Answer:
Length of the final sides: 6 cm and 16 cm
Step-by-step explanation:
The lengths of the sides of the original box are
Later, a piece of tin is cut out from each corner; the piece cut out has the shape of the square: we can call the length of its generic side x. Therefore, the dimensions of the box will now be:
We also know that the area is
And the area can be written as product of length and width, therefore:
So we find:
Solving for x,
Which has two solutions:
x = 13 cm (this is larger than the initial length of the width, therefore we discard it)
x = 2 cm
So, the length of the new sides are
Answer:
One way to check is 102 ÷ 6 = 17 is 100 ÷ 5 = 20.
9514 1404 393
Answer:
(a) 1.2b
(b) 1.4h
(c) A = 1.68bh
(d) 68%
Step-by-step explanation:
(a) If 20% of b is added to b, you have ...
b + 0.20b = 1.2b
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(b) Similarly, if 40% of h is added to h, you have ...
1.4h
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(c) The area of the new rectangle is the product of the new dimensions:
A = (1.2b)(1.4h)
A = 1.68bh
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(d) The original rectangle area is A = bh, so the percentage change can be computed as ...
(A'/A -1)×100% = ((1.68bh)/(bh) -1)×100% = (1.68 -1)×100% = 68%
The given increases in base and height increase the area by 68%.
Answer: y = ¹/₂x + 2
Step-by-step explanation: This is slope-intercept form. y = mx + b
m is the slope. Rise/run
The difference in y-values is the rise. The difference in x-values is the run.
Look for places where the graphed line intersects the grid. Count the squares. Here, the graphed line rises 1 square as it runs 2 squares.
b is the y-intercept. Here, that is 2
Answer:
c
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
DEF should be three times as big as ABC
AB = 5 ; DE = 5 x 3 = 15
AC = 3 ; DF = 3x 3 = 9
BC = 4 ; EF = 4 X 3 = 12
the options that correspond to this is option c
