How many different squares can be formed by using four of the evenly spaced dots shown as vertices of the square?
Plz quickly!!
Answers
Answer:
I Believe Its Eight Squares
There are 450 triangles, we can pick that do not form an equilateral triangles when 15 dots are evenly spaced on the circumference of a circle.
What is equilateral triangle?An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a "regular" triangle.
here, we have,
Let's calculate the total no. of possible triangles, it depends on the combination. To make a triangle, we have to choose 3 dots out of 15.
Here, we will use the combination rule to find out the possible triangles,
Thus, the total number of possible triangles = 15C3 = (15.14.13) / (1.2.3) = 455
Note that an equilateral triangle would be formed by connecting 3 equally spaced dots.
For an equilateral triangle, out of 15 dots, there would be 15 - 3 = 12 dots that will not be connected.
And 12/3 = 4 dots would be between any two connecting dots.
Taking 1st connecting dot, the second connecting dot would be
1 + 4 + 1 = 6th
Similarly, the third connecting dot would be 6 + 4 + 1 = 11th
So, the following connecting dots will form equilateral triangles: (1, 6, 11); (2, 7, 12); (3, 8, 13); (4, 9, 14); (5, 10, 15);
After applying the combination rule we found the total number of the possible triangle and there are 5 equilateral triangles:
So, there are 455 - 5 = 450 triangles that are not equilateral triangles.
Learn more about equilateral triangles:
brainly.com/question/19692242
#SPJ2
Complete question;
fifteen dots are evenly spaced on the circumference of a circle. how many combinations of three dots can we pick from these 15 that do not form an equilateral triangle?
Related Questions
Mr.Ramirez purchased 20 concerts
Answers
Answer:
and then what?
Step-by-step explanation:
The teather has 384 seats. Each row has 16 seats. The area model represents the situation. How many rows of seats are inside the theather?
Answers
Answer:
24 rows of seats
Step-by-step explanation:
384/16 Equation ( 384 in all, and 16 in each)
24 Solve
Can someone please help!!
Answers
Answer:
AB = 3 and AC = 4
Step-by-step explanation:
Given that the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{AB}{WX}[/tex] = [tex]\frac{BC}{WY}[/tex] , substitute values
[tex]\frac{AB}{30}[/tex] = [tex]\frac{3}{30}[/tex] ( cross- multiply )
30AB = 90 ( divide both sides by 30 )
AB = 3
and
[tex]\frac{AC}{XY}[/tex] = [tex]\frac{BC}{WY}[/tex] , substitute values
[tex]\frac{AC}{40}[/tex] = [tex]\frac{3}{30}[/tex] ( cross- multiply )
30AC = 120 ( divide both sides by 30 )
AC = 4
Answer:
AB = 3AC = 4Step-by-step explanation:
Let AB = xLet AC = yGiven
ΔWXY ~ ΔBAC
Therefore, the triangles are similar, so corresponding sides would be in the same ratio, so
WY/ BC = XW/AB
substitute WY = 30, BC = 3, XW = 30, AB = x
30 / 3 = 30 / x
x = [30 × 3] / [30]
x = 90 / 30
x = 3
Thus,
AB = 3
now
WY/ BC = XY/AC
substitute WY = 30, BC = 3, XY = 40, AC = y
30 / 3 = 40 / y
y = [40 × 3] / [30]
y = 120 / 30
y = 4
Thus,
AC = 4
Therefore,
AB = 3AC = 4Plz help!!! (Picture included)
Answers
Answer:
12.8
Step-by-step explanation:
First cube the 3 to get 27.
Then, multiply 2 by 12/5 to get 24/5.
Remove the parentheses and then add 27 with 6 to get 33.
Then divide -24 by 5 to get -4.8.
Add -4.8 with 33 to get 28.2.
Then subtract 15.4 from 28.2 to get 12.8
100 POINTS PRE-CALCULUS
An airplane is flying in the direction of 30 degrees South of West at 600 mph. A wind is blowing in the direction of 60 degrees North of East at 40 mph.
are the component forms for the air and wind vectors.
The ground speed, G, of the plane is given by
.
Answers
Answer:
not sure for the 1st one but pretty sure 2nd one is B
Step-by-step explanation:
The ground speed (G) is given as
[tex]G = \sqrt{(600\dfrac{\sqrt3}{2} + 20)^2 + (300 + 40 \dfrac{\sqrt3}{2})^2}[/tex].
The correct potion is B.
What is a vector?The quantity which has magnitude, direction and follows the law of vector addition is called a vector.
An airplane is flying in the direction of 30 degrees South of West at 600 mph. A wind is blowing in the direction of 60 degrees North of East at 40 mph.
It means the airplane is flying in the opposite direction of the wind.
