Ok,
First, you have to make the measurements in feet. 24 yards = 72 feet
Then do 72 x 81 = 5832 square feet
Then,
First, you have to make the measurements in yards. 81 feet = 27 yards
Then do 24 x 27 = 648 square yards
Hope this helps :D
The area of standard stop sign regular octagon is 742.3 squared inches, if the standard stop sign has a 16.2 inch radius.
Step-by-step explanation:
The given is,
Radius of standard stop sign is 16.2 inch radius
Step:1
The regular octagon is equal to the 16 right angled triangle,
Angle of right angle triangle =
= 22.5°
Ref attachment,
From the OAB right angle triangle,
Trigonometric ratio,
sin ∅ =
Where, ∅ = 22.5°
Hyp = Radius = 16.2 inches
Ratio becomes,
sin 22.5°= 
b = (0.374607)(16.2)
b = 6.19947 inches
Trigonometric ratio,
cos ∅ =
Where, ∅ = 22.5°
Hyp = Radius = 16.2 inches
Adj = h
Ratio becomes,
cos 22.5°= 
h = (0.9238795)(16.2)
h = 14.967 inches
Step:2
From the triangle OAC,
Area, 
Where, Height = 14.967 inches
Base = b + x = 6.19947 + 6.19947
= 12.3989 inches
From the values equation becomes,
A = 
A = 92.7875 Squared inches
Step:3
The octagon is equal to sum of 8 triangles
Area of octagon = 8 × Area of triangle
= 8 × 92.7875
= 742.3 squared inches
Result:
The area of standard stop sign regular octagon is 742.3 squared inches, if the standard stop sign has a 16.2 inch radius.
<h2>
Answer:</h2>
Luke does a work of 308Nm
<h2>
Step-by-step explanation:</h2>
If we have a constant force
that acts on a body in the same direction as the displacement
, then the work
is defined as the product of the force magnitude
and the displacement magnitude
. In other words:
, which is valid for a constant force in direction of straight-line displacement.
In this problem:

Therefore:

Answer:
Tom’s age is 7 years
Mary’s age is 13 years
Step-by-step explanation:
Since we do not know the ages, let’s represent the ages by variables at first.
Let m represent mary’s age will t represent Tom’s age.
Now, let’s proceed to have equations.
Adding square of Tom’s age (t^2) to mary’s age give 62
t^2 + m = 62 •••••••(i)
Adding square of mary’s age (m^2) to Tom’s age give 176
m^2 + t = 176 •••••••(ii)
Now, to get the individual ages, we will need to solve both equations simultaneously.
Solving both equations simultaneously without mathematical softwares can be a little hard.
By the use of mathematical software ( wolfram alpha to be specific), we can input both equations and allow the software to solve.
By inputing these equations, we have the values of t to be 7 and m to be 13
And if we try to check by inspection, we can see that these values are actually correct.
7^2 + 13 = 62
13^2 + 7 = 176
Answer:
4
Step-by-step explanation:
Root(48)/Root(3)
= root(48/3)
= root(16)
=4