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Oksanka [162]
4 years ago
15

$abcd$ is a square. how many squares have two or more vertices in the set $\{a, b, c, d\}$?

Mathematics
2 answers:
marshall27 [118]4 years ago
7 0
There are 4 squares having a side corresponding to a side of square abcd.

There are 4 squares having a side corresponding to the diagonals of square abcd.

And then the original square

Therefore, there are 4 + 4 + 1 = 9 squares <span>having two or more vertices in the set {a, b, c, d}.</span>
Vadim26 [7]4 years ago
7 0

Answer:

13

Step-by-step explanation:

There are (4 choose 2) = 6 ways to choose two points P and Q from the set of four points {A, B, C, D}. Two squares can be formed with P and Q as adjacent vertices (one on each side of PQ), and one square can be formed with P and Q as opposite vertices. This gives us 6 x 3 = 18 squares total.

However, we must subtract repeats. We see that the original square ABCD is counted 6 times, so the number of actual squares is 18 - 5 = 13.

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a plane takes off at an angle of elevation of 15 degrees and travels in a straight line for 3,000 meters. What is the height of
nevsk [136]
SOH CAH TOA tells you the sine function of an angle gives the ratio of opposite side to the hypotenuse of the right triangle.
  Sin = Opposite/Hypotenuse
In this problem, the angle is 15°, the hypotenuse is 3000 m and we want to find the length of the opposite side (the height above the ground).

  sin(30°) = height/(3000 m)
Multiplying by 3000 m, we get
  height = (3000 m)*sin(30°) = 1500 m

The height of the plane at that instant is ...
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5 0
4 years ago
Christine’s pet bunny ate 0.513 pounds of carrots on Friday. What is this number in word form?
dexar [7]

Answer: five hundred and thirteen thousandths

Step-by-step explanation:

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4 0
3 years ago
Suppose that y varies inversely with x. Write a function that models the inverse function. x = 15 when y = 2.
shutvik [7]
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k=30 so the function is:

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8 0
3 years ago
What is 3/4 + 1/6 divided by 2/5 evaluated and simplified into a fraction?
BabaBlast [244]
3/4 + 1/6= the common denominator is 12
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8/12
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6 0
3 years ago
Please Help Will mark brainliest
bija089 [108]
The answer to your question is 0.83
4 0
3 years ago
Read 2 more answers
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