Find the area of each regular polygon. Round to the nearest tenth. Please help I will make brainliest
Answers
Answer:
about 317
Step-by-step explanation:
You can break up the pentagon into 5 isoceles triangles
with length of 20√3/3 for the legs. Using the law of Sines are formula, we can see the area of one triangle is the leg * leg * sin(joining angle) /2.
The angle measure between it is 360/5 = 72 degrees.
So we plug it in and we get 317.01 ish.
I hope that helped and i need a brainly mark please :)
The Area of Pentagon is 363.43 mm².
What is Area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.
We have, Apothem= 10mm
So, Perimeter of Pentagon
= 10 x 7.267
= 72.67 mm
Now, side of pentagon = 72.67/ 5= 14.534 mm
So, Area of Pentagon
= 1/4 √5(5+2√5) a²
= 1/4 √5(5+2√5) (14.534)²
= 363.43 mm²
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Related Questions
Which statement is true?
The solution is x = 3.
The solutions are x = -2 and x = 3.
There are no solutions.
There are infinite solutions.
DONE
Answers
Answer:
its c
Step-by-step explanation:
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
Steve is making a circular shield with a radius of 11 inches for a school play. What approximate length of cardboard does he need to make the outer border of the shield?
Answers
Step-by-step explanation:
It is given that, Steve is making a circular shield with a radius of 11 inches for a school play. We need to find the length of cardboard he need to make the outer border of the shield. It means that we need to find the circumference of the circular shield of radius 11 inches.
So,
[tex]C=2\pi r\\\\C=2\times 3.14\times 11\\\\C=69.08\ \text{inches}[/tex]
So, he will need 69.08 inches of cardboard to make the outer border of the shield.
Two angles in a triangle measure 28° and 939. What is the measure of the third angle?
59
87
121
152
Answers
Solve 3z divided by 2=9
Answers
z = 6.
6 x 3 = 18. 18/2=9
z. Again= 6
Answer:
z=6
Step-by-step explanation:
3z/2=9
3x6=18/2=9
What is the measure of angle A?
(3y + 27)
What is the measure of angle B?
(5y - 3)º
Answers
Answer:
72
108
Why?
It came back as correct
what is the solution to the system of equations below?
{2y=x+6
{3x=y+7
Answers
Answer:
x=4, y=5
Step-by-step explanation:
2y=x+6
3x=y+7
If you subtract 6 from both sides of the first equation, x will be isolated and you can plug it into the second equation. The new first equation is 2y-6=x, which when plugged into the second equation yields:
3(2y-6)=y+7
6y-18=y+7
5y=25
y=5
x=4
Hope this helps!
Final answer:
To solve the given system of linear equations, we use substitution to express x in terms of y from one equation and substitute it into the other, giving us the solution x = 4, y = 5.
Explanation:
The solution to a system of linear equations can be found by various methods, including substitution or elimination. The given system, which appears to be:
2y = x + 63x = y + 7This can be solved by using these methods. First, we will express one variable in terms of the other from one of the equcations and then substitute this into the second equation. Taking the first equation:
2y = x + 6
we can solve for x:
x = 2y - 6
Now, we substitute x in the second equation:
3(2y - 6) = y + 7
This simplifies to:
6y - 18 = y + 7
Now, let's solve for y by isolating it on one side:
6y - y = 7 + 18
5y = 25
y = 5
With the value of y, we can now substitute back into the equation x = 2y - 6 to find x:
x = 2(5) - 6
x = 10 - 6
x = 4
Therefore, the solution to the system of equations is x = 4, y = 5.
Question 7
3 pts
(02.03 MC)
Which of the following statements is most likely correct about a rock found in Europe and a
rock found in America, both having the same kinds of fossils?
The rocks are the same age.
They are different types of rocks.
The mineral composition of the rocks is identical.
They were exposed to the same agents of weathering
Answers
Answer:
They were exposed to the same agents of weathering
Suppose a number cube is rolled twice. what is the probability that an odd number will show both times?
Answers
Answer:
1/4 or 25%Step-by-step explanation:
Suppose half on numbers are odd, then for each roll the probability is 1/2
So for two rolls the probability is:
1/2*1/2 = 1/4 or 25%Abdul returned home from school on the school bus. The bus traveled 9 km north
and then 12 km west. How far is Abdul's house from the school? Round to the
nearest whole number. (PLEASE SHOW WORK)
Answers
Answer:
15 km
Step-by-step explanation:
The formula to find the hypotenuse of a right triangle
Is the square root of [tex]a^{2} +b^{2}[/tex]
a and b represent the side lengths so just plug in the side lengths for a and b
it doesn't matter which side you make a or b
square a and b
square root of 144+81
add them
[tex]\sqrt{225}[/tex]
solve
15
add your units and you're done
15 km
Use the graph to estimate the solution of the system. x + 2y = 5, –x + 3y = 6 Which integers is the x-value between? What is the x-value to the nearest tenth? Which integers is the y-value between? What is the y-value to the nearest tenth?
