Answer:
8.95feet
Step-by-step explanation:
The set up is a right angled triangle where;
The camera's horizontal distance from the focus point = 26feet = Adjacent;
The height of the camera above the floor = Opposite = x
Angle of elevation = 19°
According to TOA in trig identity;
Tan theta = opp/adj
Tan 19 = x/26
x = 26tan 19
x = 26(0.3443)
X = 8.95feet
Hence the camera is placed at a height of 8.95feet above the floor
Answer:
E = 58
F = 32
G = 90
Step-by-step explanation:
3x + 31 + 5x -13 + 90 = 180
3x + 31 + 5x -13 = 90
8x = 90 - 31 + 13
8x = 72
x = 72 / 8
x = 9
E = 3(9) + 31 = 27+31 = 58
F = 5(9)-13 = 45 - 13 = 32
G = 90
The inclusion/exclusion principle states that

That is, the union has as many members as the sum of the number of members of the individual sets, minus the number of elements contained in both sets (to avoid double-counting).
Therefore,

will have the most elements when the sets

and

are disjoint, i.e.

, which would mean the most we can can in this case would be

(Note that

denotes the cardinality of the set

.)
Step-by-step explanation:
☄ 
- Length ( l ) = 4 cm
- Width ( w ) = 2 cm
- Height ( h ) = 5 cm
☄ 
- Total surface area of a cuboid
❅
✑ 
Plug the known values :
⟼ 
⟼ 
⟼ 

Hope I helped !♡
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Answer:
Option B. 7.6
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
where
k is the constant of proportionality
The slope of the linear equation is the same that the constant of proportionality
In this problem we have

so
the slope is 
therefore
The constant of proportionality k is 