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Alisiya [41]
2 years ago
8

what is the length of a diagonal of the a rectangular picture whose sides are 12 inches by 17 inches. Round to the nearest tenth

of an inch
Mathematics
1 answer:
Blababa [14]2 years ago
3 0
Using Pythagorean theorem:
12^2+17^2=c^2
144+289=c^2
433=c^2
20.81=c
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6 0
3 years ago
The average of three numbers is 45. two of the numbers are equal. the last number is 89. what are the two missing numbers?
trasher [3.6K]
The average of a set of data is equal to the sum of the values divided by the number of data present. So, if we have three numbers, the average would be:

let x, y and z represent the three numbers
average = x + y + z / 3 = 45

Two number are equal in value, so let x = y. Substituting the value to the expression of average,

45 = x + x + z / 3
45 = 2x + z / 3

It said that the last number is 89 so z is equal to 89.

45 = 2x + 89 / 3
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Therefore, the two numbers are both 23.
4 0
3 years ago
Read 2 more answers
Explain how you would get the answer please
kompoz [17]
To find the intersection points, you take x^2 - 4x + 9 = -2x + 17

This gives x^2 - 2x - 8 = 0,

which factorises to (x - 4)(x + 2) = 0, giving the solutions x = 4 or x = -2

From the graph, we can see that x is positive, meaning x = 4, so a = 4.

Substituting x = 4 into y = -2x + 17, we get y = -2(4) + 17 = 9, so b = 9.

a + b = 4 + 9 = 13. The answer is B.
3 0
3 years ago
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