82 is 90% of what number?

1 answer:

8 0

You need to do like this:
$\frac{no.}{100} = \frac{is}{of}$
Plug the numbers into the formula:
$\frac{82}{100} = \frac{90}{?}$ because they said is 90 and of what?
Multiply diagnally: 100 × 90 = 9000 ÷ 82 ≈ 109.76
i don't really sure it was completly correct but hoped it helps:)

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O. Find the distance between P (10,-7) and Q (7,- 10). Leave your answer in radical form.

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Answer:

$\sqrt{18}$ or $3\sqrt{2}$ units.

Step-by-step explanation:

To find the distance between two points, we can use the Distance Formula.

Distance Formula: $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Given:

P (10, -7) ⇒ x₁ = 10, y₁ = -7

Q (7, -10) ⇒ x₂ = 7, y₂ = -10

Substitute the given values into the formula and simplify.

$\\\implies d=\sqrt{\bold{(7-10)}^2+\bold{(-10-(-7))}^2}\\\\\implies d=\sqrt{\bold{(-3)}^2+\bold{(-10+7)}^2}\\\\\implies d=\sqrt{9+\bold{(-3)}^2}\\\\\implies d=\sqrt{\bold{9+9}}\\\\\implies d=\sqrt{\bold{18}}\\\\\implies d=\sqrt{\bold{9}\times2}\\\\\implies d=3\sqrt{2}$