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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An apple orchard charges a $5 admission fee and $3 for each basket of apples you take home. Write an equation to represent the total cost if your trip to the apple orchard
Answer:
y = 3x + 5
Step-by-step explanation:
y = total cost
x = basket of apples
5 = admission fee
y = cost per basket + admission fee
y = 3x + 5
can someone pls help me
Answer:10 & 12
Step-by-step explanation:
Answer:
The 5th step will need 32 blocks, and the 6th step will need 64 blocks.
Step-by-step explanation:
Each step requires the blocks to be doubled. The first step has two, 2x2 is 4. There are 4 blocks in the next step. 4x2 is 8. There are 8 blocks in the next step, and so on and so forth. Just multiply by 2. Hope this helped!
surface of a cuboid
Answer:
148 cm2
Step-by-step explanation:
5 * 4 * 2 = 40
6 * 5 * 2 = 60
6 * 4 * 2 = 48
40 + 60 + 48 = 148
Answer:
» 148 cm²Step-by-step explanation:
T.S.A (TOTAL SURFACE AREA) OF CUBOID :
→ 2(lb + bh + lh)
( l = length, b = breadth , h = height )
→ Given :
• Length (l) = 6cm
• Breadth (b) or width = 4cm
• Height (h) = 5cm
Total Surface area of cuboid :
• 2( 6×4+ 4×5+ 5×6) cm²
• 2 ( 24 + 20 + 30 ) cm²
• 2 ( 74 ) cm²
• 148 cm²
write factors of a2b
Answer:
The factors of a^2b is a×a×b.
Questions linked below
Answer:
The blur of the photo I do not understand sorry
Step-by-step explanation:
ty for the points
A car has a 16 gallon fuel tank when driving on a highway it has a gas milage of 30 miles per gallon how many miles has a car traveled if it has 2.5 gallons of gas left in the tank
Answer:
The car has traveled 405 miles if it has 2.5 gallons of gas left in the tank.
Step-by-step explanation:
16 - 2.5 = 13.5 ( The amount of gas the car has already used )
30 * 13.5 = 405 ( How far the car traveled with 13.5 gallons of gas )
Hope this helps!
A few weeks ago, Tori bought 4 apples from her local farmers' market. Today, she bought 3 apples. What is the percent of decrease in the number of apples bought?
Answer:
25%
Step-by-step explanation:
(original value - new value / original value) x 100
So
4 - 3 = 1
1/4 = 0.25
0.25 x 100 = 25
So there was a 25% decrease in the number of apples bought.
Hope it helps :)
Find the value of x. Then find the measure of each labeled angle.
Answer:
x = 114°
Step-by-step explanation:
x + (x - 48) = 180
2x = 228
x = 114
114 - 48 = 66
please help me with this
Answer:
Step-by-step explanation:
sum of angles of a triangle=180°
9x-2+3x-19+3x+6=180
15x-15=180
15x=180+15=195
x=195/15=13
m∠G=9x-2=9×13-2=117-2=115°
please help!! the blank ones are the answer you can choose which one is correct.
Answer:
25 percent the answer is 25 percent I'm pretty sure. cause it's just 112.5/450
PLEASE HELP
Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y+ 6 = 5(x-3)
Answer:
5x - y = 21
Step-by-step explanation:
Given the linear equation in point-slope form, y + 6 = 5(x - 3):
In order to transform the given equation into its standard form, Ax + By = C, start by distributing 5 into the parenthesis:
y + 6 = 5(x - 3)
y + 6 = 5x - 15
Subtract 5x from both sides:
- 5x + y + 6 = 5x - 5x - 15
- 5x + y + 6 = - 15
Subtract 6 from both sides:
- 5x + y + 6 - 6 = - 15 - 6
- 5x + y = - 21
Divide both sides by -1:
[tex]\frac{-5x + y}{-1} = \frac{-21}{-1}[/tex]
5x - y = 21
I NEED SOMEONE WHO IS GOOD AT MATH AND WHO CAN GIVE ME THE RIGHT ANSWERS FOR THESE ASAP NO LINKS !!!
Step-by-step explanation:
2x + 9 = 35
→ 2x = 35 - 9 = 26
→ x = 26/2 = 13
→ x = 13
therefore, option A is correct
4 + | 7 - m | = 5
→ | -m + 7 | = 5 - 4
→ - m + 7 = 1 ( however or (only) m < 7 )
→ ( -m + 7 ) ( however or only m ≥ 7 )
→ m = 6 and m = 8
therefore, Option B is correct.
3t + 3/5 = 6
→ 3t + 3 = 6 × 5 = 30
→ 3t = 30 - 3 = 27
→ t = 27/3 = 9
→ t = 9
6(d + 1) - 2d = 54
→ 6d + 6 - 2d = 54
→ 4d + 6 = 54
→ 4d = 54 - 6 = 48
→ d = 48/4 = 12
→ d = 12
-110 = 13 + 3(4h - 6)
→ -110 = 13 + 12h - 18
→ -12h = 13 - 18 + 110
→ -12h = 105
→ h = 105/12
→ h = 8.75
hope this answer helps you dear!..
is 3.2128 rational or irrational
3.2128 is a rational number because you can not make it into a fraction/ratio
What is the value of r?
Answer:
its 40
Step-by-step explanation:
180-100=80
80/2= 40
How far did the cargo ship travel in one hour?
a
The ship travels 50 nautical miles in 1 hour.
b
The ship travels 25 nautical miles in 1 hour.
c
The ship travels 75 nautical miles in 1 hour.
d
The ship travels 100 nautical miles in 1 hour.
