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 dart does land on the dart board
Step-by-step explanation:
The given parameters are;
The height from the floor to the bulls eye = 5 feet 8 inches
The size of the standard board = 18 inches diameter
The distance of the bulls eye from the wall to the left = 11 feet
The distance the dart Samuel throws land from the left wall = 11.5 feet
The distance above the ground, the dart Samuel throws land = 5.5 feet
Whereby Samuel throws the dart directly at the dartboard, we have;
The location of the bulls eye = (11, 5.67)
The equation of the circle representing the dart board = (x - 11)² + (y - 5.67)² = 0.75² = 0.5625
The unit of the radius is in feet
The position of Samuel's dart is represented by the coordinate, (11.5, 5.5)
Plugging in the coordinates of the position of Samuel's dart into the equation of the circle of the dart board gives;
(11.5 - 11)² + (5.5 - 5.67)² = 0.2789 ≈ 0.528²
Therefore, given that the square of the distance of the position of Samuel's dart is less than the square of the radius of the dart board, we have;
Yes, Samuel dart does land on the dart board.
From the parameters given to find out if Samuel's dart landed on the dartboard, we can say that;
Samuel's dart does not land on the dartboard.
We are given;
Height from the floor to the bulls eye = 5 ft 8 in = 5.67 ft
Diameter of the standard dartboard = 18 in = 1.5 ft
Thus, radius; r = 1.5/2 = 0.75 ft
Distance of the bulls eye from the wall to the left = 11 ft
Distance of dart thrown by Samuel from the left wall = 11.5 ft
Height of dart thrown by Samuel above the ground = 5.5 ft
We know that general equation of a circle is;
(x - a)² + (y - b)² = r²
Since Height from the floor to the bulls eye is 5.67ft,then a = 5.67 ft
And also since Distance of the bulls eye from the wall to the left = 11 ft, then b = 11 ft
Thus;
(x - 11)² + (y - 5.67)² = 0.75²
(x - 11)² + (y - 5.67)² = 0.5625
Now, since he 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. Thus;
r² = (11.5 - 11)² + (5.5 - 5.67)²
r² = 0.2789
r² of 0.2789 gotten here is lesser than 0.5625 gotten earlier, we can conclude that Samuel's dart does not land on the dart board.
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Pls help ASAP for BRAINLIEST
Answer:
-5
Step-by-step explanation:
h(-2)=3(-2)+1
= -6+1
= -5
hope this help you!! :))))))
If John drove 210 miles in 3 hours, how far will he have
driven in 4.5 hours?
Answer:
3hours and 15 mins
Step-by-step explanation:
210 divied by 3=70
70=per hour
4 hours=280
70 divied by 2= 35
.5=35
280+35=315
315 miles in 4.5 hours
Choose the definition, theorem, or postulate that justifies the statement.
A. Definition of a Right Angle
B. Definition of Complementary Angles
C. Congruent Complements Theorem
D. Complement Theorem
E. Definition of Supplementary Angles
F. Definition of Angle Bisector
G. Supplement Theorem
H. Definition of Perpendicular
I. Angle Addition Postulate
J. Vertical Angles Theorem
K. Congruent Supplements Theorem
L. Definition of Congruence
Answer:
E. Definition of Supplementary Angles
Step-by-step explanation:
Select all the true statements. Group of answer choices The ratio of triangles to squares is 2 to 4. The ratio of squares to smiley faces is 6:4. The ratio of smiley faces to triangles is 6 to 4. There are two squares for every triangle. There are two triangles for every smiley face. There are three smiley faces for every triangle.
Answer:
The ratio of triangles to squares is 2 to 4
There are two squares for every triangle.
There are three smiley faces for every triangle.
Step-by-step explanation:
The number of triangles, smiley and squares are shown in the diagram attached.
From the diagram, there are 6 smiley faces, 2 triangles and 4 squares.
A ratio compare two or more values, thereby showing how many times one number contains the other.
A) Correct. The ratio of triangles to squares = number of triangle / number of square = 2 / 4 = 2 to 4
B) Incorrect. The ratio of squares to smiley faces = number of square / number of smiley face = 4 / 6 = 4 to 6
C) Incorrect. The ratio of smiley faces to triangles = number of smiley faces / number of triangles = 6 / 2 = 6 to 2
D) Correct. Since the ratio of squares to triangles = number of squares / number of triangle = 4 / 2 = 2 / 1 = 2 to 1, hence there are two squares for every triangle
E) Incorrect. Since the ratio of triangles to smiley faces = number of triangle / number of smiley faces = 2 / 6 = 1 / 3 = 1 to 3, hence there is one triangle for every 3 smiley faces
F) Correct. Since the ratio of smiley faces to triangles = number of smiley faces / number of triangles = 6 / 2 = 3 / 1 = 3 to 1, hence there is 3 smiley faces for every one triangle
The Huggins family went out to dinner. The price of the meal was $62.95. The sales tax is 8% of the
price of the meal. The tip is 15% of the meal and the sales tax. How much money did the family
pay for the meal, including tax and tip?