Answers
Answer:
look at this and there’s ur answer
Step-by-step explanation:
The solution of the given system of equations using the graph is (0.6,2.2) so x is between 0 and 1 and y is between 2 and 3.
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.
As per the given system of equations,
x + 2y = 5, –x + 3y = 6
Both systems of the equation have been plotted below.
The intersection point will be a solution as (0.6,2.2).
0 < 0.6 < 1 and 0.6 can be rounded to the nearest tenth as 0.6.
2 < 2.2 < 3 and 2.2 can be rounded to the nearest tenth as 2.2.
Hence "The solution of the given system of equations using the graph is (0.6,2.2) so x is between 0 and 1 and y is between 2 and 3".
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Jace gathered the data in the table. He found the approximate line of best fit to be y = –0.7x + 2.36.
A 2-column table with 5 rows. The first column is labeled x with entries 0, 1, 4, 5, 7. The second column is labeled y with entries 3, 1, 0, negative 2, negative 2.
What is the residual value when x = 5?
Answers
Answer:
B on ed!!!!
Step-by-step explanation:
(-0.86)
The residual value when x = 5 is -0.86.
What is meant by Residual Value?Residual value is defined as the difference of the value that we predicts with that of the observed value.
It is given that,
Line of best fit is,
y = –0.7x + 2.36
Predicted value at x = 5 is,
y = -0.7 × 5 + 2.36 = -1.14
Observed value at x = 5 is y = -2
Residual value = Observed value - Predicted value
= -2 - -1.14
= -0.86
Hence the residual value is -0.86.
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Matt has $900 in a checking account, has $15,000 in investments, owns an
$8000 car, and owns a $30,000 house. What is the total value of his large
assets
Answers
The total value of Matt's large assets, which include his investments, car, and house, adds up to $53,000.
Explanation:The student is asking about calculating the total value of large assets that Matt owns. To find this, we add up the value of the investment, car, and house as these are considered large assets. The checking account is generally not included in large assets, as it is considered liquid cash rather than an asset of substantial value like property or investments.
Investments: $15,000Car: $8,000House: $30,000We calculate the sum of these amounts to get the total value of Matt's large assets:
$15,000 + $8,000 + $30,000 = $53,000
Therefore, the total value of Matt's large assets is $53,000.
Zack wants to make a profit of more than $300 for painting 4 identical rooms. The profit he makes is equal to the amount he is paid minus the cost of supplies. The cost of supplies is $32.50 for each room. Which inequality and solution represent the dollar amount, n, that zack must be paid for each room if he is to make a profit of more than 300$
A: n-4(32.5) > 300;n > 430
B: (n - 32.5) > 1,200; n > 332.5
C. (n-32.5)>300;n> 107.5
D 4n-32.5 > 300; n > 83.125
Answers
Answer: A
n-4(32.5) > 300;n > 430tep-by-step explanation:
given that Zack wants to make a profit of more than $300 for painting 4 identical rooms. That is
Profit > $300
Then, the profit he makes is equal to the amount he is paid minus the cost of supplies. The cost of supplies is $32.50 for each room. That is
n - 32.5 and
P + 32.5 × 4
Where 4 = number of rooms
P + 130
The minimum profit = 300 + 130 = $430
Therefore, the inequality and solution that represent the dollar amount, n, that zack must be paid for each room if he is to make a profit of more than 300$ is
n-4(32.5) > 300;n > 430
Final answer:
The correct inequality to represent the amount Zack must be paid per room to make a profit of more than $300 is C: (n-32.5) > 300; n > 107.5. After solving the inequality, it shows that n must be greater than $107.5 per room.
Explanation:
Zack aims to make a profit of more than $300 for painting 4 identical rooms. The cost of supplies per room is $32.50, and Zack's profit is based on what he's paid minus the supplies costs. To find the minimum amount, n, he needs to be paid per room to achieve this profit, we set up an inequality where the total amount paid for all rooms minus the total cost of supplies is greater than the desired profit.
The correct inequality is:
4n - 4(32.5) > 300
When simplified, this inequality becomes:
4n > 300 + 4(32.5)
4n > 300 + 130
Now, we solve for n:
4n > 430
n > 107.5
This means each room must be paid for an amount greater than $107.5 for Zack to make his desired profit. Therefore, the correct answer is C.
prove that 7 + 3 root 2 is not a rational number
Answers
Answer:
Step-by-step explanation:
let 7 + 3√2 be an rational number where
7+3√2 = a/b [ a and b are coprime and b is not equal to zero]
3√2= a/b-7
3√2 =( a-7b) /b
√2 = (a-7b) /3b .....(i)
Now ,from equation (i) ,we get that √2 is rational but we know that √2 is irrational. so actually 7 + 3√2 is irrational not rational. thus our assumption is wrong. The number is irrational.
Answer:
Prove by contradiction.
See below.
Step-by-step explanation:
Assume it is rational, then:
Let x = 7 + 3√2 = p/q where p and q are integers and p/q is in simplest form.
x^2 = 49 + 42√2 + 18 = p^2/q^2
67q^2 = p^2 - 42√2q^2
67q^2 - p^2 = -42√2 q^2
67q^2 - p^2 is rational and q^2 is rational so that makes -42√2 rational.
but we know that -42√2 is irrational, so our original assumption is not true.
What is one way to summarize all of the values of a data set with a single number?
Thank you
Answers
Answer:
A measure of central tendency
Step-by-step explanation:
A measure of central tendency summarizes all of the values in a data set with one number.
A measure of central tendency describes how the values in a data set vary with a single number.
the three main measure of central tendency are the mean, median, and mode, all this three are single values attributed to values of a distribution.
The mean is the average value of a distribution
while the median is the middle value of a distribution and
the mode is the most occurrence value among the distribution.
Which of the following describes the function −x4 + 1
Answers
where are the choices for the question?
A rectangle made of square tiles measures 10 tiles long and 8 tiles wide. what is the width of a similar rectangle whose length is 15 tiles?
Answers
Answer:
12 or 13
hope this helps
Answer:
13
Step-by-step explanation:
Heather is making two different pies if the first pie needs 6.25 cups of flour and the second pie needs 4.5 cups of flour how much flour will heather need in all
Answers
Answer:
The answer is 9.75
Step-by-step explanation:
6.25
4.50
Equals 9.75
You have to add a 0 after the 5 in 4.5 because the 5 is in the tenths place.
Sorry if it isn’t right, that’s how I was taught.
Mr. Jackson likes to play a game in which rolling a 4 on a number cube doubles your score. He wants to know the probability that he will roll a 4 exactly 3 times out of 10 rolls. I need four reasons this is an example of a binomial experiment.
Answers
Answer:
1. There are a fixed number of trials
2. There are two outcomes: success (getting a 4) and failure (not getting a 4)
3. You know the probability of success and it is the same for each trial
4. You are looking for the probability of getting a 4 exactly 3 out of 10 times. When you're looking for the probability of getting exactly x number of successes in n trials, that is a binomial probability distribution.
Step-by-step explanation:
help, Find the circumference of the circle. Round your answer to the nearest hundredth.
Answers
Answer:
18.85
Step-by-step explanation:
2 x π x 3
18.8496
Rounded to nearest hundredth: 18.85
Find the value of (5n+3)-(2n-5)when n=4
Answers
Answer:
F(n) = (5n + 3) - (2n - 5)
F(4) = (5*4 + 3) - (2*4 - 5)
= 20 + 3 - 8 + 5
= 20
Hope this helps!
:)
Answer:
20
Step-by-step explanation:
(5n+3)-(2n-5) =
= (5×4+3) - (2×4-5)
= (20+3) - (8-5)
= 23 - 3
= 20
Find the area of the regular polygon with the given apothem a and side length s.
octagon, a=66.4 in, S =55 in
Answers
Answer:
Area is 14608in²
Step-by-step explanation:
this problem is based on mensuration of flat shapes, polygon
Octagon number of sides n= 8
The expression for the area of polygon given apothem and side
Is
Area= (n*s*a)/2
Given n= 8
s= 55in
a= 66.4in
Substituting our given data we have
Area = (8*55*66.4)/2
Area = 29216/2
Area = 14608in²
The area of the regular octagon is [tex]\( 14608 \)[/tex] square inches.
The area of a regular polygon can be calculated using the formula:
[tex]\[ A = \frac{1}{2} \times a \times p \][/tex]
where [tex]\( A \)[/tex] is the area, [tex]\( a \)[/tex] is the apothem, and [tex]\( p \)[/tex] is the perimeter of the polygon.
