Find the sum of the angle measures in a regular polygon.
A) 720*
B) 900*
C) 1080*
D) 1260*
Please help!! Thanks
Answers
Answer:
D) 1260°
Step-by-step explanation:
In an n-sided polygon, the sum of all angles is equal to (n-2)*180°.
Look at it this way - let's add a point in the middle and connect it to each vertex. Then we've got n triangles for a total of n*180°, but all of the angles at the middle point aren't "part" of the polygon, so a full 360° angle should be subtracted, giving us n*180°-360° = (n-2)*180°
You can easily confirm that it works for triangles and quadrangles ;)
The figure in the picture has 9 sides, so the sum of angles is (9-2)*180° = 7*180° = 1260°
1260°
hope this helps ^-^
Related Questions
Simplify 17.6L:20800 ml
Answers
Answer:
x = 10
5x + 4x = 909x = 909x/9 = 90/9x = 10
Step-by-step explanation:
Please answer this correctly
Answers
Answer:
No this is not biased
Reason:
Each acts had an equal amount of songs so the possibilities are all the same so it's not biased.
----------------------------
I am pretty sure this is correct
Sorry If I'm wrong
Hope this helps :)
a wall that is 4 ft. 3 in. tall is next to a tree. the figure shows the shadows that they cast. what is the height of the tree in feet and inches?
Answers
Answer:
\(Tree = 17ft\)
Step-by-step explanation:
Given
\(Wall = 4ft\ 3in\)
\(Wall\ Shadow = 6ft\)
\(Tree\ Shadow = 24ft\)
Required:
Determine the height of the tree
To do this, we make use of the following equivalent ratios
Wall : Wall Shadow = Tree : Tree shadow
Substitute values for Wall, Wall Shadow and Tree Shadow
\(4ft\ 3in : 6ft = Tree : 24ft\)
Convert all units to ft
\(4ft+ 0.25ft : 6ft = Tree : 24ft\)
\(4.25ft : 6ft = Tree : 24ft\)
Convert to fractions
\(\frac{4.25ft}{6ft} = \frac{Tree }{ 24ft}\)
Cross Multiply
\(Tree * 6ft = 4.25ft * 24ft\)
\(Tree * 6ft = 102ft^2\)
Make Tree the subject
\(Tree = \frac{102ft^2}{6ft}\)
\(Tree = \frac{102ft}{6}\)
\(Tree = 17ft\)
Hence, the tree is 17ft tall
18 pieces of wood each are 1 4/9 feet long what is the total length of wood needed
Answers
Answer:
A
Step-by-step explanation:
hope this help
The value of (2/3)-3
Answers
Answer:
\(( \frac{2}{3} ) - 3 \\ (1.5) - 3 \\ 1.5 - 3 \\ 1.5\)
Step-by-step explanation:
please mark me brainliest
The dot plot shows the wing lengths in millimeters for ten birds.
wing length of birds
. . (...) . . : .
46 47 48 49 50 51 52 53 54
wing length (milliliters)
Which statement is supported by the data in the dot plot?
A. More than half of the birds have wing lengths of less than 50 millimeters.
B. There are more birds that have a wing length of 54 millimeters than birds that have a wing length of 46 millimeters.
C. Fewer than half of the birds have wing lengths greater than 48 millimeters.
D. There are more birds that have a wing length of 52 millimeters than birds that have a wing length of 51 millimeters.
Answers
Answer:
More than half the birds have wings length of less than 50 millimeters
Step-by-step explanation:
Trust me.
Answer:
More than half the birds have wings length of less than 50 millimeters
Step-by-step explanation:
What answer shows 3.28 rounded to the nearest half?
