Collinear points: Three points A, B and C are said to be collinear if they lie on the same straight line.
There points A, B and C will be collinear if AB + BC = AC as is clear from the adjoining figure.
In general, three points A, B and C are collinear if the sum of the lengths of any two line segments among AB, BC and CA is equal to the length of the remaining line segment, that is, either AB + BC = AC or AC +CB = AB or BA + AC = BC.
In other words,
There points A, B and C are collinear if:
(i) AB + BC = AC i.e.,
Or, (ii) AB + AC = BC i.e. ,
Or, AC + BC = AB i.e.,
The rule for the number of fish in a home aquarium is 1 gallon of water for each inch of fish length. Marta's aquarium holds 39 gallons of water and Hank's aquarium hold 51 gallons of water. The aquarium holds two types of fish, fish A and fish B. If Marta bought 3 of fish A and 2 of fish B, and Hank bought 3 of fish A and 4 of fish B, how long is fish A and how long is fish B?
Answer: Fish A: 9 inches ; Fish B: 6 inches
Step-by-step explanation:
This can be turned into a systems of equation, where x equals the length of fish A and y equals the length of fish B:
3x + 2y = 39 → -3x - 2y = -39
3x + 4y = 51 → 3x +4y = 51
Combine: 0 + 2y = 12 → y = 6 inches.
Plug back in: 3x + 2(6) = 39 → 3x = 27 → x = 9 inches.
Select Statistical or Not Statistical to classify each question.
Statistical Not Statistical
How many cups are in 3 gallons?
Statistical – How many cups are in 3 gallons?
Not Statistical – How many cups are in 3 gallons?
How many months are in a year?
Statistical – How many months are in a year?
Not Statistical – How many months are in a year?
How many brothers do you have?
Answer:
Statistical
Statistical
Not Statistical
Step-by-step explanation:
These are answered by data collection and has some form of variability while non-statistical question has no variability.
The questions asked above won't have any form of variability and requires no data collection thereby making all of them not statistical.
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Hi can I help me, I’ll reward Branliest!!! :)))
Answer: Below
Step-by-step explanation:
We find the area of the base. Since this is a rectangular pyramid, the base would be the rectangle on the bottom:
3 * 2 = 6
Next we find the height. If we draw the height, we can see that it makes a right triangle with the base and sides, making the Pythagorean theorem valid.
Sqrt(3.4^2 - 1^2) = 3.3
The equation for volume in a pyramid is (base*height)/3.
(3.3 * 6)/3 = 6.6
Our answers are:
1) 6
2) 3.3
3) 6.6
Nine wolves, eight female and one male, are to be released into the wild three at a time. if the male wolf is to be in the first released group and order does not matter, in how many ways can the first group of three wolves be formed? 28 ways 36 ways 56 ways 84 ways
The number of ways the first group of three wolves (necessary to include the male wolf) is given by: Option A: 28
What is the rule of product in combinatorics?If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] ways.
Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.
Thus, doing A then B is considered same as doing B then A
For the considered case, we have:
There are 3 wolves to be included in first group.There are 8 female wolves, and 1 male wolf.1 male wolf is sure to be in the first group.So 2 spaces are remaining and are to be filled by 2 of 8 wolves.
Assuming that all 8 of them are distinguishable, choosing 2 of them is done in [tex]^8C_2 = 28[/tex] ways.
The first process of choosing male wolf for first place is done in 1 way only.
And the second process of choosing 2 female wolves can be done in 28 ways(ordering doesn't matter),
and since first and second process have no necessary order, using product rule, we get;
Number of ways of forming first group of wolves = [tex]1 \times 28 = 28[/tex] ways.
Thus, the number of ways the first group of three wolves (necessary to include the male wolf) is given by: Option A: 28
Learn more about product rule here:
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Answer:
The above answer is correct! The right answer is option A. 28 :)
Hope this helped! Brainliest would be greatly appreciated :D
Step-by-step explanation:
In the figure below, mR is 66°, and mT is 130°. Note: Figure is not drawn to scale. What is mQ? A. 24° B. 50° C. 64° D. 116°
Answer:
b
Step-by-step explanation:
i just think so correct me if im wrong
If 75% of a number is 15, find 15% of that number.
