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3 years ago

The circle below is centered at the point (8,4) and has a radius of length 4.

Mathematics

1 answer:

Irina-Kira [14]3 years ago

5 0

Answer:

$\textbf{The equation of the circle is: $ {(x-8)}^2 + {(y-4)}^2 = 16 $.}\\$

Step-by-step explanation:

$\textup{The equation of a circle is given by:}\\$$c = \sqrt{{(x-h)}^2 + {(y-k)}^2} = r^2$$\\\textit{where $(h,k)$ represents the centre of the circle and $r$ the radius.}\\\textup{Given the centre of the circle is $(8,4)$ and radius is $4$.}$ \therefore $ We have $$c = \sqrt{{(x-8)}^2 + {(y-4)}^2} = 4^2$$$\implies {(x-8)}^2 + {(y-4)}^2 = 16$$

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Llana [10]

Answer:

Relative frequencies

First row

0.8125 ,0.1875 ,16

Second row

0.555 ,0.444 ,9

third row

18 , 7 , 25

Step-by-step explanation:

Given data

allowance No allowance total

Chores 13 3 16

No chores 5 4 9

Total 18 7 25

Relative frequencies

allowance No allowance total

Chores $\frac{13}{16} = 0.8125$ $\frac{3}{16} = 0.1875$ 16

No chores $\frac{5}{9} = 0.555$ $\frac{4}{9} = 0.444$ 9

Total 18 7 25

3 0

3 years ago

Help Me pls its due today pls

skelet666 [1.2K]

The answer is 0 quarts.

Remember
1 gallon contains 64ounces
1 cup contains 8ounces
1 pint contains 16ounces

We know that 2 gallons (128oz total) are needed to fill the bucket.

First, Omar pours 64 ounces into the bucket so we have 128 - 64 = 64 ounces left to fill.

Second, Penny pours 8 cups which is the same as 64 ounces (8cups x 8 ounces = 64 ounces total) into the bucket.

Stop here and add up the water in the bucket.

The bucket has only 128 ounces capacity total which means Omar and Penny have filled up the bucket with 64 ounces each. 64 x 2 = 128 ounces

The bucket is full, Ronnie actually makes it overflow. So Sierra will pour 0 quarts of water into the bucket.

8 0

3 years ago

Read 2 more answers

ANSWER THIS!!!!!!!!!!

cluponka [151]

Answer:

r = sqrt( 3V/( pih))

Step-by-step explanation:

V = 1/3 pi r^2 h

Solving for r

Multiply each side by 3

3V = pi r^2h

Divide each side by pi h

3V/( pi h) = r^2

Take the square root of each side

sqrt( 3V/ (pi h) )= sqrt( r^2)

sqrt( 3V/ (pi h)) = r

4 0

2 years ago

Tony took a math quiz last week. There were 80 problems on the quiz and Tony answered 70% of them correctly. How many problems d

Nutka1998 [239]

Answer:

56 problems

Step-by-step explanation:

So we already know that the answer is: 56. However, a good help is knowing how to obtain this answer from the data provided.

Tony's quiz had 80 questions

Tony correctly answered 70% of them.

We can always write a percentage amount as a ratio by dividing the amount by 100.

$70\% = \frac{70}{100} = 0.7$ .

This means that for every 100 questions, tony will respond correctly 70.

So, if Toni did a questionnaire of n questions, the amount that will answer correctly is calculated by the following expression:

$C = n*\frac{70}{100}$

If $n = 80$ then:

$C = 80 * \frac{70}{100}\\\\C = 56$

7 0

3 years ago

Read 2 more answers

Theo bought 2 hot dogs and two drinks for $4.00. At the same concession stand, Vicky bought 3 hot dogs and a drink for $4.50. Wr

Sedbober [7]

Answer:

The hot dog are $2.63

Step-by-step explanation:

Hot Dogs = H

Drinks = D

2H + 2D = 4

Divide both sides by 2

H + D = 2

Subtract D from either side

H = 2 -D

3H + D = 4.50

Plug in 2 - D for H

3(2- D ) + D = 4.50

6 - 3D + D = 4.50

6 - 4D = 4.50

Add 6 to either side

-4D = 10.50

Divide either side by -4

D = -2 . 625

3 0

3 years ago