Answer:
Step-by-step explanation:
There are two polygons. The larger one has three times as many sides as the smaller one. Its angle sum is four times as big. How many sides does the smaller polygon have? (Need full solution)?
“Three times as many sides” means the larger polygon has a multiple of 3 sides. 3 is the fewest sides any polygon can have, so it has not less than 9 sides.
Its angle sum is four times the smaller one’s. This applies to interior angles.
A triangle’s sum is 180. A square’s is 360. A pentagon’s is 540. Any sum will be a multiple of 180, and equal to the number of sides minus two, then multiplied by 180.
A hexagon has 6 sides, so 4×180=720 degrees sum. That part fits the triangle, but we know that can’t be the answer because 3×3=9.
So start at 9.
7×180÷4 can’t be a multiple of 180. What we need is a multiple of 3 which is 2 greater than a multiple of 4.
18 fits that description.
The 18-gon’s interior sum is 16×180=2880, divide that by 4 to get 720, which is the hexagon’s sum.
18÷6=3, so we have a solution. The smaller polygon can be a hexagon.
We should check the next one though. Multiples of 3: 21, 24, 27, 30, 33, 36, 39, 42 (every 4th multiple of 3 will be 2 more than a multiple of 4).
So the 30-gon:
28×180=5040
5040÷4=1260
1260÷180=7
7+2=9
9×3=27
Off by 3.
The 42-gon:
((((((42–2)×180)÷4)÷180)+2)×3)=36
Off by 6. It will keep getting farther away, so we have a unique solution.
I'm lost at this point, if you can help me I'll give you 10 points..
Answer:
So all the possible solutions are:
[tex]\bold{204.4~and~217.6.}[/tex]Solution Steps:
First you need to solve the real inequality to understand how to find the rest of the possible equations.
Subtract 13.2 from both sides:
[tex]13.2-13.2=[/tex] Cancels Out[tex]217.6-13.2=204.4[/tex]So now we know the real answer, but now we must find all the possible solutions.
(Means anything greater than or equal to 217.6 when you plug it into x + 13.2 ≥ 217.6.)
Numbers that are greater than 378:
1.) [tex]204.4+13.2=217.6[/tex] ≥ [tex]217.6[/tex] (True)
2.) [tex]217.6+13.2=230.8[/tex] ≥ [tex]217.6[/tex] (True)
3.) [tex]204.3+13.2=217.5[/tex] ≥ [tex]217.6[/tex] (False)
4.) [tex]0+13.2=13.2[/tex] ≥ [tex]217.6[/tex] (False)
5.) [tex]13.2+13.2=26.4[/tex] ≥ [tex]217.6[/tex] (False)
6.) [tex]200.4+13.2=213.6[/tex] ≥ [tex]217.6[/tex] (False)
7.) [tex]-200+13.2=-186.8[/tex] ≥ [tex]217.6[/tex] (False)
8.) [tex]13.2+13.2=26.4[/tex] ≥ [tex]217.6[/tex] (False)
Now put all the numbers together to form the code.
(Could either be the numbers on the side of the table or the accumulation of all the numbers in possible solutions.)
Code:
[tex]2044,2176[/tex] or [tex]1,2[/tex]______________________________
[tex]\bold{Hope~this~helps!}\\\bold{If~you~need~help~with~anything~else,~feel~free~to~ask!}\\\\\bold{~~~~~-TotallyNotTrillex}[/tex]
I WILL GIVE YOU BRAINLIEST Simplify the expression using the distributive property.
4(3x + 2)
A. 7x + 8
B.12x + 2
C. 7x + 6
D.12x + 8
SHOW YOUR WORK PLZSSSSSSS
what the slope of(-7,-5) (5,-17)
Answer:
-1
Step-by-step explanation:
Answer:
y = -1x
Step-by-step explanation:
Find the difference,
(-7,-5) (5,-17)
12, -12
12/-12
reduce,
1/-1
-1x
Ace Carlos
Please help me answer please
Answer:
x=75
Step-by-step explanation:
Convert 21.3 feet per minute to yards per minute.
Answer:
7.1 yard per min
Step-by-step explanation:
Subtract 0.6 - 0.23.
10 -9 x 5 + 6 x ( -2 ) evaluate
Answer:
-47
Step-by-step explanation:
10 -9 x 5 + 6 x ( -2 )
10-45+6 x -2
10-45-12
-35-12
-47
Divide. Write your answer as a fraction or mixed number in simplest form.
