The standard height from the floor to the bull's-eye at which a standard dartboard is hung is 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 11 feet from a wall to its left.
Samuel throws a dart at the dartboard that lands at a point 11.5 feet from the left wall and 5.5 feet above the floor.
Does Samuel's dart land on the dartboard?
Answer:
Yes, Samuel's Dart does land on the dartboard.
Step-by-step explanation:
The diameter of the dartboard = 18 inches
∴ The radius of the circle = 9 inches = 0.75 feet
The coordinate of the bull's-eye = 11 feet from the left wall, 5 feet 8 inches from the ground
∴ The coordinate of the bull's-eye = (11, 5.67)
The position of the dart Samuel throws = 11.5 feet from the left wall, 5.5 feet from the ground
∴ The coordinates of the position of the dart Samuel throws = (11.5, 5.5)
The equation for the area of a circle is given as follows;
(x - h)² + (y - k)² = r²
Where;
(h, k) = The coordinates of the center
r = The radius
Given that the bull's-eye is the center of the circle formed by the dartboard of radius 9 inches, we have;
(h, k) = The coordinates of the center
For the dartboard, we have;
(h, k) = The coordinates of the center = The coordinate of the bull's-eye = (11, 5.67)
h = 11, k = 5.67
∴ The equation of the circle formed by the dartboard = (x - 11)² + (y - 5.67)² = 0.75² = (3/4)² = 9/16
The square of the distance of the dart Michael throws from the bull's eye = (11.5 - 11)² + (5.5 - 5.[tex]\overline 6[/tex]7)² = 5/18
Therefore, given that the square of the distance of the dart Michael throws from the bull's eye < The square of the radius of the circle formed by the dart board and that the center of the, where the length of both the position of Samuel's dart and the radius of the circle formed by the dartboard are measured from the same point, (the center of the circle) we have;
The position of Samuel's dart is on the dart board
Therefore;
Yes, Samuel's Dart does land on the dartboard.
Consumer Math Test
You borrow $13,000 to buy a car. You borrow the money for 4 years and the interest rate is 2.5%
Answer:
$1300 hope this helps
Step-by-step explanation:
i= prn/100
i= 1300x2.5x4/100
i= $1300
-f+2+4f=8-3f what is the answer
Answer:
Answe 6 yeah i know 6
because you due
Answer:
1
Step-by-step explanation:
move like terms to each side
-f+4f+3f=8-2
simplify
6f=6
divide by 6 each side
f=1
A clothing business finds there is a linear relationship between the number of shirts n it can sell and the price P it can charge per shirt. In particular historical data shows that 2 thousand shirts can be sold at a price of 80 dollars each, and that 5 thousand shirts can be sold at a price of 65 each
Answer:
We have two data points:
2000 shirts can be sold for $80 each.
5,000 shirts can be sold for $65 each.
Then we can define the relation:
P(n).
Where P is the price, and n is the number of shirts.
Now, we know that we can model this as a linear relationship that passes through the points (2000, $80) and (5000, $65)
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
In this case, the slope is:
a = ($65 - $80)/(5000 - 2000) = -$0.005.
Then our equation is:
P(n) = -$0.005*n + b
Now let's find the value of b, we know that:
P(2000) = $80 = -$0.005*2000 + b
$80 = -$10 + b
$80 + $10 = b = $90
Our equation is:
P(n) = -$0.005*n + $90.
I SWEAr If you DO THIS I WilL GIVE brainiest AND GIVE 5 STAR RATING!! xoxo
Solve the system by substitution.
Y = 10x
7x + 3y =
37
Answer:
x=1 , y=10
Step-by-step explanation:
i attached photo of steps of solution
If you can answer this question please do it as soon as you can.
