Austin's office is 360 square feet. Calculate the area of his office in square yards.

Mathematics

1 answer:

Marta_Voda [28]3 years ago

4 0

It would be 40 Because there are 9 square feet is equal to 1 square yard

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2√72 + 5√242 what is the answer for this question please can u tell me the right answer

Radda [10]

Answer:

67 $\sqrt{2}$

Step-by-step explanation:

Assuming you require to simplify the expression.

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Simplifying the radicals

$\sqrt{72}$ = $\sqrt{36(2)}$ = $\sqrt{36}$ × $\sqrt{2}$ = 6 $\sqrt{2}$

$\sqrt{242}$ = $\sqrt{121(2)}$ = $\sqrt{121}$ × $\sqrt{2}$ = 11 $\sqrt{2}$

Then

2 $\sqrt{72}$ + 5 $\sqrt{242}$

= 2(6 $\sqrt{2}$ ) + 5(11 $\sqrt{2}$ )

= 12 $\sqrt{2}$ + 55 $\sqrt{2}$

= 67 $\sqrt{2}$

6 0

3 years ago

Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the me

mel-nik [20]

Answer:

The perimeter of the base of the birdhouse is 36 units

Step-by-step explanation:

<u><em>The complete question is</em></u>

Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?

step 1

Find the measure of the interior angle

Let

x ---> the measure of the interior angle

y ---> the measure of the exterior angle

Remember that

the sum of the interior and exterior angle in any polygon is equal to 180 degrees

$x+y=180^o$ ----> equation A