PLEASE HELP!!
To the nearest square unit, what is the area of the regular heptagon shown below?
A. 2772 square units
B. 1572 square units
C. 792 square units
D. 5545 square units
Answers
Answer:
1572 Square Units
Step-by-step explanation:
First, find the perimeter by multiplying 20.8 * 7 which is 145.6. Then multiply the perimeter with the apothem. After that, you divide by 2.
So, 145.6*21.6/2= 1572.
Related Questions
suppose m < ABC = 110. what is m < DBC
Answers
The measurement of ∠y = ∠DBC will be 40°.
What is Angle ?
In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
Given is ∠ABC = 110°
Let ∠ABD = x , ∠DBC = y, ∠CBE = z
∠ABD + ∠DBC + ∠CBE = 180°
x + y + z = 180°
and
∠ABD + ∠DBC = 110°
x + y = 110°
Then -
z = 180° - (x + y)
z = 180 - 110
z = 70°
Since DB and EC are equally inclined -
x = z = 70°
Then -
x + y = 110°
y = 110° - 70°
y = 40°
Therefore, the measurement of ∠y = ∠DBC will be 40°.
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What are the factors of the function graphed below?
Answers
Roots are at:
-2, 0, 1, 2
a factor is in the form (x + a) where a = the negative of a root
So the factors are:
(x+2)
(x + 0) = x
(x -1)
and
(x-2)
Multiply -2x^(-3) y (5yx^(5)+8xy-4y^(2) x(2) ).
Answers
Final answer:
The original equation, after multiplication and simplification, results in -10x^2y^2 - 16y^2 + 8x^-1y^3. This process demonstrates the use of the distributive property and exponent rules in algebra.
Explanation:
The question requires us to multiply -2x-3y by (5yx5+8xy-4y2x2). Proceed by applying the distributive property, which involves multiplying each term inside the parentheses by -2x-3y. Here are the steps:
Multiply -2x-3y by 5yx5 to get -10x2y2.
Multiply -2x-3y by 8xy to get -16y2.
Multiply -2x-3y by -4y2x2 to get 8x-1y3.
Therefore, the final result of the multiplication is -10x2y2 - 16y2 + 8x-1y3.
The result is [tex]\[ -10yx^2 - 16y^2x^{-2} + 8x^{-1}y^3 \][/tex].
To multiply [tex]\(-2x^{-3} y\) by \(5yx^5 + 8xy - 4y^2x^2\)[/tex], we distribute [tex]\(-2x^{-3} y\)[/tex] to each term inside the parentheses.
[tex]\[ -2x^{-3} y (5yx^5) + (-2x^{-3} y)(8xy) + (-2x^{-3} y)(-4y^2x^2) \][/tex]
Simplify each term:
[tex]\[ = -10yx^2 + (-16)x^{-2}y^2x + 8x^{-1}y^3 \][/tex]
[tex]\[ = -10yx^2 - \frac{16y^2}{x^2} + 8x^{-1}y^3 \][/tex]
[tex]\[ = -10yx^2 - 16y^2x^{-2} + 8x^{-1}y^3 \][/tex]
Thus, the final result of the multiplication is [tex]\[ -10yx^2 - 16y^2x^{-2} + 8x^{-1}y^3 \][/tex].
This expression cannot be further simplified, as it represents the result of multiplying each term in the first expression by each term in the second expression and then combining like terms.
Therefore, the correct option is B. [tex]\[ -10yx^2 - 16y^2x^{-2} + 8x^{-1}y^3 \][/tex].
Complete Question:
List at least three (3) characteristics of carbon that make it a unique element.
Answers
2.) The diamond allotropic form of carbon is the hardest substance known.
3.) Carbon has the ability to form covalent bonds with other carbon atoms forming continuous chains, branches, and loops
Answer: Carbon occurs as a solid, liquid, and gas.
Carbon is found everywhere.
Carbon is versatile and easily combines with other elements.
Carbon bonds with other elements to form macromolecules.
