Answer:
A
writing your thoughts in journal
there are 4, 6, and 7 points on three lines. How many triangles is it possible to create with given points as vertices?
4 triangles can be created with 3 points on a line.
20 triangles can be created with 6 points on a line.
30 triangles can be created with 7 points on a line.
Combination has to do with selection.
Note that a triangle has 3 vertices. If there are 4 points on a line, the number of triangles it is possible to create is derived using the combination formula shown as:
[tex]nC_r=\frac{n!}{(n-r)!r!}[/tex]
[tex]4C_3 = \frac{4!}{(4-3)!3!}\\4C_3 =\frac{4\times3!}{3!}\\4C_3=4triangles[/tex]
This means that 4 triangles can be created with 3 points on a line.
For a line with 6 points:
[tex]6C_3 = \frac{6\times 5\times 4\times 3!}{(6-3)!3!}\\6C_3 =\frac{6\times5\times 4\times3!}{3!3!}\\4C_3=20triangles[/tex]
This shows that 20 triangles can be created with 6 points on a line.
For a line with 7 points:
[tex]7C_3 = \frac{7\times 6\times 5\times 4!}{(7-3)!3!}\\4C_3 =\frac{7\times6\times 5\times4!}{4!3!}\\4C_3=30triangles[/tex]
This shows that 30 triangles can be created with 7 points on a line.
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How many digits are in the smallest sequence of repeating digits in the decimal equivalent of 5/9
Find the remainder when f(x) = 5x3 + 7x + 5 is divided by x + 2
A. -49
B. -7
C. 11
D. 59
the perimeter of a rectangular field is 344m.if the length of the field is 93m.what is it’s width?
Answer:
79m
Step-by-step explanation:
344-(93x2)=158
158/2=79m
Step-by-step explanation:
perimeter = 344
length = 93
perimeter of rectangle = 2( l+ b )
344 = 2 (93 + b)
344÷2 = 93 + b
172 = 93 + b
172 - 93 = b
79 = b
in other words width is 79
hope it helps
If the diagonals of a rhombus are of length 24 & 32 cm, find the altitude of the rhombus.
a) 15.8 cm
b) 14.2 cm
c) 12 cm
d) 19.2 cm
Hello Carousel!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
If the diagonals of a rhombus are of length 24 & 32 cm, find the altitude of the rhombus.
a) 15.8 cm
b) 14.2 cm
c) 12 cm
d) 19.2 cm
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Please refer to the attached picture for the answers with steps included.
NOTE :-
The sides of a rhombus are equal to each other.The point of intersection of the diagonals (marked as O in the figure) forms 90° angles (which is why we used the pythagoras property to solve the question).Since 0 is the point of intersection, it's also the midpoint of the diagonals. (So, BO = ½ × BD & AO = ½ AC -- we used this to solve the question).__________________
Hope it'll help you!
ℓu¢αzz ッ
5/14 x 4/7 in the simplist form
Answer:
10/49
Step-by-step explanation:
make it (5)(4)/(14)(7)
20/98
divide it by the greatest common factor, 2
10/49
Jada had some dimes and quarters that had a total value of $12.50
Answer:
1.She has 115 dimes because 0.10*115=11.5 0.25*4=1.00 11.5+1.00=12.5
2.She has 100 dimes because 0.10*100=10.00 and 0.25*10= 2.5 10+2.5=12.5
3.I think they don’t function because quarters are worth more than a dime.
4.he has 40 quarters because 0.25*40=10.00 0.10*25=2.5 10.00+2.5=12.5.
5.She has 38quarters because 0.25*38=9.5 0.10*30=3 9.5+3=12.5
6.Yes they can function because q=dx-12.5
The Questions:
Question 1 - 1 pts
If Jada has 4 quarters, how many dimes does she have?
Question 2 - 1 pts
If Jada has 10 quarters, how many dimes does she have?
