To compare two fraction we have to make common denominator, then we can compare numerators.
Lets do this
$\frac{1}{2}= \frac{1*5}{2*5}= \frac{5}{10}$
Now we can compare numeratos.
3<5, so 1/2 is greater than 3/10.

8 0

3 years ago

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Mateo has 60 wooden tiles in the shape of diamonds as shown below. He plans to glue these tiles side by side onto a tabletop.

Rudik [331]

Answer: 1620

Step-by-step explanation: This is for a parallelogram you would multiple 6 base x's 4.5 height= 27 area for each diamond.

He's using 60 tiles. Multiple the area of 1 tile which is 27 by 60 wooden tiles to find the area of the parallelogram. 27 multipled by 60 tiles= 1620 inches squared

8 0

3 years ago

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What is the area of a triangle for one of the legs being 3in and the hypotenuse being 9in

elena55 [62]

The area of a triangle for one of the legs being 3 inches and the hypotenuse being 9 inches is 12.727 square inches

Solution:

Given that to find area of a triangle for one of the legs being 3 inches and the hypotenuse being 9 inches

From given information,

Let "c" = hypotenuse = 9 inches

Let "a" = length of one of the leg of triangle = 3 inches

To find: area of triangle

The area of triangle when hypotenuse and length of one side of triangle is given:

$A = \frac{1}{2} a \sqrt{c^2 - a^2}$

Where, "c" is the length of hypotenuse

"a" is the length of one side of triangle

Substituting the given values we get,

$A = \frac{1}{2} \times 3 \times \sqrt{9^2 - 3^2}$

$A =\frac{1}{2} \times 3 \times \sqrt{81-9}\\\\A =\frac{1}{2} \times 3 \times \sqrt{72}\\\\A =\frac{1}{2} \times 3 \times 8.48528\\\\A = \frac{1}{2} \times 25.45584\\\\A = 12.727$

Thus area of triangle is 12.727 square inches

5 0

3 years ago