A Sierpinski triangle can be created by starting with an equilateral triangle, breaking the triangle into 4 congruent equilateral triangles, and then removing the middle triangle.
Starting from a single black equilateral triangle with an area of 256 square inches. Repeat this 5 times
Answers
Answer:
number of shades triangles 1,3,9,27,81,243 (multiply 3)
area of each shaded triangle in square inches 256,64,16,4,1,.25(divide by 4)
Step-by-step explanation:
A geometric sequence is given by multiplying the previous term by a constant
Question: The missing part of the question appear to be the following;
Part A
Complete the following table;
[tex]\begin{array}{|c|c|c|}Step \ number &Number \ of \, shaded \ triangles& Each \ shaded \ triangle \ area \ (in^2) \\&& \\0&1&256\\ &&\\1&3&64 \\ &&\\2&9&16 \\&& \\3&27&4 \\&&\\4&81&1 \\&&\\5&243&\dfrac{1}{4} \end{array}\right][/tex]
Part B
(i) To graph the number of shaded triangles as function of the step number
Please find attached the required graph created with MS Excel
(i) To graph the each shaded triangle area as function of the step number
Please find attached the required graph created with MS Excel
Part C
The similarities in the graphs are;
The domains of the graphs are equal to 0 ≤ x ≤ 5The ranges of the graphs are approximately equal The graphs appear to to be a reflection across the y-axisThe difference in the graphs are;
The graph of the number of shaded triangles as function of the step has the shape of an inverse proportional relationshipThe graph of each shaded triangle area as function of the step number has the shape of an exponential relationLearn more about geometric sequences here:
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Related Questions
Give a reason why the number 0.393993999399993999993… is irrational
Answers
Answer:
Its Irrational because it does not repeat or terrminate.
Step-by-step explanation:
Rational numbers end, and this one does not not. It also is not a patteren so it dont repeat.
A bag contains 15 marbles. The probability of randomly selecting a green marble is 1/5. The probability of randomly
selecting a green marble, replacing it, and then randomly selecting a blue marble is 2/25. How many blue marbles are
in the bag?
02
3
05
06
Answers
Answer:
The answer is 6 whole marbles.
Step-by-step explanation:
HOPE IT HELPS!!! :] Would not mind BRANILIEST!
If m/n = 0,mnnnnn....., what is the value of m+n
Answers
Answer:
n
Step-by-step explanation:
m/n = 0
=> m = 0 × n
=> m = 0
n + 0 = n
Point K is between points J and L. If JK=x2−4x, KL=3x−2, and JL=28, find JK and KL.
Answers
Answer:
Step-by-step explanation:
JK + KL = JL
x² - 4x +3x - 2 = 28
x² - x - 2 = 28
x² - x -2 - 28 = 0
x² - x - 30 = 0
Sum = -1
Product = -30
Factors = -6 , 5 {-6 + 5 = -1 and (-6)*5 = -30}
x² + 5x - 6x - 30 = 0 {Rewrite the middle term}
x(x + 5) - 6(x + 5) = 0
(x + 5)(x - 6)= 0
x -6 = 0 {X +5 = 0 is ignored as measurement will not be negative}
x = 6
JK = x² - 4x
= 6² - 4*6
= 36 - 24
JK = 12
KL = 3x -2
= 3*6 - 2
= 18 - 2
KL = 16
3 km : 1200 m
? : ?
what is both mean
Answers
Step-by-step explanation:
Answer in attached picture
hope it helps
Answer:
5:2
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Vanessa has $60 to spend on rides at the state fair. Each ride cost $4
Answers
given the diameter of a circle is 17 1/2cm, find its area. (use π=22/7)
Answers
Step-by-step explanation:
a
[tex]area \: of \: circle = \pi{r}^{2} \\ = 22 \div 7{ \times (35 \div 2)}^{2} \\ = 3.14 \times 306.25 \\ = 961.625 {cm}^{2} [/tex]
hope it helps.stay safe healthy and happy...3D
h
1 A weather balloon took temperature readings
at vanous heights in the lower atmosphere.
