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Irina-Kira [14]
3 years ago
6

The green shape is a dilation Of the black shape. What is the scale factor of the dilation?

Mathematics
1 answer:
Marrrta [24]3 years ago
4 0
Sorry I’m not smart but if I’m not wrong I think it’s 3/15...
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A box with no top is to be constructed from a piece of cardboard whose length measures 12 inches more than its width. The box is
MAXImum [283]

Answer:

Width is 12 inches and height is 4 inches.

Step-by-step explanation:

Let the width of the piece of cardboard be = w inches

Then length is = w+12 inches

As given, 4 inch squares are cut from each corner;

So, the width is = w-8 inches

Length is = w+12-8=w+4 inches

When we are folding the cut portion, that gives the height as = 4 inches

The volume is given by : length x width x height

And volume is given as 256 cubic inches

So, 256=(w+4)(w-8)(4)

=> 256=(w^{2}-4w-32)4

=> 64=(w^{2}-4w-32)

=> w^{2} -4w=96

or w^{2} -4w-96=0

=> w^{2} -12w+8w-96=0

=> w(w-12)+8(w-12)=0

We get , (w+8)=0 ; w = -8(neglect the negative value)

(w-12)=0 ; w = 12 inches

And length = 12+12=24 inches

Hence, dimensions are : L = 24 inches ; w = 12 inches and h = 4 inches

We can check by putting these values in equation : 256=(w+4)(w-8)(4)

256=(12+4)(12-8)(4)

=> 256=(16)(4)(4)

=> 256=256

5 0
3 years ago
2,550 gallons in 30 days i wish if you plz explain it.
e-lub [12.9K]

Answer:

multiply 2,550 gallons to 30 and you will have your answer

3 0
2 years ago
Read 2 more answers
A basketball court is being painted. The entire section below will be painted blue. Determine how many square feet of paint will
earnstyle [38]
Answer:

145.12 ft squared will be painted blue.
So the answer is B.

Explanation:

The area of the rectangle is 120 ft2 because 8 ft x 15 ft = 120 ft2

The area of the semi-circle is
because 3.14 x 4 (the radius) squared (or 16) is 50.24, then you divide it by 2 since it’s a semi-circle. 50.24 divided by 2 is 25.12.

Then you add the areas:

120 ft squared + 25.12 ft squared = 145.12 ft squared
6 0
2 years ago
Hello, I need help. Just answers
rodikova [14]
Me too maybe b I just need some answers
8 0
1 year ago
18.) Which expression is equivalent to -6x + 7.5?
nydimaria [60]

Answer:

D

hope this helped:)

4 0
2 years ago
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