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2 years ago

Find the circumference of each circle. Use 3.14

Mathematics

1 answer:

Soloha48 [4]2 years ago

7 0

Answer:

Step-by-step explanation:

42(3.14)=131.9(nearest tenth)

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The point D(2, -5) is rotated 90° counterclockwise around the origin. What are the coordinates of the resulting point, D′?

jeyben [28]

Answer:

D' = (5, 2)

Step-by-step explanation:

Try to join D and the origin using a line. Counterclockwise means in an opposite direction of rotation of the clock hands. So draw another line towards the right which is perpendicular to the previous line to fine the answer. Remember the length of the lines should be equal.

8 0

3 years ago

What is the radius of a circle given by the equation x2 + y2 – 2x + 8y – 47= 0? radius = units

il63 [147K]

ANSWER

The radius is 8

EXPLANATION

We were given,

${x}^{2} + {y}^{2} - 2x + 8y - 47 = 0$

We rewrite the above equation to obtain,

${x}^{2} - 2x \: \: \: \: + {y}^{2} + 8y \: \: \: \: = 47$

We now add half the square of the coefficient of
$x \: and \: y$
to both sides of the equation to get,

${x}^{2} - 2x + ( - 1) ^{2} + {y}^{2} + 8y + {(4)}^{2} = 47 + ( - 1) ^{2} + {4}^{2}$

We now got two perfect squares on the left hand side of the equation,

$(x - 1)^{2} + {(y + 4)}^{2} = 47 + 1 + 16$

$(x - 1)^{2} + {(y + 4)}^{2} =64$

$(x - 1)^{2} + {(y + 4)}^{2} = {8}^{2}$

By comparing to the general formula of the circle,

${(x - a)}^{2} + {(y - b)}^{2} = {r}^{2}$

We can see that the radius is 8.

4 0

2 years ago

Read 2 more answers

I WILL MARK BRAINIEST<br> PLEASE HELP ASAP ITS DUE

Daniel [21]

Answer:

A) 1 : 4

B) 1 : 2

C) Base of M = 10 units

Step-by-step explanation:

The ratio of the area of triangle M to triangle N

$\frac {40}{160}= \frac{1}{4} = 1 : 4$

The ratio of the side lengths of triangle M to triangle N

$\sqrt{ \frac {40}{160}} = \sqrt{\frac{1}{4}} \\\\={\frac{1}{2}} \\\\=1 : 2$

C) Let the base of triangle M be b units.

$\sqrt{ \frac {40}{160}} = \frac{b}{20}\\\\\frac{1}{2}= \frac{b}{20}\\\\2b = 20\\\\b = \frac{20}{2} \\\\b = 10$

8 0

2 years ago

An ice cream factory makes 340 quarts of ice cream in 10 hours how many quarts could be made in 12 hours what was that rate per

Orlov [11]

The answer would be 408 if u take 340 and divide it by 10, then you get 34 and times it by 12

5 0

3 years ago

A soccer field is 345 feet long.What is the length of the field in yards?

OleMash [197]

115. This is because there are three feet in a yard. If you divide the number of feet by three, you can find the number of yards. Therefore, 345 divided by 3 equals 115.

6 0

2 years ago