Answer:
![length=4\ cm\\width=6\ cm](https://tex.z-dn.net/?f=length%3D4%5C%20cm%5C%5Cwidth%3D6%5C%20cm)
Step-by-step explanation:
Given the rectangular poster shown in the picture, you know that its dimensions (its width and its lenght) are:
![w_1=24\ cm\\l_1=16\ cm](https://tex.z-dn.net/?f=w_1%3D24%5C%20cm%5C%5Cl_1%3D16%5C%20cm)
In order to calculate the dimensions of the rectangular at
times its current size, you need to multiply the original lenght by
and multiply the original width by
.
Knowing this, you get:
![w_2=w_1\frac{1}{4}\\\\w_2=(24\ cm)(\frac{1}{4})\\\\w_2=6\ cm\\\\\\l_2=l_1\frac{1}{4}\\\\l_2=(16\ cm)(\frac{1}{4})\\\\l_2=4\ cm](https://tex.z-dn.net/?f=w_2%3Dw_1%5Cfrac%7B1%7D%7B4%7D%5C%5C%5C%5Cw_2%3D%2824%5C%20cm%29%28%5Cfrac%7B1%7D%7B4%7D%29%5C%5C%5C%5Cw_2%3D6%5C%20cm%5C%5C%5C%5C%5C%5Cl_2%3Dl_1%5Cfrac%7B1%7D%7B4%7D%5C%5C%5C%5Cl_2%3D%2816%5C%20cm%29%28%5Cfrac%7B1%7D%7B4%7D%29%5C%5C%5C%5Cl_2%3D4%5C%20cm)
Answer:
The correct answer is A.
Step-by-step explanation:
The area of a rectangle can be calculated using the following formula:
![Ar=W . I](https://tex.z-dn.net/?f=Ar%3DW%20.%20I%20)
If we know that the area measures
and one side of the figure measures 4.2 m, we can say that:
![37.8m^{2}=4.2m. I](https://tex.z-dn.net/?f=37.8m%5E%7B2%7D%3D4.2m.%20I)
We isolate the side we don't know:
![\frac{37.8m^{2}}{4.2m} = I\\9 m = I](https://tex.z-dn.net/?f=%5Cfrac%7B37.8m%5E%7B2%7D%7D%7B4.2m%7D%20%3D%20I%5C%5C9%20m%20%3D%20I)
So I = 9 m
To know the perimter of a rectangle, we use the following formula:
![P= I. 2 + W . 2](https://tex.z-dn.net/?f=P%3D%20I.%202%20%2B%20W%20.%202)
![P= 9m. 2 + 4.2m. 2](https://tex.z-dn.net/?f=P%3D%209m.%202%20%2B%204.2m.%202)
![P= 26.4 m](https://tex.z-dn.net/?f=P%3D%2026.4%20m)
Answer:
572.3
Step-by-step explanation:
Diameter = 27m
Radius = d / 2 = 27 / 2 = 13.5m
Area = pi x r²
= 3.14 x (13.5)²
= 3.14 × 182.25
= 572.3
To find the simple interest, we multiply 600 × 0.04 × 1.5 to get that:
The interest is: $36.00
Answer:
![\Huge \boxed{X](https://tex.z-dn.net/?f=%5CHuge%20%5Cboxed%7BX%3C12%7D)
Step-by-step explanation:
To solve this problem, first you have to isolate it on one side of the equation. Remember to solve this problem, find represents the solution of 5(x+5)<85.
First, you divide by 5 from both sides.
![\displaystyle \frac{5(x+5)}{5}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B5%28x%2B5%29%7D%7B5%7D%3C%5Cfrac%7B85%7D%7B5%7D)
Solve.
![\displaystyle 85\div5=17](https://tex.z-dn.net/?f=%5Cdisplaystyle%2085%5Cdiv5%3D17)
![\displaystyle x+5](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%2B5%3C17)
Next, subtract 5 from both sides.
![\displaystyle x+5-5](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%2B5-5%3C17-5)
Solve.
![\displaystyle 17-5=12](https://tex.z-dn.net/?f=%5Cdisplaystyle%2017-5%3D12)
As a result, the correct answer is x<12.
<h2>Hope this helps! </h2><h2 /><h2>Have a wonderful blessing day! :)</h2><h2 /><h2>Good luck! :)</h2>