The approximate area of the decagon with a side of 8cm is 492.37 cm².
Given side of the regular decagon = 8cm
What is a regular decagon?A decagon is a polygon with 10 equal sides.
We know that area of a regular decagon with side a is given by:
[tex]A=\frac{5}{2} a^{2} \sqrt{5+2\sqrt{5} }[/tex]
So, the area A of the regular decagon with a side of 8cm=[tex]\frac{5}{2} 8^{2} \sqrt{5+2\sqrt{5} }[/tex]
[tex]A=160\sqrt{5+2\sqrt{5} }[/tex]
A=492.37 cm²
Therefore, the approximate area of the decagon is 492.37 cm².
To get more about the decagon visit:
https://brainly.com/question/19899848
Please help me with this math problem!! Will give brainliest!! NO LINKS PLEASE!! Thanks!! :)
Answer:
The sum of all the sides to this quadrilateral will equal a total of 20 inches, so you set up the equation:
2 + 2x + 7 + x + 2 = 20
Solve for x by combining like terms;
(2 + 7 + 2) + (2x + x) = 20
Which simplifies to;
11 + 3x = 20
Get rid of constants;
-11 -11
3x = 9
Isolate x by getting rid of it's coefficient;
/3 /3
x = 3
Now, to find the length of PQ, we plug in the value of x(3) into the equation that contains the line PQ.
x + 2
3 + 2
= 5 inches.
Now, to find the length of RS, we plug in the value of x(3) into the equation that contains the line RS.
2x
2(3)
= 6 inches.
Find the median and mean
40, 4, 12, 15, 45, 16
Answer:
15.5 is the median.
The mean of the data is 22
Step-by-step explanation:
First, the median of a data set is found by sorting the numbers in order, from least to greatest. Then you count inwards one at a time on both sides until you reach a center number.
4 , 12, 15, 16, 40, 45
12, 15, 16, 40
15, 16
15.5
This means, 15.5 is the median
Next, to find the mean, you add up all the numbers and divide it by however many numbers there are. In this case there are 6 numbers, so we divide the total by 6.
40 + 4 + 12 + 15 + 45 + 16 = 132
132 / 6 = 22
The mean of the data is 22
Answer:
Mean: 22
Median: 15.5
Step-by-step explanation:
hope this helps :)
SIMPLE ALGEBRAICE FRACTIONS
A computer shop displays a total of 50 type A and type B mice. The cost of a type A mouse is $6 and that of a type B mouse is $13. If the total cost of both types of mice is $433, find the number of type A mice displayed.
There are 31 type A mice and 19 type B mice in the computer shop costing about $433.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let a represent the type A and b represent the type B, hence:
a + b = 50 (1)
Also:
6a + 13b = 433 (2)
a = 31, b = 19
There are 31 type A mice and 19 type B mice in the computer shop costing about $433.
Find out more on equation at: https://brainly.com/question/1214333
What is the exact circumference of the circle?
•
10T ft
•
20T ft
•
40T ft
60r ft
Answer:
60r ft
Step-by-step explanation:
If it is wrong correct me if it is correct pls mark me as brainliest pls
Complete the equation so that it has solutions of –5 and 7. x2 x = 0
The equation it has solutions of –5 and 7 is x^2-2x-37=0
We have equation
solutions of equation are –5 and 7.
We have to find complete the equation.
We have given that solutions of the equation are -5, 7.
The standard form of a quadratic equation.
What is the factor of the quadratic equation?
[tex](x -\alpha) (x- \beta)[/tex]
Where we have
[tex]p = -(\alpha+\beta) and q = (\alpha\times \beta)[/tex]
So, roots are
[tex]( x- (-5)) (x-7)[/tex]
[tex]p = -( -5+7)[/tex] , [tex]q =(-5)(7).[/tex]
[tex]p = -2 and q = -35.[/tex]
On substituting p and q in equation
[tex]x^2+(-2)x-37=0[/tex]
[tex]x^2-2x-37=0[/tex]
Therefore,x^2-2x-37=0 is the equation of solution -5,7.
To learn more about the quadratic factor visit:
https://brainly.com/question/472337
Answer:
-2, -35
Step-by-step explanation:
A guidance counselor compiles data relating a student's english grade to the number of languages studied. the results are shown in the frequency table below. a 4-column table with 3 rows titled english grade versus number of languages studied. the first column has no label with entries english only, english and another language, total. the second column is labeled 90 or above with entries 15, 110, 125. the third column is labeled lower than 90 with entries 105, 270, 375. the fourth column is labeled total with entries 120, 380, 500. the counselor converts the frequency table to a conditional relative frequency table by column. a 4-column table with 3 rows titled english grade versus number of languages studied. the first column has no label with entries english only, english and another language, total. the second column is labeled 90 or above with entries 0.12, 0.88, 1.0. the third column is labeled lower than 90 with entries 0.28, 0.72, 1.0. the fourth column is labeled total with entries x, y, 1.0. what is the value of x? 0.16 0.20 0.24 0.40
The value of x is 0.24. Option C is correct. The frequency table is used to find the relative frequency.
