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3 years ago

A regular hexagon inscribed in a circle creates 6

Mathematics

2 answers:

anastassius [24]3 years ago

6 0

Answer: answer is A

Step-by-step explanation:

Edge 2020

Marat540 [252]3 years ago

6 0

Your question: A regular hexagon inscribed in a circle creates 6 equiangular triangles. If the radius of the circle is 10 inches, how far are points at A and B from the y-axis?

The correct answer would be They are both 5 inches from the y-axis

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This is due like right now, please help me!!!!

Varvara68 [4.7K]

$\bold{\huge{\orange{\underline{ Solution }}}}$

$\bold{\underline{ Given \: Rules}}$

The sum of the number in each of the four rows is the same
The sum of the numbers in each of the three columns is the same
The sum of any row does not equal the sum of any column

$\bold{\underline{ Let's \: Begin}}$

According to the Second rule :-

$\sf{ 75+b+83=76+80+d=a+81+85+78+c+e }$

$\sf{ 158 + b = 156 + d = 166 + a = 78 + c + e ...(1)}$

According to the first rule :- 

$\sf{ 75+76+a+78 = b+80+81+c = 83+86+d+e}$

$\sf{ 229 + a = 161 + b + c = 168 + d + e ...(2)}$

From ( 1 ) we got :-

$\sf{ 158 + b = 166 + a, 156 + d = 166 + a }$

$\sf{ b = 166 - 158 + a, d = 166 - 156 + a }$

$\sf{ b = 8 + a, d = 10 + a ...(3)}$

Subsitute (3) in ( 2 ) :-

$\sf{229+a = 161+8+a+c = 168+10+a+e}$

$\sf{ 229+a = 169+a+c = 178+a+e}$

We can write it as :-

$\sf{ 229+a = 169+a+c \:or\:229+a = 178+a+e}$

$\sf{ c = 299-169+a-a\:or\:e = 229-178+a-a}$

$\sf{ c = 60 \: and \: e = 51 }$

Subsitute the value of c and e in ( 1 ):-

$\sf{ 158 + b = 156 + d = 166 + a = 78 + 60 + 51 }$

$\sf{ 158 + b = 156 + d = 166 + a = 189}$

Now, 

$\sf{ For \: b, 158 + b = 189 }$

$\sf{ b = 189 - 158 }$

$\sf{ b = 31}$

$\sf{ For \: d , 156 + b = 189 }$

$\sf{ d = 189 - 156 }$

$\sf{ d = 33}$

$\sf{ For \: a, 166 + a = 189 }$

$\sf{ a = 189 - 166 }$

$\sf{ a = 23 }$

Hence, The value of a, b, c, d and e is 23, 31 ,60 ,33 and 51 .

8 0

3 years ago

Which of the following circles lie completely within the fourth quadrant?

Sladkaya [172]

Answer:

C. (X-9)^9 + (y+9)^2= 16

D. (X-9)^2 + (y+5)^2= 9

Step-by-step explanation:

The formula for a circle is

(X-h)^2 + (y-k)^2= r^2

where (h,k) is the center of the circle and r is the radius

The 4th quadrant is where x is positive and y is negative

Add r to the y coordinate of the center and if it is still negative, the circle is still completely in the 4th quadrant

A. (X-12)^2 + (y+0)^2= 72

The center is at 12,0 and the radius is sqrt(72) = 6sqrt(2)

This will be positive so it goes into the 1st quadrant

B. (X-2)^2 + (y+7)^2= 64

The center is at 2,-7 and the radius is 8

-7+8=1 so it goes into the 1st quadrant

C. (X-9)^9 + (y+9)^2= 16

The center is at 9,-9 and the radius is 4

-9+4 = -5 so it is completely in the 4th quadrant

D. (X-9)^2 + (y+5)^2= 9

The center is at 9,-5 and the radius is 3

-5+3 = -2 so it is completely in the 4th quadrant

4 0

4 years ago

Read 2 more answers

If you know this please tell me all the answers

sp2606 [1]

1. 3n
2. 9x
3. 9wx
4. 5ac^2
5. 8wx^2
6. 4a^2 c

7 0

3 years ago

1 In a test, a hybrid car drove 619 yards on 1 fluid

Aleks [24]

It’s d because u need to know how to divide

7 0

3 years ago

DUE IN 5 MINUTES PLZ HELP LOL:)

katen-ka-za [31]

1) Yes

2) 5 minutes

3) 2 minutes

Step-by-step explanation:

1: Yes because, using the vertical line test, the line will cut the graph once meaning that the graph will form a function

2: 5 minutes because the horizontal line represents that she rested, therefore she was at the park for five minutes

3: 2 minutes because she traveled and reached home between 6 and 8 minutes

3 0

3 years ago

Read 2 more answers