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3 years ago

What is the center of a circle represented by the equation (x+9)^2+(y-6)^2=10

Mathematics

2 answers:

IRINA_888 [86]3 years ago

6 0

Answer:

(-9,6)

Step-by-step explanation:

elena55 [62]3 years ago

6 0

Answer:

(- 9, 6)

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + 9)² + (y - 6)² = 10 ← is in standard form

with (h, k) = (- 9, 6) ← coordinates of centre

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A cone has a height of 20 centimeters and a volume of 4,710 cubic centimeters. What is the area of the base of the cone?

olchik [2.2K]

Answer:

706.5 cm^2

Step-by-step explanation:

First we need to find the r to find the area of the base which is the circle so we use the volume to find r

V = 1/3πr^2h now adjust the equation for r

r = √3V/πh

r = √3(4710)/20π

r= 15

now that we have r, the base of cone is a circle so we use the area formula for circle

area = πr²

area = 3.14 (15)^2

area of base = 706.5 cm^2

4 0

3 years ago

Find the LCM of 315,420,525 using prime factorisation method with slove it

Vedmedyk [2.9K]

$\boxed{\sf \:\begin{cases}\\\begin{gathered} {\underline{{ \sf {\blue{\Large\bf \underbrace{ {\rm {\purple{\begin{array}{r | l}\large\rm{\red{ 5}}&\underline{315,420,525}\\\large\rm{\red{ 3}}& \underline{63,84,105}\\\large\rm{\red{3}}&\underline{21,28,35}\\\large\rm{\red{ 7}}&\underline{7,28,35}\\\large\rm{\red{2}}&\underline{1,4,5}\\\large\rm{\red{2}}&\underline{1,2,5}\\\large\rm{\red{5}}&\underline{1,1,5}\\&1,1,1\end{array}}}}} }}}}}\end{gathered}\\\end{cases}}$

LCM = 5 × 3 × 3 × 7 × 2 × 2 × 5

LCM = 6300

<u>Hence, the LCM of 315 , 420 , 525 is 6300</u>

5 0

3 years ago

Read 2 more answers

How do you use a model to show 3.1 = 3.10

n200080 [17]

Because every number with the decimal point have a zero infinit so it's not matter they're are same

5 0

3 years ago

On Tuesday Conrad had 3 times as many sales as on Monday. On Wednesday, he had 9 times as many sales as on Monday. Over the thre

Vlad1618 [11]

Answer:

Conrad had 56 sales on Monday , 168 sales on Tuesday and 504 sales on Wednesday.

Step-by-step explanation:

Let x be the no. of sales on Monday

We are given that On Tuesday Conrad had 3 times as many sales as on Monday.

So, Conrad had sales on Tuesday = 3x

We are also given that On Wednesday, he had 9 times as many sales as on Monday.

So, Conrad had sales on Wednesday = 9x

Over the three days, he had a total of 728 sales

So, x+3x+9x=728

13x=728

$x=\frac{728}{13}$

x=56

Conrad had sales on Tuesday = 3x =3(56)=168

Conrad had sales on Wednesday = 9x=9(56)=504

Hence Conrad had 56 sales on Monday , 168 sales on Tuesday and 504 sales on Wednesday.

7 0

3 years ago

HELP PLEASE!!!!!! Anaya bought a sweater that was on sale. The sweater originally cost $34.50 but was purchased for $27.60. What

Elan Coil [88]

Answer: 80%. Hope this helps, please consider making me Brainliest.

Step-by-step explanation:

To find the percentage, divide the sale cost by the original cost:

27.60/34.50

Let's multiply both sides by 10 to make the operation easier:

27.6/34.5 ( I eliminated the zero's because they kind of have no use) -->

276/345, now solve:

276/345 = 0.8

0.8 = 80%

The percentage is 80%.

5 0

1 year ago