Answer:
There are three major trignometric ratios in mathematics and they are:
sine(sin), cosine(cos) and tangent(tan). A popular acronym is used in recalling the formula for each ratio and it is: SOH-CAH-TOA.
Sine(x) = Opp/Hyp
Cosine(x) = Adj/Hyp
Tangent(x) = Opp/Adj
Now, the Hyp is the hypothenus of the triangle and it is the side opposite to angle 90. The opposite and adjacent is kind of relative depending on the angle been considered. For this case, we are considering angle 30 which the opposite side is 60 and the remaining side becomes the adjacent
Step-by-step explanation:
tan 30 = 60/x
Answer:
the length of the thread remaining is 790 cm
Step-by-step explanation:
Given;
original length of the thread, L₀ = 10 m = 1000 cm
the length of the thread used, L₁ = 210 cm
The length of the thread remaining is calculated as follows;
ΔL = L₀ - L₁
ΔL = 1000 cm - 210 cm
ΔL = 790 cm
Therefore, the length of the thread remaining is 790 cm
Here we go ~
The air plane descends 15 feels every 1.45 seconds, so it's unit rate is :
Now we have to calculate the descent in 3.5 minutes ~
So, the airplane descends 2172.41 feels in three and a half minutes ~
Given that the area is equal to twice the perimeter and the dimensions are:
length=4x ft, width=(x+6) ft
the perimeter will be:
P=2(L+W)
P=2(4x+(x+6))
P=2(4x+x+6)
P=2(5x+6)
P=(10x+12)
Area of the rectangle is:
A=4x(x+6)
A=4x²+24x
but:
2P=A
thus
2(10x+12)=4x²+24x
20x+24=4x²+24x
thus
4x²+4x-24=0
x²+x-6=0
x²-2x+3x-6=0
x(x-2)+3(x-2)=0
(x-2)(x+3)=0
thus the answer is:
x=-3 or x=2
thus
length=4x=4*2=8 ft
width=(x+6)=(2+6)=8 ft
