Answer:
length=53 in
width= 23 in
Step-by-step explanation:
First, we know that each corner has now a square of 6 in long, so the heigth of the box will be of this size (as you can see in the picture attached). Then, the length and the width of the box would be the same as the piece, but with 12 in less. Therefore the equations to solve the problem are:

We factorize the 6 and we get:

Finally we solve for x, and we get the initial dimensions of the piece of metal:


The interest in the first month is given as $ 97.1. The principal balance in the second question is $15,030.02
<h3>How to solve for the interest in the first month</h3>
1. We have to solve for the cost of the car
This would be = 19,725*(1.0475)
= 20,661.9375
There is a Down payment = 2,175
balance would be 20661.9375-2,175 = 18,486.94
average rating interest of new car = 6.30%
So the interest accrued in first month = 18,486.94x0.063/12 = $ 97.1
2. cost = 15867
sales tax = 5.25%
10 percent down payment
5.25/100 = 0.0525
cost of car = 15867 + (15867 * 0.0525)
= 16700 dollars
10% of 16700 dollars
= 1670 dollars
principal balance = 16700 - 1670
= $15,030.02
Read more on interest rate here
brainly.com/question/25793394
Answer:
m∠ACD = 40°
Step-by-step explanation:
(4x + 2) + (6x - 12) = 8x,
10x - 10 = 8x,
2x = 10,
x = 5
8(5) = 40°
Answer: (27, 9)
Multiply the original coordinates by the scale factor 3 to get this answer
9*3 = 27
3*3 = 9
This only works if the center of dilation is the origin.
The general rule is
where k is the scale factor.
ANSWER

EXPLANATION
The dimensions of a matrix is of the form:

The dimensions of the first matrix is

The dimensions of the second matrix is

Since the inner products are the same,the outer products give the dimensions of the product of the two matrices.

Therefore the dimensions of the product is a 2×2 matrix.