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Free_Kalibri [48]
2 years ago
13

Marcus is trying to make a rectangular picture frame from wood. He nails together two 10-inch pieces of wood and two 8-inch piec

es of wood as shown in the diagram. He wants to make sure that the frame is a rectangle, so he measures the diagonal. What must the length of the diagonal be to ensure that the corners of the frame are right angles? I just want to know what formula to use

Mathematics
1 answer:
wariber [46]2 years ago
3 0

Answer:

Step-by-step explanation:

You have right triangles, so use the Pythagorean Theorem

x = length of diagonal

8² + 10² = x²

164 = x²

x = √164 = 2√41 ≅ 12.8 in

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Answer:

2c + 3l ≤ 60

No

Step-by-step explanation:

Let's say you buy c yards of cotton lace and l yards of linen lace. The cotton lace will cost $2 per yard, and for c yards, you have to pay $2 c times, coming to a total of 2*c for the cotton lace. For the linen lace, you'd have to pay 3*l for l yards. The total amount of lace is thus equal to cotton lace cost + linen lace cost = 2c + 3l.

Total amount needs to be less than or equal to 60 (at most 60), so total amount = 2c + 3l ≤ 60

We can then plug our values of cotton and linen lace into our equation

12 yards of cotton lace, 15 yards of linen lace

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2(12) + 3(15) ≤ 60

24 + 45 ≤ 60

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This is false, so you cannot buy these amounts of lace.

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2 years ago
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C

Step-by-step explanation:

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