9514 1404 393
Answer:
6.045×10^40 ergs1.8×10^-2 mmStep-by-step explanation:
A) Your scientific or graphing calculator can tell you the product:
(3.9×10^33 erg/s)(1.55×10^7 s) = 6.045×10^40 ergs
__
B) 10^2 mm is 100 mm, about 4 inches, so 1.8×10^2 mm is about 7 inches. This is somewhat larger than the diameter of a human hair (and about the same size as the diameter of a human head).
1.8×10^-2 mm = 18 μm is a more reasonable estimate of hair diameter
(The range of hair diameters is reportedly about 17 to 181 μm, so the given dimension is on the low end.)
carry out the multiplication of the expressions in each of the following pairs 4p,q+r
Answer:
Step-by-step explanation:
4p ( q + r )
4pq +4pr
Hope this helps
plz mark as brainliest!!!!!!
I’m not very great a math and I’m a bit rush so yeah
Answer:
y=1/10x -9
Step-by-step explanation:
slope intercept formula - y=mx+b
Find the value of x
A-6
B- 4
C- 11
D- 5
Answer:
b.11
Step-by-step explanation:
3x+2+70=9x+6
put your like terms on one side:
9x-3x=70+2-6
6x=66
divide both sides by 6
x=11
Point AAA is at {(1, 5)}(1,5)left parenthesis, 1, comma, 5, right parenthesis and point CCC is at {(-5,-7)}(−5,−7)left parenthesis, minus, 5, comma, minus, 7, right parenthesis. Find the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that ACACA, C is 666 times as long as ABABA, B.
Answer:
(0, 3)
Step-by-step explanation:
If a point O(x, y) divides a line XY in the ratio n:m with [tex]X\ at\ (x_1,y_1)\ Y\ at\ (x_2,y_2)[/tex], the coordinates of O is:
[tex]x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1[/tex]
AC is 6 times AB, this means that point B, divides line AC in the ratio 1:5. Given A at (1,5) and C at (-5, -7)
Let us assume B to be at (x, y), hence:
[tex]x=\frac{1}{1+5}(-5-1)+ 1=\frac{1}{6}(-6)+1 =0\\\\y=\frac{1}{1+5}(-7-5)+5=\frac{1}{6} (-12)+5=3[/tex]
Therefore the location of B is (0, 3)
Answer:
(0, 3)
Step-by-step explanation:
put these numbers from least to greatest
0.491, 0.49, 0.09, 19.4, 0.049
Answer:
0.09, 19.4, 0.49, 0.049, 0.491
Step-by-step explanation:
expressions that are equivalent to 3(q+2).
A.5q
B.6q
C.3(2+q)
D.6q+3
Answer:
Option C
Step-by-step explanation:
Lets calculate 3(q + 2) first;
Distribute;
3(q + 2) = 3q + 6
Option C because 3(2 + q) = 6 + 3q
On a coordinate plane, a line goes through (1, negative 1) and (4, 2). A point is at (2, 5). What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2, 5)? y + 5 = x + 2 y − 2 = x − 5 y − 5 = −(x − 2) y + 2 = −(x + 5)
The equation is C. y − 5 = −(x − 2)
The line equation is y − 5 = −(x − 2), and the correct option is C.
What is the equation of a Straight Line?The equation of a straight line is given by
y = mx +c
where m is the slope and c is the y-intercept.
The line goes through the points (1, -1) and (4, 2),
The slope of the line will be
m = (y'-y)/(x'-x)
m = ( 2+1)/(4-1) = 1
The product of the slope of the line and the line perpendicular to it is -1
So, the slope of the line perpendicular to the given line is -1.
The line passes through the point (2,5)
The point-slope form is
(y-y') = m(x-x')
so, the equation will be
y − 5 = −(x − 2)
Therefore, the line equation is y − 5 = −(x − 2), and the correct option is C.
To know more about the Equation of Straight line
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Determine the domain and range for this relationship.
f(x)=72-12x
Domain:
Range:
Answer:
see below
Step-by-step explanation:
f(x)=72-12x
Domain:
Is the possible values that x can take
This is a line and x can take all values
(-∞,∞) or all real numbers
Range:
Is the possible values the output can take
This is a line and y can take all values
(-∞,∞) or all real numbers
Answer: The domain is 6, and range is 72 I believe.