Balloons at lower altitudes had higher
temperature readings. Which list shows
balloons in order of increasing altitude?
m
W
D
A 10.8°, 30.1". 55.49, 68.90, 71.20
B 42. 1º. 40.5º. 39. 70. 34.49. 30.00
C 30.00. 50.00 40.09. 60.09.2008
D 52 533 518 5 3 4
A
c
D
Answers
In this situation, As we rise to higher attires, the temperature lowers therefore, only Option B [42. 1º. 40.5º. 39. 70. 34.49. 30.00] follows that requirement.
Now show why there are other possibilities wrong
Option A increases with the altitude, which violets the particular condition.Option C again increases at this temperature as the altitude increases and abruptly falls to 20, which is not our condition.option D up to 51.8 sounds excellent, however, this is achievable as is our given situation but the temperature goes to 59.3, therefore, this option is also refused.Learn more:
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Points X and Y are in plane Z. Any point collinear with X and Y is also in plane Z
pls need answer huhu =(
Answers
Answer:
yes above statement is true
Step-by-step explanation:
mark me as brainliest ❤️
[tex] \large \mathfrak{Answer : }[/tex]
Yes, it's true that Any point that is collinear to points X and Y also lies in the same Z plane among X and Y.
Katha has 5 c. flour. Each cake
requires 1 cups. How many cakes can
she make?
Answers
Find the value of k such that the line through (k+3,7) and (-5,3 – k) has a
slope of 5/3.
Answers
Answer:
k= -14
Step-by-step explanation:
[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]
[tex] \frac{5}{3} = \frac{7 - (3 - k)}{k + 3 - ( - 5)} [/tex]
[tex] \frac{5}{3} = \frac{7 - 3 + k}{k + 3 + 5} [/tex]
[tex] \frac{5}{3} = \frac{4 + k}{k + 8} [/tex]
Cross multiply:
3(4 +k)= 5(k +8)
Expand:
12 +3k= 5k +40
Bring k terms to one side, constant to the other:
5k -3k= 12 -40
Simplify:
2k= -28
Divide both sides by 2:
k= -14
Solve the equation, justifying each step.
-4 (2x – 5) = -4x – 20
Answers
Step-by-step explanation:
everything can be found in the picture
Ray SP bisects mZRST.
If m RSP = 3X – 2 and m PST = 9x -26
Answer: Find : mZRST
Answers
Answer:
RST = 20
Step-by-step explanation:
a ray that divides an angle into two equal angles is called an angle bisector.
So RSP = PST
3 x -2 = 9x - 26
6x = 24
x = 4
RST = 3x -2 + 9x -26 = 20
Gabriel borrowed some money from his friend in order to help buy a new video game system. Gabriel agreed to pay the friend back some amount every week until his loan was paid off. Let LL represent the amount Gabriel owes his friend after tt weeks. A graph of LL is shown below. Write an equation for LL then state the slope of the graph and determine its interpretation in the context of the problem.
Answers
The equation of the line is y = (15/2)x + 80.
The slope of the line is 15/2.
We have,
The coordinates from the graph:
(0, 80) (2, 65) and (3, 55).
Now,
The slope can be calculated as:
= (d - b) / (c - a)
where (a, b) and (c, d) are the two coordinates.
Consider (a, b) = (0, 80) and (c, d) = (2, 65)
Slope = (65 - 80) / (2 - 0)
Slope = 15/2
Now,
The equation of the line:
y = mx + c _______(1)
Where m is the slope and c is the y-intercept.
Consider: (0, 80) = (x, y)
80 = 15/2 x 0 + c
c = 80
And,
Substitute c = 80 and m = 15/2 in (1).
y = (15/2)x + 80
Thus,
The equation of the line is y = (15/2)x + 80.
