MATHEMATICS MIDDLE SCHOOL

Write an equation of the circle with center (5, 2) and diameter 12.

Answers

Answer 1
Answer:

Answer:

(x-5)^2 + (x-2)^2 = 6^(2)

Step-by-step explanation:

Standard equation of a circle is

(x-x_(0))^2-(y-y_(0))^2 = r^2\nr=(1)/(2)d

As the radius is half of the diameter we can divide 12 by 2 to get a radius, then we can input values into this equation.

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Jamie has 3 times as many pencils as pens. She has at least 18 pencils. How many pens does Jamie have?

Answers

jamie has 54 pens in total and in simplefied ratio is 27:9
jamie has 3 times as many pencils as pen and jamie has 18 pencils so you multiply 3x18=54

What is the final balance for the investment? $1500 for 3 years at 10% compounded annually  A.$1625.00  B.$1875.00  C.$1996.50  D.$2110.50

Answers

the\ final\ balance:\n \nFB=1500\cdot(1+ (10)/(100) )^3=1500\cdot(1,1)^3=1500\cdot1.331=1,996.50\ [\$]\n \nAns.\ C

What 3 numbers greater than 20 have 9 as a factor

Answers

9*3= 27
9*4= 36
9*5= 45

Three numbers greater than 20 that have 9 as a factor are 27, 36, 45~
It is 27, 36 and 45.

I did it in my Go Math!!

Your welcome!

George spins a spinner 108 times. The spinner lands on a green section 9 times. What is the best estimate of the probability that a spin will land on green? Explain pargraph please

Answers

Answer:

1/12

Step-by-step explanation:

Probability is chance of occurrence.

It is observed that out of 108 trials, there were 9 successes i.e 9 times landing on the green section.

P(green) = 9/108

= 1/12

Draw a line to show the mixed numbers fractions that have the same value I need help ASAP please help me. Sorry about the quality

Answers

Answer:

  13/4 = 3 1/4

Step-by-step explanation:

You can convert each improper fraction to a mixed number, or vice versa to answer this.

I started by looking at the fractions with 4 in the denominator, since there are two mixed numbers with 4 in the denominator. Below we show the conversions of all of the mixed numbers.

To convert a mixed number to an improper fraction, multiply the integer by the denominator and add the numerator. Express the total over the denominator:

  k+(n)/(d)=(kd+n)/(d)

So, you have ...

  • 1 3/4 = (4+3)/4 = 7/4
  • 5 1/6 = (5·6 +1)/6 = 31/6
  • 3 2/5 = (3·5 +2)/6 = 17/5
  • 3 1/4 = (3·4 +1)/4 = 13/4 . . . . matches the first improper fraction

The appropriate choice is ...

  13/4 = 3 1/4

_____

You can also convert the improper fractions to mixed numbers. Divide the numerator by the denominator. The result is an integer and a remainder. The remainder is expressed over the divisor as a fraction:

  • 13/4 = 3 remainder 1 = 3 1/4 . . . . matches the last mixed number
  • 16/5 = 3 remainder 1 = 3 1/5
  • 31/4 = 7 remainder 3 = 7 3/4
  • 17/6 = 2 remainder 5 = 2 5/6

When two chords intersect "inside" a circle, what two sets of
angles are formed.

Answers

Answer:

Two sets of vertical angles are formed.
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