[tex]0.75x = 15[/tex]
[tex]x = \frac{15}{0.75} = 20[/tex]
[tex]0.15(20) = 3[/tex]
Answer: You can use the definition of percentage and the proportions to solve this question. 75% means 75/100, the you want to know which fraction of 15 equals 75/100, which is to solve this proportion: 75/100 = 15/x. Solving for x, x = 15 * 100 / 75 = 20. You can check that the 75% of 20 is equal to 15: 20 * 75% = 20*75/100 = 15. So, the answer is 20.
Step-by-step explanation:
What points should I circle and in which point do they intersect?
I WILL MARK BRAINLIEST AND GIVE THANKS
Answer:
[tex]\displaystyle [3, -2][/tex]
Explanation:
All you do is substitute three in for [tex]\displaystyle x[/tex]to get the y-coordinate of [tex]\displaystyle -2.[/tex]This means that these equations meet at the ordered pair of [tex]\displaystyle [3, -2].[/tex]
I am joyous to assist you at any time.
What is the answer for this question?
Answer:
64 cm³
Step-by-step explanation:
The volume of a cube is an edge cubed. Since all the sides/edges are the side, you do 4 * 4 * 4 which gets 64
You have 80 grams of tellurium how much will be left after 8 months if it’s half-life is 2 months?
Answer:
5 grams.
Step-by-step explanation:
First, find out how many half-lives have passed. Divide the number of months by the length of a half-life.
8÷2=4
4 half-lives have passed.
Now figure out how much tellurium will be left after 4 half-lives have passed. Multiply the starting amount of tellurium by [tex]\frac{1}{2}[/tex] a total of 4 times.
80 · [tex]\frac{1}{2}[/tex]·[tex]\frac{1}{2}[/tex]·[tex]\frac{1}{2}[/tex]·[tex]\frac{1}{2}[/tex] = 5
That calculation could also be written with exponents
80 · [tex](\frac{1}{2} )^{4}[/tex] = 5
After 4 half-lives, the amount of tellurium left will be 5 grams.
Two rectangles share a common side as shown.
Determine whether each expression can be used to determine the
total area, in square feet, of the two combined rectangles.
ft
Select Yes or No for each expression.
7.52 + 20
o Yes
Ο Νο
*
7.5 ft
x ft
27.5 + 2
Yes
Ο Νο
20 (7.5 + x)
o Yes
Ο Νο
150 + 3
Yes
Ο Νο
202 + 150
O Yes
No
Answer:
yes they are
Step-by-step explanation:
PLEASE HELP ME! THERE IS A PICTURE
Answer:
I think 10
letter C.
Step-by-step explanation:
divide *2
graph "-3n+4<25" on a line plot
Answer:The solution is in the attached file
Step-by-step explanation:
hello, me again polease help me with this, and show work
Answer:
Hope it helps u
Step-by-step explanation:
1.7
1.749
1.75
1.775
1.796
1.84
Answer:
the order would go 1.7, 1.749, 1.75, 1.775, 1.796, then 1.84.
Step-by-step explanation:
becuase if you ignore how long the numbers are, and focus on numerical order like 1, 2, 3, and apply that to this, this becomes the order.
2 times some number plus 5 equals 9
Answer:
x=2
Step-by-step explanation:
2(x)+5 =9
2(2)+5=9
Answer: The number is 2
Creating an Equation:
The underlined portion of the sentence becomes a part of our mathematical equation in the next line.
2 times some number plus 5 equals 9
2 times n plus 5 equals 9
2n plus 5 equals 9
2n + 5 equals 9
2n + 5 = 9
Solving our Equation:
I will take the equation we created, and isolate variable n to solve.
