Answer:
A. v = 19√3.
B. u = 38.
Step-by-step explanation:
The following data were obtained from the question:
Angle θ = 60°
Adjacent = 19
Opposite = v
Hypothenus = u
A. Determination of the value of 'v'
The value of v can be obtained by using Tan ratio as shown below:
Angle θ = 60°
Adjacent = 19
Opposite = v
Tan θ = Opposite /Adjacent
Tan 60 = v/19
Cross multiply
v = 19 × Tan 60
Tan 60 = √3
v = 19 × √3
v = 19√3
Therefore, the value of v is 19√3
B. Determination of the value of 'u'
The value of u can be obtained by using cosine ratio as shown below:
Angle θ = 60°
Adjacent = 19
Hypothenus = u
Cos θ = Adjacent /Hypothenus
Cos 60 = 19/u
Cos 60 = 1/2
1/2 = 19/u
Cross multiply
u = 2 × 19
u = 38
Therefore, the value of u is 38.
2 = X = -1
2
2. 2(4x+2) - (x-4) = 3(x+2)
Expand tge expression
= 8x + 4 -x +4 = 3x + 6
CLT ( Combine like terms)
= 7x + 8 = 3x + 6
Rearrange the terms
7x - 3x = 6 - 8
CLT
4x = -2
Divide both sides by 4
x = -2
4
x = -1
2
Answer:
Step-by-step explanation:
Alright, lets get started.
There are approximately 
mosquitoes near each backyard pool.
The city has total number of pools 
.
So the total mosquitoes will be : 
So the total mosquitoes will be : 
So the total mosquitoes will be : 
: Answer
Hope it will help :)
Answer:
28
Step-by-step explanation:
Answer:
EG = 2 units
Step-by-step explanation:
Given that line q bisects EG at T , then
ET = TG ( substitute values )
x = x - 2 ( multiply through by 3 to clear the fraction )
x = 3x - 6 ( subtract x from both sides )
0 = 2x - 6 ( add 6 to both sides )
6 = 2x ( divide both sides by 2 )
3 = x
Then
ET = x = × 3 = 1
TG = x - 2 = 3 - 2 = 1
Thus
EG = ET + TG = 1 + 1 = 2 units
