Answer:
The answer to each question is:
A.) 403.2 [tex]cm^{2}[/tex] B.) 100. 8 [tex]cm^{2}[/tex]Step-by-step explanation:
A.) To obtain the area of the dodecagon, you can use the next formula:
Area of a dodecagon = 6 * apothem * edgeIn the exercise, we have the edge (6 cm), but, to find the apothem of a dodecagon, that is the distance between the center of the polygon, and the middle point of each side, you can use the next formula:
Apothem = Edge * [tex]\frac{2+\sqrt{3}}{2}[/tex]If we replace the value of the edge, we obtain:
Apothem = 6 cm * [tex]\frac{2+\sqrt{3}}{2}[/tex]Apothem = 11.2 cm (approximately).With this data, we can find the area:
Area of a dodecagon = 6 * apothem * edgeArea of a dodecagon = 6 * 11.2 cm * 6 cmArea of a dodecagon = 403.2 [tex]cm^{2}[/tex]Then, the area of the dodecagon is 403.2 [tex]cm^{2}[/tex] approximately.
B.) As the area obtained is for 12 pieces, when the parents ate 9 pieces, just left 3 pieces, with these values you can make a rule of three.
If:
12 pieces = 403.2 [tex]cm^{2}[/tex]3 pieces = XThen:
X = (3 * 403.2 [tex]cm^{2}[/tex]) / 12X = 1209.6 [tex]cm^{2}[/tex] / 12X = 100. 8 [tex]cm^{2}[/tex]In this form, when the cookie has 3 pieces, its area is 100. 8 [tex]cm^{2}[/tex] approximately.
Factorize completely
2x^2+4x-6
Answer:
Solution given;
2x²+4x-6
2x²+6x-2x-6
2x(x+3)-2(x+3)
(x+3)(2x-2)
is your answer
Answer:
2(x + 3)(x - 1)
Step-by-step explanation:
Given
2x² + 4x - 6 ← factor out 2 from each term
= 2(x² + 2x - 3) ← factor the quadratic
Consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (+ 2)
The factors are + 3 and - 1 , since
3 × - 1 = - 3 and 3 - 1 = + 2 , then
x² + 2x - 3 = (x + 3)(x - 1) , so
2x² + 4x - 6 = 2(x + 3)(x - 1) ← in factored form
(15 POINTS AHH) Which of the following square roots is irrational?
Answer:
Triangle
Step-by-step explanation:
The square root of 99 is irrational.
Answer:
the triangle square root of 99
Step-by-step explanation:
Need answer please on this question
Answer:
answers are a d and b
Step-by-step explanation:
Solve by Elimination:
x + 6y = 28
2x - 3y = -19
Answer:
x=-2
y=5
Step-by-step explanation:
x=28-6y
2x-3y=-19
(substitute the value of x)
2(28-6y)-3y=-19
y=5
x=28-6*5
x=-2
can someone help me out with this
Answer:
x + 5, angle G is 16 degrees and angle F is
Step-by-step explanation:
3x + 11 = 5x - 9
3x + 10 = 5x
10 = 2x
x = 5
5(5) - 9 = 16
3(5) + 11 = 26
Suppose that the lifetimes of a certain kind of light bulb are normally distributed with a standard deviation if 110 hours. If exactly 95% of the bulbs die before 920 hours, find the mean lifetime if the bulbs
Answer:
The mean life time of the bulbs is approximately 739 hours
Step-by-step explanation:
Here, we want to calculate the mean life time
From the question, 95% of the bulbs die before 920 hours
What this mean is that the probability that a bulb will die before 920 hours is 95% = 95/100 = 0.95
Now, we need the z-score that is exactly equal to this value
Using the standard normal distribution table, the z-score corresponding to this probability value is 1.645
Mathematically;
z-score = (x-mean)/SD
In this case, x is 920, SD is standard deviation which is 920 hours
thus, we have it that;
1.645 = (920-mean)/110
110(1.645) = 920 - mean
180.95 = 920 - mean
mean = 920- 180.95
mean = 739.05
Which fractions are equivalent to -15/4? Select all that apply. A: -15/4 B:-15/-4 C:15/-4 D:15/4 E:- 4/15 F:4/-15
Answer:
-15/4
C:15/-4
Step-by-step explanation:
a negative number divided by another negative number gives a positive number : -15 / - 4 = +3.75
-15/4 and 15/-4 = -3.75
15/4 = 3.75 (two positive numbers divided with each other yields a positive number)
-4/15 and 4 / -15 = 0.27
At a fair 15% less people attended on Monday than the number of people who attended on Sunday. If 425 people attended on Monday, find the number of people who came to the fair on Sunday
Answer: 500
Step-by-step explanation:
let we suppose x people went to the fair on Sunday.