Step-by-step explanation:
I really hope it helps :0
HELP HAVING BAD DAY
Stanley practices his running, swimming and biking every day. During these practices he runs at 9 mph, bikes at 16 mph and swims at 2.5 mph. Yesterday he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
If Stanley swam for t hours yesterday, what was his running time?
Answer:
9
Step-by-step explanation:
9 (t3+0.5)
his running time is 9
Answer:
1.5 Hrs
Step-by-step explanation:
SWIM: Time: T Rate: 2.5mph Distance: 2.5T
RUN: Time: T+0.5 Rate: 9mph Distance: 9T+4.5
BIKE: Time: 2T+1 Rate: 16mph Distance: 32T+16
2.5T+9T+4.5+32T+16 = 64
43.5T+20.5=64
43.5T=43.5
T=1
RUN: T+0.5= 1+0.5=1.5
What is the name of the triangle in which two sides have the same length and the corresponding two angles have the same size?
a. right
b. isosceles
c. scalene
d. obtuse
Please select the best answer from the choices provided
A
B
C
D
Answer:
It is a Isosceles triangle
Step-by-step explanation:
The name of the triangle is an isosceles triangle.
Option B is the correct answer.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
Right:
A right triangle is a triangle that has one angle measuring 90 degrees (a right angle).
It can have different side lengths and angles, but it must have one right angle.
Isosceles:
An isosceles triangle is a triangle that has at least two sides of equal length and the corresponding angles opposite those sides are equal.
The third side can have a different length, and the third angle opposite that side will be different from the other two angles.
Scalene:
A scalene triangle is a triangle that has no sides of equal length and no angles of equal measure.
All three sides and angles are different.
Obtuse:
An obtuse triangle is a triangle that has one angle that measures greater than 90 degrees (an obtuse angle).
The other two angles will be acute angles, measuring less than 90 degrees.
It can have different side lengths, but it must have one obtuse angle.
So,
The name of the triangle in which two sides have the same length and the corresponding two angles have the same size is an isosceles triangle.
Therefore,
The name of the triangle is an isosceles triangle.
Learn more about triangles here:
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2x+b=w,for x i need to know what this answer is
Answer:
Let's take this step by step:
2x+b=w
2x+b-b=w-b (the basics to what we are trying to do is to get x alone so that it equals whatever is on the other side of the equation.)
2x=w-b(now that we got rid of the b on the left side of the equation by canceling it out, we have to subtract by b on the other side of the equation as well)
2x divided by 2=w-b/2 (For our final step x is being mulitplied by 2 so what we can do to get x alone is canel out the multiplication by dividing by 2. What this does is it leaves x alone showing us what x equals)
x=w-b/2
Step-by-step explanation:
the circle shows the radius of 12mm what is the circumference
Answer:
24π or about 75.4 mm
Step-by-step explanation:
The circumference of a circle is denoted by C = 2πr, where r is the radius.
Here, we see that r = 12, so plugging this in:
C = 2πr
C = 2π * 12 = 24π ≈ 75.4 mm
The answer is thus 24π or about 75.4 mm.
~ an aesthetics lover
Answer:
about 75.36
Step-by-step explanation:
The circumference formula is C=pi times the diameter and the diameter is 24 because it is twice the diameter so 24 times pi.
URGENT NEED HELP DUE IN 12 AM
Answer:
ASA
Step-by-step explanation:
you can prove it by using ASA (Angle Side Angle)
ASA is a postulate that states if two angles and one side are congruent to another triangle.
hope this helps :)
brainliest?
Answer:asa
Step-by-step explanation:
because it is lol
Please help!
Each of these is a pair of equivalent ratios, for each pair explain why they are equivalent. 5:1 and 15:3
10.2 and 25.5
198:1,287 and 2:13
Answer:
the best way I can explain this is that you have to simplify and you get the other ratio. think of them as fractions.