8 • 3 3/5
Jenna is making 9 costumes for the dance recital. Each costume uses 12 feet of fabric. How much fabric does Jenna need altogether? Use distributive property to solve.
Answer:
108
Step-by-step explanation:
If there is 9 costumes and each of the 9 costumes is 12 feet then you multiply 9 x 12 to get the answer, which is 108. (Please give me brainliest)
Please help me out :)
Which equation is true for the value b= 10?
O A.
2(b + 4) = 16
O B.
2(b + 2) = 40
O C.
3(b- 2) = 24
OD
2(8 + b) = 42
OE.
3(b - 4) = 20
Answer: C. 3(b-2)=24
Step-by-step explanation: See since b equals ten and by the rules of P.E.M.D.A.S the parenthesis/brackets comes first so 10-2 equals 8 and three times 8 is 24 therefore the answer is 24
Describe how to use scientific notation to write a very large number. Give an example written in both standard form and scientific notation.
Answer:
Scientific notation is simply changing a number to x times 10^n, where x is no more than 10 and more than 1.
For example, 134 would be 1.34 times 10^2.
What is the scale factor of this dilation?
1/2
3/5
1 2/3
2
Helpppppp plz I’ll give brainliest if it’s right.
what is the slope of line segment 7 ?
——PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((———
Answer:
The slope is 0 because it is a straight line
Step-by-step explanation:
Answer:
undefined.
Step-by-step explanation:
You could be really formal and use the slope formula
The y values are both the same -- 4.
The x values are 3.5 and 6.5
Therefore the slope is (6.5 - 3.5) / (4 - 4)
The denominator is 0
The slope is undefined because 3/0 is not very well behaved.
A horizontal line always gives an undefined amount.
math 6th grade
Suppose an artist is working on a painting. On Monday, he painted 1/2 of it. On Tuesday, he completed another 1/3 of the painting. What percent of the painting has yet to be done? Round your answer to the nearest whole percent.
Answer:
17%
Step-by-step explanation:
1/2+1/3=5/6,so 1/6 left. That is 16.66666666666667 or 17%..
Hope this helps plz hit the crown :D
please help!! <3 and plsexplain how u got it *15 points*
Kiyo bought a pizza for $12.75 and four medium drinks at Pauli's Pizza. Define a variable and write an expression to represent the total amount of money he spent. Then find the total cost if one drink costs $3.
Answer:
4×3=12 total cost for the drinks
12.75 + 12= $24.75 total cost for the pizza and drinks combined
Given that f(x)=4x3-12x2+10 and g(x)=x3 – 2x2 + 5x
The value of f(x)- g(x)= ax'+bx?+ cx+d. What are the values of the coefficients a,b,c,d?
Answer:
The values of a,b,c and d are as follows:
a = 3, b = -12, c = -5, d = 10
Step-by-step explanation:
Given functions are:
[tex]f(x) = 4x^3-12x^2+10\\g(x) = x^3-2x^2+5x[/tex]
We have to find the value of f(x) - g(x). This means we have to subtract function g(x) from function f(x)
So,
[tex]f(x) - g(x) = (4x^3-12x^2+10)-(x^3-2x^2+5x)\\= 4x^3-12x^2+10-x^3+2x^2-5x[/tex]
Combining alike terms
[tex]= 4x^3-x^3-12x^2+2x^2-5x+10\\= 3x^3-10x^2-5x+10[/tex]
Now it was given that:
f(x)- g(x)= ax^3+bx^2+ cx+d
By comparing both we get
a = 3, b = -12, c = -5, d = 10
Hence,
The values of a,b,c and d are as follows:
a = 3, b = -12, c = -5, d = 10
Simplify the expression
(-a)^-18
Gabe bought five sacks of apples each sack weighed 12 lb he paid three for each pound of apples what was the total cost of all of the apples Gabe bought
Answer:
The cost of 12lbs of apples is $36.
Step-by-step explanation:
⟹ Lets Solve!
⟹ First we must define x and y.
x is the lb's of apples and y is the cost.
⟹ Now lets form our equation.
[tex]3x = y[/tex]
[tex]x = 12[/tex]
⟹ Since gabe bought 12 pounds of apples x = 12.
⟹ Now substitute x for 12.
