Answer:
<u>$25</u>
Step-by-step explanation:
Let her monthly allowance be M.
=> M x 16% = 4
=> M = 4 x 25 / 4
=> M = 25
Maggie's monthly allowance is <u>$25</u>
Answer:
$ 530.5
Step-by-step explanation:
Income = $415 + Commission
Sonia made sales of $2,200. This means she will earn 5.25% of 2,200 as commission.
5.25% of 2200= 0.0525 x 2200 = 5.25 x 22 = $ 115.5
Therefore, total income of Sonia would be:
Total income = $ 415+ $ 115.5 = $ 530.5
Answer:
The perimeter of a parallelogram is 42 cm.
Step-by-step explanation:
The area of a parallelogram is 72 cm².
The formula for area of a parallelogram is

It is given that the distances between the point of intersection of the diagonals and the sides are 3 cm and 4 cm.
The distance between point of intersection of the diagonals and the opposite sides are same.




The measure of a side is 12 cm.




The measure of another side is 9 cm.
The perimeter of a parallelogram is

Therefore the perimeter of a parallelogram is 42 cm.
32+2+24=58
63+5=68
Maybe the next number is 78?
Step-by-step explanation:
To prove :
( 1 - sin x ) ( 1 + sin x ) = sec² x
LHS : -
( 1 - sin x ) ( 1 + sin x )
Formula / Identity : -
( a - b ) ( a + b ) = a² - b²
Here,
a = 1
b = sin x
( 1 - sin x ) ( 1 + sin x )
= 1 - sin² x
Identify : -
sin² θ + cos² θ = 1
cos² θ = 1 - sin² θ
Similarly,
1 - sin² x
= cos² x
= RHS
Hence verified.