now number of people attend the fair on monday=x-15%of x.
x-15x/100=100x-15x/100
85x/100
A/q
85x/100=425
85x=42500
x=42500/85
500
so, 500 people. attended the fair on sunday
Find the zeros of the equation:
(x+10)(x-2) = 0
Answer:
[tex]x=-10;x=2[/tex]
Step-by-step explanation:
[tex](x+10)(x-2)=0\\(-10+10)(-10-2)=0\\0(-12)=0\\0=0[/tex]
[tex](x+10)(x-2)=0\\(2+10)(2-2)=0\\0(12)=0\\0=0[/tex]
Choose equal less or greater
Answer:
C is greater
D is less
Step-by-step explanation:
Hi is this correct please respond soon I love you so much thank you
Help needed for some geometry
Answer:
hope this help you. look it once.
expression expression expression expression expression expression expression expression expression expression expression expression expression expression expression
Answer:
expression
Step-by-step explanation:
Determine if the expression 9y^5+ y − 3y^3is a polynomial or not. If it is a
polynomial, state the type and degree of the polynomial.
ANSWER QUICK PLS
ANSWER QUICK PLS
The angle of elevation from the bottom of a slide to the top of the slide is
44°. If the top of the slide sits 16 feet above the ground, find the length of
the slide. Assume it is a straight slide.
Brainly bot here, telling you that your account has been temporarily banned, and the only people that can answer your questions are the other banned accounts. dm the managers to find out more information.
a cat is stuck on the root. if the ladder is 16 feet long and must be placed six feet away from the building. how high can the ladder reach up the building to help save the cat
Step-by-step explanation:
a^2 + b^2 = c^2
height + 6^2 = 16^2
height = 14.83
Help me on this please
Answer:
Radius = 3
Since radius is half of diameter diameter is 6 because 3 x 2= 6
Now I multiply that by pi so...
6 x 3.14 = 18.84 So 18.84 is our answer.
I need help with this problem due tonight 10 points!!!
Answer:
The value of the slope of the line is 1
Step-by-step explanation:
Here, we want to find the value of the slope of the line that passes through the given points
Mathematically, we have the equation as;
m = (y2-y1)/(x2-x1)
(x1,y1) = (4,-11)
(x2,y2) = (7,-8)
substituting these values in the slope equation, we have;
m = (-8-(-11))/(7-4) = 3/3 = 1
If f(x)=2x^2+x-3, which equation can be used to determine the zeros of the function?
A) 0=(2x-3)(x+1)
B) 0=(2x+3)(x-1)
C) 0=2x(x+1)-3
D) 0=2x(x-1)-3(x+1)
Answer:
B) 0=(2x+3)(x-1)
Step-by-step explanation:
factor the equation f(x) = 2x² + x - 3
=> f(x) = (2x + 3)(x - 1)
Option B is correct.
What is zeros of a function?A zero of a function is a member of x of the domain of f such that f(x) vanishes at x, that is the function f attains the value of 0 at x.