For a regular octagon, the perimeter [tex]\( p \)[/tex] is given by:
[tex]\[ p = n \times s \][/tex]
where [tex]\( n \)[/tex] is the number of sides and [tex]\( s \)[/tex] is the length of one side. Since an octagon has 8 sides:
[tex]\[ p = 8 \times s \][/tex]
Given that [tex]\( s = 55 \)[/tex] in, we can calculate the perimeter:
[tex]\[ p = 8 \times 55 \text{ in} = 440 \text{ in} \][/tex]
Now, we can calculate the area of the regular octagon with the given apothem [tex]\( a = 66.4 \)[/tex] in and side length [tex]\( s = 55 \)[/tex] in:
[tex]\[ A = \frac{1}{2} \times a \times p \][/tex]
[tex]\[ A = \frac{1}{2} \times 66.4 \text{ in} \times 440 \text{ in} \][/tex]
[tex]\[ A = 33.2 \text{ in} \times 440 \text{ in} \][/tex]
[tex]\[ A = 14608 \text{ in}^2 \][/tex]
What is the shape of the graph of the function?
h(x) =2.05*3^x
Answers
Answer: A
Step-by-step explanation:
Using the greatest common factor for the terms, how can you write 56 + 32 as a product?
A) 4(14 + 8)
B) 7(4 + 8)
C) 8(7 + 4)
D) 14(4 + 2)
PLZ HELP
Answers
Answer:
8(7+4) (C.)
Step-by-step explanation:
What is the biggest number that goes into 56 and 32?
8!
So then you have to divide both numbers by 8 like so:
[tex]56/8 + 32/8[/tex]
and put the 8 on the outside...
8(7+4)
Find the value of x in the triangle above
Answers
Answer: x = 8
Step-by-step explanation: So you have 3 sides and 3 numbers. Identify the side that has a number without a variable. (This goes for both triangles) Then you divide the 1st number by the 2nd. In this case it would be 20 or side "B" divided by 5 or side "E", which equals 4. You then take 4 and multiply it by 4 or side "D" (Because it's the only other side that does not have a variable) and you take your answer (16) and 2x or side "A", and make an equation. The equation would be : 2 * x = 16. Now solve the equation. Your answer is : x = 8.
445% as a decimal rounded to the thousands place
Answers
Answer:
4.45
Step-by-step explanation
Answer:
Step-by-step explanation:
445
First, we move the decimal 2 spaces which give us 4.45
4.45 rounded is 4.45 so that is our answer
Write the following number in expanded form: fifty-four and elght tenths
Answers
Answer:
50 + 4 + . 8/10 I think
Step-by-step explanation:
54.8
The number 'fifty-four and eight tenths' in expanded form is represented as 50 + 4 + 0.8. Each digit's place value is broken down in this representation.
Explanation:The number 'fifty-four and eight tenths' is typically represented in decimal form as 54.8. In expanded form, we break down each digit's place value. Here are the steps:
Look at the digits in the number 54.8. The '5' is in the tens place and the '4' is in the ones place. Express the '5' in the tens place as 50 because 5 tens equals 50. Express the '4' as 4 because it is in the ones place. The '.8' represents eight tenths, so it can be written as 0.8.
When combined, the expanded form of 54.8 is 50 + 4 + 0.8.
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The area of a kite ABCD is 72cm2 and one diagonal is 18cm long. Find the length of the other diagonal.
Answers
Answer:
8cm
Step-by-step explanation:
1/2 × 18b = 72
9b = 72
b = 72/9
b = 8
Answer:
Answer:
8 cm
Step-by-step explanation:
1/2 × 18 b = 72
9 b = 72
b = 72/9
b = 8
Witch is not a characteristic of an exponential parent function
Answers
Answer:
All exponential functions try to cross the x axis but never do
Step-by-step explanation:
Can someone please help
Answers
Answer:
C
Step-by-step explanation:
We need to use the distance formula, which says that for two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], the distance between them is:
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Here, the two points are (-2.5, 4.5) and (4.75, 4.5), so:
d = [tex]\sqrt{(4.75-(-2.5))^2+(4.5-4.5)^2}=\sqrt{(7.25)^2+(0)^2}=7.25[/tex] = 7 1/4
The answer is C.
Answer:
7¼ units
Step-by-step explanation:
Since the y-coordinate is the same, the two points lie on the same horizontal line
No vertical distance
Only horizontal distance of:
4¾ - (-2½)
4.75 + 2.5
7.25 units
Or
7¼ units