The slope of the line is 15/2.
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(2-6i)(8+i)(9-3i). If u could show me the process that would be great ty <3
Answers
Answer:
(19)(-8i)
Step-by-step explanation:
(2 - 6i)(8 + i)(9 - 3i)
(2 + 8 + 9)(-6i + i - 31)
(19)(-8i)
the 1st, 5th and 10th terms of a linear sequence are GP. if the sum of the 2nd and 8th term of the linear sequence is 30 find the first term
Answers
Answer:
12 or 15Step-by-step explanation:
Let the first term is a and common difference is d.
Given:
a, a₅ and a₁₀ form a GP ⇒ a₅/a = a₁₀/a₅a₂ + a₈ = 30a = ?Use the equation of nth term:
a₅ = a + 4da₁₀ = a + 9da₂ = a + da₈ = a + 7dAccording to the given we have:
(a + 4d)² = a(a + 9d) a² + 8ad + 16d² = a² + 9ad16d² = add(16d - a) = 01. d = 0or
2. a = 16dNow, use the equation of sum:
a + d + a + 7d = 302a + 8d = 30a + 4d = 15a = 15 - 4dCompare the value of a and find d:
1. d = 0
a = 15 - 4*0 = 15, in this case all the terms are same2. a = 16d
15 - 4d = 16d20d = 15d = 15/20d = 0.75Find a:
a = 16*0.75a = 12given the point (-3,-6) translate it 4 units down what are the new coordinates
Answers
Answer:
(-3,-10)
Step-by-step explanation:
4 units down means -4 from the y axis
-6 - 4 = -10
On a homework assignment or in the study plan, you would click the Check Answer button to check
Answers
48 POINTS PLEASE HELPPPPPPP....The formula for the area of a traingle is 1/2 bh, where b is the length of base of the traingle and h is the vertical height. Use the formula to find the height of a traingle with a base length of 8 inches and an area of 39 square inches.
Answers
Answer:
h=39/4
Step-by-step explanation:
area of a triangle = 1/2(b*h)
base = 8 inches
area =39 square inches
input the values given:
39=1/2(8*h)
multiply the right side by 1/2
39=(1/2)8h
find half of 8
39=1/2*8 (h)
hence,
39=4h
divide both sides by 4
hence,
39/4=h
please help!!!!
Name the shaded region
Answers
Answer:
B union C
Step-by-step explanation:
Hope it will help you
?????????????????????????????
Answers
Answer:
∠ WMX = 65°
Step-by-step explanation:
∠ WMX = ∠ VMX - ∠ VMW = 90° - 25° = 65°
Select the choice that translates the following verbal phrase correctly to algebra:
the difference of m and 7 increased by 15
Options:
m − (7 + 15)
7m + 15
(m − 7) + 15
m − 7 ÷ 15
Answers
Answer:
(m - 7) + 15
Step-by-step explanation:
A difference is the result of a subtraction, so the difference of m and 7 is
m - 7
An increase is obtained by addition, so to increase the difference by 15, add 15 to the difference.
(m - 7) + 15
Help…………………………….sskskdkdkdkdkkdkdkdkd
Answers
Step-by-step explanation:
According to the above figure,
RS+ST=RT
4x+12x=32
16x=32
x=32/16
x=2
Now,
ST=12x
ST=12×2
ST=24
Jeremy has $1200 in spending money for the fall semester of college. He needs to purchase car insurance at $120 for 4 months, $25 a week to buy his lunch in the cafeteria every day, and $20 bi weekly for entertainment. If the semester is 16 weeks long, will Jeremy have $200 to spend on Christmas presents for his family? Explain
Answers
Answer:
Jeremy Will have more than just $200 to spend on Christmas presents.
Explanation :
He has a total of $1200.