[tex]3x = y[/tex]
[tex]3(12)= y[/tex]
⟹ Now multiply.
[tex]36 = y[/tex]
The cost of 12lbs of apples is $36.
Three friends grow groups of sunflowers.
Some think that Anna’s flowers are the tallest because the mean height of her flowers is the greatest.
Others think Anna’s flowers are the shortest because the median height of her flowers is the least.
The plots show the heights for each friend’s flowers.
Which is the most likely plot for Anna’s flowers?
Step-by-step explanation:
es la numero 3
Answer:
Option 3 is the most common plot for Anna’s flowers
Please help meh im so bad at this stuff lol
Answer:
40 Baskets
Step-by-step explanation:
4 baskets = 1/2 hour
? baskets = 5 hours
This means, 8 baskets = 1 hour
8 x 5 = 40
Therefore,
40 baskets = 5 hours
Answer:
40/1 baskets
Step-by-step explanation:
Which expression is not equivalent to the other three A) -9- 7 + 16n
Answer:
-16(1-n)
Step-by-step explanation:
Answer:
your answer would be -16(1-n)
Step-by-step explanation:
Find the distance between points p (-2,6) and q (4,-8)
Answer: 2√58
the distance between points p (-2,6) and q (4,-8) is [tex]\sqrt{(4-(-2))^{2}+(-8-6)^{2} } =\sqrt{6^{2} +(-14)^{2} }=2\sqrt{58}[/tex]
Step-by-step explanation:
Salma and John walk around a track. Salma walks each lap in 10 minutes. John walks each lap in 12 minutes. The two of them begin at the starting line at the
same time. They walk until they meet again at the starting line.
Answer:
If you're asking how long it will take for them to meet again, it will take 60 minutes.
Step-by-step explanation:
Can someone show me how do I do this please?
Answer:
the awnser is c
Step-by-step explanation:
A- 100:1 would mean it is a 10000% markup
B- 1:100 lower than b so eliminate
C- 2:1 So a is double the amount of b so it's 100%
D- 1:2 B is 100% of a so it's flipped, not what question is asking for
So process of elimination shows that C is the correct awnser
Write the equation of the line fully simplified slope-intercept form
Answer:
y=mx+b
Step-by-step explanation:
Answer:
y = (5/2)x - 5
Step-by-step explanation:
SLOPE:
The slope is rise over run, and in this case (thanks to the graph), we can do the [difference of y] / [difference of x] pretty easily. This is 5 / 2
Y-INTERCEPT:
Y-intercept is simple: where the line touches the y-axis. This happens at y = -5.
Therefore, the equation y = (5/2)x - 5
What are the roots of the polynomial equation XP-7x= 6x-12? Use a graphing calculator and a system of equations.
-6,6
4, 1,3
0 -3,-1,4
o 1,3
Answer: option B
Step-by-step explanation:
-4, 1, 3
The roots of the polynomial equation x³ - 7x = 6x - 12 is given by the values x = -4 , 1 , 3
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the polynomial equation be represented as A
Now , the value of A is
x³ - 7x = 6x - 12 be equation (1)
Now , it can be represented as 2 equations of the form
A = x³ - 7x be equation (2)
And , B = 6x - 12 be equation (3)
On plotting the graphs of the two equations , we get
The point of intersection of the equations is at P ( -4 , -36 ) , Q ( 1 , -6 ) and R ( 3 , 6 )
Therefore , the x coordinates of the points are x = -4 , 1 , 3
Hence , the roots of the polynomial is x = -4 , 1 , 3
To learn more about polynomial equations click :
https://brainly.com/question/13199883
#SPJ7
A passenger train travels 528 miles in 8 hours
Answer:
66 miles per hour
Step-by-step explanation:
528/8 = 66 miles per hour
Answer:
66 miles/hour.
Step-by-step explanation:
Its average speed is 528/8
= 66 miles/hour.
Here are 2 functions function x——>x3——>-2——->y
What are you trying to ask?
I might be able to answer the question correctly if you'd be more specific about the question.
What is this math please help ASAP
Answer:
A) A line
Step-by-step explanation:
Notice that:
x-y=4
-y=4-x
y=-4+x
y=x-4
The equation y=mx+b produces a line, so A) a line would be correct
Answer: is a line
Step-by-step explanation:
because does it have to be a line from a line