PLEASE ANSWER! BRAINLIESTTTTT
Ellen has $75 in her savings account. She deposits $25 every week. Her father also deposits $35 into the account every time Ellen mows the lawn. Her savings account balance can be shown with the following expression:
75 + 25w + 35m
Part A: Identify a coefficient, a variable, and a constant in this expression. (3 points)
Part B: If Ellen saves for 8 weeks and mows the lawn 2 times, how much will she have in her account? Show your work to receive full credit. (4 points)
Part C: If Ellen had $95 in her savings account, would the coefficient, variable, or constant in the expression change? Why? (3 points)
Answers
B:25x8=200+75=345
C:coefficient because instead of 75, it would be 95 changing the equation
Hopefully I did it right
part b: $345
part c: only the constant would change because her original amount is 75 so if you change 95 it should be the expression 95+25w+35m
There are three pieces of pizza how many 1/4 pieces of pizza can be sliced from the 3 pieces
Answers
Use the graphing calculator to graph the quadratic function y = x2 − 5x − 36. Which value is a solution of 0 = x2 − 5x − 36?
Answers
Answer:
B) −4
Step-by-step explanation:
how can you interpret the independent or conditional probability of two events
Answers
1. Independent probability of A and B occurring together (drawing a red queen): [tex]\( \frac{1}{26} \)[/tex]
2. Conditional probability of A given B (drawing a red card given that a queen was drawn): [tex]\( \frac{1}{2} \)[/tex]
- Independent probability: This is the probability of two events occurring together, assuming that one event's occurrence does not affect the other. Mathematically, if A and B are independent events, then [tex]\( P(A \cap B) = P(A) \times P(B) \).[/tex]
- Conditional probability: This is the probability of an event occurring given that another event has already occurred. Mathematically, if A and B are events with[tex]\( P(B) > 0 \)[/tex], then the conditional probability of A given B is [tex]\( P(A|B) = \frac{P(A \cap B)}{P(B)} \).[/tex]
Let's illustrate these concepts with an example:
Suppose we have a deck of cards (52 cards total), and we're interested in two events:
A: Drawing a red card
B: Drawing a queen
First, let's find the independent probabilities:
1. Probability of A (drawing a red card):
- There are 26 red cards out of 52 total cards, so [tex]\( P(A) = \frac{26}{52} = \frac{1}{2} \).[/tex]
2. Probability of B (drawing a queen):
- There are 4 queens out of 52 total cards, so[tex]\( P(B) = \frac{4}{52} = \frac{1}{13} \).[/tex]
Now, let's find the probability of both events occurring together (A and B):
3. Probability of A and B (drawing a red queen):
- There are 2 red queens (hearts and diamonds) out of 52 total cards, so [tex]\( P(A \cap B) = \frac{2}{52} = \frac{1}{26} \).[/tex]
For independent events,[tex]\( P(A \cap B) = P(A) \times P(B) \):[/tex]
[tex]\[ \frac{1}{26} = \frac{1}{2} \times \frac{1}{13} \][/tex]
Now, let's find the conditional probability of A given B:
[tex]\[ P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{\frac{1}{26}}{\frac{1}{13}} = \frac{1}{2} \][/tex]
1. Independent probability of A and B occurring together (drawing a red queen): [tex]\( \frac{1}{26} \)[/tex]
2. Conditional probability of A given B (drawing a red card given that a queen was drawn): [tex]\( \frac{1}{2} \)[/tex]
In summary, we first calculated the independent probabilities of A and B, then found the probability of A and B occurring together, and finally calculated the conditional probability of A given B using the given formulas and calculations.v
complete question
how can you interpret the independent or conditional probability of two events
I NEED HELP QUICK, PLEASE!
A hair salon charges a fixed rate of $25.00 for a haircut and then an additional $15 for any other services. Write a function to model the cost of services there and then determine how many services you had if you were charged $115
A) f(x) = 15x + 25; f(6) = 115
B) f(x) = 25x + 15; f(6) = 165
C) f(x) = 15x + 25; f(6) = 125
D) f(x) = 15x + 25; f(115) = 1750
Answers
1. Let x = # of services
2. f(x) = 15x + 25
3. Set f(x) to 115 and solve for x:
f(x) = 15x + 25
115 = 15x + 25
90 = 15x
6 = x
A) f(x) = 15x + 25; f(6) = 115
At the bookstore checkout, you watch as the register rings up your purchases and coupons.