Answers
Answer:
3.5
Step-by-step explanation:
x+3y−z=2
4x+2y+5z=1
3x+z=12
Answers
Answer:
x=5, y= -2, z= -3Step-by-step explanation:
Given system of equations
x+3y−z=2 (1)4x+2y+5z=1 (2)3x+z=12 (3)Solution
3*(2) - 2*(1)
10x + 17z = -1 (4)17*(3) - (4)
51x - 10x + 17z - 17z = 12*17 - (-1) 41x = 205x = 55*3 + z = 12 ⇒ z = -35 + 3y -(-3) = 2 ⇒ 3y = -6 ⇒ y = -2THIS IS MATH WORK AND IS VERY CONFUSING
I NEED HELP PLEASE
ASAP PLEASE
(Could you show work too thanks :D)
Answers
Step-by-step explanation:
1.
First blank: total amount of outcomes
2.
since there's four possible outcomes: (Head-Head, Head-Tail, Tail-Head, and Tail-Tail) Mason should expect to win 1/4 of the time, or roughly 50 times.
3.
a) F
b) F
c) T
d) T
e) T
f) T
4.
17/36, because 17 of the answers are greater than 10 and there are 36 total answers.
Sorry I didn't answer all of them, hopefully this still helps!
Goodluck with your schoolwork/homework!
--------------------------------------------------------------
Apologies in advance for any errors/bad explanations.
A ball thrown in the air has a height of h(t)
- 16t^2 + 50+ + 3 feet after t seconds.
Part A: What is the average rate of change for h(t) between t=0 and t = 2?
A. 36 seconds per second
B. -36 feet per second
C.-18 Seconds per second
D. 18 feet per second
PART B.Is the average of the height of the ball increasing or decreasing.
Answers
Answer:
(D) 18ft per second
Step-by-step explanation:
the average of the height of the ball is increasing from t=0 to t=2.
Select all statements that are true.
Answers
Answers:
A, B, D, E
Nearly everything except choice C is true.
====================================================
Explanation:
Choice A is true because sine = opposite/hypotenuse.Choice B is true as well because cosine = adjacent/hypotenuseTangent is opposite/adjacent. The 4/9 should be 9/4. Therefore, choice C is false. If beta was theta, then tan(theta) = 4/9 would be true.Choice D is true because of the pythagorean theorem a^2+b^2 = c^2.Choice E is true because tan = opposite/adjacent, and the 9 and 4 are in the correct order (see choice C).PLEASE HELP
A cleaning spray contains 1/2 cup of vinegar for every 4 teaspoons of lemon oil
how many cups of vinegar are needed for 2 teaspoons of lemon oil?
Answers
Answer:
1/4 cup of vinegar for 2 tsp of lemon oil
Step-by-step explanation:
got it right on I-ready
and the Rate in cups of vinegar per teaspoons of lemon oil is 1/8
Given f(x) = 4x - 6, evaluate f(3).
A. 2
B. 1
C.12
D. 6
Answers
Answer:
6
Step-by-step explanation:
Let R(x)=3x^3+2x^2+x and S(x)=4+1. Find R(x) * S(x)
Pls help!!!!
Answers
3x^3 x 4x^2 = 12x^5
3x^3 x 1 = 3x^3
2x^2 x 4x^2 = 8x^4
2x^2 x 1 = 2x^2
1x x 4x^2 = 4x^3
1x x 1 = 1x
12x^5 + 3x^3 + 8x^4 + 2x^2 + 4x^3 + 1x
Simplify
12x^5 + 7x^3 + 8x^4 + 2x^2 + 1x
Thus, answer is B
Hope this helps!
6. Journalise the following transactions
1. Bricks for Rs 60,000 and timber for Rs 35,000 purchased for
the construction of building. The payment was made by cheque.
2. Placed in fixed deposit account at bank by transfer from current
account Rs 13,000.
3. Appointed Mr. S.N. Rao as Accountant at Rs 300 p.m. and
Received Rs 1000 as security Deposit at 5% p.a. interest.
4. Sold goods to shruti for Rs 80,000 at 15% trade discount and
4% cash discount. Received 75% amount immediately through a
cheque.
