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3 years ago

5 1/4% of what number is 12.6?

Mathematics

1 answer:

Mama L [17]3 years ago

6 0

bearing in mind that 5¼ is just 5.25 converted to decimal.

let's say the number is "x", thus "x" is the 100%.

12.6 is 5.25%, what is the 100%? namely "x"?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 12.6&5.25 \end{array}\implies \cfrac{x}{12.6}=\cfrac{100}{5.25}\implies 5.25x=1260 \\\\\\ x=\cfrac{1260}{5.25}\implies x=240$

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In the right triangle shown, the third side can be represented by the expression

Westkost [7]

The third side can be represented by D) $x = \sqrt{z^{2} } -y^{2} .$

Step-by-step explanation:

Step 1:

According to the Pythagorean theorem, the square of the hypotenuse will be equal to the sum of the squares of the other two sides.

In the given triangle, the hypotenuse is the side that is represented by z. Another side on the triangle is represented by the value y.

Step 2:

Assume the other side of the triangle measures x units.

So according to the Pythagorean theorem,

$z^{2} = x^{2} +y^{2} , x^{2} = z^{2} - y^{2} .$

$x = \sqrt{z^{2} } -y^{2}$ which is option D.

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3 years ago

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KonstantinChe [14]

Answer:

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Step-by-step explanation:

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2 years ago

The diagonal of the rectangle is 15 cm and one of its sides is 9 cm. find the area of the rectangle.

Tems11 [23]

The area of the rectangle is 108 square centimeters.

Given Information

The following information has been given in the question,

Length of the diagonal of the rectangle, l = 15 cm

Length of one of the sides of the rectangle, a = 9 cm

Let the other side of the rectangle be b.

Finding the Other Side of the Rectangle

According to Pythagoras Theorem,

(hypotenuse)² = (base)² + (perpendicular)²

Applying this theorem in the right-angle triangle formed by the diagonal and 9cm side of the rectangle, we get,

l² = a² + b² [∵ The diagonal makes the hypotenuse]

(15)² = (9)² + b²

b² = (15)² - (9)²

b² = 225 - 81

b² = 144

b = √144

b = 12 cm

Calculating the Area of the Rectangle

Area of the rectangle, A = a × b

A = 9 × 12

A = 108 cm²

Learn more on a rectangle here:

brainly.com/question/15019502

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2 years ago

Please explain the problem to me step by step

JulijaS [17]

<h3>Solution:</h3>

$\frac{4y}{9} - \frac{2y}{3} = 10 \\ = > \frac{4y - 6y}{9} = 10 \\ = > \frac{ - 2y}{9} = 10 \\ = > y = 10 \times \frac{9}{ - 2} \\ = > y = - 5 \times 9 \\ = > y = - 45$

<h3>Answer:</h3>

-45

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3 years ago

Jesse has 5 and 3/4 dozen eggs. How many eggs does he have.

Leviafan [203]

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3 years ago