The component of an airplane will be
[tex]\rm x = - 600\ sin 30\\\\x = - \dfrac{600}{2}= -300\\\\y = -600 \ cos30\\ \\y= -\dfrac{600 \sqrt{3}}{2}[/tex]
The component of wind will be
[tex]\rm x = 40 cos 60\\\\x = \dfrac{40}{2} = 20 \\\\y = 40sin 45\\ \\y= \dfrac{40\sqrt3}{2}[/tex]
Then the ground speed will be
[tex]G = \sqrt{(600\dfrac{\sqrt3}{2} + 20)^2 + (300 + 40 \dfrac{\sqrt3}{2})^2}[/tex]
Then the correct potion is B.
More about the vector link is given below.
https://brainly.com/question/13188123
A craft show has an admission fee of $1.50 for children and $4.00 for adults. On Saturday 155 people came to the carnival and $520 was collected. How many children came to the craft show?
Much Appreciated <3
Answers
1.50x +4(-x+155)= 520
1.50x-4x+620=520
-2.5x =-100
X= 40. Y=110
PLease this is so easy I promise
Answers
Answer:
1/1
2/1
Step-by-step explanation:
(x4)2
Find the product
Answers
Answer:
8
x
Step-by-step explanation:
pretend the 8 is a exponent
Answer:
[tex]x^{8}[/tex]
Step-by-step explanation:
whenever exponents are separated by parentheses, multiply them
example: [tex](4x^{3})^2[/tex] = [tex]4^{2}[/tex]·[tex]x^{6}[/tex] = 16[tex]x^{6}[/tex]
Mr. Lester's maximum heart rate is 180 beats per minute. When he exercises at the gym.
Mr. Lester's target rate is 60% of his maximum heart rate
Answers
Answer: 108
Step-by-step explanation: 60% of 180 is 108
Answer:
Write 60% as a rate per 100. -- 60% = 60/100
Write 60/100 as a decimal. -- 60/100 = 0.6
What is Mr. Lester's target heart rate? -- 0.6 (180) = 108 beats per minute
The population of a town decreases exponentially at a rate of 1.7% per year.
The population now is 250 000. Calculate the population at the end of 5 years
Give your answer correct to the nearest hundred.
Answers
Answer: 229,500 people to the nearest hundred
Step-by-step explanation:
Population decreases exponentially at 1.7% per year in a town that is currently 250,000 in number.
Population in 5 years = 250,000 * ( 1 - 1.7%) ⁵
= 250,000 * 0.917841286185143
= 229,460
= 229,500 people to the nearest hundred
Fill in the table using this function rule y=-6x-2 -1,0,1,5
Answers
Answer:
-1 = 4
0 = -2
1 = -8
5 = -32
Step-by-step explanation:
trust
Solve the system of equations below
Answers
Answer:
The answer is B. (-7,-2)
Step-by-step explanation:
Multiply the first equation by 7,and multiply the second equation by -6.
7(−3x+6y=9)
−6(5x+7y=−49)
Becomes:
−21x+42y=63
−30x−42y=294
Add these equations to eliminate y:
−51x=357
Then solve−51x=357for x:
−51x=357 Divide both sides by -51
x=-7
Write down an original equation:
−3x+6y=9
Substitute−7forxin−3x+6y=9:
(−3)(−7)+6y=9
6y+21=9(Simplify both sides of the equation)
6y+21+−21=9+−21(Add -21 to both sides)
6y=−12
y=-2
Answer:
-7-2
Step-by-step explanation:
What is the equation in point−slope form of the line passing through (−2, −5) and (2, 3)?
Answers
Answer:
Equation of line passing through ( 2,2) in point slope form is y-2=3 (x-2)
Step-by-step explanation: hop this helps you
Answer:
y=2x-1 is the answer in y=mx+b form.
pls help!! I need this answer asap! and I need to find the area in this so it would be great if one of you guys could help thank you!!!
Answers
Answer:
63 m²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 14 and h = 9 , then
A = [tex]\frac{1}{2}[/tex] × 14 × 9 = 7 × 9 = 63 m²
In psychological theory, there are 66 types of basic instincts in a human being, and personality is determined by the presence or absence (2(2 choices) of these 66 basic instincts. How many different types of personalities can be identified
Answers
Answer:
2145
Step-by-step explanation:
Given that:
Number of basic instincts present = 66
Number of choices = 2
Using combination :
nCr = n! / (n - r)! r!
66C2 = 66! / (66 - 2)!2!
66C2 = 66! / 64!2!
66C2 = (66 * 65) / 2
66C2 = 2145 different personalities
Which system of equations is graphed below?
Answers
Answer:
Step-by-step explanation:
the red line looks like it's y = -3/4x +1
the blue line looks like it's y = x - 6
Maybe in the picture all the choices are not seen?
(2⁵ + 14 ÷ 2) • 2 pls help ;-;
Answers
Answer:
78
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define Expression
(2⁵ + 14 ÷ 2) · 2
Step 2: Evaluate
[Parenthesis] Exponents: (32 + 14 ÷ 2) · 2[Parenthesis] Divide: (32 + 7) · 2[Parenthesis] Add: 39 · 2Multiply: 78During a sale, a dress is sold at discount of 15%. The original price of the dress is $ 60. What is the price of the dress after discount?
