Answer:
Step-by-step explanation:
1/4
1/3
1/2
1
2
3
4
9.15
9.3
9.376
9.51
The standard height from the floor to the bull’s-eye at which a standard dartboard is hung at 5 feet 8 inches. A standard dartboard is 18 inches in diameter. Suppose a standard dartboard is hung at standard height so that the bull’s-eye is 10 feet from the wall to its left. Sasha throws a dart at the dartboard that land at point 10.25 Feet from the left wall and 5 feet above the floor. Does Sasha’s dart land on the dartboard? Drag the choices into the boxes to correctly complete the statements.
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.
The equation of the dartboard circle is: [tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]Sasha's dart lands on the dartboard becauseFrom 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
in 2015, the number of fish in a pond was 80. In 2016 The number of fish declined by 75% How many fish were in the pond in 2016?
I think the the answer is 20
Please help me solve both of them
Answer:
first one: a,d,e
second one: d
Step-by-step explanation:
pemdas
Answer:
1.- A
2.- A
Step-by-step explanation:
what number is 1/10 of 8000000
Answer:
800000
Step-by-step explanation:
how many inches of lumber are remaining?
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).
. (2 points each) How many ways are there to choose a dozen (12) donuts from 18 varieties if(a) there are no two donuts of the same variety
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
Points that do not lie in the same plane are called________points
Answer:
non - collinear points
Step-by-step explanation:
points that dont lie on the same line
A line has a slope of 9 what is the slope of a line it is perpendicular to this line? *
9
-9
1/9
-1/9
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.
Make a table for the function. You will be using your table to graph on the next pro y - 2x + 3 Domain:{-3, -1, 0, 2} х y - 1 0 2
[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]
Y-4>3 solve the question
Answer:
y>7
Step-by-step explanation:
y-4>3
+4 +4
y>7
Name the slope and one point that is on the line
represented by the equation: y-6 = 9(x - 1)
A) m = -9 and point (-1,-6)
B) m = 9 and point (-1,-6)
C) m = 9 and point (1,6)
D) m = -9 and point (1,6)
Answer:
B
Step-by-step explanation:
the correct answer is b
One number is six times as large as a certain smaller number. Let x represent the smaller number.
Write the number that is 20 more than the smaller number.
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.
The rectangle below has been enlarged by a scale of 3.5
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
In a certain chemical, the ratio of zinc to copper is 4 to 17. A jar of the chemical contains 714 grams of copper. How many grams of zinc does it contain?
It contains
grams of zinc
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:
A thermometer shows a temperature of Negative 20 and three-fourths degrees. A chemist recorded this temperature in her notebook using a decimal. Which number did the chemist write in the notebook?
Negative 21.ModifyingAbove 4 with bar
Negative 21.ModifyingAbove 3 with bar
Negative 20.75
Negative 20.34
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:
Just the picture, Geometry.
The correct options are :-
Option (b) x + y = 180 Option (c) y = z Option (d) x + z = 180Option 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 .
A high definition radio station charges $200 per year in addition to $50 per month for
the first 3 months to receive its broadcast.
Answer:
4
Step-by-step explanation:
Given g(x) = –2x – 1, find g(1).
Answer:
-3
Step-by-step explanation:
g(1)=-2-1
g(1)=-3
Brainliest appreciated!
please help meeeeeeeeeeeeee
4. What is the equation of the line?
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
Can someone please help me with this question (there are more questions like this that I will post later, if your answer is correct I will give you brainliest)
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.
HELP MEE ;-;
2/3a - 7= 1/3 Round your answer to the nearest tenth.
Answer:
a=11
Step-by-step explanation:
Answer:
a = 11
Step-by-step explanation:
Which word best describes Dr. Reefy
Lines l and m are parallel lines cut by the transversal line t. Which angle is congruent to ∠7?
Answer:
<3, <2 or <6
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
i had it in usatestprep
9=2m+2-3
please tell me what dis is
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 :)
Each square in Figures D and E has a side length of 1 unit. Compare the area of the two figures. Which figure has more area? How much more? Explain or show your reasoning.
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:
the area of a square is 73.96 m^2 .calculate the length of its side.
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.
3x^2-4+5= 0 PLEASE HELP ASAP will mark brainliest
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
Use long division to find the quotient below.
(16x3 + 40x2 + 72) - (2x+6)
A. 8x2 + 3x + 12
O B. 8x2 - 4x + 12
C. 8x2 + 5x + 12
D. 8x2 - 6x + 12
Which are vertical angles?