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4 years ago

A square playground has a perimeter of 120 yards. what is the length of a diagonal of the playground?

Mathematics

2 answers:

Nastasia [14]4 years ago

4 0

Perimeter of square, 4a = 120

a = 30

diagonal = a√2 = 30√2 yards OR 42.3 yards

eduard4 years ago

4 0

Answer:

The length of the diagonal of the playground is approximately 42.42 yards.

Step-by-step explanation:

As the playground is square we know the formula for its perimeter: $P=4l$ , where $l$ stands for the length of the side of the playground. By the statement of the problem we know that $P=4l=120 yd$ , then it is not difficult to find that $l=30$ yards.

If we trace the diagonal we see that a right triangle is formed, where the diagonal is its hypotenuse, and its sides are the sides of the playground. Then, using Pythagoras theorem (we denote by $d$ the length of the diagonal), we have

$d = \sqrt{30^2+30^2} = \sqrt{1800}\approx 42.42$ .

Thus, the diagonal has (approximately) 42.42 yards.

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I need help please and thank you

Brums [2.3K]

Well I THINK triangle ABC is just a stretched out version of triangle DEF.

To find the area of a triangle, you multiply base and height, and divide by 2.

Area of DEF is 6, so that means that (4 * x)/2 = 6.

6*2 = 12....

4 * x = 12........

4 * 3 = 12.

x = 3.

Comparing DEF to ABC: ABC's base is 3 times as long as DEF's. So that means the height must be three times as long.

3*3 = 9.

(12 * 9)/2 =54

5 0

3 years ago

Read 2 more answers

At Rite Aid you can get 24 rolls of Quilted Northern for $9.29. Find the unit rate

Lana71 [14]

39 cents

9.29/24=.387 which rounds up to .39

5 0

3 years ago

Read 2 more answers

A.) which of these expressions is equivalent to 4 x x

Law Incorporation [45]

Answer:

a) The correct option is C: 4x

b) The correct option is B: 2x

Step-by-step explanation:

a) Usually when we have a real number multiplying a variable, we do not need to write the multiplication symbol.

So instead of writing:

4×x

We can write:

And this will be equivalent.

Then in this case the correct option is C.

b) We know that if we have the multiplication of A by n, this will be equivalent to add A n times.

Then if we have the sum of A, for example, 4 times, we have:

A + A + A + A

And this can be written as 4*A

In this case, we have the expression x + x.

So we are adding x two times, then this can be written as: 2*x, or, as we said earlier, this also can be written as 2x.

Then the correct option is option B.

8 0

3 years ago

Each week you deposit money in a savings account. The first week you deposit $8 in the account. Each week you deposit $2 more th

rjkz [21]

first you do 8×12=92 then you do 92+2=94 94×12=1,128 so you save1,128 if I'm not wrong

8 0

3 years ago

Dr. Brown did 6 experiments at 7AM. Dr. Rachal did 8 experiments at 6PM. They both had 564 tools each. Dr. Brown used 386 and Dr

devlian [24]

Answer:

Step-by-step explanation:

Total number of tools for both = 564.

Dr Brown used 386 tools for 6 experiments.

average number of tools per experiment used by Dr Brown = $\frac{386}{6}$

= 64 $\frac{1}{3}$

Dr Rachal used 236 tools for 8 experiments.

average number of tools per experiment used by Dr Rachal = $\frac{236}{8}$

= 29 $\frac{1}{2}$

i. The number of more experiment that can be done by Dr Brown = (564 - 386) ÷ (64 $\frac{1}{3}$ )

= 2.7668

Dr Brown can do two more experiments.

The number of more experiments that can be done by Dr Rachal = (564 - 236) ÷ (29 $\frac{1}{2}$ )

= 11.1186

Dr Rachal can do 11 more experiments.

ii. Number of tools left after Dr Brown's experiments = 564 - 386

= 178

Number of tools left after Dr Rachal's experiments = 564 - 236

= 328

7 0

3 years ago