What is a frequency table?A frequency table is a collection of things with the number of times they appear in the table. f is used to signify frequency.
The given data from the table is;
The subgroup count of the column = 120
The total count = 500
x is the relative frequency
The relative frequency is found as;
[tex]\rm x = \frac{ subgroup \ count }{ total \ count } \\\\ x=\frac{120}{500} \\\\\ x = 0.24[/tex]
Hence the value of x is 0.24. Option C is correct.
To learn more about the frequency table refer to the link;
https://brainly.com/question/12576014
Answer:
answer on edge is c
Step-by-step explanation:
What is the area of the figure?
Step-by-step explanation:
take the rectangle as whole with dimensions 16*8
area = 128 in^2
area of rectangle of dimensions 10*2 =20
required area = 108 in^2
how to turn 6/2 into proper fraction
Hey there!
6/2
= 6 ÷ 2 / 2 ÷ 1
= 3 / 1
= 3 ÷ 1
= 3
Therefore, your answer should be:
3
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
9 1/4 pt = __ c
I can't do anything with fractions in it
WHat is the angle of the rotation of the following figure?
Answer:
I pretty sure it's 45 degrees from the information that you gave me.
Step-by-step explanation: The total is a circle and you have 8 little triangles. You divide 360 (what a circle is) by 8 (number of triangles). The quotient will be 45 degrees. That's the answer 45 degrees.
8x + y = -16
-3x + y = -5
Answer:
Graph= (-1,-8)
y= -8
x=-1
Step-by-step explanation:
Evaluate (−3) ^−3
Show work for full marks. Enter your final answer in simplified fraction form.
I NEED HELPP
-1/27
Solution:If we have a number to a negative power, we flip the number over, like so:[tex]-3- > \displaystyle\frac{1}{(-3)^3}[/tex]Simplify:[tex]\displaystyle\frac{1}{-27} =-\frac{1}{27}[/tex]Hope it helps.
Do comment if you have any query.
Which of the following statements correctly describes the items shown below?
A. Both functions are increasing and have different rates of change.
B. Both functions are increasing and have the same rates of change.
C. Both functions are decreasing and have the same rates of change.
D. Both functions are decreasing and have different rates of change.
HELP! WILL GIVE BRAINLEST!
Answer:
option c
Step-by-step explanation:
pi/2 is the answer
What’s the distance between (-5,-3) and (-2,11)
Answer: 14.3178210633
Step-by-step explanation: d=√((x_2-x_1)²+(y_2-y_1)²)
help please
A ring-toss toy is composed of a rectangular prism on top of a cylinder. The rectangular prism is completely fill with water. The dimensions of the rectangular prism are shown in the diagram.
a) 90cm3
b) 208cm3
c) 29cm3
d) 480cm3
Answer:
The answer is d) 480cm³
Step-by-step explanation:
3 x 10 x 16 = 480cm³
An equation has solutions of m = –5 and m = 9. which could be the equation? (m 5)(m – 9) = 0 (m – 5)(m 9) = 0 m2 – 5m 9 = 0 m2 5m – 9 = 0
An equation is formed of two equal expressions. The equation that has solutions of m=–5 and m=9 is (m+5)(m-9)=0.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
As it is given that the solution of m is -5 and 9. Therefore, the equation which will represent the solution of m as -5 and 9 is
(m+5)(m-9)=0
Hence, the equation that has solutions of m=–5 and m=9 is (m+5)(m-9)=0.
Learn more about Equation:
https://brainly.com/question/2263981
I NEED THIS ASAP…. mathematician simplifies the expression mentally.
12(-72) +41(-3-32)
What is the best estimate of the value of the expression?
А
-2,100
B
-700
C 700
D D 2,100
Answer:
The answer is exactly -2,299. But since this is a mental math question it's okay if it's not the exact answer. The answer would be "A"
The length of a rectangle is 5 inches longer than the width. The perimeter of the rectangle is 40 inches. What is the width of the rectangle?
Explain or show work please
Step-by-step explanation:
Set the parameters,
Let the width be 'X' inhes
Therefore,
Length = "5X" inches
According to the given condition,
Perimeter = sum of the sides = 2(l+b) = 40 inches,
Equation = 2(5X+X) = 40
2(6X) = 40
12X= 40
X= 3.33
Therefore,
Width = X = 3.33 inches
MARK ME AS BRAINLISTPaul's skateboarding competition will start at 11:30 a. M. , but the competitors
must arrive at the skate park three-quarters of an hour early to warm up. The
competition must end by 1:30 p. M.
Paul says he has to be at the skate park at 9:30 a. M. Is Paul correct? Explain
your answer.
Answer:
No, Paul is not correct.
Step-by-step explanation:
The competition starts at 11:30am. 9:30am is 2 hours before.
