MATHEMATICS HIGH SCHOOL

What is the radius of a circle with center (2,1) and containing point (0,1)

Answers

Answer 1

Answer:

Answer:

The radius is 2 or The simplified radius is 4 ( if needed).

Step-by-step explanation:

- The equation of a circle is:

$(x-h)^2+(y-k)^2=r^2$ where the center is $(h,k)$ , the point as $(x,y)$ and the radius $r^2$ .

-Put both the center and the point onto that equation:

$(0-2)^2+(1-1)^2=r^2$

-Then, solve them up:

$(0-2)^2+(1-1)^2 =r^2$

$(-2)^2+0=r^2$

$4 + 0=r^2$

$4 = r^2$

$√(4) =√(r^2)$

$2=r$

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Answers

Answer:

Step-by-step explanation:

Brigid is building a table with her mom as a weekend project. She needs 5.875 feet of wood. Whatis this amount as a fraction? (1 point)

Answers

Answer:

5.875 as a fraction is 47/8.

Step-by-step explanation:

no explanation lol

Final answer:

The fractional equivalent of the decimal number 5.875 is 5 7/8. This is found by converting the decimal part of the number to a fraction (0.875 becomes 875/1000), simplifying it to the lowest form (7/8), and tacking it onto the whole number part (5).

Explanation:

The fraction equivalent to the decimal number 5.875 feet can be obtained by understanding decimal placement and fractions. A fraction represents a part of a whole and in decimal numbers, the place value after decimal point represents tenths, hundredths, thousandths, and so on. Looking at the decimal number 5.875, the three digits after the decimal represent the thousandth place.

So, convert 875 thousandths to a fraction. In fraction form, it would thus be 875/1000. However, we simplify to get the equivalent fraction by dividing both the numerator (875) and the denominator (1000) by their greatest common divisor (GCD) which is 125. Hence, 875 divided by 125 gives 7, and 1000 divided by 125 gives 8. Consequently, the fraction for 0.875 is 7/8.

Therefore, 5.875 feet is equal to 5 7/8 feet in fractional form.

Learn more about Converting Decimals to Fractions here:

brainly.com/question/11252520

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Select the correct answer. The sum of two numbers is -18. If the first number is 10, which equation represents this situation, and what is the second number? A. The equation that represents this situation is 10 − x = -18. The second number is 28. B. The equation that represents this situation is 10 + x = -18. The second number is -28. C. The equation that represents this situation is x − 10 = -18. The second number is -8. D. The equation that represents this situation is -10 + x = -18. The second number is -8.

Answers

Answer:-28

Step-by-step explanation:

Let A is the second number

the first number is 10.

The total is -18

=> 10 + A =-18 <=> A=-18-10=-28

Can u please get help with this Question?

Answers

the answer is positive 0.25

A circle has a circumference of 196π
What is the radius of the circle?

Answers

Circumference=2πr
196π=2πr. Divide both sides by 2π so the answer is 98

A ball is thrown horizontally with a speed of 10 m/s, from the edge of the top of the building of height 19.6m, and later strikes the ground.1) For how long was the ball in the air?
2)what is the vertical component of the velocity just before the ball strikes the ground?
3) what is the horizontal component of the velocity just before the ball strikes the ground?
4)how far from the base of the building did the ball strike the ground?
5) what is the speed of the ball just before it strikes the ground?

Answers

1) You need to solve t - $19.6=.5(9.8)t^2$
2) Then solve f $vf^2=2(9.8)(19.6)$
3) As it's constant it is still 10m/s
4) You need to use the time from part 1 times 10m/s
5) Use Pythagorean theorem with 10m/s and vf

I am pretty sure it will help you.

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