Answers
60*0.15=9
60-9=$52 after discount
I NEED HELP ASAP PLEASE !!!! If point B 1,2 is reflected across the x axis what will be its new position
A. 1,-2
B 2,-2
C 1,2
D -1 , 2
Answers
Answer:
the answer is D
Step-by-step explanation:
I hope this helpsbuuu
Jonathan is shopping for a frame for a square painting. Each side measures 9.5 inches. What is the perimeter of the painting?
Answers
PLEASE HELP!!!!!! 30 POINTS
What is the equation in point−slope form of the line passing through (−2, −5) and (2, 3)?
Answers
Answer:
y+5=2⋅(x+2)
Step-by-step explanation:
Let g be the function given by g(x) = x^4-3^3-x. What are all values of x such that g'(x)=1/2
Answers
Answer:
The answer is "[tex]x= \frac{\sqrt[3]{3} }{2}[/tex]"
Step-by-step explanation:
Given:
[tex]\to g(x) = x^4-3^3-x \\\\\to g'(x) = \frac{1}{2}\\\\x=?[/tex]
Solve:
[tex]\to g(x) = x^4-3^3-x\\\\\to g(x) =x^4 -27-x \\\\\to g(x) =x^4 -x-27[/tex]
differentiate the above equation:
[tex]\to g'(x) = 4x^3- 1[/tex]
Given that:
[tex]\to g'(x)= \frac{1}{2}[/tex]
[tex]\to \frac{1}{2}= 4x^3 -1\\\\\to \frac{1}{2} +1= 4x^3 \\\\\to \frac{1+2}{2}= 4x^3 \\\\\to \frac{3}{2}= 4x^3 \\\\\to x^3 =\frac{3}{2 \times 4} \\\\\to x^3 =\frac{3}{8} \\\\ \to \bold{x= \frac{\sqrt[3]{3} }{2}}[/tex]
Mr. Kaffey used a full 3-liter bottle of soda to fill two containers. He put 0.276 liter of soda in the first container. He put 0.92
liter of soda in the second container. How many liters of soda remained in the bottle?
Answers
Answer:
1.804 L
Step-by-step explanation:
If DF=61 and EF=18 find DE.
Answers
Answer:
43
Step-by-step explanation:
x + 18 = 61 (we're given the total length and one part, so it can be rewritten like this!)
x = 43
hope this helps!
pls help....thanks..
Answers
Answer:
Hey there!
The answer is 120 because 10x12 + 120.
Hope this helps
help me if you can plss BRAINLYEST
Answers
Answer:
The answer is 81
Step-by-step explanation:
prove me wrong
Answer:
Choice D
Step-by-step explanation:
For this you have to distribute the exponent on the outside to the inside. So we will multiply 4 and [tex]\frac{1}{4}[/tex]. That will equal 1. So now we have [tex](81^1)[/tex] and anything to the power of 1 is itself. So the answer is 81.
Select ALL figures that are similar to parallelogram P
Answers
Answer:
A & C
Step-by-step explanation:
A is similar to P
C is also similar because it has same size of diameters
Graph the functions on the same coordinate axis.
S f(x) = x + 1
1 g(x) = x² - 6x - 7
What are the solutions to the system of equations?
Select each correct answer.
(1, 2)
(6, 7)
(-1,0)
(-8, – 7)
(8,9)
Answers
Answer:
(-1,0) and (8,9)
Step-by-step explanation:
The solution will be obtained when f(x) = g(x)
Mathematically;
x + 1 = x^2-6x-7
x^2-6x-x-7-1 = 0
x^2-7x-8 = 0
x^2-8x + x -8 = 0
x(x-8) + 1(x-8) = 0
(x+1)(x-8) = 0
x = -1
x = 8
so let us get the f(x) and g(x) values
For x + 1
-1 + 1 = 0
8 + 1 = 9
Points are;
(-1,0) and (8,9)
What is eight and two ninths subtracted by 2 and seven ninths
Answers
Answer:
5 4/9
Step-by-step explanation:
8 2/9 - 2 7/9
Converting the numbers from mixed Fraction :
(74/9 - 25/9)
L.C.M = 9
(74 - 25) / 9
= 49 / 9
= 5 4/9
Tim knows that he can travel a distance of 240 miles when his car’s gas tank is filled to its capacity. The capacity of his car’s gas tank is 12 gallons. Which best describes the domain of the function? only integers where 0 ≤ d ≤ 12 only integers where 0 ≤ , d , ≤ 12 only integers where 0 ≤ d ≤ 240 only integers where 0 ≤ , d , ≤ 240 all real numbers where 0 ≤ d ≤ 12 all real numbers where 0 ≤ , d , ≤ 12 all real numbers where 0 ≤ d ≤ 240
Answers
Answer:
Step-by-step explanation:
0 ≤ d ≤ 12 all real