MATHEMATICS HIGH SCHOOL

The area of a circle is 36π square centimeters. What is the diameter of the circle?A= πr2
A 6
B 9
C 12
D 18

Answers

Answer 1
Answer: formula of circle's area is S=πr²
so 36π=πr²
r²=36
r=6
diametr d=2r, r- radius
so d=2*6=12
Answer: C 12
Answer 2
Answer: A= r^2 x pithe coefficient of pi is the radius squaredso, take the square root of 36 which is 6 to get the radius and times it by 2 to get the diameteranswer is C 12hope this helps

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A segment of a circle has 120 degree arc and a cord of 8 square root 3 in. Find the area of the segment

Answers

Answer:

ok then

Step-by-step explanation:

Segementhaveangleof120degree

sorryissseaaghenhiaate
120 is the right answer

Sequencing of rigid motions matters . true or false ?

Answers

Answer:

False.......................

Step-by-step explanation:

Please mark as brainlist answers

A sequence is defined recursively using the equation f(n + 1)=f(n) - 8. If f(1) = 100, what is f(6)?

Answers

If you would like to know what is f(6), you can calculate this using the following steps:

f(n + 1) = f(n) - 8
f(1) = 100
f(2) = f(1) - 8 = 100 - 8 = 92
f(3) = f(2) - 8 = 92 - 8 = 84
f(4) = f(3) - 8 = 84 - 8 = 76
f(5) = f(4) - 8 = 76 - 8 = 68
f(6) = f(5) - 8 = 68 - 8 = 60

The correct result would be 60.

Answer:

60

Step-by-step explanation:

I need help with this math question:Solve. Sin^2x-Sinx=0

I got 0,90,180,270 and 360 degrees. Anyone know if that's right

Answers

\n sin^2(x)-sin(x)=0 \n sinx(sinx-1)=0 \n \n sinx=0 \n x= \pi k~~k \in Z \n x=0 \n \n sin(x)-1=0 \n sin(x)=1 \n x= ( \pi )/(2) +2 \pi k~~k \in Z

In year 1, nominal GDP for the United States was $2,250 billion and in year 2 it was $2,508 billion. The GDP deflator was 72 in year 1 and 79 in year 2. Between year 1 and year 2, real GDP rose by:

Answers

Answer:

1.6%

Step-by-step explanation:

The real GDP is given by the nominal GDP divided by the GDP deflator, the real GDP for year 1 and year 2, respectively, were:

GDP_1=(2250)/(0.72)\nGDP_1=\$3,125\ billion\n\nGDP_2=(2,508)/(0.79)\nGDP_2=\$3,174.68\ billion

The percentage change in GDP is:

P=(3,174.68-3,125)/(3,125)\n P=0.016=1.6\%

Between year 1 and year 2, real GDP rose by 1.6%.

What is :

(49^x)(7^x^2)=2401^2

Answers

(49^x)(7 ^(x^2))=2401^2 \n \n( (7^2)^x)(7 ^(x^2))= (7^4) ^2 \n \n 7 ^(2x)\cdot 7^(x^2)=7^(8) \n \n 7 ^(2x+x^2) =7^(8) \n \n2x+x^2 =8

 x^2-2x-8 = 0\n \n a=1, \ b=-2, \ c=-8 \n \n\Delta =b^2-4ac = (-2)^2 -4\cdot1\cdot (-8) = 4 +32 =36 \n \nx_(1)=(-b-√(\Delta) )/(2a)=(2-√(36))/(2 )=( 2-6)/(2)=(-4)/(2)=-2 \n \nx_(2)=(-b+√(\Delta) )/(2a)=(2+√(36))/(2 )=( 2+6)/(2)=(8)/(2)= 4 \n \nAnswer: \ x=-2 \ \ or \ \ x=4
(49^x)(7^(x^2))=2401^2\n \n7^(2x) \cdot7^(x^2)=(7^4)^2\n \n7^(2x+x^2)=7^8\ \ \ \Leftrightarrow\ \ \ 2x+x^2=8\ \ \ \Leftrightarrow\ \ \ x^2+2x-8=0\n \nx^2-2x+4x-8=0\ \ \ \Leftrightarrow\ \ \ x(x-2)+4(x-2)=0\n \n(x-2)(x+4)=0\ \ \ \Leftrightarrow\ \ \ ( x-2=0\ \ \ \vee\ \ \ x+4=0)\n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=-4
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