5. Purchased goods from Richa for Rs 60,000 at 10% trade
discount and 5% cash discount. 60% amount paid by cheque
immediately.
6.
On 18th jan,Sold goods to shilpa at the list price of Rs 50,000
20% trade discount and 4% cash discount if the payment is made
within 7 days. 75% payment is received by cheque on Jan 23rd.
7. On 25th jan, sold goods to garima for Rs 1,00,000 allowed her
20% trade discount and 5% cash discount if the payment is made
within 15 days. She paid 1/4th of the amount by cheque on Feb 5th
and 60% of the remainder on 15th in cash.
8. Purchased land for Rs 2,00,000 and paid 1% as brokerage and
Rs 15,000 as registration charges on it. Entire payment is made by
cheque.
9. Goods worth Rs 25,000 and cash Rs 40,000 were taken away
by the proprietor for his personal use.
10. Sold goods costing Rs 1,20,000 to charu at a profit of 33% 3 %
on cost less 15% trade discount.
9
11. Paid rent of building Rs 60,000 by cheque. Half the building is
used by the proprietor for residential purpose.
12. Sold goods costing Rs 20,000 to sunil at a profit of 20% on
sales less 20% trade discount .
13. Purchased goods for Rs 1000 from nanda and supplied it to
helen for Rs 1300. Helen returned goods worth Rs 390, which in
turn were returned to nanda.
14. Received invoice at 10% trade discount from rohit and sons
and supplied these goods to madan, listed at Rs 3000.
Answers
1.Bricks and timber purchased for construction. (Debit: Bricks - Rs 60,000, Debit: Timber - Rs 35,000, Credit: Bank - Rs 95,000)
2.Transfer of Rs 13,000 to fixed deposit account. (Debit: Fixed Deposit - Rs 13,000, Credit: Current Account - Rs 13,000)
3.Appointment of Mr. S.N. Rao as Accountant. (Debit: Salary Expense - Rs 300, Debit: Security Deposit - Rs 1,000, Credit: Accountant - Rs 300)
4.Goods sold to Shruti with discounts. (Debit: Accounts Receivable - Shruti - Rs 80,000, Credit: Sales - Rs 80,000)
5.Goods purchased from Richa with discounts. (Debit: Purchases - Rs 60,000, Credit: Accounts Payable - Richa - Rs 60,000)
6.Goods sold to Shilpa with discounts and received payment. (Debit: Accounts Receivable - Shilpa - Rs 50,000, Credit: Sales - Rs 50,000)
7.Goods sold to Garima with discounts and received partial payment. (Debit: Accounts Receivable - Garima - Rs 1,00,000, Credit: Sales - Rs 1,00,000)
8.Purchase of land with additional charges. (Debit: Land - Rs 2,00,000, Debit: Brokerage Expense - Rs 2,000, Debit: Registration Charges - Rs 15,000, Credit: Bank - Rs 2,17,000)
9.Proprietor took goods and cash for personal use. (Debit: Proprietor's Drawings - Rs 65,000, Credit: Goods - Rs 25,000, Credit: Cash - Rs 40,000)
10.Goods sold to Charu with profit and discount. (Debit: Accounts Receivable - Charu - Rs 1,20,000, Credit: Sales - Rs 1,20,000)
11.Rent paid for the building. (Debit: Rent Expense - Rs 60,000, Credit: Bank - Rs 60,000)
12.Goods sold to Sunil with profit and discount. (Debit: Accounts Receivable - Sunil - Rs 24,000, Credit: Sales - Rs 24,000)
13.Purchased goods from Nanda and supplied to Helen. (Debit: Purchases - Rs 1,000, Debit: Accounts Payable - Nanda - Rs 1,000, Credit: Accounts Receivable - Helen - Rs 1,300, Credit: Sales - Rs 1,300)
