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KonstantinChe [14]
3 years ago
7

Please respond asap!!!

Mathematics
2 answers:
scoray [572]3 years ago
7 0

ANSWER

9(\pi -  \frac{ \sqrt{3} }{2} )

Approximately, A=20

EXPLANATION

The circle has radius r=3 units.

The height of the triangle is ,

h = 6 \cos(60 \degree)  = 3

The base of the triangle is

b = 6 \sin(60 \degree)  = 3 \sqrt{3}

The area of the triangle is

\frac{1}{2} bh

=  \frac{1}{2}  \times 3 \sqrt{3}  \times 3

=  \frac{9}{2}  \sqrt{3}

The area of the circle is

\pi {r}^{2}

=  {3}^{2} \pi

= 9\pi

The difference between the area of the circle and the triangle is

9\pi - \frac{9}{2}  \sqrt{3}  = 9(\pi -  \frac{ \sqrt{3} }{2} )

umka2103 [35]3 years ago
4 0

Answer:

Difference = 20.47 square  units

Step-by-step explanation:

Points to remember

Area of circle = πr²

Where r - Radius of circle

Area of triangle = bh/2

Where b - Base and h- Height

It is given a circle with radius 3 units

And a right angled triangle with angles 30, 60 and 90 and hypotenuse = 6 units

<u>To find the area of circle</u>

Here r = 3 units

Area =  πr²

 = 3.14 * 3 * 3

 = 28.26 square units

To find the area of triangle

Here sides are in the ratio Base : Height : hypotenuse = 1 : √3 : 2

 = Base :  Height : 6

 = 3 : 3√3 : 6

Base b = 3 and height h  = 3√3

Area = bh/2

 = (3 * 3√3)/2

 = 7.79 square units

<u>To find the difference </u>

Difference = 28.26 - 7.79

 = 20.47 square  units

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3 years ago
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Step-by-step explanation:

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2 years ago
Solve the equation:<br> 5(y+2)=-35<br> оа<br> y=-7<br> y=-17<br> O<br> oc<br> Od<br> y=-5<br> y=-9
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7 0
3 years ago
Mrs Hong had some milk. She used of it to bake some waffles and
Sergio [31]

<u><em>Answer:</em></u>

Mrs. Hong originally had 900 ml of milk

<u><em>Explanation:</em></u>

The complete question is in the attached image

Assume that the amount of milk Mrs. Hong originally had was x ml

<u>We are given that:</u>

1- She used \frac{1}{6} of it to bake the waffles, <u>therefore</u>:

   Amount used in baking waffles = \frac{1}{6}x ml

2- She used 300 ml to bake a pie

3- Amount left is half the original amount, <u>therefore</u>:

   Amount left = \frac{1}{2}x ml

<u>We know that:</u>

Total amount = amount used in waffles + amount used in pie + amount left

<u>Substitute with the givens and solve for x:</u>

Total amount = amount used in waffles + amount used in pie + amount left

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<u>This means that:</u>

She originally had 900 ml of milk

Hope this helps :)

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Answer:

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4 0
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