the equation of a circle is x2 + y2 - 12x + 6y + 20 = 0.
what is the radius of the circle? enter your answer in the box. r = ___ units​

Answer:

84 ounces of pure gold

Step-by-step explanation:

Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy that is 75% gold?

Pure gold = 100% gold

Let the number of ounces of pure gold = x

Hence, we have the equation

40% × 60 ounces + 100%× x ounces = 75%(60 + x)ounces

= 0.4 × 60 + 1x = 0.75(60 + x)

= 24 + x = 45 + 0.75x

Collect like terms

x - 0.75x = 45 - 24

0.25x = 21

x = 21/0.25

x = 84 ounces

Therefore, we need 84 ounces of pure gold

84 ounces of pure gold must be added

The first is to write out the parameters

Jess has 60 ounces of alloy

40% of this alloy is pure gold

The number of ounces that should be added can be calculated as follows;

Let y represent the unknown

40/100(y)(60) + 100/100(y)= 75/100(60+y)

24 + y= 0.75(60+y)

25 + y= 45 + 0.75y

24 - 45= 0.75y -y

-21= -0.25y

y= 21/0.25

y= 84

Hence the number of ounces of pure gold required is 84 ounces

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Answer:

[tex] l = \sqrt{261}\: in[/tex]

Step-by-step explanation:

Height of the cone h = 15 in

Radius of the cone r = 12/2 = 6 in

We need to find slant height (l) =?

[tex] \because l = \sqrt{ {r}^{2} + {h}^{2} } \\ \\ \therefore l = \sqrt{ {6}^{2} + {15}^{2} } \\ \\\therefore l = \sqrt{36 + 225} \\ \\\therefore l = \sqrt{261} \\ [/tex]

Answer:

l = √261 in

Step-by-step explanation:

Hope this helps

Answer: $60

Step-by-step explanation:

Given

The price of an item is $80

The discount on it is 25%

Net payable price =Regular Price- discount

[tex]\Rightarrow \text{Net Payable Price(P)}=80-25\%\ \text{of}\ 80\\\Rightarrow P=80(1-0.25)=80\times 0.75\\\Rightarrow P=\$60[/tex]

Answer:

36

Step-by-step explanation:

You do 120 multiplied by .3 to get 36. This makes the discount amount is $36 which also means you only pay $84 for the coat.

Answer:

Step-by-step explanation:

The sum of these adjacent angles must sum to 180 degrees (also the sum of all angles must be 360)

a+5a=180

6a=180

a=30

The larger angle is 5a so the larger angle is

5(30)=150 degrees.

Answer:

Step-by-step explanation:

We determine whether lines are parallel or perpendicular by getting their slopes

For line 1; (1, 0), (7, 4)

Slope m = 4-0/7-1

M1 = 4/6

M1 = 2/3

Hence the slope of M1 is 2/3

For Line 2; (7, 0) , (3, 6)

M2 = 6-0/3-7

M2 = 6/-4

M2 = -3/2

Take the product of the slopes

M1 * M2 = 2/3 * -3/2

M1M2 = -1

Since the product of their slope is -1, hence the lines are perpendicular

Answer:

0.2 and 11.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

CD = ED --- (secant property)

so, ==>>

13x - 16 = 4x + 11

13x - 4x = 11 + 16

9x = 27

x = 27÷9

x = 3

side ED = 4x + 11 = 4×3 + 11

side ED = 23

side FE = 12

ΔFED = 90° ...... (tangent secant property)

so.........

FE² + ED² = FD² ......... ( by pythagoras theorm)

12² + 23² = FD²

144 + 529 = FD²

673 = FD²

√673 = FD

26 = FD

Answer:

26

Step-by-step explanation:

Answer:

5 units because 5 times 5 is 25

Answer:

8y(7x^3-4x+2)

Step-by-step explanation:

Group and factor out the greastest common factor then combine

Answer:

this is my alt here ya go champ

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The scale factor of the dilation from A to B  is, 1.67

Scale factor is a mathematical term, which we use to scale 2-dimensional and 3-dimensional shapes. Scale factor is a measure of similar figures. Those figures who look the same but are in different sizes.

For example, Two spheres look similar but could have different radii.

Given that,

Two parallelograms

A & B

First one has side length = 4.5 unit

Second one has side length = 7.5 unit

For calculating scale factor, we need to found ratio of two sides length

Scale factor  =  7.5/4.5

                     =  1.66666

Hence, the scale factor is 1.67

To know more about Scale factor check:

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Answer:

I believe it is 2

Step-by-step explanation:

awq-pzcq-mje

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22cm

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girl

Answer:7 - 9 = -2

Step-by-step explanation:

Answer:

The number of stitches is 5 times the length.

Step-by-step explanation: i took edge

Answer:

A Method For Simple Cases

Step 1: Find two numbers that multiply to give ac (in other words a times c), and add to give b.

Step 2: Rewrite the middle with those numbers:

Step 3: Factor the first two and last two terms separately:

Step-by-step explanation:

Answer: 32002544

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.) Find the slope

2.) Use the  slope-point form for a line

[tex]y-y_0=m(x-x_0)[/tex]

Pick any point (-4,-4) or (4,6) into [tex]y_0 and x_0\\[/tex]

but your equation is y= 5/4x+1

Answer:

y= x^3+3x^2-6x-8

Step-by-step explanation:

Answer:

The area will be "34 unit²".

Step-by-step explanation:

The diagram is missing throughout the given question. Below is the figure attached.

According to the question,

The side of squares will be:

=  [tex]\sqrt{(5)^2+(3)^2}[/tex]

=  [tex]\sqrt{25+9}[/tex]

=  [tex]\sqrt{34} \ units[/tex]

Hence,

The area of square will be:

=  [tex](side)^2[/tex]

=  [tex](\sqrt{34} )^2[/tex]

=  [tex]34 \ unit^2[/tex]

Answer:

18in

Step-by-step explanation:

Given data

Height h= 15 in

Area= 135 in^2

The expression for the area is given as

Area= 1/2 Base * Height

substitute

135= 1/2* Base*15

135= 7.5 Base

Base= 135/7.5

Base=  18 in

Hence the base is 18in

Answer:

D or A i think

Step-by-step explanation:

pls mark brainliest

Answer:

B. Angle 2 and Angle 7 are alternate interior angles.

Step-by-step explanation:

Angle 2 and Angle 7 are actually alternate exterior angles. They are on opposite sides of the transversal and so the "alternate" part is correct, however, alternate interior angles are ones on the inside of the transversal, like angles 4 and 5.

Answer:

210 mm2

Step-by-step explanation:

you add both the bases and then height ;)

Answer:

-4.2,-3.5,-2.1,-1.5,-1,-0.5,0.5,3.5,4.8

Answer:

0.5, 3.5, 4.8, -0.5, -1, -1.5, -2.1, -3.5, -4.2

Step-by-step explanation:

hope this helps :)

Answer:

x = 1

y = 0

Step-by-step explanation:

3x - y = 3

2x - y = 2 , then y = 2x - 2

substitute for y:

3x - (2x - 2) = 3

combine like terms:

x + 2 = 3

subtract 2 from both sides of the equation:

x = 1

y = 2(1) - 2 = 0

Answer:

x=5, y=8

Step-by-step explanation:

let 3x-y=3 be [1]

and 2x-y = 2 be [2]

Change up [2] to:

2x=2+y

2x-2 = y and name this [3]

Sub [3] into [1]

3x-(2x-2)=3

3x-2x-2=3

x-2=3

x=5

Sub x=5 into [3]

2(5)-2=y

10-2=y

8=y

Answer:

x=1

Step-by-step explanation: