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Maru [420]
3 years ago
7

The area of a square garden is 50 m². How long is the diagonal? 100 m mc028-1.jpg m 25 m 10 m

Mathematics
2 answers:
SCORPION-xisa [38]3 years ago
7 0
A=s^2 50=S^2 s= sqrt50 s=7.071 ms  a^2+a^2=c^2 50+50=c^2 100=c^2 c= sqrt100 c=10ms  So the answer would be 10 hope this helped
Sauron [17]3 years ago
5 0

Answer:

Option D, 10m

Step-by-step explanation:

The area of a square garden is 50 m²

We have to find the diagonal of the square garden  by Pythagoras theorem.

Since ( diagonal )² = 2(side)²

         ( diagonal )² = 2 × area

                              = 2 × 50 = 100 m²

      diagonal = √100

                     = 10 meter

Option D., 10m is the answer.

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An <em>algebraic expression</em> is one that consists of both <u>number(s)</u> and an <u>alphabet(s)</u>. The <em>required</em> answers are:

i. Distance from Chenoa's <u>house</u> to the <em>coffee shop</em> = 6.0 miles

ii. D<u>istance</u> from <em>coffee shop</em> to Chenoa's <u>school</u> = 1.5 miles

iii. <em>Distance</em> from Chenoa's <u>house</u> to her <u>school</u> = 7.5 miles

An <em>algebraic expression</em> is one that consists of both <u>number(s)</u> and an <u>alphabet(s)</u>. The <em>alphabet</em> is referred to as the <u>unknown</u> whose <u>value</u> has to be <em>determined</em>.

In the given question, let the <u>distance</u> from the <em>coffee shop</em> to Chenoa's <u>school</u> be represented by y.

So that;

The <u>distance</u> from Chenoa's house to the <em>coffee shop</em> = (2y + 3) miles.

The <em>total distance</em> from Chenoa's <u>house</u> to her <u>school </u>= 5y.

This implies that:

(2y + 3) + y = 5y

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3 = 5y - 3y

2y = 3

y = \frac{3}{2}

  = 1.5

The <em>distance</em> from the <em>coffee shop</em> to Chenoa's <u>school</u> is 1.5 miles.

Thus;

(2y + 3) = ( 2(1.5) + 3)

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The <u>distance</u> from Chenoa's <u>house</u> to the <em>coffee shop</em> is 6 miles.

And,

5y = 5(1.5)

    = 7.5

The <em>total distance</em> from Chenoa's <u>house</u> to her <u>school</u> is 7.5 miles.

For more clarifications on algebraic expressions, visit: brainly.com/question/12792264

#SPJ1

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