The prices were as follows:
$1.85
$8.56
$6.30
$2.73
$5.25
$4.09
$7.95
– $0.85 (coupon)
– $2.10 (coupon)
The register gives your total bill as $41.44. Estimate the total amount of the bill, by rounding
each value to the nearest dollar, and use your answer to determine whether the total on the register is reasonable.
Answers
8.56 --> 9.00
6.30 --> 6.00
2.73 --> 3.00
5.25 --> 5.00
4.09 --> 4.00
7.95 --> 8.00
0.85 --> 1.00 (coupon)
2.10 --> 2.00 (coupon)
2.00 + 9.00 + 6.00 + 3.00 + 5.00 + 4.00 + 8.00 = $37.00 (item total)
1.00 + 2.00 = $3.00 (coupon total)
37.00 - 3.00 = $34.00
Actual: $41.44
Estimated: $34.00
It it off by $6.00, so I don't think it'd be reasonable.
answer to #10 and #13. can’t figure out how to use interval notation to write domain and range for graphs.
Answers
On the left, you start with left parenthesis or left bracket.
Then you follow by two numbers separated by a comma.
You then finish with a right parenthesis or right bracket.
To include a number, use a square bracket.
To exclude a number use parenthesis.
To write the set of numbers, you need to list the smallest number in the set followed by the largest number in the set. An interval is always stated with two numbers, from the smallest in the set to the largest in the set. The numbers are always separated by a comma.
Examples:
1) All numbers from 6 to 10, including 6 and 10.
Algebra: 6 <= x <= 10
Interval: [6, 10]
Notice brackets since both 6 and 10 are included in this interval.
2) All number from 5 to 20, including 5 but not including 20.
Algebra 5 <= x < 20
Interval: [5, 20)
Bracket with 5 means include 5. Parenthesis with 20 means 20 is not included.
3) All numbers greater than or equal to 7.
Algebra: x >= 7
Interval: [7, ∞)
The 7 has a bracket because it is included. Infinity always has parenthesis.
With the infinity symbol, always use parenthesis, not square bracket.
4) All numbers less than -5.
Algebra: x < - 5
Interval: (-∞, 5)
Now for your problems.
10.
This is a line. Both the domain and range all all real numbers.
That means the interval is from negative infinity to positive infinity.
(-∞, ∞)
Both the domain and range are that same interval, all real numbers, from negative infinity to positive infinity.
13.
The domain is all real numbers as you can see the x-coordinates extend left forever and right forever. The domain is the same interval as the domain and range of problem 10.
The range is zero and all positive numbers.
You can think of it a all values of y such that y is greater than or equal to zero. Notice that zero is included in the interval.
[0, ∞)
Since zero is included, we use a left bracket, not left parenthesis.
With infinity, we alyways use parentheses, not brackets.
Don't Put a Bad Words on your answer and you get a warning and report.
One of the rows in the table has an error and does not have the same ratio as the other rows.
Conversion Chart
Feet
Inches
Row 1
3
36
Row 2
6
72
Row 3
7
94
Row 4
9
108
Which explains how to correct the error in the table?
A.Row 1 should show 3 feet is equivalent to 32 inches.
B.Row 2 should show 6 feet is equivalent to 66 inches.
C.Row 3 should show 7 feet is equivalent to 84 inches.
D.Row 4 should show 9 feet is equivalent to 104 inches.
Answers
The function f(x) is shown in the graph.
What is the equation for f(x)?
Enter your answer in the box.
Answers
That's the answer I'm thinking
If angle a and angle b are complements and m angle a=36 degrees, what is angle b
Answers
Complementary angles add up to 90 degrees. Angle b can be found by subtracting the measure of angle a from 90 degrees.
Explanation:The question states that angle a and angle b are complements, and that the measure of angle a is 36 degrees. In mathematics, complementary angles are two angles whose measures add up to 90 degrees. So, if angle a is 36 degrees, angle b can be found by subtracting 36 from 90, which gives us 54 degrees. Therefore, angle b is 54 degrees.
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Every day a factory produces 5000 light bulbs, of which 2500 are type 1 and 2500 are type 2. if a sample of 40 light bulbs is selected at random on a particular day, and examined for defects, what is the approximate probability that this sample contains at least 18 light bulbs of each type?
Answers
solve the given problem 7y-84=2y+61
Answers
-2y -2y
5y - 84 = 61
+84 +84
5y = 145
y = 29
Geraldine is picking a four-digit password by using the digits 0 through 9. She can use each digit only once. How many different passwords are possible?
Answers
0-9 = 10 numbers
1st digit can be 1 0f 10
2nd digit can be 1 of 9
3rd digit can be 1 of 8
4th digit can be 1 of 7
10 * 9 *8*7 = 5040 different combinations
The number of different possible passwords are possible
Given that each digit can be used once, then:
The first digit can be any of the 10 digitsThe second digit can be any of the remaining 9 digitsThe third digit can be any of the remaining 8 digitsThe fourth digit can be any of the remaining 7 digitsSo, the number of passwords is:
n = 10 * 9 * 8 * 7
Evaluate the products
n = 5040
Hence, there are 5040 different possible passwords
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PLEASE ANSWER ASAP !!!
Answers
38+<1=180 degrees (<1 just represents angle one)
<1=180-38
<1=142 degrees
Therefore, the angle of 5 is 142 degrees as well.
Hope I helped :)
Luis deposited $500 into his bank account. He now has $4732. Write and solve an equation to find how much was in his account before the deposit.
Answers
Consider that 1 in=2.54 cm. if 1559 cm is converted to inches, how many significant figures should be in the answer
Answers
To convert 1559 cm to inches, divide by 2.54, and the result should be reported with the same number of significant figures as the given measurement, which is four. Thus, 1559 cm is equal to 613.8 inches.
Explanation:To convert 1559 cm to inches using the conversion factor 1 inch = 2.54 cm, we divide 1559 by 2.54. The number 1559 has four significant figures because all non-zero digits are considered significant. Since the conversion factor 2.54 cm per inch is exact and does not limit the number of significant figures, the result should also be reported with four significant figures.
The calculation would be as follows:
1559 cm ÷ 2.54 cm/in = 613.7795 inchesTo match the number of significant figures in 1559, we round the result to four significant figures.So, 1559 cm is equal to 613.8 inches when converted and properly rounded.
1. Find the zeros of the function.
f(x) = 9x2 + 6x - 8 (2 points)
a) -2 and 4
b) Negative two divided by three. and Four divided by three.
c) Two divided by three. and Negative four divided by three.
d) 2 and -4
2. Find the zeros of the function.
f(x) = 9x3 - 45x2 + 36x (2 points)
a) 0, 1, and 4
b) -1 and -4
c) 1 and 4
d) 0, -1, and -4
3. Find the zeros of the polynomial function and state the multiplicity of each.
f(x) = 4(x + 7)2(x - 7)3 (2 points)
a) 4, multiplicity 1; -7, multiplicity 3; 7, multiplicity 3
b) -7, multiplicity 3; 7, multiplicity 2
c) 4, multiplicity 1; 7, multiplicity 1; -7, multiplicity 1
d) -7, multiplicity 2; 7, multiplicity 3
4. Find a cubic function with the given zeros. (2 points)
Square root of five. , - Square root of five. , -7
a) f(x) = x3 - 7x2 - 5x - 35
b) f(x) = x3 + 7 x2 - 5x + 35
c) f(x) = x3 + 7x2 - 5x - 35
d) f(x) = x3 + 7x2 + 5x - 35
5. Expand the following using either the Binomial Theorem or Pascal's Triangle. You must show your work for credit.
(2x + 4)3
Answers
f(x) = (3x - 2)(3x + 4)
When (3x - 2) = 0, then x = 2/3
When (3x + 4) = 0, then x = -4/3
Answer: The zeros are two divided by three and negative four divided by three.