Answer:
needs a image not much information working with
Help me in my math thank you
Answer:
1. B. 12
2. D. 6
3. A. 12
4. C. 64
5. D. 1[tex]\frac{17}{18}[/tex]
6. B. 16
Step-by-step explanation:
Please help I will give brainless and hearts and stars!!!
Answer:
you have to do it look up how to chart coordinates
Step-by-step explanation:
Answer:
ok brain less and point alr bet I will do this feal quick
Step-by-step explanation:
ok so the anser r very ez
first multiply and do tibi top in botton out dived the factor and thete for u will get *** and ****** **** *** for the first anser
please answer this question
Answer:
3rd option
Step-by-step explanation:
a point (0, y ) lies on the y- axis
a point (x, 0 ) lies on the x- axis
a point (x, y ) lies in I quadrant
a point (- x, y ) lies in II quadrant
a point (- x, - y ) lies in III quadrant
a point (x, - y ) lies in IV quadrant
Then
point (2, - 5 ) lies in IV quadrant
-----------------------------------------------------------------
We require 2 equations with the repeating digit 7 placed after the decimal point.
let x = 0.427777... ( multiply both sides by 100 and 1000 )
100x = 42.777..... (1)
1000x = 427.777.... (2)
Subtract (1) from (2), thus eliminating the repeating digits
900x = 385 ( divide both sides by 900 )
x = [tex]\frac{385}{900}[/tex] = [tex]\frac{77}{180}[/tex]
The two triangles shown are congruent
Answer:
30* or A
Step-by-step explanation:
If the triangles are congruent, corresponding angles and sides are equal.
So angle c is 60* because it is opposite of side x.
angle b is 180-90-60 because all angles add up to 180 in a triangle.
I will give brainlist, 5 stars, and thanks! Please answer!!
Answer:
1 3/5
Step-by-step explanation:
if you multiply 1/5 x 8, you get the decimal 1.6, and 1.6 as a mixed fraction is 1 3/5
what is X?
-7x+4=-32
Answer:
The answer would be 36/7 and that would be 5.14285714286
Step-by-step explanation:
Answer:
Step-by-step explanation:
x=36/7
you jog 3 miles in 30 minutes. At that rate, how long will it take you to jog 6 miles
Answer:
1 hour
Step-by-step explanation:
am i right
Solve for x: x-10= -12
Answer:
x = -2
Step-by-step explanation:
Add 10 to both sides of the equation
x−10=−12
−10+10=−12+10
Simplify
Solution:
x= -2
CAN SOMEONE HELP ME WITH THIS EQUATION?
Answer:
82.96 people/km^2
Step-by-step explanation:
people / square km
3.70 x 10^9
----------------- =
4.46 x 10^7
3.70 x 10^2
----------------
4.46
0.8295... x 100 = 82.959641 or rounded 82.96
A machine salesperson earns a base salary of $40,000 plus a commission of $300 for every
machine he sells. Write an equation that shows the total amount of income the salesperson
earns, if he sells x machines in a year.
Answer:
$40,000 + $300x
Step-by-step explanation:
If the machine salesperson sold 5 machines, his commission would be $300 × 5 so if he sold x machines his commissions would be $300x. This value is added on to his base salary of $40,000.
Answer: $40,000 + $300x
what is the highest iq
Answer:
im pretty sure it was ainan celeste with their score of 263 IQ
Step-by-step explanation:
Answer:
Step-by-step explanation:
i think its 200
The point A(−4,5) is reflected over the point (2,3) and its image is point B. What are the coordinates of point B?
Answer: (8,1)
Step-by-step explanation:
The line that connects (-4,5) and (2,3) has a slope of (-2/6) or -1/3. The y-intercept is calculated from one of the points: 3 = -(1/3)*(2) + b
b = 3 2/3
The equation for the line is y = -(1/3)x + 3 2/3
The reflection covers a distance of x of (2 - (-4)) = 6. Add 6 to the x value of (2,3) and calculate the resulting y. (8,y): y = -(1/3)(8) + 3 2/3, y = -8/3 + 11/3 = 3/3 or 1
The point is (8,1)
Are the ratios 2:3 and 4:6 equivalent? Explain your answer.
PLSS HELP ME
Answer: Yes
Step-by-step explanation:
2:3 is the same as (2/3) and 4:6 is the same as (4/6). (4/6) can be reduced by dividing both sides by 1/22: (4/6)*(1/2)/(1/2) = 2/3, They are the same.
During a cold winter, the temperature stayed below zero for ten days (ranging from -20 to -5). The variance of the temperatures of the ten day period A. is negative since all the numbers are negative B. must be at least zero C. can not be computed since all the numbers are negative D. can be either negative or positive
Using the variance concept, it is found that the correct option is:
B. must be at least zero
The mean of a data-set is the sum of all observations divided by the number of observations.The variance of a data-set is the sum of the differences squared between each term and the mean, divided by the number of values.Since the variance is squared, it's minimum value is 0, and thus, the correct option is:
B. must be at least zero
A similar problem is given at https://brainly.com/question/14946088
Lucía makes braided key chains out of cotton cord. For every 8 feet of cotton cord she has, she can make 3 braided key chains. PART A Use a model to represent the relationship between the feet of cotton cord and the number of key chains. PART B Use the model to explain how to find the number of feet of cotton cord Lucia needs to make 5 key chains.
Lucía needs 13.33 feet of cotton.
Since Lucía makes braided key chains out of cotton cord, and for every 8 feet of cotton cord she has, she can make 3 braided key chains, to represent the relationship between the feet of cotton cord and the number of key chains and find the number of feet of cotton cord Lucia needs to make 5 key chains, the following calculations must be performed, through a cross multiplication:
8CC = 3KC 3 = 8 5 = X 5 x 8/3 = X 40/3 = X 13.33 = X
Therefore, Lucía needs 13.33 feet of cotton.
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