PV = 8 VT = 4√3
Step-by-step explanation:
Given
PT = 4
With reference angle 30°
perpendicular (p) = 4
hypotenuse (h) = ?
sin 30° = p/h
1/ 2 = 4 / h
cross multiply
h = 8
with reference angle 60°
perpendicular (p) = ?
hypotenuse (h) = 8
sin 60° = p/h
√3 / 2 = p / 8
Cross multiply
2p = √3 * 8
p = 4 √3
Answer:
let 3:2 be 3x& 2x
perimeter =40
2(l+b)=40
2(3x+2x)=40
5x=40/2
x=20/5=4cm
length=3x=3×x=3×4=12cm
breadth =2x=2×4=8cm
area of rectangle =l×b=12×8=96cm²
Answer:
x<100
Step-by-step explanation:
The given equation is :
x-19<81
Adding 19 to both sides of the equation.
x-19+19<81+19
x<100
It means the solution of the given equation is less than 100. Hence, the attached figure shows the graph for the given equation.