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1 year ago

The perimeter of a square is 56cm. What is the approximate length of its diagonal?

2 answers:

8 0

4. 19.8
56/4=14
Diagonal of a square is equal to one side multiplied by the square root of two.
Therefore, it is 19.8, being that square root is (in super simple rounding) 1.5.

WARRIOR [948]1 year ago

4 0

Answer:

17.8 cm is the approximate length of its diagonal.

Step-by-step explanation:

Side of the square = l

Perimeter of the square = P = 56 cm

Perimeter of the square is the sum of all the sides of the square.

4a = 56 cm

$4a=56 cm$

$a=\frac{56}{4}=14 cm$

The length of the diagonal is given by: d

$d^2=a^2+a^2$ (Pythagoras theorem)

$d=\sqrt{a^2+a^2}=\sqrt{2a^2}$

$d=17.79 cm\approx 17.8 cm$

17.8 cm is the approximate length of its diagonal.

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If tammy takes 200 steps to travel 1/4 of a city block, how many steps will she take to travel 4 1/2 city blocks?

mamaluj [8]

For 1/4 city, he takes = 200 steps
for a city, it is = 200 * 4 = 800

Now, for 4 1/2 = 9/2 city, he would take = 800 * 9/2 = 3600

In short, Your Answer would be 3600 steps

Hope this helps!

8 0

2 years ago

In a small town, 50% of single family homes have a front porch. 48 single family homes are randomly selected. Let X represent th

Reil [10]

Answer:

N(24, 3.46)

Step-by-step explanation:

We are given the following in the question:

Percentage of family homes having front poach = 50%

$p = 50\% = 0.50$

Sample size, n = 48

Normal approximation to the given distribution:

$\mu = np = 48(0.50) = 24$

$\sigma = \sqrt{np(1-p)} = \sqrt{48(0.50)(1-0.50)} = 3.46$

Thus, the distribution of single family homes is best approximated by the normal distribution N(24, 3.46) where mean is 24 and standard deviation is 3.46

6 0

2 years ago

11. In a gym the ratio of men to women with membership is 5:2. If the gym has 735 persons with membership, how many men will the

Doss [256]

The ratio is 5:7 when you are dealing with total membership. In other words, out of every 7 members, 5 will be men and 2 will be women

The ratio will look like this

5:7 = x:735 change to a proportion

5/7 = x / 735 Cross Multiply

7*x = 5 * 735 Combine the right

7*x = 3675 Divide by 7

x = 3675/7 Divide

x = 525

Answer: 525 men

6 0

2 years ago

If CDEF ≅ MNPQ, then ≅ DE ≅

Yanka [14]

The answer is A.NP.

5 0

2 years ago

Read 2 more answers

A certain club has $50$ people, and $4$ members are running for president. Each club member votes for one of the $4$ candidates.

erastova [34]

Answer:

The number of different possible vote totals is 184.

Step-by-step explanation:

It is provided that there are N = 50 people in a club.

The position of President is open. And there are x = 4 members running for he post of President.

So, there are n = N - x = 50 - 4 = 46 people voting for these 4 members.

Each member of the club has x = 4 possible choices.

So, the number of different possible vote totals are:

Number of different possible votes = n × x

= 46 × 4

= 184

Thus, the number of different possible vote totals is 184.

8 0

1 year ago