Find the apothem of a regular 12-gon (12-sided polygon) if each side is 4.2 cm, and has
an area of 197 sq. cm.
Answer:
7.8 cm
Step-by-step explanation:
The relevant formula is ...
A = 1/2aP . . . . where a is the apothem, and P is the perimeter.
For a regular 12-gon the perimeter is 12 times the side length, so we have ...
P = 12s = 12(4.2 cm) = 50.4 cm
Then the apothem is found from ...
197 cm² = (1/2)a·(50.4 cm)
a = 197/25.2 cm ≈ 7.81 cm
The apothem is about 7.8 cm.
__
Additional comment
A regular 12-gon with a side length of 4.2 cm will have an area of about 197.500 cm². The apothem will be about 7.837 cm. The area of a regular n-gon can be calculated from the side length as ...
A = ns²/(4·tan(180°/n))
Similarly, the apothem will be ...
a = s/(2·tan(180°/n))
What’s the correct answer for this question?
Answer:
Step-by-step explanation:
y=-5/2x-8
In the figure below, KL=9 and JK=4. Find JL.
Answer:
JL → 13
Explanation:
JL → JK + KL
JL → 4 + 9
JL → 13
JL be x
JK+KL=JLx=9+4x=13JL=13
What is the measure of angle 1?
Answer:
50°
Step-by-step explanation:
Place the midpoint of the protractor on the VERTEX of the angle.
Line up one side of the angle with the zero line of the protractor (where you see the number 0).
Read the degrees where the other side crosses the number scale.
Brainliest if correct
Answer:
v = 176
Step-by-step explanation:
Since a fraction is essentially the same thing as dividing one number by another, we can multiply 44 by 4, the denominator of the fraction we are finding the numerator for, and get 176. This fraction is already in negative form, so we don't need to do anything else.
plssss help!!!!! #2 #3 #4
Answer:
See belowStep-by-step explanation:
#4Area of triangle:
A = 1/2bhA = 1/2*20*48 = 480 ft²#5Area of rectangle:
A = abA = 6.25*4.5 = 28.125 ft²#6The recipe calls for 1/3 cup of milk.
Half of the recipe requires:
1/2*1/3 = 1/6 cup of milkLia can rent a van for either $90 per day with unlimited mileage or $50 per day with 250 free miles and 25 cents for each mile over 250. for what number of miles traveled in one day would the unlimited mileage plan save Lia money?
Answer:
The unlimited mileage plan would save money for Lia from 410 miles onwards.
Step-by-step explanation:
Since Lia can rent a van for either $ 90 per day with unlimited mileage or $ 50 per day with 250 free miles and an extra 25 ¢ for each mile over 250, to determine for what number of miles traveled in one day would the unlimited mileage plan save Lia money, the following calculation must be performed:
90.25 - 50 = 40.25
40.25 / 0.25 = 161
161 + 250 = 411
Therefore, the unlimited mileage plan would save money for Lia from 410 miles onwards.
A line passes through the point (3,6) and has a slope of 7. Write an equation in point-slope form for this line.
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{6})\qquad \qquad \stackrel{slope}{m}\implies 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{7}(x-\stackrel{x_1}{3})[/tex]
Answer:
[tex]y=7x-15[/tex]
Step-by-step explanation:
Given the following question:
Point A = (3, 6) = (x1, y1)
m (slope) = 7
We will find the equation of this line by finding the slope intercept.
[tex]y=mx+b[/tex]
[tex]y=6[/tex]
[tex]m=7[/tex]
[tex]x=3[/tex]
[tex]6=7(3)+b[/tex]
[tex]7\times3=21[/tex]
[tex]21-21=0[/tex]
[tex]6-21=-15[/tex]
[tex]b=-15[/tex]
[tex]y=7x-15[/tex]
Hope this helps.
What is the best estimate of the figure below?
Answer:
28.5 in²Step-by-step explanation:
It is assumed you need to find the area of the figure.
The figure comprises of a rectangle with sides of 6 in x 4 in and semicircle with the diameter of 6 in.
