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2 years ago

A square has a side length of 10cm. Work out the length of a diagonal of the square.

Mathematics

2 answers:

GarryVolchara [31]2 years ago

8 0

d=√2

a=√2.10 ≈14.14214cm

=14.14cm

Vitek1552 [10]2 years ago

5 0

Answer: Let x = the length of a side of the square

a2 + b2 = c2

x2 + x2 = 102

2x2 = 100

x2 = 50

x = √50

x = 5√2 cm

Step-by-step explanation:

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irga5000 [103]

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Option C, 488 square centimeters

Step-by-step explanation:

Step 1: Determine the area of the rectangle

$A = l * w$

$A = 22\ cm * 17\ cm$

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1 year ago

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Find two numbers whose difference is 176 and whose product is a minimum.

Zanzabum

Let the two required numbers be x and y, then x - y = 176, thus y = x - 176.

Let the product of the two numbers be represented by

$P = xy x(x - 176) = x^2 - 176x$

For the product to be minimum, $\frac{dP}{dx} =0$

$\frac{dP}{dx} =2x - 176=0 \\ \\ \Rightarrow2x=176 \\ \\ \Rightarrow x=88$

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3 years ago

A square has a side length of 10cm. Work out the length of a diagonal of the square.​

A square has a side length of 10cm. Work out the length of a diagonal of the square.