A Polygon is shape with straight sides and must be closed. Polygon sides never touch and are classified according to the number of its sides. So:
A Triangle is any polygon with exactly 3 sidesA Quadrilateral is any polygon with exactly 4 sides. A Pentagon is any polygon with exactly 5 sides. An Hexagon is any polygon with exactly 6 sides. A Heptagon is any polygon with exactly 7 sides. An Octagon is any polygon with exactly 8 sides. A Nonagon is any polygon with exactly 9 sides. Decagon is any polygon with exactly 10 sides.1. WITH THE COORDINATE PLANE:If you have the coordinate plane, there are several ways to calculate the perimeter and area. If the polygon meaning that every side must have the same length and every angle must have the same measure, you just need the coordinates of two points and by using the distance formula you can calculate the length of that side. Then you must multiply the number of sides by that distance and this is the perimeter, but if the polygon is irregular you must calculate the length of each side of the polygon using the distance formula and then make the sum. To compute the area, you must divide the entire polygon in triangles, rectangles, parallelograms, etc, and then calculating the area of each figure using the formulas known for each type of figure.
2. WITHOUT THE COORDINATE PLANE:If you don't have the coordinate plane, you need to have the length of each side to calculate the perimeter or each side should be calculated by using trigonometry and other mathematical skills. If the polygon is regular or is a known figure (trapezoid, parallelogram, triangle) you can use the formulas you know to compute the area of that figure. On the other hand, if the polygon is irregular you should divide the polygon in other simple figures and calculate each area and then making the sum.
_______________________
In conclusion, for both ways you need to have the length of each side to find the perimeter and can use well known formulas to find the area of the figure.
HELP PLEASE 23 POINTS ASAP Hanna arranged financing for her bachelor’s degree. She borrowed $5,000 as a student loan backed by the federal government, and she also received a grant of $3,000 for books and supplies. Hanna is also in the top 3% of her high school class and was awarded a $15,000 scholarship for her academic achievements. Lastly, Hanna took out a private loan for $6,000.
Not counting any interest Hanna may have to pay, how much of her financing is she required to pay back?
Scholarships and grants do not need to be paid back.
Government loans and private loans do need to be paid back.
She has 2 loans. $5,000 and $6,000.
She needs to pay back $11,000
Each of the four lines shown here has equation y = mx + b. For which line is it true that
m > 0 and b < 0?
Step-by-step explanation: usatestprep approved
The graph of the linear equation with m > 0 and b < 0 is in the image at the end.
For which line is it true that m > 0 and b < 0?
A general linear equation is written as:
y = mx + b
Where m is the slope and b is the y-intercept.
When m > 0, we will see a line that goes upwards.When b < 0, we will see that the line intercepts the vertical axis below the horizontal axis.With this we can see that the correct option from the given ones is the second graph. You can see the image below.
HELPPPPP!! The formula gives the volume V of a right cylinder with radius r and height h.
V=πr²h Solve for r.
Explain your answer. Should either answer be discarded? Why or why not?
Answer:
see explanation
Step-by-step explanation:
Isolate r² by dividing both sides by πh
r² = [tex]\frac{V}{h\pi }[/tex]
Take the square root of both sides
r = ± [tex]\sqrt{\frac{V}{h\pi } }[/tex]
The negative part can be discarded as r > 0, hence
r = [tex]\sqrt{\frac{V}{h\pi } }[/tex]
1. Preliminaries We (the RAF in World War II) want to know the number of warplanes fielded by the Germans. That number is N. The warplanes have serial numbers from 1 to N, so N is also equal to the largest serial number on any of the warplanes. We only see a small number of serial numbers (assumed to be a random sample with replacement from among all the serial numbers), so we have to use estimation. Question 1.1 Is N a population parameter or a statistic? If we use our random sample to compute a number that is an estimate of N, is that a population parameter or a statistic? Write your answer here, replacing this text. Check your answer with a neighbor or a TA. To make the situation realistic, we're going to hide the true number of warplanes from you. You'll have access only to this random sample:
Answer:
N is a population parameter; the estimate of N is a statistic.
Step-by-step explanation:
A measure of a population is called a parameter. The population is the entire set we are measuring. In this problem, N is the total number of warplanes fielded by the Germans. Since it is the total, it is a population, making it a parameter.
A measure of a sample is a statistic. This means an estimate of N based on a sample would be a statistic.
In the context of the RAF's scenario, N is a population parameter representing the number of German warplanes in World War II. However, using the observed serial numbers to estimate N would produce a statistic, which may not be accurate as it corresponds to a sample rather than the total population.
Explanation:In the given scenario, N is a population parameter. It represents the total number of warplanes built by Germany. A parameter represents a factual characteristic about a population. Estimating N from the observed serial numbers on the warplanes is a statistic. A statistic is derived from a sample, and it is used to estimate a population parameter when we don't have access to the full population.
For instance, suppose the RAF captures some German warplanes, and the highest observed serial number is 5000. They might then estimate that the Germans produced around 5000 planes (which would be a statistic). But this estimate could be incorrect since they're basing it on a sample rather than the total population of German warplanes (i.e., all the planes built by Germany).
This method for estimating N is similar to a technique called mark and recapture in biology, where scientists mark a number of individuals in a population, release them back into their natural environment, and later recapture a number of individuals. Using the ratio of marked to unmarked individuals in the recaptured sample, scientists can estimate the total population size.
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In a school,3/5 of the pupils were boys and there were 240 girls. How many boys were in the school.
Answer:
If 2/5 is 240 then 1/5 is 120..multiply 120 by 5 which is 600 so...
600=total
Then..multiply 120 by 3 which will give the 3/5 boys which is 360 so...
360 boys
Step-by-step explanation:
rational exponents: quotient rule
u^2/5 / u^1/2
[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{u^{\frac{2}{5}}}{r^{\frac{1}{2}}}\implies \cfrac{1}{u^{\frac{1}{2}}\cdot u^{-\frac{2}{5}}}\implies \cfrac{1}{u^{\frac{1}{2}-\frac{2}{5}}}\implies \cfrac{1}{u^{\frac{5-4}{10}}}\implies \cfrac{1}{u^{\frac{1}{10}}}\implies u^{-\frac{1}{10}}[/tex]
Choose the function whose graph is given by:
Answer:
y = tan(x -π) -1
Step-by-step explanation:
It looks like a straight tangent function shifted down one unit. Since the tangent function has a period of π, ...
tan(x -π) = tan(x)
so you're only looking for the function that has a translation downward of 1 unit. Of course that translation is accomplished by adding -1 to the original function.
The appearance of the graph is of ...
y = tan(x) -1
The choice that is equivalent to this is ...
y = tan(x -π) -1
Answer:
y = tan (x-pi)-1
Step-by-step explanation:
The function in the graph is a periodic function with intervals of pi and having discontinuities at regular intervals.
Hence this must be a transformation of the original trignometric funciton
tan x. y intercept is at -1 which shows that there is a vertical shift of 1 unit down.
Hence the funciton is y = tanx-1
But tan x is not given in any of the options.
Let us check which is equivalent to tan x-1
We find that tan(x-pi) = -tan (pi-x) = -(-tanx) = tanx
Hence the option 3 is the right answer
How do I simply this 6(4m + 5)
(6•4m) + (6•5)= 24m + 30
The correct answer is 30
Here’s how you solve it!
First multiply what’s in the parentheses
6✖️4m➕6✖️5
Now calculate the produce
24m➕6✖️5
Now multiply 6 and 5 then add the number to 24m
Then you are left with your answer:
24m➕30
Hope this helps! :3
Simplify radical 20.
I know the answer but just quizzing.
The first correct answer will be marked brainliest!
Answer:
2√5
Step-by-step explanation:
Use a factor tree to break down 20 into it's prime roots.
20 = 2 x 10
20 = 2 x 2 x 5
These are the prime factors of 20, so we can rewrite √20 as
(√2)(√2)(√5)
(√2)(√2) = √(2x2) = √4 = 2, so we have
2√5
A 6 ounce package of fruit snacks contains 45 pieces how many pieceswould would you expect in a10 ounce package
Answer:
75 pieces
Step-by-step explanation:
1. determine how many pieces per ounce by dividing 45 by 6 (# of pieces in a 6 oz bag)
45/6= 7.5 pieces per ounce
2. multiply 7.5 (for one ounce) by 10
7.5*10 = 75
Answer:
75
Step-by-step explanation:
just answer it
Identify the type of transformation in the following graphic and describe the change.
Answer: transformation 5 units right
Step-by-step explanation: the preimage mapped to the image is moved 5 units to the right.
the algebraic expression is (x,y)-->(x+5,y)
Answer: M.A.T.H was translated (-5, 0) units; or five units to the left
Step-by-step explanation:
Point A is moved to the left to become A'.
Similarly, Points M, H, and T have moved to the left to become M', H', and T', respectively.
This type of transformation, in which all the points in a figure move in the same direction and by the same amount, is called a translation (moving sideways).
Each point has moved five units to the left.
1 Geometry question!
First find the value of the two vertical angles which have x in them.
Vertical angles are the same so you have:
4x = x +36
subtract 1x from each side:
3x = 36
Divide both sides by 3:
x = 36/3
x = 12
Now replace x with 12 to solve for the angles:
4x = 4(12) = 48 degrees.
All 4 angles need to equal 360 degrees, so now subtract 48 +48 from 360:
360 - 96 = 264
Y and the angle above it are vertical angles, so you can divide 264 by 2 to find y:
Y = 264 /2
Y = 132 degrees.
Write the slope-intercept form of the equation that passes through the point (2, 3) and is parallel to the line y = 5/8x - 7
Answer: [tex]y=\frac{5}{8}x+\frac{7}{4}}[/tex]
Step-by-step explanation:
The slope-intercept form of a equation of the line is:
[tex]y=mx+b[/tex]
Where m is the slope and b the y-intercept-
If the lines are parallel then they have the same slope:
[tex]m=\frac{5}{8}[/tex]
You can find the value of b by substituting the point given and the slope into the equation and solving for b:
[tex]3=\frac{5}{8}*2+b\\b=\frac{7}{4}[[/tex]
Then the equation is:
[tex]y=\frac{5}{8}x+\frac{7}{4}}[/tex]
Answer:
[tex]y = \frac{5}{8} x+\frac{7}{4}[/tex]
Step-by-step explanation:
We are to write the slope intercept form of the equation which passes through the point (2, 3) and is parallel to the line [tex]y = \frac{5}{8} x-7[/tex].
We know that the standard (slope-intercept) form of an equation of a line is given by: [tex]y=mx+c[/tex]
where [tex]m[/tex] is the slope and [tex]c[/tex] is the y-intercept.
Since we are to find the equation of the line parallel to the given equation so its slope will be same as of [tex]y = \frac{5}{8} x-7[/tex].
Finding the y-intercept:
[tex]y=mx+c[/tex]
[tex]3=\frac{5}{8}(2)+c[/tex]
[tex]c=\frac{7}{4}[/tex]
Therefore, the equation will be [tex]y = \frac{5}{8} x+\frac{7}{4}[/tex].
Is (–2n)^4 = –8n^4? Choose the best explanation for why or why not.
A. Yes; –2 times 4 makes –8, and the n becomes n^4.
B. Yes; for n = 1, (-2n)^4 = -8 x 1 not equal to -8n^4
C. No; for values other than 0, (–2n)^4 = 16n^4 not equal to –8n^4.
D. No; the negative in front of the 2 means –2n^4 needs to become 1/2n^4
Answer:
The answer would be C
Final answer:
No, (-2n)⁴ is not equal to -8n⁴ because when -2 is raised to the fourth power, it results in a positive 16, making the correct evaluation of the expression 16n⁴. The correct answer is option (C).
Explanation:
The question is whether (-2n)⁴ is equal to -8n⁴. To evaluate the expression (-2n)⁴, you must raise both -2 and n to the fourth power. Since the exponent is even, the negative sign in front of 2 will become positive after being raised to the fourth power: (-2n)⁴ = (-2)⁴ × n⁴ = 16n⁴
So, the correct statement is No; for values other than 0, (–2n)⁴ = 16n⁴ not equal to –8n⁴. When raising a negative number to an even power, the result is positive, and (-2)⁴ equates to 16, not -8. Therefore, the option C is correct.
As a result, the misconception that -2 times 4 makes -8 is incorrect when dealing with exponents, as the negative sign is squared, turning it positive.
Help, please with this question!! I don't understand!!
Answer:
this is basic math area and primeemator
so take the triangles and put them together then add it up so it would look like this 9+9+11.75+11.75 = 41.5 them times 41.5 times the price per foot like this
41.5 X 4.25 = 176.38 thats how mush he would have to pay
Answer: $449.44
Step-by-step explanation: please see images below!
Just need help finding X and Y
Answer:
x = 8 and y= 12Step-by-step explanation:
For x use the Pythagorean theorem:
[tex]x^2+6^2=10^2[/tex]
[tex]x^2+36=100[/tex] subtract 36 from both sides
[tex]x^2=64\to x=\sqrt{64}\\\\x=8[/tex]
We know: x + y = 20. Substitute:
[tex]8+y=20[/tex] subtract 8 from both sides
[tex]y=12[/tex]
Use the grouping method to factor the polynomial below completely. X^3+2x^2+5x+10
(X^3+2x^2) +(5x+10)
X^2(x+2) +5(x+2)
(X^2+5)(x+2)
Answer:
[tex](x+2)\text{ and }(x^2+5)[/tex] are the factors of given polynomial,
Step-by-step explanation:
We are given the following information in the question:
We are given a polynomial:
[tex]x^3 + 2x^2 + 5x + 10[/tex]
We have to factor this polynomial with the help of grouping method.
Grouping can be dine with the help of taking the common factors.
Working:
[tex]\text{Taking } x^2 \text{ common from the first two terms and 5 from the other two terms, we have}\\\Rightarrow x^2(x + 2) +5(x + 2)\\\text{Aain taking the common term}\\\Rightarrow (x+2)(x^2+5)[/tex]
Hence, the two factors of the given polynomial are:
[tex](x+2)\text{ and }(x^2+5)[/tex]
The price of a book increased from $20 to $25. What is the markup rate?
20%
25%
3%
5%
Answer: The price of a book increased from $20 to $25. What is the markup rate?
Jim wants to collect at least 25 coins for his coin collection. He has already collected 5 coins. The inequality shown can be used to find n, the number of coins Jim still needs to collect. N + 5 ? 25 Which inequality represents the solution set for this situation? A) n ? 20 B) n ? 20 Eliminate C) n ? 30 D) n ? 30
Answer:
The answer is A for sure
Step-by-step explanation:
And this is why
n ≥ 20
n + 5 ≥ 25
n + 5 − 5 ≥ 25 − 5
n ≥ 20
Inequality shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
The inequality that represents the solutions set is
n ≥ 20.
Option A is the correct answer.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Jim wants to collect at least 25 coins for his coin collection. He has already collected 5 coins.
The inequality shows the above situation.
n + 5 ≥ 25
Subtract 5 on both sides.
n ≥ 25 - 5
n ≥ 20
Thus,
The inequality that represents the solutions set is
n ≥ 20.
Option A is the correct answer.
Learn more about inequalities here:
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Marvin says that all rhombuses are squares are Athena says that all squares are rhombuses who is correct explain
Answer:
Athena
Step-by-step explanation:
Squares are rhombuses but rhombuses are not squares
If you buy 8 kilograms of apples and 2.5 kilograms of pears how many more grams of apples are there
Answer:
[tex]5,500\ g[/tex]
Step-by-step explanation:
we know that
[tex]1\ kg=1,000\ g[/tex]
step 1
Find the difference between the kilograms of apples and the kilograms of pears
[tex]8-2.5=5.5\ kg[/tex]
step 2
Convert to grams
[tex]5.5\ kg=5.5*1,000=5,500\ g[/tex]
If 1 adult female is randomly selected, find the probability that her pulse rate is between 72 beats per minute and 80 beats per minute.
To calculate the probability of an adult female's pulse rate being between 72 and 80 bpm, additional information like mean and standard deviation is necessary if using a normal distribution or population data for a simple probability.
Explanation:To find the probability that an adult female's pulse rate is between 72 beats per minute and 80 beats per minute, we need additional information such as the mean and standard deviation if the pulse rates follow a normal distribution, or the percentage of females with pulse rates in that range if the data is available in simple probability form.
Without this information, it's not possible to provide an exact answer. However, we can reference typical heart rate data or use estimation techniques to provide a rough idea of the probability. Health organizations often provide guidelines on normal heart rates for adults that could be used as a proxy in the absence of specific data points.
3. A power line extends from a light pole 43 meters to the ground and makes an angle of 60 degrees with the ground. To the nearest tenth of a meter, how tall is the light pole? (2 points)
Answer:
[tex]37.2\ m[/tex]
Step-by-step explanation:
Let
h-----> the height of the light pole
we know that
In the right triangle of the figure
[tex]sin(60\°)=\frac{h}{43}[/tex]
[tex]h=sin(60\°)(43)=37.2\ m[/tex]
An experiment consists of rolling a die, flipping a coin, and spinning a spinner divided into 4 equal regions. The number of elements in the sample space of this experiment is
12
3
6
48
Answer:
48
Step-by-step explanation:
The sample space of the experiment contains all the possible outcomes of all events.
There are 3 events that are taking place.
Rolling a die which has 6 possible outcomes.
Flipping a coin which has 2 possible outcomes.
Spinning a spinner which has 4 possible outcomes.
Since the outcome of each event is independent of the other, the total possible outcomes will be equal to the product of outcomes of each event.
i.e.
Total outcomes = 6 x 2 x 4 = 48
The sample space of the experiment contains all the possible outcomes. so the number of elements in the sample space of this experiment will be 48
Answer:
48
Step-by-step explanation:
In the given experiment, three events take place which include rolling a die, flipping a coin and spinning a spinner.
The possible outcomes of each of these events are as follows:
Rolling a die - 6
Flipping a coin - 2
Spinning a spinner - 4
Therefore, by multiplying their possible outcomes, we can find the number of elements in the sample space of this environment.
Number of elements = 6 × 2 × 4 = 48
What is the volume of a cylinder with a height of 5cm and diameter of 9cm?
(Use 3.14 for π.)
317.9 cm3
343.8 cm3
1271.4 cm3
2543.4 cm3
The equation is V = PI x r^2 x h
r = 1/2 the diameter = 4.5
Volume = 3.14 x 4.5^2 x 5
Volume = 317.9 cm^3
Find sin and tan (Picture provided)
Answer:
The correct option is
Option d. Sin θ = -√65/9 and Tan θ = -√65/4
Step-by-step explanation:
Points to remeber
Sin θ = Opposit side/ Hypotenuse
Cos θ = Adjacent side/Hypotenuse
Tan θ= Opposite side /Adjacent side
To find opposite side
It is given that,
Cos θ = -4/9 = Adjacent side/Hypotenuse
We can find opposite side of angle θ
opposit side ² = Hypotenuse² - adjacent side² = 9² - 4²
= 81 - 16 = 65
Opposite side = √65
To find sinθ and tanθ
Sin θ = Opposit side/ Hypotenuse = -√65/9
Tan θ = Opposite side /Adjacent side = -√65/4
Therefore the correct option is
Option d. Sin θ = -√65/9 and Tan θ = -√65/4
Which dilation shows an enlargement?
SEE attached IMAGE!
The last one does
in the first for the image (the letters with ') are on the smaller shape where as on the last one it is on the bigger shape meaning it is the enlargement of TYO
Answer:
the last one
Step-by-step explanation:
I did this assignment.
What is the value of y? 3y^2 − 6 = 42
Hey there!
Let's start by adding 6 to both sides of the equation to eliminate the -6.
3y^2 = 48
Next, let's divide both sides by 3 to eliminate the 3.
y^2 = 16
Find the square root of both sides.
y = ±4
It can be both positive or negative 4 because -4 x -4 and 4 x 4 both equal 16.
The value of y is ±4.
Hope this helps!
Which of these points does not change its location when it is reflected across the y-axis? A (2, 0) b (0, 6) c (3, 3) d (5, 5)
Answer:
B. (0,6)
Step-by-step explanation:
To solve this question, you'll need to figure out what the final point is after reflecting each point. A quick way to figure this out is by multiplying (-1) to the x-coordinate.
When you reflect A. (2,0) over the y-axis, the point becomes (-2,0).
When you reflect C. (3,3) over the y-axis, the point becomes (-3,3).
When you reflect D. (5,5) over the y-axis, the point becomes (-5,5).
The only answer that does not change location is B. (0,6) as it stays at (0,6). If you multiply 0 by any number, it will always stay 0.
Multiplying the x-coordinate by (-1) to find the reflection point only works if you are reflecting it over the y-axis. You would multiple the y-coordinate by (-1) if you were reflecting over the x-axis.
If you were to round off the measurement 2.33501 grams to three digits, you would get
Answer:
2.34 grams
Step-by-step explanation:
The first 3 digits of the number are 2, 3, 3. The next digit is 5, which is more than 4, so 1 is added to the digit to its left and all digits to the right of the first three are dropped.
2.33 becomes 2.34 because of the 5 in the thousandths place.
Your rounded measurement is 2.34 grams.