ft, so ...
704 +16t -16t^2 ≥ 32
t^2 -t -42 ≤ 0 . . . . . . . . . . . subtract 32, divide by -16
(t -7)(t +6) ≤ 0
This inequality will be true for values of t between -6 and +7. Since we're only concerned with times t ≥ 0, the appropriate solution interval is ...
0 ≤ t ≤ 7 . . . . [0, 7] in interval notation
Parallel lines have the same slope, in this case 3.
To find the y intercept we plug in the points (2,1) into y=mx+b, with 2 being x and 1 being y.
1=3(2) + b
Solve this and you get -5 as the y intercept.
The equation is y=3x-5
Answer:

For further explanation see the picture attached...
Answer:
11/4+3/6 =13/4or 3 1/4
Step-by-step explanation:
(11*6) + (3*4)
4*6
78/24
78/6=13
24/6=4
13/4 or 3 1/4
13/4=3 1/4