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Molodets [167]
3 years ago
11

Find the area of the green sector if m∠ A = π/6 and the circle has a radius of 10 inches. A) 25π B) π/6 C) 25π/ 3 D) 5π/6

Mathematics
2 answers:
shutvik [7]3 years ago
8 0

Where is the green sector?


I will assume that the central angle is pi/6 and that the radius is 10 in.


The area of the whole circle is pi*100 units^2.



The green sector has an area of



pi/6

-------- times the area of the entire circle = (1/12) of pi*100 units^2.

2pi


This comes to pi*(100 units^2)

------------------------ = (25/3) pi units^2. That's C.

12

barxatty [35]3 years ago
3 0

<u>Answer:</u>

25π/2

<u>Step-by-step explanation:</u>

You can set up a proportion:  

area sector /area :     circle =  A /360 °

In this case :       x /100π  =  45 /360

 

x =  1/8  100π =  25π/2

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The ratio between the volumes of two cubes is 125 to 216. what is the ratio between their respective surface areas?
MAVERICK [17]
Volume of a cube is length * width * height. Because it's a cube, all of these lengths are the same measurement so rather than doing V = l*w*h, we can do one of the measurements cubed, let's call it x.

So Volume = x³. So if we are given the volume, we can the length by doing the cube root. 

∛125 = 5
∛216 = 6

Surface area of a cube = 6x². So now we plug both of these measurements into the formula. 

For 5:

SA = 6(5)² = 6(25) = 150

For 6:

SA = 6(6)² = 6(36) = 216

The ratio of their surface areas is 150:216 or if you simplify it by dividing both by the GCF of 6, 25:36
8 0
3 years ago
I would like you to help me with that since I do not understand very well please ​
JulijaS [17]

When you see the symbol "△", this denotes a triangle. Now combine the symbol with the letters FGH, this becomes △FGH, meaning a triangle FGH, with F, G, and H as the three points.

Now, the symbol "∠" means angle and "m∠" means the measure of an angle. So m∠F means the angle at the point F, m∠G means the angle at the point G, and m∠H means the angle at the point H. (I'll attach a diagram of this triangle).

Now we have to determine m∠H, which is the angle at point H. To do that, we have to find the value of x. To do that, we have to use one of the laws of a triangle, which is:

The sum of angles in a triangle = 180°. This means when we add all the angles in a triangle, it sums up to 180°. Let's do that.

\angle F + \angle G + \angle H = 180\textdegree \\\angle F = (5x - 6)\textdegree, \angle G = (3x + 16)\textdegree, \angle H = (x + 8)\textdegree \\(5x - 6) + (3x + 16) + (x + 8) = 180\\5x + 3x + x - 6 + 16 + 8 = 180\\9x + 18 = 180\\9x = 180 - 18\\9x = 162\\x = 18\textdegree

Now that we have found the value of x as 18°, we can substitute its value to determine the angle H.

m\angle H = (x + 8), x = 18\\m\angle H = 18 + 8\\m\angle H = 26\textdegree

I hope you understand the explanation.

8 0
3 years ago
Can anyone help with this question pleasee
Vladimir [108]

Answer:

y = 1

Step-by-step explanation:

Given:

a^{3y - 5} = \frac{1}{a^2}

Apply the negative exponent rule

a^{3y - 5} = a^{-2}

The bases will cancel each other

3y - 5 = -2

3y - 5 + 5 = -2 + 5

3y = 3

\frac{3y}{3} = \frac{3}{3}

y = 1

7 0
3 years ago
Solve (x-3)^2 = 5 HELP ASAP!!! Please!! :(
Bas_tet [7]

Answer:

<em>Answer</em><em> </em><em>is</em><em> </em><em>option</em><em> </em><em>d</em><em> </em>

Step-by-step explanation:

given \: expression \: is \:  {(x - 3)}^{2}  = 5 \\  {x}^{2}  - 6x + 9 = 5 \\ subtracting \: 5 \: on \: both \: sides \: we \: get \\  {x}^{2}  - 6x + 4 = 0 \\ on \: solving \: the \: quadratic \: equation \: by \\  \: completing \: square \: method \\  {x}^{2}  - 6x =  - 4 \\ adding \:  {3}^{2} on \: both \: sides \: w e\: get \\  {x}^{2}  - 6x +  {3}^{2}  =  {3}^{2}  - 4 \\  {(x - 3)}^{2} = 5 \\ x - 3 + =    \sqrt{5}  \\ x =  \sqrt{5 }  + 3

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

5 0
3 years ago
Let a, b, c and x elements in the group G. In each of the following solve for x in terms of a, b, and c.
Nezavi [6.7K]

Answer:

x=c.a^{-1}.b^{-1}

Step-by-step explanation:

Given equation,

axb = c-----(1)

(axb) ( a^{-1}.b^{-1} ) = c.(a^{-1}b{-1})

(xb)(a)(a^{-1}.b^{-1} ) = c.(a^{-1}b{-1}) ( commutative law of multiplication )

(xb)(a.a^{-1}).b^{-1} = c.a^{-1}b{-1} ( Associative property )

(xb).e.b^{-1} = c.a^{-1}b{-1}

(xb).b^{-1}=c.a^{-1}.b^{-1}   ( identity property )

x.(b.b^{-1})=c.a^{-1}.b^{-1}  ( Associative property )

x.e=c.a^{-1}.b^{-1}      

x=c.a^{-1}.b^{-1}                 ( identity property )

5 0
3 years ago
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