The area of the figure:
A = 6*4 + 1/2*3*(6/2)² = 24 + 4.5 = 28.5 in² (put π = 3 just for estimating the area)Of the 44 players attributed to a playwright 11 are comedies 17 are tragedies and 16 are histories if one play is selected at random find the odds against selecting a tragedy
Step-by-step explanation:
since the total number of players is 44, the Universal set will also be 44.
let C be the set for Comedy
let T be the set for Tragedy
let H be the set for Histories
ξ = { 44 }
C = { 11 }
T = { 17 }
H = { 16 }
probability T = (17/44)
odds of selecting T = probability not T
= 1 - probability T
= 1 - ( 17/44)
= 27/44
you need to give the answer as a ratio of odds of selecting T against chances of selecting T;
if out of 44 players, the chances of not selecting T is 27 and the chances of selecting T is 17, then:
odds against selecting random is, 27: 17
that's the answer. hope this helps you!
-s.
Brainliest if correct
Answer:
x=29
Step-by-step explanation:
We know y is 16. We can write 16 instead of y in the equation.
y=x-13
16=x-13
Now we can add 13 to both sides of the equation.
16+13=x-13+13
29=x
x is equal to 29.
Answer:
x = 29
Step-by-step explanation:
since y = 16
16 = x -13
Add 13 to both sides of the equation
16 + 13=x-13+13
Simplify
x = 29
[RevyBreeze]
A force of 128 lb is required to hold a spring stretched 2 ft beyond its natural length. How much work W is done in stretching it from its natural length to 9 inches beyond its natural length
We have that the workdone in stretching natural length to is mathematically given as
W=9/2lbft
Workdone in stretching natural lengthQuestion Parameters:
A force of 128 lb is required to hold a spring stretched 2 ft beyond its natural length.Stretching it from its natural length to 9 inches beyond its natural lengthGenerally the Hookes equation for the Force is mathematically given as
F=Kx
Where
3.2lb=2ft*k
Thereofore
k=16
Force becomes
f=kx
f=16x
Hence
[tex]W=8[x^2]^{3/4}_{0}[/tex]
W=9/2lbft
For more information on Length visit
https://brainly.com/question/2096451
Look at the picture I need your help
x = ~29 ft
h = ~34 ft
(explanation in image)
0.0008 in standard form
Answer:
8.0*10^-4 in standard form or scientific notation.
Two vehicles, a car and a truck, leave an intersection at the same time. The car heads east at an average speed of 30 miles per hour, while the truck heads south at an average speed of 40 miles per hour. Find an expression for their distance apart d (in miles) at the end of t hours.
Step-by-step explanation:
the car distance to the intersection will be
30t (30 miles for every hour).
the truck distance to the intersection will be
40t (40 miles for every hour).
the distance between the car and the truck will always be the Hypotenuse of a right-angled triangle with the legs being the actual distances from the starting intersection.
so, we use Pythagoras :
d² = (30t)² + (40t)² = 900t² + 1600t² = 2500t²
d = sqrt(2500t²) = 50t
so, their distance will increase 50 miles every hour.
Hunter is filling his swimming pool with water. Write a description of what is happening in the graph below.
Answer:The more gallons, the more time Hunter spent to fill it.
Step-by-step explanation:
Both increase as they grow.
Find the perimeter of the figure.
O 129 in.
O 1975 in.
O 179 in
O 89.5 in.
Answer: C
Step-by-step explanation:
Assuming this is a rectangle, P=2l+2w.
Substituting in the dimensions,
P=2(39.5+50)=179
If f(x) = 6x - 9 and g(x) = x + 6,
which statement is true?
Click on the correct answer.
6 is not in the domain of fog.
6 is in the domain of fºg.
The values shown represent the y-values that correspond to x-values from x = 1 through x = 5.
What is the rate of change for the associated linear function?
A 2
B 5
C 9
D 10
It cost faith $9.10 to send 91 text messages. How many text messages did she send if she spent 17.60?
How do find the median and range..?
give examples!
Answer:
Count how many numbers you have. If you have an odd number, divide by 2 and round up to get the position of the median number. If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
The range is calculated by subtracting the lowest value from the highest value.
Step-by-step explanation:
hope this helped!
Answer:
It is the number in the middle of a set of numbers arranged in ascending order, it will be easier to find median if the set of given numbers are even if its an odd number, then divide the number by 2.
