What is the value of the expression 40.08÷1.2

3 squares are positioned to form a triangle. the small square is labeled 6 units, medium square is 8 units, and large square is

LuckyWell [14K]

The area of the square of the leg 6 is 36 square units.

The area of the square of the leg 8 is 64 square units.

The area of the square of the hypotenuse square is 100 square units.

The length of the hypotenuse is 10 units.

Formula Used

Area of square, A = $(a)^{2}$

Here, $a$ is the length of the side of the square.

Pythagoras Theorem is given as,

$h^{2} =p^{2} +b^{2}$

Here, $h, p, b$ are the hypotenuse, perpendicular, and the base of a right angle triangle respectively.

Area of the Square of the Leg 6

Length of the edge of the square = 6 units

Area of square = 6*6

= 36 square units

Area of the Square of the Leg 8

Length of the edge of the square = 8 units

Area of square = 8*8

= 64 square units

Area of the Hypotenuse Square and the Length of the Hypotenuse

Applying Pythagoras theorem,

$h^{2} = (8)^{2} +(6)^{2}$

$h^{2} = 64+36$

$h = \sqrt{100}$

$h = 10 units$

Therefore, the area of the hypotenuse square is 100 square units and the length of the hypotenuse comes out to be10 units.

Learn more about area of square here:

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2 years ago

Deniz had a full gallon of milk. She poured out 4 cups of milk. There are 16 cups in 1 gallon. About what percent of the origina

Molodets [167]

Answer:

75% of the original volume is left.

Step-by-step explanation:

Deniz had a full gallon of milk, or 16 cups of milk, and then she poured out 4 cups of milk. That is:

$\\ A_{full-gallon} = \frac{16}{16}$ cups of milk, since $\\ \frac{16}{16} = 1$ or $\\ 1 * 100\% = 100\%$ of the original volume.
Deniz poured out 4 cups of milk from the 16 available (or $\\ \frac{4}{16}$ ).

Then,

The total left is:

$\\ Total_{left} = \frac{16}{16} - \frac{4}{16} = \frac{12}{16} = \frac{3}{4}$ , since we are dealing here with fractions with the same denominator.

In other words, $\\ \frac{3}{4} = 0.75$ is the amount of milk left in the container.

In terms of percentage, $\\ \frac{3}{4} = 0.75$ is equivalent to $\\ 0.75*100\% = 75\%$ of the original volume, because Deniz poured out $\\ \frac{4}{16} = \frac{1}{4} = 0.25$ or $\\ 0.25*100\% = 25\%$ from the original volume.