He spends a $120 for car insurance. (1)
He needs to spend $25 a week for lunch. He has to do this for 16 weeks so 25*16 = $400. (2)
He needs to spend $20 a week for entertainment. For 16 weeks that'll be 20*16 = $320 (3)
adding (1) (2) and (3)
We get Jeremy's total spending will be $840. Jeremy has $1200.
1200-840 = $360
So Jeremy will have $360 to spend on Christmas present.
Given AB with A(3,-1) and B(8, 14), if p lies on AB such that the ratio of AP to PB is 2:3, find the coordinates of P.
Answers
The coordinate point P is at (6, 8) given AB with A(3,-1) and B(8, 14), if p lies on AB such that the ratio of AP to PB is 2:3 is (6, 8)
Midpoint is the point that divides a line into two equal parts.
The formula for calculating the midpoint of a line divided within the ratio a:b is expressed as:
[tex]M(X, Y)=(\frac{ax_1+bx_2}{a+b}, \frac{ay_1+by_2}{a+b} )[/tex]
Given the coordinate point A(3,-1) and B(8, 14) and the ratio 2:3
Get the X coordinate of point P
[tex]X = \frac{2(3)+3(8)}{2+3}\\X=\frac{6+24}{5} \\X = \frac{30}{5}\\X=6[/tex]
Get the Y coordinate of point P
[tex]Y = \frac{2(-1)+3(14)}{2+3}\\Y=\frac{-2+42}{5} \\Y = \frac{40}{5}\\Y=8[/tex]
hence the coordinate point P is at (6, 8)
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PLEASE HELP !!!!!!!!!!!!!!!!!!! I REWARD BRAINLIEST
Answers
Answer:
................
x=23°
x=14°
[tex]\\ \sf\longmapsto x+4x+65=180[/tex]
[tex]\\ \sf\longmapsto 5x+65=180[/tex]
[tex]\\ \sf\longmapsto 5x=180-65[/tex]
[tex]\\ \sf\longmapsto 5x=115[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{115}{5}[/tex]
[tex]\\ \sf\longmapsto x=23[/tex]
#2
[tex]\\ \sf\longmapsto 6x+2x+124=180[/tex]
[tex]\\ \sf\longmapsto 8x+124=180[/tex]
[tex]\\ \sf\longmapsto 8x=180-124[/tex]
[tex]\\ \sf\longmapsto 8x=56[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{56}{8}[/tex]
[tex]\\ \sf\longmapsto x=7[/tex]
g(n)=n^3+n
g(-3)
help!
Answers
please help I need this done like now.
Answers
Answer:
CM = 16
MD = 16
CD = 32
Step-by-step explanation:
To find the value of x
3x + 1 = 8x - 24 (we know that M is the mid point so both of the lines will be equal)
Transpose
1 + 24 = 8x - 3x
25 = 5x
x = 25/5
x = 5
CM = 3x + 1
= 3(5) + 1
= 15 +1
= 16
MD = 8x - 24
= 8(5) - 24
= 40 - 24
= 16
CD = CM + MD
= 16 + 16
= 32
Which equation can be used to solve for x in the following diagram
Answers
Answer:
C. (3x + 12) + x = 180
Step-by-step explanation:
[tex](3x + 12) \degree + x \degree = 180 \degree \\ \{angles \: on \: straight \: line \} [/tex]
group like terms together:
[tex](3x + x) + 12 = 180 \\ 4x = 180 - 12 \\ 4x = 168 \\ x = 42[/tex]
(3x + 12) and x represent 180 combined.
so (3x + 12) + x = 180, combine your like terms which is your x, x + 3x = 4x
4x + 12 = 180 (subtract 12 on both sides)
-12 -12
————————
4x = 168 (divide 4 on both sides)
—- ——
4 4
x = 42
to check your answer you replace the x with 42 and you should get 180 as your answer
(3x+12) = 180
3(42)+12 = 180
126 + 12 = 138
x = 42
138 + 42 = 180
does anyone know i really need help please??? :)
