Answer:
- Length = 43 inches
- Width = 12 inches
Step-by-step explanation:
Perimeter of a rectangle = 2 * ( L + W)
The length of a rectangle is 5 inches less than 4 times the width.
Assume the width is x. Length is:
4x - 5
Equation is therefore:
2 * (4x - 5 + x) = 110
4x - 5 + x = 110/2
5x - 5 = 55
5x = 55 + 5
x = 60/5
x = 12 inches
If width is 12 inches, then length is:
= 4x - 5
= 4 * 12 -5
= 43 inches
Answer:
The maximum possible error of in measurement of the angle is 
Step-by-step explanation:
From the question we are told that
The angle of elevation is 
The height of the tree is h
The distance from the base is D
h is mathematically represented as
Note : this evaluated using SOHCAHTOA i,e

Generally for small angles the series approximation of 

So given that 


=> 
Now from the question the relative error of height should be at most
%
=> 
=> 
=> 
So for 

substituting values
![d [\frac{\pi}{12} ] = \pm \frac{[\frac{\pi}{12} ] + \frac{[\frac{\pi}{12} ]^3 }{3} }{1+ [\frac{\pi}{12} ] ^2} * \ p](https://tex.z-dn.net/?f=d%20%5B%5Cfrac%7B%5Cpi%7D%7B12%7D%20%5D%20%20%3D%20%20%5Cpm%20%20%5Cfrac%7B%5B%5Cfrac%7B%5Cpi%7D%7B12%7D%20%5D%20%2B%20%20%5Cfrac%7B%5B%5Cfrac%7B%5Cpi%7D%7B12%7D%20%5D%5E3%20%7D%7B3%7D%20%7D%7B1%2B%20%5B%5Cfrac%7B%5Cpi%7D%7B12%7D%20%5D%20%5E2%7D%20%2A%20%20%20%20%5C%20p)
=> 
Converting to degree


Answer:
3.50$ x 5.5 = 19.25 $
Step-by-step explanation:
Answer:
Marcelle will use 4 plates of the 25 lb & 2 plates of the 5 lb to fabricate the 110 lb weight lifting bar.
Step-by-step explanation:
There are 6 plates which consist of 25 lb plates and 5 lb plates.
We need to figure out how many of each one compose 110 lb.
Thus, 25 x 4 = 100... 4 plates of 25 pounds.
5 x 2 = 10 ... 2 plates of 5 lbs.
100+10= 110, which is our goal! And a total of 6 plates were used!
All things put into great consideration, Marcelle will use 4 plates of the 25 lb & 2 plates of the 5 lb to fabricate the 110 lb weight lifting bar.
I hope this helped!
~ Penny
Answer:
UT is the right angle triangle.
where UV is 8cm
TV:17cm
UV:?
Angle:UTV:60
UT is a right angle triangle