Answer:
$62.95 (meal) + $5.03 (sales tax) +$.75 (sales tax tip) + $9.44 (meal tip)
Total: $78.17
Answer:
$78.19
Step-by-step explanation:
To find the total after the sales tax is charged you have to do
$62.95 x 1.08 (1 = to the total and .08 to add sales tax value) =$67.986 round*
Now you take $67.99 (has been rounded) and multiply but .15 to find out what is 15% of $67.99 , it comes out to be 10.1979 (Round)
Now to finish you add $67.99 +$10.20 = $78.19
The area of a rectangular painting is 5734cm^2
If the length of the painting is 94cm , what is its width?
Answer: 61cm
Step-by-step explanation:
So to work out this question you do 5734÷94 which would work out the with which is 61
61×94=5734
Find the value for x that makes the given equation true. - -4(3x – 7) + 5x = -2x + 8
Answer:
Okay this might be slightly confusing but I'll try to make it simple. x = -10
Step-by-step explanation:
-4 ( 3x - 7 ) + 5x = -2x + 8 1. get rid of parenthesis first. -4 times 3x = -12x and -4 times -7 is 28
-12x + 28 + 5x = -2x + 8 2. Combine any like terms on each side of the equation. -7x + 28 = -2x + 8 3. Get rid of the smallest x value by adding to both sides -7x
+7x +7x
28 = -2x + 8 4. subtract 8 from both sides to get rid of it. (you wanna get x alone)
-8 -8
20 = -2x 5. Divide both sides by -2 to get 1x (which is x)
/-2 /-2
x = -10
y=3x-5 identify y intercept within equation
Answer: -5
Step-by-step explanation: alrite so when u graph it, the line crosses -5 on the y axis
Answer: -5
Step-by-step explanation:
When written in slope intercept form, which is y=Mx+b, b is the y intercept so in this case it would be -5
What is the solution?
-6x - 1 =23
Answer:
X=-4
Step-by-step explanation:
the first thing you do is add 1 to both sides to make the variable be alone
-6x=24
now divide 6 on both sides the variable cancels out and your left with 24/-6
so your answer is -4
What is a good problem to use for an inequality equation? using ax + b > c. Including the solution.
Answer:
A "solution'' of an inequality is a number which when substituted for the variable makes the inequality a true statement. When we substitute 8 for x, the inequality becomes 8-2 > 5. Thus, x=8 is a solution of the inequality.Step-by-step explanation:
Answer:
the person above me is correct
Shark boi U~U
If you could travel back in time one year, what advice would you give yourself?
10 sentence required for the brainlleist if 2 people answer
1
Answer:
To keep my head up and focus on the good instead of the bad. To understand that life gets hard. I would remind myself that I'm worth it and I am a strong person. I would tell myself that whatever bad happens, something good will come out of it. To remind myself that all the bad I've been through is only making me a stronger person. And I would remind myself that everything happens for a reason, whether I see it now or I see it later on down the road. I would remind myself that it's never too late to change for the better. I would tell my self "you made it this far, your strong". And I would tell myself that I can do whatever I put my mind to. And that nothing is impossible.
Hope this helps :)
Step-by-step explanation:
If someone could travel back in time one year, the advice I would give myself would be to embrace change and adaptability. The world is constantly evolving, and it is important to stay open-minded and flexible in order to thrive.
I would encourage myself to be proactive in seeking opportunities for growth and learning, even if they seem daunting or unfamiliar at first. Additionally, I would remind myself to prioritize self-care and mental well-being. It is easy to get caught up in the hustle and bustle of daily life, but taking time for oneself is crucial.
Whether it be spending time in nature, practicing mindfulness, or pursuing hobbies and interests, nurturing my own happiness should be a priority. Lastly, I would advise myself not to dwell on past mistakes or missed opportunities.
Every setback is an opportunity for growth, and it is important to learn from these experiences rather than letting them define me. By adopting a positive mindset and focusing on the present moment, I can ensure that I make the most of every opportunity that comes my way.
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a= 18 in.
C = 82 in.
What is the length of b?
Answer:
B should equal 80
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
Use Pythagorean theorem so 18^2 +b^2 =82^2 which is 324 +b^2=6724 then subtract 324 on both sides then square root which is 80
Jane baked the kinds of fruit bars shown in the table below.
Kind of Fruit Bar Number
Apple
51
Peach
36
Plum
84
Part A
Jane wants to make baskets of the fruit bars, and she wants to divide each kind of fruit bar equally among the baskets. What is the maximum number of baskets can she make?
Answer:
I THINK the answer is 57
Step-by-step explanation:
Add 51 + 36 + 84
Divide 171 by 57
57 is the most that can go into 171 evenly.
Which one?
A. B. C. Or D?
Answer:
Answer is C
Step-by-step explanation:
have a nice day!!
~ jassy
Answer:
The answer would be c
Step-by-step explanation:
Determine which product has the lower unit price a 16- ounce bag of chocolate for $1.99 or B an 18- ounce bag of chocolates for $2.29
Step-by-step explanation:
Just divide 16 and 1.99 and 18 and 2.29 and choose the one with less value
PLS ANSWE PLS NEED HELP ASAP
Answer:
D. 75
Step-by-step explanation:
Bc they are congruent that means that DAY has angles 60 and 45 so you add them together to get 105 and bc triangles are 180 deg, the last angle is 75 (180-105 = 75)
help!!!! due now ( right answer's only)
Answer:
Minimum, Vertex(1,-7) and sorry what do you mean by aos? i dont get that please type in the comments I'll answer that too. Hope you understand the rest
Step-by-step explanation:
The vertex of a parabola means the stationary point/turning point which is denoted by the following:
[tex]x=\frac{-b}{2a} \\[/tex]
and for y we just simply put the value of x that we get into the equation so lets get started
The equation [tex]y=x^2-2x-6[/tex] is a quadratic equation
and if we compare it by the standard form [tex]y=ax^2+bx+c[/tex] we get the following values
a=1 , b=-2 , c=-6
and now for the vertex
[tex]x=\frac{-b}{2a}[/tex]
[tex]x=\frac{-(-2)}{2(1)} \\x=\frac{2}{2} \\x=1[/tex]
and now for y
[tex]y=x^2-2x-6\\y=(1)^2-2(1)-6\\y=1-2-6\\y=-7[/tex]
so the vertex is (1,-7)
and the graph is minimum not maximum because the value of a is greater than 0 if the value of a>0 then the graph is minimum and if the value of a<0 meaning a is negative the graph is maximum and here in the equation a=1 which means a>0 then our graph is minimum.
Answer:
hey we were talking in the comment section with someone else 16 min ago and that chat maxed out so he made another one and wants you to come back. Just letting you know.
Step-by-step explanation:
Please answer this question
Answer:
she is running at a constant speed
Step-by-step explanation:
the bar is still because she isnt going faster or slowing down she is constant
Answer:
D: She is at a constant speed.
Step-by-step explanation:
she is not acceleraring or decelerating, so her speed is constant
Anyone know got a chart by the way on the bottom
Answer:
41 and then 24 i belive
Step-by-step explanation:
what is (3,0) reflected on the y-axis
Reflecting across the y axis, the x value becomes opposite and the y value remains the same.
(3,0) becomes (-3,0)
Answer:
(-3, 0)
Step-by-step explanation:
There is the same amount of units from either side of the y-axis to the points.
-13 = r/9 + 8
r =
r equals what
-5=r/9
-45=r
Step-by-step explanation:
you're just trying to get the r alone. so you have to subtract the 8 and multiply the nine. you're just reversing the problem.
Find two consecutive integers whose sum is eleven less than three times the smaller integer.
Answer:
If you call the smaller integer "x" and the greater integer "y", then:
x+y=3x-11 The sum of the two is 11 less than 3 times the smaller
y=x+1 Because they are consecutive, the greater must be 1 more than the smaller
Then you can solve for x:
x+(x+1)=3x-11 Substitute x+1 for y
2x+1=3x-11 Combine like terms
2x+12=3x Add 11 to both sides
12=x Subtract 2x from both sides
The smaller integer is 12, thus the greater integer is 1 more or 13.
Check:
12+13=3(12)-11
25=36-11
25=25 Yes, so the integers are 12 and 13
Step-by-step explanation:
thats pretty much it
Jason and Henry go to the movie theater and purchase refreshments for their friends. Jason spends a total of $66.75 on 12 drinks and 1 bag of popcorn. Henry spends a total of $82.50 on 3 drinks and 10 bags of popcorn. Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations, determine and state the price of popcorn, to the nearest cent.
Answer:
The cost of one drink is $5
Step-by-step explanation:
3x-120x=82.50-667.5
120x-3x=667.50-82.50
117x=585
x=5
In which quadrant does the terminal side of your angle lie if sec theta < o and cot theta < o ?
Answer:
The endpoint of an angle
x
lies in the 4th quadrant. Here is why.
First of all, let's recall a few definitions.
Recall the definition of a trigonometric function
sec
(
x
)
:
sec
(
x
)
=
(by definition)
=
1
cos
(
x
)
Recall the definition of a trigonometric function
cot
(
x
)
:
cot
(
x
)
=
(by definition)
=
cos
(
x
)
sin
(
x
)
Step-by-step explanation:
jhyjyujtyuyju
- Find the sum of (2+4i) and (3-6i)
(2+4i )+(3-6i)
= 2 + 4i+3 -6i
= 5 - 2iAnswer:
5-2i
Step-by-step explanation:
(2+4i)+(3-6i)
2+4i+3-6i
5-2i
Please correct me if I am wrong
What is the range of the function
graphed below?
(3,3)
A really fast armadillo can cross a road that is 20.00 meters wide in 10.00 seconds. What is the speed of the armadillo?
A. 2.0 m/s
B. 10 seconds
c. 10 meters
D. 200 m/s
Answer:
A
Step-by-step explanation:
Speed= Distance/time
20m/10s=2 m/s
I don't understand this at all. Can you help me solve this please :)
Answer:
y = -1/2x +3
Step-by-step explanation:
basically all you have to do is change the y intercept, but keep the slope the same and you create a parallel line
PLEASE HELP ANYONE:))
Answer:
3 million dollars
Step-by-step explanation:
i just did this and got it right