Answer:
The shoe factory would make approximately 2 x 10^6 pairs of shoes in 10 years.
Step-by-step explanation:
given:
1.81 × 10^4 pairs of shoes each month
There are 1.2 × 10^2 months in 10 years
find;
Estimate how many pairs of shoes the factory will produce if it maintains that rate for 10 years.
Multiply the number pairs produces each moth to 10 years
1.81 × 10^4 * 1.2 × 10^2
estimated coefficient is given as 1.81 ≅ 2 and 1.2 ≅ 1
2 × 10^4 * 1 × 10^2
Multiply the coefficient
2 x 1 = 2
Add the exponent
10 ^ ( 4+2) = 10^6
combined the two results
2 x 10^6
therefore,
The shoe factory would make approximately 2 x 10^6 pairs of shoes in 10 years.
Answer:
A rectangular lot is 100 meters wide and 150 meters long.Give the length and width of another rectangular lot that has the same perimeter but a smaller area.
The rectangular lot is having length of 170 meters and width of 80 meters.
Step-by-step explanation:
Given:
A rectangle.
Length of the rectangle = 150 meters
Width of the rectangle =100 meters
So perimeter of this rectangle = 2 (width+ length)
And area of this rectangle =(width)(length)
- Perimeter =
![2(w+l)](https://tex.z-dn.net/?f=2%28w%2Bl%29)
= ![2(150+100)](https://tex.z-dn.net/?f=2%28150%2B100%29)
=
meters.
- Area =
![2(w)(l)](https://tex.z-dn.net/?f=2%28w%29%28l%29)
= ![2\times 100\times 150](https://tex.z-dn.net/?f=2%5Ctimes%20100%5Ctimes%20150)
=
square meters.
Now we have to find an another rectangular lot which has the same perimeter but different area.
Note: Subtract 20 m from the width and add 20m length into the longer side. (We can try with another multiple of 10).
So,
The new width = 100-20 = 80 meters.
And the new length =150+20 = 170 meters.
Lets check the perimeter and its area.
The perimeter must be equivalent to 500 meters and its area be less than 30000 sq-meters.
- Perimeter =
![2(w+l)](https://tex.z-dn.net/?f=2%28w%2Bl%29)
= ![2(80+170)](https://tex.z-dn.net/?f=2%2880%2B170%29)
=
meters.
- Area =
![(w)(l)](https://tex.z-dn.net/?f=%28w%29%28l%29)
= ![(80)(170)](https://tex.z-dn.net/?f=%2880%29%28170%29)
=
square meters.
Hence the rectangular lot with length 170 m and with 80 m proves to have same perimeter and smaller area.
I can't really do the "show your work" part as well on a computer, but I'll do my best.
(a) $14.94 (2.49*6=14.94)
(b) $18.75 (150/8=18.75)
(c) $17.59 ($164.94 in total. So 182.53-164.94=17.59)
Hope this helps.
B-35 degrees because the mound is having an 18 cm radius<span />