To get the area, the formula is 2l x 2w = a
so the formula will be like this:
(x)(x+x/4)=180
where,
x is the width
x+x/4 is the height
180 is the area
(x)(x+x/4)=180
[4(x)][4(x+x/4)]=180(4) multiply all sides by 4 to remove the fraction
(4x)(4x+x)=720
(4x)(5x)=720 simplify
20x^2=720 multiply 4x and 5x
20x^2=720 get the sq root of both sides
4.47x=26.83 divide by 4.47 to get the value of x
x=6
the width is 6 sq inches
the length is 7.5 sq inches
[(2)(6)][(2)(7.5)]=180
(12)(15)=180
180=180
Answer:
33°
Step-by-step explanation:
Complementary angles add up to 90°
If we set the other angle as ∠K,
m∠M + m∠K = 90°
57° + m∠K = 90°
m∠K = 33°
Thus, the other angle would be 33°
Answer:
155
Step-by-step explanation:
calculate the areas of 2 rectangles
method A
one rectangle with lengths 8 and 10
the other 15 and 5
so 8x10 + 15x5 = 80 + 75 = 155
method B
one traingle with lenghts 5 and 7
the other 15 and 8
so 15x8 + 5x7 = 120 + 35 = 155
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 The pantograph is now obsolete and has been replaced by several different ways of producing duplicates such as photocopying, mass printing, and digital filing.
