Describe the error in finding the measure of the angle.

Find the length of side x in simplest radical form with a rational denominator

Yakvenalex [24]

Answer:

x = √(10)/2

Step-by-step explanation:

Here, we want to get the measure of the side marked x

what we have is an isosceles right triangle since the two acute angles of the right triangle are 45 degrees each

Hence, the other last side will measure x too

Mathematically, according to Pythagoras’; the square of the hypotenuse equals the sum of the squares of the two other sides

Thus;

x^2 + x^2 = (√5)^2

2x^2 = 5

x^2 = 5/2

x = √(5/2)

x = √5/√2

Rationalizing the denominator;

x = (√2 * √5)/(√2 * √2)

x = √10/2

4 0

3 years ago

Filomena applies the commutative property to the product. (7/15)⋅(−11)⋅(30) Which expression illustrates the commutative propert

dedylja [7]

The commutative property is a number property where the answer obtained is the same no matter the position of the numbers you are multiplying together.

Commutative property of multiplication is expressed as:

a x b = b x a

a x b x c = a x c x b = b x c x a

Note: " . " in the question also means "x" (multiplication)

Applying commutative property to the question:

(7/15)⋅(−11)⋅(30)

(7/15) ⋅ (−11) ⋅ (30) = (7/15) . (30) . (11)

The values interchanged are: 11 and 30. The result of the multiplication remains unchanged.

Option A is the correct answer.

To learn more, visit the link:

brainly.com/question/24733555

8 0

3 years ago

Read 2 more answers

Help me please,Thanks

mylen [45]

D 66 cats

Hope this helps!

7 0

3 years ago

At most, Kyle can spend $50 on sandwiches and chips for a picnic.

trapecia [35]

Answer:

21

Step-by-step explanation:

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8 0

3 years ago

Pleaseeeeeee help mee

BlackZzzverrR [31]

Answer:

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

Step-by-step explanation:

Step(i):-

Given

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos( 3x - \frac{\pi }{3} ) = cos (\frac{\pi }{6} )$

$3x - \frac{\pi }{3} = \frac{\pi }{6}$

$3x - \frac{\pi }{3 } + \frac{\pi }{3} = \frac{\pi }{6} + \frac{\pi }{3}$

$3x = \frac{2\pi +\pi }{6} = \frac{3\pi }{6} = \frac{\pi }{2}$

$x = \frac{\pi }{6}$

Step(ii):-

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

verification :-

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

put $x = \frac{\pi }{6}$

$cos( 3(\frac{\pi }{6}) - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos (\frac{\pi }{6} ) = \frac{\sqrt{3} }{2} \\\\\frac{\sqrt{3} }{2} = \frac{\sqrt{3} }{2}$

Both are equal

∴The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

4 0

2 years ago