14.Purchased goods from Rohit and Sons and supplied to Madan. (Debit: Purchases - Rs 2,700, Credit: Accounts Payable - Rohit and Sons - Rs 2,700, Debit: Accounts Receivable - Madan - Rs 3,000, Credit: Sales - Rs 3,000)
Here are the journal entries for the given transactions:
1. Bricks and timber purchased for construction:
Debit: Bricks (Asset) - Rs 60,000
Debit: Timber (Asset) - Rs 35,000
Credit: Bank (Liability) - Rs 95,000
2. Transfer to fixed deposit account:
Debit: Fixed Deposit (Asset) - Rs 13,000
Credit: Current Account (Asset) - Rs 13,000
3. Appointment of Mr. S.N. Rao as Accountant:
Debit: Salary Expense (Expense) - Rs 300
Debit: Security Deposit (Asset) - Rs 1,000
Credit: Accountant (Liability) - Rs 300
4. Goods sold to Shruti:
Debit: Accounts Receivable - Shruti (Asset) - Rs 80,000
Credit: Sales (Income) - Rs 80,000
5. Goods purchased from Richa:
Debit: Purchases (Expense) - Rs 60,000
Credit: Accounts Payable - Richa (Liability) - Rs 60,000
6. Goods sold to Shilpa:
Debit: Accounts Receivable - Shilpa (Asset) - Rs 50,000
Credit: Sales (Income) - Rs 50,000
7. Goods sold to Garima:
Debit: Accounts Receivable - Garima (Asset) - Rs 1,00,000
Credit: Sales (Income) - Rs 1,00,000
8.Purchase of land:
Debit: Land (Asset) - Rs 2,00,000
Debit: Brokerage Expense (Expense) - Rs 2,000
Debit: Registration Charges (Expense) - Rs 15,000
Credit: Bank (Liability) - Rs 2,17,000
9. Goods and cash taken away by proprietor:
Debit: Proprietor's Drawings (Equity) - Rs 65,000
Credit: Goods (Asset) - Rs 25,000
Credit: Cash (Asset) - Rs 40,000
10. Goods sold to Charu:
Debit: Accounts Receivable - Charu (Asset) - Rs 1,20,000
Credit: Sales (Income) - Rs 1,20,000
Credit: Cost of Goods Sold (Expense) - Rs 80,000
Credit: Profit on Sales (Income) - Rs 40,000
11. Rent paid for the building:
Debit: Rent Expense (Expense) - Rs 60,000
Credit: Bank (Liability) - Rs 60,000
12. Goods sold to Sunil:
Debit: Accounts Receivable - Sunil (Asset) - Rs 24,000
Credit: Sales (Income) - Rs 24,000
Credit: Cost of Goods Sold (Expense) - Rs 20,000
Credit: Profit on Sales (Income) - Rs 4,000
13. Goods purchased from Nanda and supplied to Helen:
Debit: Purchases (Expense) - Rs 1,000
Debit: Accounts Payable - Nanda (Liability) - Rs 1,000
Credit: Accounts Receivable - Helen (Asset) - Rs 1,300
Credit: Sales (Income) - Rs 1,300
14. Goods received from Rohit and Sons and supplied to Madan:
Debit: Purchases (Expense) - Rs 2,700 (after 10% trade discount)
Credit: Accounts Payable - Rohit and Sons (Liability) - Rs 2,700
Debit: Accounts Receivable - Madan (Asset) - Rs 3,000
Credit: Sales (Income) - Rs 3,000
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2. Solve the equation by completing the square. Round to the nearest hundredth if necessary.
x² – 3x-3=0
Answers
What is the coefficient of the term 6/7xy
Answers
Answer: 6/7
Answer: 6/7 The required option is (3) 6/7
Step-by-step explanation: Explanation : A term is combination of variables and numerals by means of multiplication and division.
The cost of shipping a package is $2.75 per pound. Jeremy wants to ship a package that has a mass of 15 kg. How much will it cost Jeremy to ship this package? Use 1 kg = 2.2 lbs.
