Answer:
42 cm.
Step-by-step explanation:
Please find the attachment.
Let x be the length of diagonal of the square.
We have been given that length of each side of a square is 30 cm. We are asked to find the length of the diagonal of square to the nearest centimeter.
We can see from our diagram that triangle AC is the diagonal of our square.
Since all the interior angles of a square are right angles or equal to 90 degrees, so we will use Pythagoras theorem to find the length of diagonal.
Upon substituting our given values in above formula we will get,
![x^2=(30\text{ cm})^2+(30\text{ cm})^2](https://tex.z-dn.net/?f=x%5E2%3D%2830%5Ctext%7B%20cm%7D%29%5E2%2B%2830%5Ctext%7B%20cm%7D%29%5E2)
![x^2=900\text{ cm}^2+900\text{ cm}^2](https://tex.z-dn.net/?f=x%5E2%3D900%5Ctext%7B%20cm%7D%5E2%2B900%5Ctext%7B%20cm%7D%5E2)
![x^2=1800\text{ cm}^2](https://tex.z-dn.net/?f=x%5E2%3D1800%5Ctext%7B%20cm%7D%5E2)
Let us take square root of both sides of our equation.
![x=\sqrt{1800\text{ cm}^2}](https://tex.z-dn.net/?f=x%3D%5Csqrt%7B1800%5Ctext%7B%20cm%7D%5E2%7D)
![x=42.4264\text{ cm}\approx 42\text{ cm}](https://tex.z-dn.net/?f=x%3D42.4264%5Ctext%7B%20cm%7D%5Capprox%2042%5Ctext%7B%20cm%7D)
Therefore, the length of diagonal of our given square is 42 cm.
Grapefruit=108
Orange=100
Apple=90
a) (108-90)/90*100 = 18/90*100=20%
b) (108-90)/108= 18/108*100=16 2/3%
Answer: 43
Step-by-step explanation:
An equation that models the proportional relationship between t and s.
t = 12.5s
<h3>What is proportional relationship?</h3>
Relationships between two variables where their ratios are equal are known as proportional relationships. The fact that one variable is always a constant value multiplied by the other in a proportionate connection is another way to conceive of them. This parameter is referred to as the "constant of proportionality."
<h3>According to the given information :</h3>
1) Ticket for an art museum costs $12.50
2) In other words, the price will increase by $12.50 for each ticket purchased (or tickets).
In other words, the total expense is always 12.5 times the quantity of tickets sold.
3) This indicates that we can create this ---> t = 12.5s.
An equation that models the proportional relationship between t and s.
t = 12.5s
To know more about proportional relationship visit:
brainly.com/question/12022244
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