Answer:p = 28.36
q = 31.78
Step-by-step explanation:
Considering the smaller right angle triangle, with 50° as the reference angle, the opposite side is q and the adjacent side is 55 - p
Applying the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side
Tan 50 = q/(55 - p)
1.1918(55 - p) = q - - - - - - - - - 1
Considering the bigger right angle triangle, with 30° as the reference angle, the opposite side is q and the adjacent side is 55
Applying the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side
Tan 30 = q/55
0.5774 = q/55
q = 55 × 0.5774
q = 31.757
Substituting q = 31.757 into equation 1, it becomes
1.1918(55 - p) = 31.757
65.549 - 1.1918p = 31.757
1.1918p = 65.549 - 31.757
1.1918p = 33.792
p = 33.792/1.1918
p = 28.36
Answer: 33% is moisture content
Step-by-step explanation:
120kg - 80kg = 40kg
40 of 120 is %
Work:
40/120 = 0.33
0.33x100
= 33%
Answer:
The cross section of a hexagonal pyramid from a vertical slice would be a triangle. If you slice the hexagonal pyramid vertically and straight in the middle, you would see a triangle.
There's literally unlimited answers but here are some simple ones.
5 x 11 = 55
55 = 55
55 > 54
1 < 55
3 x 2 < 55
Answer:
$20
Step-by-step explanation:
Since we are talking about the unknown cost of a shirt AND a sweater, we are dealing with 2 unknowns. However, we can only have one unknown in a single equation or we cannot solve it. The cost of the sweater is based on the cost of the shirt, so the shirt will be our "main" unknown.
Cost of the shirt: x
Since the sweater is $5 more than (this is addition) twice (that is 2 times) the cost of the shirt, the expression for the sweater is 2x + 5
The cost of both is (equals) 65.
x + 2x + 5 = 65 and
3x + 5 = 65 and
3x = 60 so
x = 20
The shirt cost $20 so the sweater had to cost 65 - 20 = 45