Question 3 - 1 pts
Is the number of dimes a function of the number of quarters? If yes, write a rule (that starts with d =...) that you can use to determine the output, d, from a given input, q. If no, explain why not.
Question 4 - 1 pts
If Jada has 25 dimes, how many quarters does she have?
Question 5 - 1 pts
If Jada has 30 dimes, how many quarters does she have?
Question 6 - 1 pts
Is the number of quarters a function of the number of dimes? If yes, write a rule (that starts with q =...) that you can use to determine the output, q, from a given input, d. If no, explain why not.
f(x) = x + 13. Find the inverse of f(x).
O A. f '(x) = (x+13)
O B. f '(x) = x3 + 13
O c. f '(x) = 23 – 13
O D. f '(x) = (2 – 13)"
SUBMI
The answer should be x-13
It is first down in a football game. Your team has the ball at your 25-yard marker, and the play is a successful run for 6 yards.
Where does the ball end up? Where is the ball relative to where it started? Use the number line to find the answer.
Enter the correct answers in the boxes.
Answer:
the ball would be at the 31 yard line, because you are moving 6 yards closer to midfield which would be 50, and the end zone if he ran all the way there would be 69 more yards
Please help me out! View the image below!
Answer:
y=-2x+1
Step-by-step explanation:
Look at the photo i think
The perimeter of the rectangle below is 104 units. Find the length of side RS.
Write your answer without variables.
S
3z
R
4z + 3
RS = ]
х
P
Q
add the expression (1/4x - 4 + 2y) + (2/5x + 5 - 4y)
Answer:
= 13/ 20 x − 2y+1
Here's your answer, I hope you enjoy.
Which is greater 1.44 or 1.2544
Answer:
1.44
Step-by-step explanation:
Answer:
1.2544
Step-by-step explanation:
It is closer to 1 than the latter.
In the coordinate plane, point A(-1,-1) is translated to point A' (-3.-3). Under the same translation, the points B(-4,-4) and C(5.-5) are translated to B' and C' respectively. What are the coordinates of B' and C'?
Answer:
B' (- 6, - 6 ) , C' (- 7, - 7 )
Step-by-step explanation:
Consider the coordinates of A and A'
A (- 1, - 1 ) , A' (- 3, - 3 )
- 1 to - 3 in both the x and y direction means subtracting 2 units , then
translation rule is
(x, y ) → (x - 2, y - 2 ) , then
B (- 4, - 4 ) → B' (- 4 - 2, - 4 - 2 ) → B' (- 6, - 6 )
C (- 5, - 5 ) → C' (- 5 - 2, - 5 - 2 ) → C' (- 7, - 7 )
20 POINTS PLEASE HELP ASAP!
Answer: increasing . . . positive . . . 2
Step-by-step explanation:
As best as I can tell . . .:
increasing . . . positive . . . 2.
The equation describing this line is y = 2x + 2
It has a positive (increasing) slope of 2 (with a y-intercept of +2).
Another destructive species transplanted by humans to the United States is the
Burmese Python, one of the largest snakes in the world. Imported as pets, some
escaped, and many more were released by their owners, possibly after getting
too big to care for. Most places are too cold for the tropical snake, but it has
begun to thrive in southern Florida.
Assume that the Burmese Python population in Florida is modeled by the
formula P(t) = Po: (1.15)? If there were 100,000 Burmese Pythons in 2010 (no
t
one really knows the exact number), how large could the population become by
2050 (without human intervention)?
Without human intervention, by 2050 there will be 26,786,354 Burmese Pythons in the United States.
Given that it is proposed that the Burmese Python is increasing its population at a rate of 1.15 year by year, and that it is estimated that by 2010 there were 100,000 of these in the United States, to estimate how many there will be by 2050 the following calculation should be done:
100,000 x 1.15 ^ (2050-2010) = X 100,000 x 1.15 ^ 40 = X 100,000 x 267.86 = X 26,786,354.62 = X
Therefore, without human intervention, by 2050 there will be 26,786,354 Burmese Pythons in the United States.
