please view the picture

Answer:

a=11

Step-by-step explanation:

Answer:

a = 11

Step-by-step explanation:

Answer:

Hello! I'm sorry I couldn't get to your question sooner. I just completed this quiz!

The equation of the circle that represents the dartboard is (x-10)^2 + (y-17/3)^2 = 9/16, where the origin is the lower-left corner of the room and the unit of the radius is feet.  

The position of Sasha's dart is represented by the coordinates (10.25,5). Sash's dart does land on the dartboard.

This quiz was completed on k12, lesson 3.03.

The question is an illustration of equation of circles.

From the question, we understand that:

[tex]\mathbf{h = 5\ ft\ 8\ in }[/tex] ---- the height at which the dartboard was hung

[tex]\mathbf{d = 18\i n }[/tex] ---- the diameter of the dartboard

[tex]\mathbf{B = 10ft}[/tex]  --- the bull's eye

[tex]\mathbf{D = (10.25ft, 5ft)}[/tex] --- Sasha's dart

Equation of the circle

First, we convert all units to feet

This is done by dividing inches units by 12

[tex]\mathbf{h = 5\ ft\ 8\ in }[/tex]

[tex]\mathbf{h = 5\ ft\ + \frac{8}{12}\ ft }[/tex]

[tex]\mathbf{h = 5\ ft\ + \frac{2}{3}\ ft }[/tex]

Take LCM

[tex]\mathbf{h = \frac{15 + 2}{3}\ ft }[/tex]

[tex]\mathbf{h = \frac{17}{3}\ ft }[/tex]

[tex]\mathbf{d = 18\i n }[/tex]

[tex]\mathbf{d = \frac{18}{12}ft}[/tex]

[tex]\mathbf{d = \frac{3}{2}ft}[/tex]

Divide by 2 to calculate radius

[tex]\mathbf{r = \frac{3}{2*2}ft}[/tex]

[tex]\mathbf{r = \frac{3}{4}ft}[/tex]

The equation of the circle is represented as:

[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]

In this case:

[tex]\mathbf{a = B = 10ft}[/tex] -- the distance between the bull's eye and the wall

[tex]\mathbf{b = h = \frac{17}{3}\ ft }[/tex] ---- the height at which the dartboard was hung

So, we have:

[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]

[tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = (\frac 34)^2}[/tex]

Evaluate the exponents

[tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]

Hence, the equation of the circle is: [tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]

Does Sasha’s dart land on the dartboard?

Yes her dart lands on the dartboard because

[tex]\mathbf{D = (10.25ft, 5ft)}[/tex] is within the circumference of the dartboard

Read more about equation of circles at:

https://brainly.com/question/23988015

[tex]For \: x = -1 , y = 2(-1) + 3 = 1 [/tex]

[tex]For \: x = 0, y = 2(0) + 3 = 3[/tex]

[tex]For \: x = -3, y = 2(-3) + 3 = -3[/tex]

[tex]For \: x = 2, y = 2(2) + 3 = 7 [/tex]

Let us see how we can solve this step by step each :

6417 ÷ 31 , we divide 64 by 31 and get the resulting quotient as 2 .

Then we bring down 1 . So , the number below is 21 , which cannot be divided by 31 .

So , we will have to bring down 7 for which we have to add a 0 to the quotient . Then the quotient will become 20 as of now .

As 217 is divisible by 3 , I put seven near 21 , making the quotient as 217 and get the remainder 0 .

Hence in the correct solution the correct quotient = 207 .

But the same thing has not been done in Xavier's solution as he has put a 0 after 7 instead of putting it before 7 . Hence , Xavier's mistake is that he put the 0 after 7 instead of putting it before 7 .

In Xavier's solution the quotient is = 270

Therefore , Xavier's mistake is that he put the 0 after 7 instead of putting it before 7 .

The correct options are :-

Option b is correct because angle x and y will add up to 180° as they are a linear pair . Option c is correct because angle y and angle z are vertically opposite angles . Option D is correct because angle x and angle z are a linear pair .

Answer:

There are 455 ways

Step-by-step explanation:

Here, we want to find the number of ways to select 12 donuts out of 18 donuts given that all the donuts are different

Mathematically, that would be;

18 C 2

= 18!/(18-12)!12! = 18!/6!12! = 455

Answer:

first one: a,d,e

second one: d

Step-by-step explanation:

pemdas

Answer:

1.- A

2.- A

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

6x = x + 20

Subtract x from both sides

5x = 20

Divide by 5 on both sides

x = 4

Confirm

4 times 6 equals 24, and 4 + 20 is 24 as well.