The admission fee to an amusement park is $18. It costs an additional c dollars to rent a locker to hold your belongings. The total cost for 2 people to enter the amusement park and each rent a locker is $46. How much does it cost for one person to rent a locker?
Answer:
$5 for one person to rent a locker
Step-by-step explanation:
Assuming the $18 is for one person, then two people it would be $36, since $18 + $18 = $36 and it's stated there's two people. If you subtract $36 from $46 you get $10, and since it's for two people you split it in half (so basically divide by 2) you get $5 for a locker.
Hope this helps!
Who is my Dad?
A. Donkey kong
B. King kong
C. papa smurf
D. Napolean bonepart
Answer:
Donkey Kong
Step-by-step explanation:
WILL MARK BRAINLEST!!
Solve for y put in slope intercept form
(y = mx + b) to find slope
Y + 6 = 1/2 ( x + 20)
Show work please
Janelle would like to give a party bag to every person who is coming to her party. The cost of the party bag is $7 per person. Write an inequality that describes the number of people P that she can invite if Janelle has No more than $95 dollars to spend on the party bags.
Answer: Inequality that describes the number of people P that she can invite if Janelle has No more than $95 dollars to spend on the party bags: 7P ≤ 95
Step-by-step explanation:
Given: The cost of the party bag is $7 per person.
P represents the number of people that she can invite.
Total cost for P people = ( cost per person) x (P)
=$ 7P (i)
If Janelle has No more than $95 dollars to spend on the party bags.
That means , Total cost ≤ $ 95
From (i)
7P ≤ 95 , which is the required inequality.
What are the slope and the y-intercept of the linear function that is represented by the table?
Х
3
4
y
1
30
2
1
2
15
1
4
13
30
NICO
3
5
Answer:
1/4
Step-by-step explanation:
If the measure of angle ACB is 65 degrees, find the measure of angle BCD
Answer:
the answer is 25
Step-by-step explanation:
you take 65 and add 90 to it because there is an angle that is 90 and you should get 115 then you take 115 and subtract it from 180. and you will get 25 and 25 is your answer.
hope this helped!
p.s it would be cool if you gave me brainliest.
Answer: The answer would be 25
Step-by-step explanation:
Hope this helps!
Solve in Multi Step (Show work)
-2x + 5 = -6
Answer:
5.5
Step-by-step explanation:
-2x + 5 = -6
subtract -5 from -6 then divide by -2
i hope i explained it well.
Answer: 5.5 is your answer.
Step-by-step explanation:
1) -2x + 5 -5 = -6 -5 <------Subtract 5 from 5 and 5 from -6.
2) -2/-2 x = -11/-2 <---------------Now divide -2 by -2 and divide -2 by -11.
3) x = 5.5 <-------------And this is your answer.
Hope this helped! Have a great day! :).
10points!
will make brainliest for correct answer
-8 1/3 + (- 1/6)
Answer:
-8 1/2
Step-by-step explanation:
-8 1/3 + (- 1/6)
Get a common denominator
-8 2/6 - 1/6
Combine terms
-8 3/6
Simplify
-8 1/2
Use the graph to determine the domain and range of the relation, and whether the relation is a function.
a. Domain: {x| -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10}
Range: {y| -6, -5, -1, 1, 3, 4, 5, 7, 8, 10}
Yes, the relation is a function.
b. Domain: {x| -10 ≤ x ≤ 10}
Range: {y| -6 ≤ y ≤ 10}
Yes, the relation is a function.
c. Domain: {x| -10 ≤ x ≤ 10}
Range: {y| -6 ≤ y ≤ 10}
No, one y-value is shared by two x-values.
d. Domain: {x| -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10}
Range: {y| -6, -5, -1, 1, 3, 4, 5, 7, 8, 10}
No, one y-value is shared by two x-values.
Answer: A.
Step-by-step explanation:
just answered on edge2020