2n + 5 = 9
2n + 5 - 5 = 9 - 5
2n = 4
(2n ) / 2 = (4) / 2
n = 2
Find the area of the trapezoid.
95 cm
133 cm
Answer: A=a+b
2h=95
2·13.5=675
Step-by-step explanation:
Answer:
D 57.5
Step-by-step explanation:
9.5 + 13.5 = 23
23 x 5 = 115
115 divided by 2 is 57.5
A bag of candy contains 300 pieces of which 28% are red. How many pieces are not red? *
Answer:
The answer is: 84
Step-by-step explanation:
Trust me
good luck
Pls help dont need an explanation just an answer
Answer:
[tex]\boxed{\text{Slope = 5}}[/tex]
[tex]\boxed{\text{y-intercept = 1}}[/tex]
Step-by-step explanation:
To find the slope of the line, we must pick any two points on the line. Using those two points, we will calculate the Rise and the Run. Then, we will use the slope formula (Rise/Run) to find the slope. The y-intercept is the intersection of the point on the y-axis.
[tex]\text{My chosen points: (0,1) and (1,6)}[/tex]
[tex]\text{Rise = 5; Run = 1}[/tex]
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
[tex]\text{Slope}= \dfrac{\text{Rise}}{\text{Run}}[/tex]
➡ [tex]\bold{Slope = \frac{5}{1} = \underline{5}} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Rise = 5; Run = 1}][/tex]
[tex]\underline{........................................................................................................................}[/tex]
[tex]\text{Intersection on y-axis:} \ (0,1)[/tex]
➡ [tex]\text{y-intercept} \rightarrow (0,\bold{ 1}) \rightarrow \bold{\underline{{1}}}}[/tex]
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
Jill bought 3 pints of blueberries for $3.02 each. What is the best estimate of how much Jill spent
Answer: 9.06
Step-by-step explanation:
Do; 3.02+3.02+3.02
This adds up to 9.06
The height of the prism is the Blank between the bases.
Answer:
so how do i find the earea
Step-by-step explanation:
helpppp :) 50 points
An equation is shown below:
4(2x – 5) = 4
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
Answer:
x = 3
Step-by-step explanation:
A only 1 solution
B
4(2x - 5) = 4 ( divide both sides by 4 )
2x - 5 = 1 ( add 5 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Answer:
[tex]\boxed{\sf{x=3}}[/tex]Step-by-step explanation:
Isolate it by the term of x from one side of the equation.
Part A. There will be one solution.Part B.4(2x-5)=4First, divide by 4 from both sides.
[tex]\sf{\dfrac{4\left(2x-5\right)}{4}=\dfrac{4}{4}}[/tex]
Then, solve.
4/4=1
Rewrite the problem down.
2x-5=1
Add by 5 from both sides.
[tex]\sf{2x-5+5=1+5}[/tex]
Solve.
1+5=6
2x=6
Divide by 2 from both sides.
2x/2=6/2
Solve.
Divide the numbers from left to right.
6/2=3
x=3
Therefore, the correct answer is x=3.I hope this helps you! Let me know if my answer is wrong or not.
what energy changes or causes
Answer: Nearly all thermal energy on Earth originates from the sun and radiates to the surface of our planet, traveling in the form of electromagnetic waves, such as visible light. Materials on Earth then absorb these waves to be used for energy or reflect them back into space. In an energy transformation, energy changes form.
Step-by-step explanation:
Factor: 35b + 15c -10
Answer:
5(7b+3c-2)
Step-by-step explanation:
Common factor of 5
35b/5= 7b
15c/5= 3c
-10/5= -2
Take the common factor and multiply it by the quotients
5(7b+3c-2)
Question 1-5
Sarah is demonstraing the idea that polynomials are closed under addition. Her work and explanation are shown.
Select an equation and phrases to complete the statement.
