2 years ago

a city block is a square with each side measuring 102 yards. Find the length of the diagonal of the city block.

1 answer:

6 0

We can see a right triangle here.
Diagonal is a hypotenuse of the right triangle. Two legs are equal 102 yards each.
We can use Pythagorean theorem
hypotenuse² = leg² + leg² = 2leg²
hypotenuse² = 2leg²
√hypotenuse² = √(2leg²)
hypotenuse = leg*√2
hypotenuse = 102*√2≈144.25 yards

the diagonal ≈144.25 yards

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I got 60 questions correct on my science test if I received a score of 75% how many questions were on the test

Ann [662]

Answer:

80 questions

Step-by-step explanation:

You can write a proportion to solve this. A proportion is an equation that sets two ratios equal.

The first ratio is 60/x where x is the number of questions. The second ratio is 75/100. This is the percent you got on the test. Cross multiply to sole for x.

$\frac{60}{x} = \frac{75}{100}\\ 60*100 = 75(x)\\6000 = 75x\\80 = x$