1/4 of an hour is 15 minutes, 1/2 an hour is 30 minutes, 3/4 of an hour is 45 minutes
So, Paul needs to get there 45 minutes before the 11:30am start time.
Paul needs to get there at 10:45am
Luis starts to do a division problem and notices that there is a pattern in the digits to the right of the decimal point.
This number is _____.
A. Natural
B. Irrational
C. An integer
D. Rational
Answer:
D. Rational
Step-by-step explanation:
A rational number is any number that can be written as a decimal or a fraction.
Hope it helped!
PLSSS HELP IF YOU TURLY KNOW THISS
[tex]4 \frac{2}{3} - 4 \frac{1}{3} = \\ [/tex]
[tex] \frac{1}{3} \\ [/tex]
Thus the true answer is option A .
How many ways are there to write 10 to the power of 7? How many ways are there to write 10 to the power of 8? Please, I need help.
can you esplain me what angles and unit angles are?
Answer:
An angle is a space which is usually measured in degrees between two intersection lines. A unit angle is the angle which is subtend by a portion of circumstances equal in length to radius of a circle.
60=4(k+3) +2(k-3) I need to try to get the variable by itself
Answer:
k=9
Step-by-step explanation:
This is what i got, tell me if i got this right.
pls answer this question for me
Answer:
160 bottles of water
Step-by-step explanation:
Because c stands for how many cases of water she orders, you replace c in the equation b = 20c with 8. It would then be b = 20(8) which would be b = 160. Because b stands for the total number of bottles, that means the total number of bottles is 160.
A binomial experiment has 6 trials in which p = 0.85. What is the probability of getting at least 4 successes?
A) 0.9527
B) 0.9178
C)0.4554
Answer:
0.9527
Step-by-step explanation:
Once again, if Brainly would stop deleting my answer for no reason, your answer is 0.9527. OKAY! ...okay
The binomial probability for getting at least 4 successes is 0.955
What is binomial probability?The probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes is called binomial probability.
Binomial probability formula[tex]P_{x} = nC_{x} p^{x} q^{n-x}[/tex]
Where,
P is the binomial probability
x is the number of times for a specific outcomes within n trials
[tex]nC_{x}[/tex] is the number of combinations
p is the probability of success in a single trial
q is the probability of failure on a single trial
n is the number of trials
Let p denote the probability of getting success in a single trial and q denotes the probability of failure in a single trial.
And let x be a random variable denoting the number of success.
According to the given question.
We have
[tex]p = 0.85[/tex]
⇒[tex]q = 1- 0.85 = 0.15[/tex]
Also,
n = 6
Therefore,
The binomial probability of getting at least 4 success
[tex]=P(x\geq 4)[/tex]
[tex]=P(x=4)+P(x=5)+P(x=6)[/tex]
[tex]= 6C_{4} (0.85)^{4} (0.15)^{2} + 6C_{5} (0.85)^{5} (0.15)^{1}+ 6C_{6} (0.85)^{6} (0.15)^{0}[/tex]
[tex]=\frac{6!}{4!21} (0.522)(0.0225)+\frac{6!}{5!1!} (0.443)(0.15)+\frac{6!}{6!0!} (0.4)[/tex]
[tex]=15(0.011)+6(0.066)+1(0.4)[/tex]
[tex]=0.165+0.396+0.4\\=0.955[/tex]
Hence, the binomial probability for getting at least 4 successes is 0.955
Thus, option A is correct.
Find out more information about binomial probability here:
https://brainly.com/question/12474772
#SPJ3
Factor 1/10 out if 1/10x - 9/10. And yes, I do know that it is an odd question.
Answer:
x-9
Step-by-step explanation:
1/10×1 =1/10
1/10×9=9/10
so 1/10(1x-9) = 1/10x-9/10
The length of a rectangle is twice its width. The perimiter of the rectangle is 36 ft what are the length and the width of the rectangle?
Answer:
W = 6', L = 12'
Step-by-step explanation:
Let W be the width and L the length.
We are told that L = 2W
The perimeter is 2L + 2W = 36'
Use the first equation in the second: 2(2W) + 2W = 36'
4W + 2W = 36'
6W = 36'
W = 6'
and since L = 2W, L = 12'
Check: Does a width of 6' and length of 12' make a perimeter of 36'?
2*6' + 2*12' = 36' ?
12'+24' = 36'
YES
The length is 12' and the width is 6'. The lenght is twice the width, and the perimeter adds to 36'.
MATH
THIS
IS URGENT PLS
3a. Area = 2 (5×7 + 5×3 + 7×3)
3b. Area = 2 (6×6 + 6×5 + 6×5)
3c. Area = 2 (6.5×10 + 6.5×3 + 3×10)
4a. Area = 2(1/2 × 4 × 6) + 2(7×5) + 7×6
4b. Area = 2(1/2 × 6 × 6) + 2(10×8.5) + 10×6
4c. Area = 2(1/2 × 10.2 × 3.6) + 15×8.3 + 15×4.5 + 10.2×15