Part A:
Add 3x4 + 6x - 7 to
Equation A 2x - (2x)2 + 4x-1
Equation B (2x)2 + 4.4x - 9
Equation C (-8x)-2 - (3x)3 +7
Part B:
This is closed because
of the sum are
and the sum is a polynomial.
This is closed under addition because the sum of the polynomial produces another polynomial.
What is a polynomial?A polynomial is an expression that involves the addition, subtraction and multiplication of variables.
Polynomials will be closed under an operation if the operation produces another polynomial.
(3x⁴ + 5x - 7) + (2x - (2x)² + 4x - 1) + [(-8x)⁻² - (3x)³ + 7]
= 3x⁴ - 27x³ - 4x² + 9x - 1 + (-8x)⁻²
This is closed under addition because the sum of the polynomial produces another polynomial.
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Help is number 2 correct and help for number one
Number 2 is incorrect :
[tex]\frac{-25x^{3}+15x }{5x} = \frac{-25x^{3}}{5x} + \frac{15x}{5x} = -5x^{2} + 3[/tex]
Number 1 :
[tex](-5)^{3} . 13^{-2} . (-5) .13^{9} = -125 . \frac{1}{13^{2}} .(-5).13^{9} = 625 . \frac{13^{9}}{13^{2}} = 625 . 13^{7}[/tex] (i dont think we can bare calculate this cause it;s too big ;-;)
What is the measure of each angle of a regular 19-gon? If necessary, round to the
nearest tenth.
[tex]\begin{array}{llll} \textit{sum of all interior}\\ \textit{angles in a regular polygon} \end{array}\\\\ n\theta = 180(n-2)~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=19 \end{cases}\implies 19\theta =180(19-2) \\\\\\ 19\theta =180(17)\implies 19\theta =3060\implies \theta =\cfrac{3060}{19}\implies \theta \approx 161.1^o[/tex]
The value of each angle for the given regular polygon is 161.05°.
What is a regular polygon?A regular polygon can be defined as a polygon having all of its sides and angles equal to one another. The expression for each angle of a regular polygon is 180(n - 2)/n.
Suppose each angle of the regular polygon be x.
Since the sum of all the interior angles of a regular polygon with n sides is given as 180(n - 2).
As per the given problem the number of sides n = 19.
Then, the following equation can be written as follows,
19x = 180(19 - 2)
=> 19x = 180 × 17
=> x = (180 × 17)/19
= 161.05
Hence, each angle of the given regular polygon with 19 sides is 161.05°.
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I DONT KNOW WHAT IS 89090x908
Answer:
80 893 720
Step-by-step explanation:
hope dis helps!!!!
Can someone please help me out with this question?
Answer:
Step-by-step explanation:
Both data sets have a median of 3 and gave similar means, 3.19 and 2.57, so the answer should be B.
heheheheheheehehehehehehhee
Answer:
4 blocks
Step-by-step explanation:
A large restaurant chain wanted to determine if its employees were taking sick days on some days of the week more than others. They took a random sample of 140 sick days taken and recorded the day of the week for each sick day. Here are the results:
Answer:
0.2
Step-by-step explanation:
Given the data :
Day : Mon Tue Wed Thu Fri Sat Sun
# of sick days 22 11 16 17 21 28 25
The expected count of sick days taken on Saturday is obtained thus :
Expected count = (row total * column total) / overall total
Here, the table is just one way :
Hence, we use :
Observed value / total days
Hence,
Expected count on Saturday = sick days on Saturday / total sick days
Expected count on Saturday = 28 / (22+11+16+17+21+28+25)
Expected count on Saturday = 28 / 140
= 0.2
Pls help me
AND
PLS FOLLOW THE RULES
TROLL FOR POINTS= REPORT
FIRST AND CORRECT ANSWER= BRAINLIEST
( NO LINKS ) at all
Pythagorean Theorem: a^2 + b^2 = c^2
a = 23 m
b = 11 m
c^2 = (23 m)^2 + (11 m)^2 = 650 m^2
c = sqrt(650 m^2) = 25.5 (rounded to nearest tenth)