Terri estimates that 30% of 123 is about 60.

Given:

Center of a circle is (3,9).

Solution point is (-2,21).

To find:

The standard form of the circle.

Solution:

Radius is the distance between center (3,9) and the solution point (-2,21).

[tex]r=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]r=\sqrt{(-2-3)^2+(21-9)^2}[/tex]

[tex]r=\sqrt{(-5)^2+(12)^2}[/tex]

[tex]r=\sqrt{25+144}[/tex]

On further simplification, we get

[tex]r=\sqrt{169}[/tex]

[tex]r=13[/tex]

The radius of the circle is 13 units.

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where, (h,k) is the center and r is the radius.

Putting h=3, k=9 and r=13, we get

[tex](x-3)^2+(y-9)^2=(13)^2[/tex]

[tex](x-3)^2+(y-9)^2=169[/tex]

Therefore, the standard form of the circle is [tex](x-3)^2+(y-9)^2=169[/tex].

Answer:

7.66 km

Step-by-step explanation:

Let distance village is ; north of O = x

Using Pythagoras rule :

Sinθ = opposite / hypotenus

Opposite = x

Hypotenus = 10

θ = 50°

Sin50 = x / 10

0.7660444 = x / 10

x = 0.7660444 * 10

x = 7.6604444

x = 7.66

Answer:

[tex]15w - 4 = 41 \\ 15w = 41 + 4 = 45 \\ w = \frac{45}{15} \\ w = 3[/tex]

Answer:

14√14

decimal: 52.38 (52.38320....)

Answer:

X= 62°

Step-by-step explanation:

Remember a straight line is 180°. If we were to try to find x, we would have to subtract 180 by 118. If we do that then we get 62°. And I think there corresponding angles.

BTW, I'M VERY SORRY IF MY ANSWER IS WRONG!! I HAVEN'T DONE THIS IN A YEAR!!! Use this as an example, or sum!!! Good luck.

Answer: 9/20

Step-by-step explanation:

[tex]2 \frac{1}{4}=2.25\\\\1 \frac{4}{5}=1.8\\\\2.25-1.8=0.45=\frac{9}{20}[/tex]

Answer:

$13.79

Step-by-step explanation:

$8.00+$2.00+$1.00=$11.00

7%=$0.77

$11.00+$0.77=$11.77

20%=$2.02

$11.77+42.02=$13.79

Answer:

27

Step-by-step explanation:

To find out how many people do something OTHER than running, you have to take the total amount of students participating and subtract the number of runners. 45 - 18 = 27.

Answer:

40%

Step-by-step explanation:

18÷45 = 0.4 × 100 = 40%

Answer:

L = 7/6 , and the correct option is B, the series diverges.

Step-by-step explanation:

Here we have that:

[tex]an = \frac{(3n + 3)*7^n}{6^{n+4}}[/tex]

Now we want to see the quotient test, then we need to do find the value of the quotient as n tends to infinity. Then we first need to find the quotient:

[tex]a(n + 1)/a(n) = \frac{(3(n + 1) + 3)*7^{n + 1}}{6^{n + 1 + 4}}*\frac{6^{n + 4}}{(3*(n) + 3)*7^{n}}[/tex]

We can simplify the right part to get:

[tex]\frac{(3(n + 1) + 3)*7^{n + 1}}{6^{n + 1 + 4}}*\frac{6^{n + 4}}{(3*(n) + 3)*7^{n}}= \frac{(3n + 3 + 3)*7^{n + 1}}{6^{n + 5}}*\frac{6^{n + 4}}{(3*n + 3)*7^{n}}[/tex]

[tex]\frac{(3n + 3 + 3)*7^{n + 1}}{6^{n + 5}}*\frac{6^{n + 4}}{(3*n + 3)*7^{n}}= \frac{(3n + 3 + 3)*7}{(3*n + 3)*6}[/tex]

Now we want to find the limit of this as n goes to infinity, we can see that both parts will tend to infinity, then we need to use the Lhopital rule and find the limit of the quotient of the first derivatives.

The first derivatives are:

For the denominator: (3*6)

For the numerator: (3*7)

Then we need to find the limit as n goes to infinity to:

[tex]\frac{3*7}{3*6} = \frac{7}{6}[/tex]

But this does not depend on the value of n, then the limit is just 6/7.

L = 7/6

And 7/6 > 1.

Then we can conclude that our series diverges.

Answer:

$36 (see below)

Step-by-step explanation:

First, you have to find how much they paid for one ticket.

If they paid $12 for 3, then they paid $4 for 1.

You could've also use a ratio:

$12         $x

-------- =  --------

 3             1

Cross multiply:

$12 (1) = $3x

$12 = $3x

$4 = x

So $4 for 1 ticket.

To find the cost of 9 tickets, just multiply the price by the number of tickets, which is:

$4 (9) = $36

Answer:

hope this helps

Step-by-step explanation:

Let a , b , c are three sides of a triangle

a : b : c = 3 : 4 : 5

a = 3x ,

b = 4x ,

c = 5x

a² = 9x²

b² = 16x²,

c² = 25x².

c² = a² + b²

by the pythagorean theorem,

a , b , c forms a right angled Triangle.

Answer:

yes it's a right angle triangle

Step-by-step explanation:

Given the sides are in the ratio 3:4:5.

Let ABC be the given triangle.

Let the sides be 3x,4x and hypotenuse be 5x.