According to the given question
we have a function
[tex]f(x)=2x^{2} +x-3[/tex]
[tex]f(x)=2x^{2} + 3x-2x-3[/tex]
[tex]f(x)=2x^{2} -2x+3x-3[/tex]
[tex]f(x)=2x(x-1)+3(x-1)[/tex]
[tex]f(x)=(2x+3)(x-1)[/tex]
for finding the zeros of f(x), substitute f(x)=0
[tex](2x+3)(x-1)=0\\[/tex]
⇒ x=[tex]\frac{-3}{2}[/tex] and x=1
Hence, option B is used for finding the zeros of the given function f(x).
Learn more about the zeros of function here:
https://brainly.com/question/944636
#SPJ2
Which of the following is a polynomial?
O A. x^2 - 1
O B. x^-y+ 2
O c. (x^6 - 2)/(x^4 + 3)
O D. x^4+ x^4 + 16
Answer:
I think it's A...
Step-by-step explanation:
It's been a little while since I've done polynomials, binomials, monomials, etc., so I think I'm right, but sorry if I'm wrong...
is 0.9727 a positive correlation, negative correlation, or no correlation?
I NEED HELP! Im trying to find the height of a cone. How do I do the problem and can someone explain it step-to-step?
Answer:
first the primerter then the area
Step-by-step explanation:
Answer:
The height of the cone is simple... here are the steps
Step-by-step explanation:
V= 1/3πr²h
V would be 1,398
π would be 3.14
r² 9.2x9.2
so the new equation is 1,398=1/3(3.14)(84.64)h
Now to get h all by itself multiply all in the equation... after divide by 1/3
1,398= whatever number xh
Now divide that whatever number by 1,398 and you find the height.
Hope this helps.
MY LAST POINTS!!!!!! first to answer correctly gets brainliest.
Answer:
1) vertical
2) adjacent
Step-by-step explanation:
so, vertical is when two different numbers are congruent and adjacent is numbers next to each other but are no congruent
During the first two weeks at his new job Damian earned a total of $500 he earned x dollars during the first week during the second week he earned 4 times as much as he did the first week. How much did Damian earn during the first week
Answer:
$100
Step-by-step explanation:
x + 4x = 500
5x = 500
x = 100
Brian built 3 wooden toys. Each toy had a mass of 5/7 kilograms. What was the total mass of the toys that he built
Answer:
2 1/7 kg
Step-by-step explanation:
Multiply 5/7 kg by 3, obtaining 15/7 kg, or 2 1/7 kg
0.75(4x + 2) = 5 - (x + 1.5)
X =
Answer:
The answer is x=1/2 or x=0.5
Answer:
x = 0.5
Step-by-step explanation:
0.75(4x + 2) = 5 - (x + 1.5)
3x + 1.5 = 5 - x - 1.5
3x + 1.5 = -x + 3.5
3x + x = 3.5 - 1.5
4x = 2
x = 0.5
find the value using identities (302)3
Answer:
108,000,934
1.08934×10^8
Step-by-step explanation:
(302)^3
(a+b)^3
(a+b)^3==a^3+3a^2b+3ab^2+b^3
(300+2)
(300)^3+3(300^2+2)+3(300+2^2)+2^3
27,000,000+81,000,002+8+924
108,000,002+8+924
108,000,934 or 1.08934×10^8
What is the value of x?
to
x = [?]°
The horizontal in a pair of coordinates how far along tje point is ,so i cant tell u the awnser exactly but i can give explanation
determine the value of x (ill give brainliest)
Answer:
I believe the answer is 7
Answer:
12
Step-by-step explanation:
9 * 12 - 2 = 61
7 * 12 + 12 = 61
The quantities
x
and
y
are proportional.
Answer:
The quantities x and y are in a proportional relationship.
Step-by-step explanation:
[tex][Hello,BrainlyUser][/tex]
Your question is incomplete but I will try my best to answer <3
Answer/Step-by-step explanation:
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x = r
[tex][CloudBreeze][/tex]