Answer:
1. The pin’s location aids to create two drawings simultaneously. This is that while drawing an image, a copy, which may vary in size, is created at the same time.
2. The pantograph relates to dilation and similarity due to the use of similar triangles that affect the scale of the second drawing.
3. The use of similar triangles illustrates the process of the pantograph because the ratio of similitude is set when determining where to place the pin. When a triangle is moved while tracing a line, along with the outline of the image, an enlarged/reduced version of the image is created by the other pantograph's end.
4. The pantograph is now obsolete and has been replaced by several different ways of producing duplicates such as photocopying, mass printing, and digital filing.
The original price of the shirt is. 25.20
Explanation:
0.4 x 18.00= 7.20
7.20 + 18.00= 25.20
Answer: x^2+2x-8<0
Step-by-step explanation:
A. x^2 - 2x - 8 < 0
(x - 4)(x + 2) < 0
B. x^2 + 2x - 8 < 0
(x + 4)(x - 2) < 0
C. x^2 - 2x - 8 > 0
(x - 4)(x - 2) > 0
D. x^2 + 2x - 8 > 0
(x + 4)(x - 2) > 0
When you test a point in the interval between -4 and 2, for example 0, it is negative.
Let x and y be the dimensions of the rectangle. If the perimeter is 40, we have

We can expression one variable in terms of the others as

Since the area is the product of the dimensions, we have

This is a parabola facing down, so it's vertex is the maximum:

So, the maximum is

And since we know that
, we have
as well.
This is actually a well known theorem: out of all the rectangles with given perimeter, the one with the greatest area is the square.
Answer:
0.1x+0.15(50-x)= 50*0.12
Step-by-step explanation:
50 ml of 12% solution has 50*0.12 ml of alcohol
x ml of 10% solution has x*0.1 ml of alcohol
(50-x) ml of 15% solution has (50-x)*0.15 ml of alcohol
The equation to solve is: