Three billiard balls are left on the table. Use the expressions to determine which two balls are furthest apart.
Answers
Answer: Balls 4 and 9 are furthest apart
Step-by-step explanation:
The 9 and 4 ball are farthest from each other.
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that, three billiard balls are left on the table, we need to determine which two balls are furthest apart.
So, the balls are in the shape of a triangle, we know that, the greatest angle is opposite of the largest side,
So, we will find the angles first,
Since the angles of a triangle add up to 180 degrees,
(x-5)+(2x+1)+(3x-8)=180,
6x-12=180.
x = 32.
That means the 9 ball is at 27 degrees, the 4 ball is at 65 degrees, and the 5 ball is at 88 degrees.
Based on the angles, the farthest distance would be between balls 9 and 4.
Hence, the 9 and 4 ball are farthest from each other.
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Related Questions
100 POINTS
Find the slope of the line passing through the points , −7−7 and , −36
i will make branlyst.
Answers
Answer:
The equation y = -0.24137931034483x – 8.6896551724138, assuming you meant (-36,0).
Step-by-step explanation:
6th Grade Math Homework!
Will give brainiest!
15 Points!!
Please solve
ONLY ANSWER IF YOU HAVE THE ANSWERS
Don't need to explain
Keep in mind there are 2 pictures!
PLEASE HELP!! AND FAST!!
Answers
SHOW WORK PLZZZZZZZZZZZZZ!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
(x+1)(x+5)(5x−1)
x= 1/5, -5, -1
Step-by-step explanation:
5x^3+29x^2+19x-5
factor
(x+1)(x+5)(5x−1)
the zeros are
x+1=0
x=-1
x+5=0
x=-5
5x-1=0
5x=1
x=1/5
maybe this helps
If eight trash bags last for thirty days then 28 trash bags will last for how long
Answers
Answer:
105 Days
Step-by-step explanation:
Hope I helped
Answer:
105 days
Step-by-step explanation:
I don’t know if your teacher wants you to solve it like this but I used a proportion
8/30= 28/x
ughvjkbkmnlk,bh imn hbkvkjm, h jknmbjb
Answers
Answer:
im workin gon it can you please mark me as brainliest
Step-by-step explanation:
how many times does 80 go into 4320
Answers
54. You can just divide
Answer:
54Step-by-step explanation:
There are 54 time 80 in 4320.
( 4320 : 80 = 54 )
Triangle PQR has angles in the ratio of 2:3:5.
Which type of triangle is APOR?
1) acute
2) isosceles
3) obtuse
4) right
What is the answer???
Answers
Answer:(4) right angle
Step-by-step explanation:
you need to get 180 right solve it from there
The angle is 90degrees, hence the triangle PQR is right triangle
The sum of an interior angle of a triangle is 180 degrees. If the triangle PQR has angles in the ratio of 2:3:5.
Sum of the ratio = 2 + 3 + 5
Sum of the ratios = 10
For the ratio of m<P:
<P = 2/10 * 180
<P = 36 degrees
For the angle m<Q
m<Q = 3/10 * 180
m<Q = 54 degrees
For the angle R;
m<R = 5/10 * 180
m<R = 90 degrees
Since one of the angles is 90degrees, hence the triangle PQR is right triangle
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8.1)? || What is the area of the reindeer barn in feet? 45 yards 25 yards er
Answers
Answer:
I think the answer is 20
Anna can buy 3 sweatshirts for a total of $45.00. How much would it cost if she were to buy 5 sweatshirts at the same price. a.$15 b.$45 c.$60 d.$75 ?
Answers
1.
A and B are two overlapping subsets of a universal set U. Draw Venn-diagrams
and shade the regions that contain the element of the following set operations.
a) A UB
b) AB
c) A-B
d) B-A
e) A
f) B
Answers
Answer:
Probably c
Step-by-step explanation:
Tbh
i need the slope intercept for this equation
Answers
Answer:
y= 1/2x+2
Step-by-step explanation:
I hope it's right!
Answer:
the slope intercept form is y=1/2x+2
What are the differences between the graphs of y = 2x and y = 2
Answers
Answer:
Y=2x has a slope of 2, y=2 has a slope of 0
Step-by-step explanation:
PLZZZZZ ANSWER ASAPPPPP 1. Calculate the unit rate: 324.8 meters in 28 seconds
Answers
324.8/28= 11.6
The graph for the equation Y= 2X+4 is shown below.
If another equation is graphed so that the system has one solution, which equation could that be?
Oy= 2x-4
Oy=2(x+ 2)
Oy=2(x-4)
Oy=x+4
Answers
To have only one solution the two lines must have different slopes, then the correct option is:
y = x + 4.
Which equation could it be?
We want our system to have exactly one solution, so the two lines must have different slopes.
The already graphed line s:
y = 2x + 4
Notice that the slope is 2, then we need to select the option with an slope different than 2, which is the last option:
y = x + 4
If we graph that line, the system will have only one solution.
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Jaden is flying a kite with an angle of elevation of 33 degrees. If Jaden lets out 275 feet of string, how high above the ground is the kite flying? Round answers to the nearest tenth place.
Answers
Answer:
149.8 feet
Step-by-step explanation:
θ = Angle of elevation = 33°
The length of string Jaden lets out = Hypotenuse = 275 feet.
How high above the ground that the kite is flying = Opposite Side.
We are solving this question using the Trigonometric function of Sine
Sin θ = Opposite Side/Hypotenuse
Sin 33 = Opposite/275 feet
Cross Multiply
Sin 33 × 275 feet = Opposite
Opposite side(Height ) = 149.77573463 feet
Approximately to the nearest tenth = 149.8 feet
Which statement describes the term salary?
A.
Salary refers to the fixed amount paid on a daily basis.
B.
Salary refers to the varying amount paid on a daily basis.
C.
Salary refers to the fixed amount paid on a weekly, bi-weekly, or monthly basis.
Answers
I need the answers bad
Answers
Answer:
53
Step-by-step explanation:
90 - 37 = 53
someone please help me. show your work for brainliest.
find the center and radius of the circle represented by the equation x^2 + y^2 - 4y - 8 = 0
Answers
Answer:
Attached file
Step-by-step explanation:
Given mn, find the value of x.
108
Answers
Answer:
72 degrees
Step-by-step explanation:
Referencing off of line t being a straight line, a straight line is 180 degrees. If you subtract 108 from 180, you would get 72. Since this intersecting line is going through 2 paralel lines, the 2 groupings of angles reflect each other.
help!!! im soo confused
Answers
Answer:
a=169 ft
Step-by-step explanation:
Here you are given the angle 25, and the opposite and hypotenuse values.
Opposite/Hypotenuse: the sin(angle 25)=a/400ft.
We need to solve for a, so lets multiply 400 to the other side:
400(sin25)=a. Plug this into your calculator and you will get the answer: a=169.04 ft
Explanation
I just awnsered that question
A student solves a quadratic and gets solutions of x=-7 and x=8. Could the discriminant of this equation equal -188?
Answers
Answer:
7
Step-by-step explanation:
This one is the last question
Answers
Answer:
second choice y = -2(x+4) + 15
Samuel earns $5 per hour plus 65% commission on all his sales. If y represents
his sales for one day, which expression represents Samuel’s total earnings for a
day when he worked 6 hours?
A. 5(6) + 65y
B. 5(65) + 6y
C. 5(6) + 0.65y
D. 5(6) + 1.65y
Answers
Answer:
B
Step-by-step explanation:
Answer:
5(6)+0.65y
Step-by-step explanation:
$5(6hrs)+65÷100=0.65
5(6)+0.65y
PLEASE HELP im to stupid
Answers
Answer:
line BC, 4 units right, and down 1 unit!
Hope This Helps!