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4(v + 8) = 40
Which solutions makes this equation true?
1. 2
2. 4
(2.1 x 10^2) x (3.0 x 10 ^4)
Answer: 6,300,000
Step-by-step explanation:
First solve the expressions in the parenthesis using PEMDAS or GERMDAS or any other one it would be simplified to
(2.1 x 100) x (3.0 x 10000)
210 x 30000
6,300,000
please help me fast with explanation
Answer:
1. Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10. The sign of the exponent will depend on the direction you are moving the decimal. 4.8×10−23
2. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
3.888×10^10
3.The sign of the exponent will depend on the direction you are moving the decimal.4.2×10−3
Just use the same explanation in number 1 to get the right answer.
What is 30 divided by 4? Show your work and explain.
Answer:
7.5
30
÷
4
__
7.5
4×6=24
4×7= 28
4×8= 32
4×8= X
4×7.5= 30
Hey can you help me out with this problem?
Answer:
10
Step-by-step explanation:
20/2=10 smores
Over 4 days, Krista deposited $45 into her bank account, transferred $30 1 point
to a friend, deposited $59, and withdrew $18. What was the mean change
per day to Krista's account in dollars during that week? *
the value of a + b + c for equation 2 Y - x = 7 is
Answer:
Correct option is
B
1.x+0.y=7
x=7 can be written as, 1.x+0.y=7 as the coefficient of x is 1 and that of y is 0. Step-by-step explanation:
long divison divide 664 and 1600
Answer:
272, remainder 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
2.41
I got a very long number but then I rounded to the nearest hundreth
The square of the sum of two consecutive positive even integers is greater than the sum of their squares by 48. Find the two integers.
Answer:
4 and 6 or -6 and -4Step-by-step explanation:
Let the numbers are 2x and 2x + 2.
We have:
(2x + 2x + 2)² = (2x)² + (2x + 2)² + 484(2x + 1)² = 4x² + 4(x + 1)² + 48(2x + 1)² = x² + (x + 1)² + 124x² + 4x + 1 = x² + x² + 2x + 1 + 122x² + 2x - 12 = 0x² + x - 6 = 0(x - 2)(x + 3) = 0x = 2, x = -3The numbers are:
4 and 6 or - 6 and - 47/8÷2/3= __
can i get only the answer
Answer:
21/16
Step-by-step explanation:
hope it hepls pa brainlest na din po
Answer:
in fraction= 1 5/16
in decimal = 1.3125
4y²=49 solve the equation
[tex]4y ^{2} = 49 \\ = > {y}^{2} = \frac{49}{4} \\ = > {y} = \sqrt{ \frac{49}{4} } \\ = > y = \frac{ \sqrt{49} }{ \sqrt{4} } \\ = > y = \frac{7}{2} \\ = > y = 3.5[/tex]
Answer:y = 3.5
Guinea made a scale drawing of a window she is making for her house.
1 centimeter = 3 inches. Triangle A B C. Side A is 4 centimeters, side B is 3 centimeters, and side C is 5 centimeters.
Which proportion could Guinea use to find the length of side B?
Answer:
The answer is c: 1cm/3in = 3 cm/Xin
Step-by-step explanation:
PLZ HELP...........................................
Answer:
y=x-2+√3
Step-by-step explanation:
I'm not sure keep it up
PLEASE HELP I KNOW I DONT HAVE THAT MUCH POINTS BUT NOBODY HAS HELPED ME WITH THIS :C I'LL GIVE BRAINLIEST 5 STARS AND A THANKS ITS DUE SOON SO THANKS IF U HELPED :C
Answer:
Step-by-step explanation:
Simplest way to do this?
Plug a point in each equation given.
Point I'm using: (1, 5650)
Mateo's Equation: y= 125x+5775
5650= 125(1)+5775
5650=5900
False. His equation is not correct.
Do this for the rest of equations.