Answer:

y>7

Step-by-step explanation:

y-4>3

+4     +4

y>7

Answer:

I can't really answer this question because there is no picture of actual question but 1 foot = 12 inches so for instance we could do 6 inches + 3 inches = 9 inches.      

Step-by-step explanation: How we would solve this problem is simple.

6 + 3 = 9  if you have to turn this into a fraction it would be 9/12 = (3/4).

Answer:

z= 168

Step-by-step explanation:

proportion zinc to copper = 4/17

4/17 = z/ 714

17 • z = 4 • 714

17 • z = 2856

z= 2856/17

z = 168

Answer:

60

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

g(1)=-2-1

g(1)=-3

Brainliest appreciated!

Answer:

B

Step-by-step explanation:

the correct answer is b

Option B has more, if you want to have mathematical work just set each of the square side lengths to 1. In the first figure, you have 4 units square for each square so 2 units sq on the first and 4 on the second. Then since the other shapes are half circles or 1/4 circles we can put them together to get full and partial circles. The first shape had 2 full circles and the second shape has 1.5. SO using 1 as the radius, you get 3.14 units sq per circle. Leaving you with (circles) 6.28 + (squares) 2 leaving you with 8.28 units sq for figure 1 and (circles) 4.71  + (squares) 4 leaving you with 8.71 for figure 2. This leaves you with a .43 difference. Hope this helps

Answer:

The areas of all 3 shaded regions are equal: about 30.96 square units (144 - 36π square units). The area of the entire square is 144 square units, because 12⋅12=144. The area of the 1 large circle is approximately 113.04 square units, because 3.14⋅62=113.04. The area of the 4 medium circles is also 113.04 square units, because 3.14⋅32=28.26, and 28.26⋅4=113.04. The area of the 9 small circles is also 113.04 square units, because 3.14⋅22=12.56, and 12.56⋅9=113.04.

Step-by-step explanation:

Answer: -1/9

Explanation: Perpendicular lines have negative reciprocal slopes.

A negative reciprocal slope is a fancy way of

saying flip the fraction and change the sign.

Notice that our slope is an integer.

We can turn it into a fraction by putting it over 1.

So we have 9/1.

A line perpendicular to this would be a negative reciprocal.

So flip the fraction, giving us 1/9, and change the sign to get -1/9.

Answer:

D: 588

Step-by-step explanation:

The rectangle below has been enlarged by a scale of 3.5

8 x 3.5 = 28

6 x 3.5 = 21

Answer:

800000

Step-by-step explanation:

Answer:   y= -1/2x + 1  

Step-by-step explanation:

The equation will be represented in slope intercept form because the line is not going through the origin.

Find two points on the line and use them to find the slope since we already know that the y-intercept is 1 because that is where the line intersects the y-axis.

The points  (0,1)  and (2,0)  will be used to find the slope because it is on the line.

The slope will be the difference between the  y coordinates divided by the difference of the x coordinates.  

1- 0 = 1

0 - 3 = -2

Slope:  -1/2  

The equation will be  y= -1/2x + 1

Answer:

non - collinear points

Step-by-step explanation:

points that dont lie on the same line

Answer:

The answer is C.

Step-by-step explanation:

3/4 is equal to 0.75. If you combine 0.75 with -20, then it is 20.75.

Answer:

C

Step-by-step explanation:

Answer:

m=5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Step 1:

9 = 2m + 2 - 3        Equation

Step 2:

9 = 2m - 1        Combine Like Terms

Step 3:

10 = 2m       Add 1 on both sides

Step 4:

m = 10 ÷ 2       Divide

Answer:

m = 5

Hope This Helps :)

Answer:

8.6m

Step-by-step explanation:

mark me as the brainliest

Answer:

8.6 m

Step-by-step explanation:

Given the area, squareroot the area of the square and you will find the length of it's side.

I think the the answer is 20

Answer:

3x^2+1

Step-by-step explanation:

you cannot add in the 3x^2 and the -4 and 5 but you can add the -4 and the 5

I hope this helps!

Step-by-step explanation:

3x to the power 2 is 9x;

New equation: 9x-4+5 = 0

9x- (4+5) = 0

9x-9=0

x=1    

Answer:

1. alterative exterior angles.

Step-by-step explanation:

I don't know what the rest of the other options are. So I can't answer the rest.

Answer:

<3, <2 or <6

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

i had it in usatestprep