According to Pythagoras theorem,

AC

2

=BC

2

+AB

2

BC

2

+AB

2

=(3x)

2

+(4x)

2

=9x

2

+16x

2

=25x

2

AC

2

=(5x)

2

=25x

2

AC

2

=BC

2

+AB

2

Hence ABC is a right angled triangle

Answer:

5 5/8 inches

Step-by-step explanation:

Set up and solve an equation of ratios:

 x           1

------- = -------

30 ft      64

Then 64x = 30 ft, and x (the length of the model car) is 30/64 ft, or

x = 0.469 ft, or 5 5/8 inches

Answer:

Jason has 14 points

Step-by-step explanation:

Kevin=10 points/2x thomas points

5x2=10 Correct

Thomas= 5 points

Thomas has 9 less points than Jason \

5+9=14

Jason= 14

Answer: it would be 4/2

Step-by-step explanation:

Answer:

the slope is 4/2, which can be simplified to 2/1.

Step-by-step explanation:

to find a slope, you have to identify two points that the line goes through. for example, in this problem. the slope travels through (0,0) and (2,4). from (0,0) tp (2,4), the slope travels to the side two points and up four. in the equation y=mx+b, m would be 4/2 or 1/2 since it's the slope. hope this helps a bit!!

Answer:

1= 0

2= 0.5

3= 1.5

4= 3

5= 5

6= 7.5

7= 10.5

8= 14

explanation: This is the edmentum answer

Answer:

1= 0

2= 0.5

3= 1.5

4= 3

5= 5

6= 7.5

7= 10.5

8= 14

Step-by-step explanation:

Answer:

[tex]\frac{3b}{a} = 210[/tex]

Step-by-step explanation:

Explanation:-

Given that  a× 70 = b

Dividing 'a' into both sides, we get

           ⇒ [tex]\frac{b}{a} = 70[/tex]

we have to find the value [tex]\frac{3b}{a}[/tex]

       [tex]\frac{3b}{a} = 3 X \frac{b}{a}[/tex]

          = 3× 70

         = 210

Answer: It will take approximately 21 years.

Step-by-step explanation:

6 percent of 5.25 is 0.315 (5.25 x 0.06 = 0.315)

Then you subtract 5.25 from 12 to calculate the number of years. (12 - 5.25 = 6.75)

Divide 0.315 from 6.75 (6.75 / 0.315 ≈ 21.4)

Answer:

FH ≈ 4.4

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos64° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{FH}{GH}[/tex] = [tex]\frac{FH}{10}[/tex] ( multiply both sides by 10 )

10 × cos64° = FH , then

FH ≈ 4.4 ( to the nearest tenth )

Answer:

B) 38

Step-by-step explanation:

Divide 50 by 1.3 to find how many presents Chris can wrap. It comes out to approximately 38.46, but because Chris cannot wrap 0.46 of a present, he can wrap up to 38 presents.

Answer:

y = x - 7

Step-by-step explanation:

Slope - intercept form: y = mx + b

2x - 2y = 14

    -2y  = -2x + 14

Divide the equation by (-2)

[tex]\frac{-2y}{-2}=\frac{-2x}{-2}+\frac{14}{-2}\\[/tex]

y =  x - 7

Answer:

x^2= 25

x = 5

pls mark as brainliest

The ratio as a fraction will be 4 : 5 or 4/5.

The ratio given is ; 28 days to 5 weeks .

We have to find out this ratio as a fraction in the simplest form ?

What will be the value of ratio ; 2 : 4 will be ?

The value will be 1 : 2.

We have to change given ratio as a fraction in simplest form for ;

28 days to 5 weeks. To convert it in ratio we firstly need to change 5 weeks into days.

∵ No. of days in 1 week = 7 days

⇒ No. of days in 5 weeks = 7 × 5 = 35 days

The ratio as the fraction will be ;

[tex]\frac{28 days}{35 days}[/tex]

taking 7 common from both numerator and denominator.

= [tex]\frac{4}{5}[/tex]

Thus , the ratio as a fraction will be 4 : 5.

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Answer:

Variant D

Step-by-step explanation:

Answer is x-2 and y+6

The translation using translation notation can be described as (x-2, y+6). The correct option is D.

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

The coordinates of a point are given as (x,y).

Now, the x-coordinate is on the horizontal axis, therefore, if the point is moving right it is going in the positive direction, while if the point is moving in the left direction it is going in the negative direction.

Similarly, the y-coordinate is on the vertical axis, therefore, if the point is moving upwards it is going in the positive direction, while if the point is moving in downwards its direction it is going in the negative direction.

Given that the coordinates are translated as 2 units left and 6 units up. Therefore, we can write,

(x,y) → (x-2, y+6)

Hence, the translation using translation notation can be described as

(x-2,y+6).

Learn more about Coordinates here:

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Answer:

6.6 pints of white paint is used to paint the bedroom walls

Step-by-step explanation:

Pints of blue paint used to paint the bedroom walls = 8.8

Ratio of blue paint used = [tex]\frac{1}{4}[/tex]

Therefore,

Ratio of white paint used = [tex]1-\frac{1}{4}=\frac{3}{4}[/tex]

Pints of white paint used to paint the bedroom walls = [tex]\frac{3}{4}(8.8)=3(2.2)=6.6[/tex]

Therefore,

6.6 pints of white paint is used to paint the bedroom walls.

Answer:

The answer is AAS.

Step-by-step explanation:

Since you have 2 angles that are the same and 1 side which are the same or congruent.

A = E

and C=C they are vertical angles so they are the same

And the AB and ED  side are also same.

Answer:

2(x-1)

Step-by-step explanation:

1. uncountable noun. You can use stuff to refer to things such as a substance, a collection of things, events, or ideas, or the contents of something in a general way without mentioning the thing itself by name. [informal] I'd like some coffee, and I don't object to the powdered stuff if it's all you've got.