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3 years ago

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Suppose that the area of a circle is numerically equal to the perimeter of a square and that the length of a radius of the circl

e is equal to the length of a side of the square. find the length of a side of the square. express your answer in terms of Ï.

1 answer:

Luden [163]3 years ago

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I = the best letter out there

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3 years ago

Factor completely 9x2 42x 49. (3x 7)(3x − 7) (9x − 7)(9x − 7) (3x 7)(3x 7) (9x 7)(9x 7).

sweet-ann [11.9K]

Factors of the given expression by splitting middle term of expression $9x^2+42x+49$ will be $(3x+7) and (3x+7)$ .

Given expression is

$9x^2+42x+49$

<h3>What is a factor?</h3>

A factor is a number that divides another number leaving no remainder

After we split 42x into 21x each,

The expression looks like,

$9x^2+21x+21x+49$

$3x(3x+7)+7(3x+7)\\$

Taking 3x+7 as common

$(3x+7) (3x+7)$

So factors will be (3x+7) and (3x+7).

Therefore,

Factors of the given expression $9x^2+42x+49$ will be $(3x+7) and (3x+7)$ .

to get more about factors refer to:

brainly.com/question/25829061

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3 years ago

gYou have a six-sided die that you roll once and ob- serve the number of dots facing upwards. What is the sample space

Aleonysh [2.5K]

Hey!

The sample space would be sides 1, 2, 3, 4, 5, and 6, or 1-6.

A sample space is a range of possible values.

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3 years ago

For what side length(s) is the area of an equilateral triangle equal to 30 cm?? Only enter the number, in centimeters, rounded t

xenn [34]

Answer: The sides length are 8.32 cm

Step-by-step explanation:

An equilateral triangle has all his sides of the same lenght, so we assume that the triangle has an L lenght in his sides.

The area of a triangle is $Area = \frac{base * height}{2}$ where the base is L, the Area is 30 and an unknown height.

To determine the height, we cut the triangle in half and take one side. By simetry, one side has a base of $\frac{L}{2}$ , a hypotenuse of L and a the unknown height.

Then we apply the <em>Pythagoras theorem</em>, this states that <em>in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides</em>, or, $hypotenuse = \sqrt{c^{2} + c^{2} }$ Where one c is $\frac{L}{2}$ and the other is the height.

Then we find one of the c of the equation wich will be the height.

$height = \sqrt{hypotenuse^{2}-base^{2} }$

$height = \sqrt{ L^{2} -\frac{L}{4} ^{2}}\\height = \sqrt{\frac{ 3L^{2}}{4} } \\\\height = \frac{\sqrt{3}L }{2}$

Finally, we use the triangle area mentioned before an find the value of L.

$30 = \frac{L*\frac{\sqrt{3}L }{2} }{2} \\\\L = \sqrt{\frac{120}{\sqrt{3} } } \\\\L = 8.32 cm$

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3 years ago