Answers
Answer:
$90.75
Step-by-step explanation:
First we convert kilograms to pounds.
1 kg = 2.2 lb
15 kg = 15 * 2.2 lb = 33 lb
Cost of shipping: $2.75/lb
Cost of shipping 33 lb: 33 lb * 2.75/lb = $90.75
Answer: $90.75
4/3/8
pls help
i will mark brainliest
Answers
Answer:
umm can you be more specific
Step-by-step explanation:
Answer:
32/3
Step-by-step explanation:
4 ÷ 3/8
4 3
___ ÷ ___ (reciprocal method, then change the operation to multiplication)
1 8
4 8
___ × ___ (multiply)
1 3
= 32/3
since 32/3 is already reduced, the final answer would be 32/3.
Select a counter-example that makes the conclusion false. 7 - 3 = 4, 8 - 5 = 3, 9 - 8 = 1 Conclusion: the difference o...
Answers
A counter-example to the given conclusion is the difference between the numbers 15 and 25, where both are positive, but the difference gives a negative result.
How to find the counter-example?Here we are shown some differences between positive numbers:
7 - 3 = 4
8 - 5 = 3
9 - 8 = 1
And the conclusion is:
"The difference of two positive numbers is always positive".
To find a counter-example we just need to find two positive numbers such that the difference between these two positive numbers gives a negative number as a result.
An example of that can be the numbers 15 and 25, if we take the difference we will get:
15 - 25 = -10
Here we can see that the difference between two positive numbers gives a negative number as an outcome, so this is our counter-example.
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(GIVING AWAY BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS ME :> BTW THE SUBJECT MATH IS INNCORECT BUT I CHOSE IT BC THEY DIDNT HAVE SCIENCE AS AN OPTION LOL)
Veronica observes how the force of friction causes an object to slow down. She writes the following observation: When an object moves across a smooth surface, there is less friction created than when an object moves across a rough surface. When the object stops moving, friction is created. Which statement corrects the error(s) in Veronica's observations?
A) It is not smooth or rough surfaces that affects friction. It is the size of the push.
B) When an object moves across a rough surface, there is no friction.
C) When an object moves across a smooth surface, the friction increases.
D) When an object stops moving, there is no friction.
(Here is an image if needed) :
Answers
Answer:
C
Step-by-step explanation:
Answer:
A
number is correct answer
2. Find the difference when -4n - 8 is subtracted from 2n + 5
Answers
Answer:
-6n - 13
Step-by-step explanation:
(-4n - 8) - (2n + 5)
Subtract -4n and 2n.
Then Add 8 and 5.
-6n - 13
y = x² - 4x convert from standard to vertex form
Answers
Answer:
\(y = (x-2)^{2} -4\)
Step-by-step explanation:
To complete the square: add 4 to both sides because the product of 4 as 2 as the factor which 2 * 2 so \(2^{2}\)
\(y + ? = x^{2} - 4x + ?\)
\(y + 2^{2} = x^{2} - 4x + 2^{2}\)
\(y + 4 = x^{2} - 4x + 4\)
Now we can factor the expression
\(y + 4 = (x-2)^{2}\)
Move the 4 to the other side to isolate y which changes the sign
\(y = (x-2)^{2} - 4\)
Problem: Show the equation below with "Gate-Array Logic Circuit"; Equation => x² + 3 x y − 14 =output Explanations: Design a Gate-Array Logic Circuit Inputs X, Y 4-bit numbers and output is 8-bit number. Use AND, OR, XOR, NOT gates. Use Full-Adder circuit.
Answers
Answer:
Step-by-step explanation:
A gate-array logic circuit for the equation x² + 3xy - 14 = output could be designed as follows:
First, we need to calculate x² and 3xy. This can be done using AND, OR, XOR, and NOT gates.
Next, we need to add the two values obtained in step 1 using a full-adder circuit.
