MATHEMATICS HIGH SCHOOL

Find the circumference and area of the circle whose equation is(x-9)^2 + (y-3)^2 = 64. Leave the answer in the terms of pi

Answers

Answer 1
Answer: (x-9)^2+(y-3)^2=64\n\ncenter\ of\ the\ circle:(9;\ 3)\n\nradius:r=√(64)=8\n\ncircumference:C_O=2\pi r\to C_O=2\pi\cdot8=16\pi\n\narea:A_O=\pi r^2\to A_O=\pi\cdot8^2=64\pi

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A set of data includes 101 data points ranging from 0 – 200. If the data is split into classes with a range of 20 (1 – 20, 21 – 40, etc), and there are no values that fall in the class 101 – 120, what can you say about the data?A.The mean of the data will not be between 101 and 120.
B. All the data lies below 100.
C. The relative frequency of the class 101 – 120 is 0.
D. The median could be in the range 101 – 120.

Answers

Answer:

The relative frequency of the class 101 – 120 is 0.

Step-by-step explanation:

i took the quiz
D, because there might be values higher than 120, because the data points range from 0 - 200.

Find 3 consecutive even numbers where the product of the smaller two numbers is 40 less than the square of the largest number.

Answers

3\ consecutive\ even\ numbers:\ 2x,2x+2,2x+4\n\n2x(2x+2)+40=(2x+4)^2\n\n 4x^2+4x+40=4x^2+16x+16\n\n 4x^2-4x^2+4x-16x=16-40\n\n-12x=-24\ \ |:(-12)\n\nx=(24)/(12)=2\n\n2x=2=4\n\n2x+2=6\n\n2x+4=8\n\nNumbers\ are\ 4,6,8.

(2-3i)*(3+4i) perform following operations

Answers

\left( 2-3i \right) \left( 3+4i \right) \n \n =6+8i-9i-12{ i }^( 2 )\n \n =6-i-12\left( -1 \right) \n \n =6-i+12\n \n =18-i
(2-3i)(3+4i)=\n6+8i-9i+12=\n18-i

How do you add 0.89+0.657?

Answers


You have to line up the decimal, then just add.

   0.89
+ 0.657

   1.547

7 + nothing is 7

9 + 5 = 14, bring down your 4 carry your 1

8 + 6 = 14 plus the 1 you carried is 15

Just make sure you keep the decimals lined up.

Hope this helps. :)
First! You have to line up the decimals.

      0.89
 +   0.657
-----------
Now you just add but bring the decimal straight down.


YOUR ANSWER IS 1.547

1 7/9 divided by 4/5 =

Answers

The quotient of dividing the given fractions is 20/9.

Given that, 1 7/9=16/9 and 4/5.

From the given fractions we need to divide 16/9  by 4/5.

How to divide the fractions?

A fraction represents a part of a whole or, more generally, any number of equal parts.

The first step to dividingfractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

Now, 16/9÷4/5

Change ÷ to × and reciprocate 4/5 to 5/4.

Then, 16/9÷4/5=16/9×5/4=20/9

Therefore, the quotient of the given fraction is 20/9.

To learn more about the division of fractions visit:

brainly.com/question/17205173.

#SPJ2

Answer:

20/9

Step-by-step explanation:

16/9 * 5/4

4/9 * 5

20/9

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Answers

D. If I told you to walk 1 metre or 100cm you would have walked the same distance but more cm as the ratio of cm:m is 100:1, this is the same thing for surface area except the ratio is 1000:1 
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