Answer:
The longer part is <u>45 cm</u> long and the shorter part is <u>25 cm</u> long.
Step-by-step explanation:
Given:
A 70 cm long stick is cut into two parts in such a way that the longer part is 20 cm longer than the shorter part.
Now, to find the length of each part of the stick.
Let the shorter part be 
So, the longer part is 
Total length of the stick = 70 cm.
Now, to get the length of each part we solve an equation:

<em>The length of the shorter part is 25 cm.</em>
Now, substituting the value of
:

<em>The length of longer part is 45 cm.</em>
Therefore, the longer part is 45 cm long and the shorter part is 25 cm long.
Answer:
Option D is correct
Step-by-step explanation:
The identity matrix is the matrix, in which, the diagonal elements are 1 and all of non-diagonal elements are 0.
Hope this helps!
Answer:
She was wrong in her analysis because the sales discount of 25% is the discount on the original cost of the dress and not the purchasing cost of the dress as explained below:
Step-by-step explanation:
From the question:
Purchasing cost price of the dress = £30
However, this cost (£30) was after a 25% Sales Discount
It, therefore, implies that £30 is equal to 75% of the cost price
75% of the original cost price = £30
100% of the original cost price = (30 x100%)/75%
Original cost price = £40
Therefore the 25% discount / savings on the cost
= £ (40-30)
= £10
She saved £10 by buying the dress at £30 instead of the original cost of £40
Answer:
D. 507 square units
Step-by-step explanation:
surface area of the rectangular pyramid
