Step-by-step explanation:
1) The area of rectangle is ( 30x²y + 20xy ) cm² and its breadth is 10xy cm .Find its length....
= Solution ,
Length ( L ) = ?
breadth ( b ) = 10xy cm
area ( a ) = ( 30x² + 20xy )
Now ,
area ( a ) = l × b
or, ( 30x²y + 20xy ) = L × 10xy cm



2) Subtract the quotient when 20x⁴y² is divided by 5x³y from the product of 2x and 3y.
= Solution,


The product of 3x and 4y = 6xy
= 6x - 4xy

hope it helped !!!!
Answer:
21 inches.
Step-by-step explanation:
From the question, we are given the following parameters or data or information: The legs of the triangles are 10 inches and 17 inches, perimeter of the rectangle is 146 units and length of the base for both triangles is 16 inches long.
Step one: the first step to do in this question is to determine or Calculate the value for the height of the smaller triangle.
Thus, 10^2 = (16/2)^2 + (b1)^2.
b1 = √ (100 - 64) = √ 36 = 6.
Step two: the second step to do in this question is to determine or Calculate the value for the height of the bigger triangle.
17^2 = (16/2)^2 + (b2)^2.
b2 = √ (289 - 64) = √ 225 = 15.
Step three: this is the lat step and it involves the addition of our values in step one and two above, that is;
6 + 15 = 21.
Thus, length of the kite’s other diagonal = 21 inches.
Time of the 20 to the x then get 420
Answer:
69.1% of the woman spend less than $160
Step-by-step explanation:
Assuming that the random variable X= spend on beauty products by women during summer months distributes normally , then using the standarized variable Z:
Z= (X - mean / st. dev) = (160.00-146 )/28 = 0.5
then using normal probability tables for Z:
P(X<160)=P(Z<0.5) = 0.691 (69.1%)
thus 69.1% of the woman spend less than $160