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Free_Kalibri [48]
3 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]3 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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Dennis_Churaev [7]

Answer is 12

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5 0
2 years ago
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What is the factored form of the polynomial?
DENIUS [597]

Answer:

C.  (x + 4)(x + 5).

Step-by-step explanation:

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They are + 5 and + 4 , so

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5 0
3 years ago
What is the unit rate of the proprrional relationship represented by the equation y=3x
NeX [460]

The unit rate of the proportional relationship y = 3x is 3

<h3>How to determine the unit rate?</h3>

The proportional relationship is given as:

y = 3x

Divide both sides by x

y/x = 3

For a proportional relationship y/x = k;

The unit rate is 3

This means that the unit rate of the proportional relationship y = 3x is 3

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6 0
2 years ago
A body travels 10 meters during the first 5 seconds of its travel, and it travels a total of 30 meters over the first 10 seconds
meriva
The answer is 4 m/s.

In the first 5 seconds, a body travelled 10 meters. In the first 10 seconds of the travel, the body travelled a total of 30 meters, which means that in the last 5 seconds, it travelled 20 meters (30m + 10m).
The relation of speed (v), distance (d), and time (t) can be expressed as:
v = d/t

We need to calculate the speed of the second 5 seconds of the travel:
d = 20 m (total 30 meters - first 10 meters)
t = 5 s (time from t = 5 seconds to t = 10 seconds)

Thus:
v = 20m / 5s = 4 m/s
5 0
3 years ago
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Answer:

c

Step-by-step explanation:

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3 years ago
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