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Bad White [126]
3 years ago
7

If you have a square that has sides measuring 5 inches what is the measure of its diagonal​

Mathematics
2 answers:
Oxana [17]3 years ago
6 0

Answer:

5√2 Inches

Step-by-step explanation:

By definition of a square, all it's sides are the same measurement (typically signified by the variable <em>s</em> on all sides).

In a triangle (as with a intersection from one corner to the other (diagonal), It would create a right triangle. Remember, the two leg sides are the same measurement (typically placed as 1). There is one triangle side measurement rule:

1 , 1 , √2

Plug in the corresponding numbers to the corresponding units. the 5 inches is a side (not the hypotenuse), so it belongs in the 1:

1 x 5 = 5

1 x 5 = 5

√2 x 5 = 5√2

The measurement of it's diagonal (hypotenuse) is 5√2.

~

HACTEHA [7]3 years ago
6 0

Answer:

5\sqrt{2}.

Step-by-step explanation:

The angles of a square are right angles. If you draw a diagonal, you'll see that it forms a right triangle. Since the sides of a square are congruent, the right triangle will be a 45-45-90 right triangle. The hypotenuse of a 45-45-90 right triangle is \sqrt{2} times the length (5) .

The measure of the hypotenuse is  5\sqrt{2}.

The hypotenuse = diagonal.

The diagonal is  5\sqrt{2}.

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What are the quotient and remainder when a) 19 is divided by 7? b) −111 is divided by 11? c) 789 is divided by 23? d) 1001 is di
Dennis_Churaev [7]

Answer:

a) quotient = 2,  remainder = 5

b) quotient = -10,  remainder = -1

c) quotient = 34,  remainder = 7

d) quotient = 77,  remainder = 0

e) quotient = 0,  remainder = 0

f) quotient = 0,  remainder = 3

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h) quotient = 4,  remainder = 0

Step-by-step explanation:

The relationship between the quotient, remainder and divisor is that the product of the quotient and divisor added to the reminder gives the dividend.

Based on this, when

a)19 is divided by 7 = 19/7

= 2\frac{5}{7}

Hence the quotient is 2, the remainder is 5

Applying the same principle, when

b) −111 is divided by 11

= -10\frac{1}{11}

Hence the quotient is -10, the remainder is -1

c) 789 is divided by 23

=34\frac{7}{23}

Hence the quotient is 34, the remainder is 7

d) 1001 is divided by 13

= 77

Hence the quotient = 77, the remainder is 0

e) 0/19 = 0

Hence the quotient is 0, the remainder is 0

f) 3/5

Hence the quotient is 0, the remainder is 3

g) -1/3

Hence the quotient is 0, the remainder is -1

h) 4/1

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3 years ago
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3 years ago
The party planner has 126 flowers and 14 vases for arrangements.
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Answer:

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Step-by-step explanation:

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