A one million sided shape called as Megagon.
We know that a polygon is noting but a closed two-dimensional figure which is enclosed by line segments.
These line segments are known as sides.
A polygon has at least three straight sides and angles.
Polygons are classified mainly into four categories. Regular polygon, Irregular polygon, Convex polygon and Concave polygon
We know that a polygon with n sides is called n-gon.
For n = 1000000, i.e., a polygon with one million sides is called as Megagon.
A number of edges and vertices = 1000000
And the internal angle of megagon is about 179.99 degrees.
Therefore, a shape with 1 million sides is known as a Megagon
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Find the volume of the composite figure below round your answer to the nearest whole number
Answer:
1017in^3
Step-by-step explanation:
What does log2 mean on a calculator?
The log base 2 calculator quickly computes the value of the logarithm function with base two, i.e., log₂(x) for arbitrary (positive) x
What do we mean by an expression?
An expression or mathematical expression is a finite combination of symbols that is well-formed according to context-dependent rules.
To help determine the order of operations and other aspects of logical syntax, mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.
To find which expression is equivalent to log₅32:
Law of logarithms:
The law of logarithms states that: log(a) b = log(10)b/log(10)a
Given the log function, which is written as log₅32
a = 5
b = 32
Substitute as: log₅32 = log32/log5
Therefore, the given expression log₅32 is equivalent to the expression log32/log5.
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(i) change 234mm into m
(ii) change 876m^2 into square cm
Answer: (i) 0.234m
(ii) 8760000cm^2
Step-by-step explanation:
234÷1000=0.2234m
876x10^4=8760000cm^
Homework Progress
28/37 Marks
a) Complete the prime factor trees for 16 and 40:
16
b)
2
2
∞
2
4
2
2
40
2
What is the lowest Common Multiple of 16 and 40?
2
1
5
The prime factor trees for 16 and 40 could be 2,2,2,2 and 2,2,2,5 respectively and and the common multiple of 16 and 40 could be 2 .
What is prime factor ?
prime factor can be defined as the number which is divisible by that number and the number should be prime.
The prime factor tree for 16 as follows
16 = 2*8 = 2* 2 * 4 = 2*2*2*2
16
2 8
2 4
2 2
The prime factor tree for 40 as follows
40 = 2*20 = 2*2*10 = 2*2*2*5
40
2 20
2 10
2 5
Hence, The prime factor trees for 16 and 40 could be 2,2,2,2 and 2,2,2,5 respectively and the common multiple of 16 and 40 could be 2 .
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a lines slope is 15 and its y-intercept is 2. what is its equation in slope intersept form
Answer:
y = 15x + 2
Step-by-step explanation:
Use the slope-intercept form:
y = mx + b becomes
y = 15x + 2
Answer:
y = 15x + 2
Step-by-step explanation:
An equation written in slope-intercept form will have the structure of:
y = mx + b
m is the slope. b is the y-intercept.
We know:
slope: 15
y-intercept: 2
Let's plug in what we know.
y = mx + b
y = 15x + 2
This is your equation.
Hope this helps!
Daria chooses a paint color from 5 shades of blue, 2 shades of yellow, and 2 shades of purple to paint her room. She can choose either carpet or wood flooring. If each choice is equally likely, how much greater is the probability of her choosing a shade of blue and carpet than the probability of choosing a shade of yellow and wood flooring?
The probability of choosing a shade of blue and carpet is 1/6 greater than that of choosing a shade of yellow and wood flooring.
The total number of possible paint colors Daria can choose is 5 shades of blue + 2 shades of yellow + 2 shades of purple = 9 shades
The total number of flooring options Daria can choose from is carpet or wood = 2 options
The probability of choosing a shade of blue is 5/9 and the probability of choosing carpet is 1/2. So, the probability of choosing a shade of blue and carpet is (5/9) * (1/2) = 5/18.
The probability of choosing a shade of yellow is 2/9 and the probability of choosing wood flooring is 1/2. So, the probability of choosing a shade of yellow and wood flooring is (2/9) * (1/2) = 2/18
The probability of choosing a shade of blue and carpet is 5/18, and the probability of choosing a shade of yellow and wood flooring is 2/18. So, the probability of choosing a shade of blue and carpet is (5/18) - (2/18) = 3/18 or 1/6 greater than the probability of choosing a shade of yellow and wood flooring.
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How would I be able to get the step by step prosses of this and the answer of y?
(-7) = (-4y) + 5
Answer:
y = 3
Step-by-step explanation:
-7 = -4y + 5
Subtract 5 from both sides to isolate variable y:
-7 - 5 = -4y + 5 - 5
-12 = -4y + 0
-12 = -4y
Divide both sides by -4 to isolate variable y:
-12 ÷ -4 = -4y ÷ -4
(Negative ÷ Negative = Positive)
3 = 1y
3 = y
Check your work:
-7 = -4(3) + 5
Use PEMDAS:
-7 = -12 + 5
-7 = -7
Correct!
