Answer:
Option (A)
Step-by-step explanation:
It has been given in this question that sign telling path has a 2% grade.
2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).
All the trigonometric ratios for the angle θ between the path and the horizontal are,
Sinθ = 
Cosθ = 
tanθ = 
Since measures of the opposite side and adjacent sides are given
Therefore, tangent ratio will be applied to get the measure of the angle,
tanθ = 
θ = 
Option (A) will be the answer.
Given :
A water well rig has dug to a height , H = 60 feet after one full day of continuous use .
To Find :
If the height is currently 143.6 feet how time it been running .
Solution :
It is given that height after 24 hours of use is 60 feet .
So , height loose in 1 hours is :
Now , time taken to cover a height of 143.6 feet is :
Therefore , time taken is 57.44 hours .
Hence , this is the required solution .
Answer:
Perimeter = (lenght×2) + (width×2)
Perimeter = (2.5n×2) + (2×(4n+5))
Perimeter = 5n + 8n + 10
Perimeter = 13n + 10
The Answer is D
Answer:
12 years and 16 years
Step-by-step explanation:
their ages are in the ratio 3 : 4
let Anjali = 3x and Aditya = 4x ← present ages
In 8 years then
Anjali = 3x + 8 and Aditya = 4x + 8, hence
3x + 8 + 4x + 8 = 44 ← sum of their ages in 8 years
7x + 16 = 44 ( subtract 16 from both sides )
7x = 28 ( divide both sides by 7 )
x = 4
Anjali is 3x = 3 × 4 = 12 years old and Aditya = 4x = 4 × 4 = 16 years old
Answer:
202.5cm^2
Step-by-step explanation:
P=2l+2w
63=2(9)+2w
63=18+2w
63-18=2w
45=2w
divide both sides by 2
22.5=w
check:
P=2(9)+2(22.5)
=18+45
=63
Area=l×w
=22.5×9
=202.5cm²