To find the range subtract the lowest value from the highest value
Step-by-step explanation:
Find the volume and surface area of this triangular prism. 12 cm 13 cm 18 cm and 5 cm
Answer:
V=180
Step-by-step explanation:
volume of the triangle =b×h
B means that the base of the prism.
to find the base use heron's formula.
and multiple with hight.
s=A+B+C/2
s=5+12+13/2=15
A=root over 15 (15-5)(15-12)(15-13) = 30
V=b×h
V=30×6
V=180
Find the volume of the irregular figure 1cm 2cm 8cm 1cm 3x 3pm 5cm
Select each value of a for which you can solve the system by elimination without multiplying first.
2x+5y=16
ax+3y=6
Answer: dddss Ggg. Nj
Step-by-step explanation:
A spinner contains four sections red, blue, green, and yellow. Joaquin spins the spinner twice. The set of outcomes is
given as S = (RB, RG, RY, RR, BR, BG, BY, BB, GR, GB, GY, GG, YR, YB, YG, YY). If the random variable is "yellow
(Y)," which of the
following is the correct probability distribution?
Answer:
its A
Step-by-step explanation:
The solution is, the correct probability distribution is 1/16.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
Given that,
spinner contains four sections: red, blue, green, and yellow. Joaquin spins the spinner twice. The set of outcomes is given as
S = {RB, RG, RY, RR, BR, BG, BY, BB, GR, GB, GY, GG, YR, YB, YG, YY}.
If the random variable is “yellow (Y),” let us first find the values that Y can take.
From the sample space given above, we find that Y can take only 3 values 0,1,2
In the sample space of 16 entries, Y occurs 0 times in 9 times
1 time in 6 times and 2 times 1 time
Hence probability = no of favouable outcomes/number in sample space
So
P(Y=0) = 9/16
P(Y=1) = 6/16 = 3/8
P(Y=2) = 1/16
Hence, The solution is, the correct probability distribution is 1/16.
To learn more on probability click:
brainly.com/question/11234923
#SPJ5
Rotate Polygon HJKL 180° about
the origin, reflect it across the
y-axis, and then reflect it across
the x-axis. Write the coordinates
of the vertices of the image
Polygon H'U'K'L'. How do the
vertices of Polygon H'U'K'L'
compare to the corresponding
vertices of Polygon HJKL?
Please help, I will
mark as brainliest ;)
........................................................................................................................................................................................................................................................................................................
Answer:
what in the world is this?
What is the factorization of the trinomial below?
3x2 - 21x + 30
O A. 3(x-6)(x - 5)
O B. 3(x-2)(x - 5)
O C. 3x(x-2)(x-5)
O D. 3x(x-6)(x - 5)
B if not C, with the exponent of the coefficient
The factorization of the trinomial is A = 3 ( x - 2 ) ( x - 5 )
What is Factorizing?Brackets should be expanded in the following ways to factorize an expression
For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket
For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.
Given data ,
Let the expression be represented as A
Now , the value of A is
A = 3x² - 21x + 30 be equation (1)
On simplifying , we get
Taking 3 as the common factor of the expression , we get
A = 3 ( x² - 7x + 10 )
A = 3 ( x² - 2x - 5x + 10 )
On factorizing , we get
A = 3 ( x - 2 ) ( x - 5 )
Hence , the expression is A = 3 ( x - 2 ) ( x - 5 )
To learn more about factorizing click :
https://brainly.com/question/804076
#SPJ7
Five sand pails aligned side by side contain a total of 100 seashells. Each bucket contains two seashells fewer than the bucket to its left. How many seashells are in each bucket?
a.
24, 22, 20, 18, 16
c.
20, 18, 16, 14, 12
b.
30, 28, 26, 24, 22
d.
26, 24, 22, 20, 18
Answer:
A
Step-by-step explanation:
Because it said 100 sea shells and 2 fewer and each bucket.
Bucket B contains 130 which is way more.
Bucket c contains only 80
Bucket D contains 110 so it has to be A.
Have a great day! :)
Subtract 10x^2– 10x + 2 from - 8x^2 + 7x–7
here is your answer...
2x^2-3x-5