2 points
Calculate the surface area of this kleenex box. Length = 22 cm, Width = 7
cm, Height = 10 cm
Answer:
210 cm2
Step-by-step explanation:
Simplify: [tex]\frac{10m}{5m}[/tex]
Answer:
2
When you cancel out the m (cause its the common factor) the only thing left is to simplify 10/5 which is 2.
Help, I don’t get the first part but understand the second
Answer:
fr ee points cuz there was nothing attached
Step-by-step explanation:
Step-by-step explanation:
Help, I don’t get the first part but understand the second
I am always there to help you
ask your question
hope it is helpful to you
Homework please help
Answer:
b. one solution
Step-by-step explanation:
hope this helps :)
Answer:
B. One solution
Step-by-step explanation:
Hope this helps!!
Which expression can be used to represent the
volume of this prism?
6 × 11 units³
78°F
Sunny
O 48 x 3 units³
O 14 x 3 units³
O 8x9 units³
H
а
1
i
8 units
1
1
2
3
3 units
6 units
4
5
Volume of prism is given by V= base area × height cubic unit. The expression 48 × 3 unit³ can be used to represent the volume of the prism.
What is prism?Prism is a three-dimensional geometrical figure having identical two ends. A prism has flat faces, similar bases and equal cross sections. A prism is normally bounded by plane faces.
What is volume of prism?
Volume of prism is calculated by the product of base area and height of the prism. At first, we need to calculate the base area and then height is multiplied with it.
Prisms are different types such as triangular prism, rectangular prism, pentagonal prism and hexagonal prism so depending on the figure area for the base is different. As a result, different shaped prism has different formula for volume calculation.
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May someone help me with this :)
Answer:
x=89
Step-by-step explanation:
Well all of a quadrilaterals interior angles add up to 360 degrees so you would add together 69+118+84 which equals 271, and then you'd subtract that from 360 which is 89. Hope this helps. :)
What is associative property in math?
Answer:
This law simply states that with addition and multiplication of numbers, you can change the grouping of the numbers in the problem and it will not affect the answer. Subtraction and division are NOT associative.
Step-by-step explanation:
PLZ HELP ASAP!!
I got the quadrant part I just need help with 0ther parts
Answer:
Step-by-step explanation:
The X intercept is 1 and the y-intercept is 1 aswell.
Answer:
x intercept: 1
y intercept: 1
Step-by-step explanation:
also, where u wrote quad: IIII, four in roman numerals in IV not IIII
A cabinet door is 19 inches tall and 5 inches wide.
What is its area?
Answer:
95
Step-by-step explanation:
19 x 5 = 95
Points if listen to kpop and watch anime:
My favorite are Captain levi and stray kids.
Step-by-step explanation:
i dont watch anime for shi and fav group Blackpink ;)
Answer: What is you’re favorite anime show?
Step-by-step explanation:
One pound of nuts costs $2.80. Aaron bought 2 pounds of nuts. He gave the clerk a $10.00 bill. How much change did he get?
There are 6 times as many females as males on the maths course at university. What fraction
of the course are female?
Give your answer in its simplest form.
Answer:
i hope it helps
thank you
Three softball players discussed their batting averages after a game.
Probability
Player 1 six tenths
Player 2 five ninths
Player 3 four sevenths
Compare the probabilities and interpret the likelihood. Which statement is true?
Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2)
Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1)
Player 3 is more likely to hit the ball than Player 1 because P(Player 3) > P(Player 1)
Player 2 is more likely to hit the ball than Player 3 because P(Player 2) > P(Player 3)
The likelihood event:
Player 1 is more likely to hit the ball than Player 2 because P (Player 1) > P (Player 2).
The correct option is A.
What is the LCM?Least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.
Given:
Three softball players discussed their batting averages after a game.
Probability:
Player 1 = six tenths = 6/10
Player 2 = five ninths = 5/9
Player 3 = four sevenths = 4/7
To find better batting averages:
LCM of 10, 9 and 7.
10 = 2 x 5. 9 = 3 x 3, 7 = 7
So, the LCM (10, 9, 7) = 630
Now we have the number of chances are equal for each of the three players.
So, the P(Player 1) = 6/10 = 378/630
P(Player 2)= 5/9 = 350/630
P(Player 3)= 4/7 = 360/630
The Player 1 has better batting average than Player 2 and Player 3.
Therefore, Player 1 is more likely to hit the ball than Player 2 because P (Player 1) > P (Player 2).
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You might need:
Order the following numbers from least to greatest.
3/4
✓0.52
0.73
0.52, 0.73, 3/4
3/4=0.75
A different computer is advertised as 30% off of the original price. After the discount, the tax is $78.75
• Determine the original price of this computer.
Show your work or explain your answer.
The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
How to calculate original price of computer?The original price of the computer is 112.5 .The amount saved is 33.75The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Here,
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Coupon = 30% off
Coupon = 30% off= 78.75
This means that the cost of the computer is only 70% since 30% is off.
70% = 78.75
We know that the original price is 100%.
