General Idea:


Conclusion:
Amount of interest that Lucy to be charged in a typical month is <u>$9.75</u>
Given : In Right triangle ABC, AC=6 cm, BC=8 cm.Point M and N belong to AB so that AM:MN:NB=1:2.5:1.5.
To find : Area (ΔMNC)
Solution: In Δ ABC, right angled at C,
AC= 6 cm, BC= 8 cm
Using pythagoras theorem
AB² =AC²+ BC²
=6²+8²
= 36 + 64
→AB² =100
→AB² =10²
→AB =10
Also, AM:MN:NB=1:2.5:1.5
Then AM, MN, NB are k, 2.5 k, 1.5 k.
→2.5 k + k+1.5 k= 10
→ 5 k =10
Dividing both sides by 2, we get
→ k =2
MN=2.5×2=5 cm, NB=1.5×2=3 cm, AM=2 cm
As Δ ACB and ΔMNC are similar by SAS.
So when triangles are similar , their sides are proportional and ratio of their areas is equal to square of their corresponding sides.
![\frac{Ar(ACB)}{Ar(MNC)}=[\frac{10}{5}]^{2}](https://tex.z-dn.net/?f=%5Cfrac%7BAr%28ACB%29%7D%7BAr%28MNC%29%7D%3D%5B%5Cfrac%7B10%7D%7B5%7D%5D%5E%7B2%7D)

But Area (ΔACB)=1/2×6×8= 24 cm²[ACB is a right angled triangle]

→ Area(ΔMNC)=24÷4
→Area(ΔMNC)=6 cm²
The mean that the library and calculated is not correct. Her mistake was she divided 55 by 8 instead of dividing by 10.
Please see the attached picture for the work in finding the correct mean of 5.5 books.
→ Area of rectangle = Length * Width
Here given:
Here area:
Answer:
12.5/8 or 1 4.5/8 so the simplified answer could be 1 2.25/4
Step-by-step explanation:
multiply 5/8 by 2.5 becuase 2x2.5=5
so you want to get 5/5 for a full hour
5x2.5=12.5 and keep the donominator the same
then simplify so 1 4.5/8
please mark brainliest:D