Answer:
1. BC
2. 4
3. 1
Step-by-step explanation:
Adele took a total of 12 quizzes over the course of 2 weeks. After attending 5 weeks of school this quarter, how many quizzes will Adele have taken in total? Assume the relationship is directly proportional.
?quizzes
Answers
Answer:
30 quizzes
Step-by-step explanation:
12 quizzes in 2 weeks means that there were 6 per week and 6 (quizzes per week) times 5 (number of weeks) would be 30.
Hope this helped!!
Answer:
30, or 42
Step-by-step explanation:
If they took 12 quizzes over the course of 2 weeks, then we can assume that they take 6 quizzes each week (12/2 = 6).
Over the course of 5 weeks, they'll have taken 30 quizzes if the above is true. However, the 'or' is there because I don't know if they're including the past 12 or not. If they are including the 12 quizzes taken over 2 weeks, then the answer is 42. If they are only referring to the 5 weeks of school, then the answer is 30.
Which number makes this sentence true? 32:40=48:x
Answers
Answer:
x=60
Step-by-step explanation:
divid the numbers
multiply all terms by the same value to eliminate fraction denominator
simplify
The regression equation for change in temperature, y, to amount of rain, r, is given by ŷ = 0.2 − 1.4r. On Monday, the observed amount of rain was 0.4 inches and the temperature change was 2.3 degrees. Find and interpret the residual.
2.66. The regression line overpredicts the temperature change.
2.66. The regression line underpredicts the temperature change.
1.94. The regression line underpredicts the temperature change.
−1.94. The regression line overpredicts the temperature change.
−3.02. The regression line underpredicts the temperature change.
Answers
Given:
The regression equation for change in temperature, y, to amount of rain, r, is given by
[tex]\hat{y}=0.2-1.4r[/tex]
The observed amount of rain was 0.4 inches and the temperature change was 2.3 degrees.
To find:
The residual and interpret it.
Solution:
According to the question, the observed amount of rain was 0.4 inches and the temperature change was 2.3 degrees.
So, the actual value is 2.3 degrees.
Put r=0.4 in the given equation, to find the predicted value.
[tex]\hat{y}=0.2-1.4(0.4)[/tex]
[tex]\hat{y}=0.2-0.56[/tex]
[tex]\hat{y}=-0.36[/tex]
We know that,
Residual = Actual value - Predicted value
[tex]Residual=2.3-(-0.36)[/tex]
[tex]Residual=2.3+0.36[/tex]
[tex]Residual=2.66[/tex]
Residual is positive because predicated value is less than the actual value.
So, the regression line underpredicts the temperature change.
Therefore, the correct option is B.
what is (-4) + 3 + (-5)
Answers
Answer:
-6
Step-by-step explanation:
-4 + 3 = -1
Add -1 to -5
-6
Hope this helps :)
Answer:
-6
Step-by-step explanation:
its addition so u can move them around due to (addition property)
so i took (-4) plus (-5) and got (-9)
then took (-9)+3 and got (-6)
A local restaurant served 124 cups of pancake mix every hour it takes 1 1/4 cups of mix to make one pancake the pancakes are all equal in size about how many pancakes can the restaurant make in two hours
Answers
Answer: The restaurant can make 199 pancakes in two hours.
Step-by-step explanation:
Given: Total number of cups of pancake mix used in 1 hour = 124
Mix required for each pancake = [tex]1\dfrac14=\dfrac{5}{4}[/tex]
Number of cups of pancake mix used in 2 hours = 2 x 124 = 248
Number of pancakes made = (Number of cups of pancake mix used in 2 hours ) ÷ (Mix required for each pancake )
[tex]=248\div\dfrac54\\\\=248\times\dfrac45\\\\= 198.4\approx199[/tex]
Hence, the restaurant can make 199 pancakes in two hours.
if tickets to a movie are 6.50 each of Scarlet and her friends bought $17.00 in snacks and their total war $43.00 how many tickets did they buy?
Answers
Answer:
3143
Step-by-step explanation:
43.00
-17.00
——
26
26/6.5 = 4