So,
70% = 78.75
Multiply 100/70 on both sides.
100/70 x 70% = 100/70 x78.75
100% =112.5
The original price of the computer is 112.5
The amount saved is:
112.5-78.75=33.75
Thus,
The original price of the computer is 112.5
The amount saved is 33.75
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From the top of a lighthouse, the angles of depression to the top and bottom of a flagpole are 23° and 42°, respectively. If the flagpole is 75 feet from the lighthouse, how tall is the pole? [Round your answer to the nearest tenth of a foot. Type in the number only.]
Back with the braids.
Susan made 4 uniform annual deposits of $1800 in a savings account that earned an interest rate of 2% per year. Her last deposit was made 7 years ago. What is the future value of her savings 13 years from now, if she leaves the account untouched?
Answer:
"$ 2,880" is the right answer.
Step-by-step explanation:
The given values are:
Annual deposit,
PV = $1,800
Interest rate,
r = 2%
or,
= 0.02
As we know,
⇒ [tex]FV=PV\times (1+r)n[/tex]
On substituting the values, we get
⇒ [tex]=1,800\times (1 + 0.02) 4 + 7 + 13[/tex]
⇒ [tex]=1,800\times (1.02)24[/tex]
⇒ [tex]=1,800\times 1.6[/tex]
⇒ [tex]= 2,880[/tex] ($)
What is an example of substitution method?
Substitution method is a method used to solve equations. It involves replacing a variable with its given value, which helps to isolate it and solve for the unknown. For example, if we have the equation 2x+5=17, we can solve for x by substituting 17 for 2x+5 and then subtracting 5 from both sides to obtain x=12.
The substitution method is a technique used to solve systems of equations. An example of the substitution method would be solving the system of equations:
x + 2y = 5
3x + 6y = 15
First, solve the first equation for x:
x = 5 - 2y
Substitute the expression for x into the second equation:
3(5 - 2y) + 6y = 15
Simplify:
15 - 6y + 6y = 15
Solve for y:
15 = 15
Now substitute the value of y back into the expression for x:
x = 5 - 2(3)
Solve for x:
x = -1
Therefore, the solution to the system of equations is:
x = -1, y = 3
Substitute x in equation 1 into equation 2, solve, then substitute y back into equation 1.
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45 POINTS -Find the perpendicular line. Don’t explain
By analytical geometry, the line y = - 2 · x - 1 represents a line perpendicular to the line shown in the picture. (Correct choice: C)
How to find the equation of a line perpendicular to another line
According to analytical geometry, lines are described by polynomials of the form:
y = m · x + b
Where:
m - Slopeb - Interceptx - Independent variable.y - Dependent variable.And the equation of the perpendicular line pass through a point of original line and is related to the slope of the line by following relationship:
m · m' = - 1
Where:
m - Slope of original line.m' - Slope of perpendicular line.First, determine the slope and intercept of the original line:
(x, y) = (0, 1)
1 = m · 0 + b
b = 1
(x, y) = (2, 0)
0 = m · 2 + b
2 · m + b = 0
m = - b / 2
m = - 1 / 2
Second, calculate the slope of the perpendicular line:
m' = 1 / (- 1 / 2)
m' = - 2
Third, we conclude by discarding options that the equation of the perpendicular line is y = - 2 · x - 1.
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need help asap!! giving brainliest!!
Answer:
10!
Step-by-step explanation:
Basically you can see that one side of the "triangle" is 3, and the other is 9 (based on the distance, assuming that the line would be a hypotenuse). From here all you have to do is square 3 and square 9, add them, and find the square root
√(9+81) = 10
Determine if the triangles can be proved congruent by SSS, SAS, ASA, AAS, or HL.
SSS
The triangles can be proved congruent by SAS theorem.
Properties of congruent triangles.Two or more triangles are said to be congruent if and only if their corresponding length of sides and measure of internal angles are equal. Therefore, congruency is a property of equality of the triangles.
To prove that two or more triangles are congruent, then their corresponding sides are compared if they are equal. Also the measure of their corresponding internal angles are considered if they are equal.
Therefore. in the given question, to determine if the triangles can be proved congruent by the appropriate theorem;
It can be seen that the two sides of the triangles are equal. Also the measure of their included angles are equal. Therefore, the triangles can be proved to be congruent by SAS.
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PLEASE HELP IF YOU KNOW ALGEBRA AND SPANISH
I don't know Spanish but I'm reasonably sure I know what the questions are asking. Please correct me if I'm wrong.
a. f(2) = -2^2+4(2)-10 = -4+8-10 = -6.
b. g(6) = 5(6)+1 = 30+1 = 31.
c. f(-1) = -(-1)^2+4(-1)-10 = -1-4-10 = -15.
d. This is saying to solve g(x)=16:
5x+1=16Subtract 1 from each side: 5x=15Divide both sides by 5: x=3.The answer is x=3.
hello! pls help if you can, it will very much be appreciated T-T
Answer:
download algemator then you can find the answer