Finally, we need to subtract 14 from the sum obtained in step 2. This can be done using a subtractor circuit, which is essentially a full-adder circuit with an additional input for the subtrahend (in this case, 14).
Here is a schematic of the gate-array logic circuit:
_______________
| |
X--| AND/OR/XOR/NOT |---x²
Y--| AND/OR/XOR/NOT |---3xy
|_______________|
|
______
| |
x²--| Full |---(x² + 3xy)
3xy--| Adder|
|______|
|
______
| |
(x² + 3xy)--| Sub |---output
14--| tract|
|______|
Note that this is just one possible way to design the circuit, and there may be other ways to achieve the same result.
Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of 1. 27% of the possible Z values are greater than _____________.
Answers
Answer:
27% of the possible Z values are greater than 0.613
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
\(\mu = 0, \sigma = 1\)
27% of the possible Z values are greater than
The 100 - 27 = 73rd percentile, which is X when Z has a pvalue of 0.73. So X when the z-score is 0.613.
\(Z = \frac{X - \mu}{\sigma}\)
\(0.613 = \frac{X - 0}{1}\)
\(X = 0.613\)
27% of the possible Z values are greater than 0.613
4x-3y<16, which ordered pair?
Answers
Answer:
A. (3, -1)
Step-by-step explanation:
The ordered pair that is a solution is the one which makes the inequality TRUE when the value of the ordered pairs are plugged into 4x - 3y < 16
Therefore, the ordered pair, (3, -1) is the solution because it is the only given ordered pair in the options that makes the inequality true. Thus:
Substitute x = 3 and y = -1 into 4x - 3y < 16
4(3) - 3(-1) < 16
12 + 3 < 16
15 < 16 (TRUE)
Lynnetta gets paid weekly for completing household chores. The amount of money she earns for doing dishes, D, is approximately Normally distributed with a mean of $53 and a standard deviation of $3.60. The amount of money she earns for doing laundry, L, is approximately Normally distributed with a mean of $47 and a standard deviation of $4.10. Assume that D and L are independent random variables. What is the probability that Lynnetta will earn more than $110 in a randomly selected week?
Answers
Answer:
0.034
Step-by-step explanation:
cuz i missed it
Dividing fractions word problems, please help I need it........
Answers
Answer:
25
Step-by-step explanation:
l x w = h
25 x 7.2 = 180
9.858/0.795 find quotient
Answers
Step by step
Quotient is the word for a division solution.
Since this is a decimal problem, we can use the calculator and type in
9.858 ÷ .795 = 12.4
Problem solved
The length of two side of a triangle are 3cm and 4cm and the angle included between these sides is 30° . Find the areas of he triangle .
Answers
The area of the triangle is 3 cm^2.
What is Area?Area is the measure of the amount of space inside a two-dimensional shape, such as a square, rectangle, triangle, or circle. It is usually measured in square units, such as square centimeters, square inches, or square meters.
What are Two Dimensional Shape?Two-dimensional shapes are flat shapes that exist in only two dimensions - length and width. They are also known as 2D shapes. Some common examples of two-dimensional shapes include:
SquareRectangleCircleTriangleTrapezoidParallelogramIn the given question,
To find the area of a triangle, we need the length of two sides and the angle between them. We are given that the length of two sides of the triangle are 3 cm and 4 cm, and the angle between them is 30°.
We can use the formula for the area of a triangle, which is:
Area = (1/2) x base x height
We can take the side of length 3 cm as the base of the triangle, and the side of length 4 cm as the height, as it forms a right angle with the base. To find the height, we can use trigonometry.
sin(30°) = opposite/hypotenuse
sin(30°) = height/4
height = 4 x sin(30°)
height = 2 cm
Now, we can substitute the values in the formula for the area of the triangle:
Area = (1/2) x base x height
Area = (1/2) x 3 x 2
Area = 3 cm^2
Therefore, the area of the triangle is 3 cm^2.
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