2. f(x) = 9x³ - 45x² + 36x
f(x) = 9x(x² - 5x + 4)
= 9x(x - 1)(x - 4)
When 9x = 0, then x = 0
When (x-1) = 0, then x = 1
When (x-4) = 0, then x = 4
Answer: 0, 1 and 4
3. f(x) = 4(x+7)²(x-7)³
When (x+7)² = 0, then x = -7 (twice)
When (x-7)³ = 0, then x = 7 (thrice)
Answer: 7, multiplicity 2; -7 multiplicity 3
4. The zeros of f(x) are √5, -√5, -7
The factors of f(x) are (x-√5)(x+√5)(x+7)
Note that (x-√5)(x+√5) = x² - (√5)² = x² - 5
f(x) = (x²-5)(x+7)
= x³ + 7x² - 5x - 35
Answer: f(x) = x³ + 7x² - 5x - 35
5. Expand (2x + 4)³
From Pascal's Triangle, the coefficients are 1 3 3 1
Therefore
(2x + 4)³ = 1(2x)³(4)⁰ + 3(2x)²(4)¹ + 3(2x)¹(4)² + 1(2x)⁰(4)³
= 8x³ + 48x² + 96x + 64
Answer: 8x³ + 48x² + 96x + 64
The diagram shows triangle KLM. Which term describes point N?
Answers
Answer:
C. Circumcenter.
Step-by-step explanation:
We have been given an image of a triangle KLM and we are asked to choose the term that describes point N.
We can see that point N is the point where perpendicular bisector of our given triangle are intersecting.
Since the point where the perpendicular bisectors of a triangle intersect is called circumcenter, therefore, point N is the circumcenter of our given triangle KLM nad option C is the correct choice.
A(n) __________ transformation preserves the size and shape of an object's original image; the image is congruent to the pre-image.
A. dilation
B. isometric
C. scale
D. non-isometric
Answers
The correct transformation that preserves the size and shape of an object, resulting in congruent images, is an isometric transformation. Examples include translation, rotation, and reflection, all of which maintain the object's proportions and dimensions.
A transformation that preserves the size and shape of an object's original image, such that the image is congruent to the pre-image, is known as an isometric transformation. This transformation includes operations like translation (a shift from one place to another), rotation (turning around a center), and reflection (flipping over a line). All these transformations keep the object's dimensions and proportions unchanged. The key property of isometric transformations is that they maintain congruency and preserve distances and angles.
An example of an isometric transformation is when a square is rotated 90 degrees around its center. The square's shape and size remain the same, even though its orientation has changed. This contrasts with dilation, which changes the size of the object, and affine transformations, which can alter both shape and size, such as through stretching or skewing. The correct answer to the student's question is B. isometric.
McDonald's has sold more than a billion hamburgers. If it were possible to eat a hamburger every minute of everyday (day and night) without stopping, how many years would it take to eat a billion hamburgers?
Answers
Find all angles θ between 0° and 180° satisfying the given equation. round your answer to one decimal place. (enter your answers as a comma-separated list.) sin(θ) = 3 4
Answers
We are given the equation:
sin θ = 3 / 4
To find for the value of θ, simply compute using the calculator:
θ = sin^-1 (3 / 4)
θ = 48.60° = θ1
To find for the other value, subtract the answer from 180°, so:
θ2 = 180° - 48.60°
θ2 = 131.40°
So the angles are 48.60° and 131.40°
The angles θ for which sin(θ) equals 3/4 between 0° and 180° are approximately 48.6° and 131.4°.
Explanation:The student's question relates to the topic of trigonometry. Specifically, finding the angles θ for which the sine equals 3/4. To answer this, in the first quadrant, we can use the arcsin function to get θ = arcsin(3/4). Using a calculator, θ ≈ 48.6°. In the second quadrant, the sine is still positive, so θ = 180° - arcsin(3/4) ≈ 131.4°. Thus, the solution is 48.6°, 131.4°. It's worth noting that using a calculator's arcsin function usually gives a result in the first quadrant (0° - 90°) so we have to calculate the second quadrant angle ourselves.
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Help?
The coordinates of the vertices of a polygon are (−2, −2) , (−2, 3) , (2, 4) , (3, 1) , and (0, −2) .
What is the perimeter of the polygon?
Enter your answer as a decimal, rounded to the nearest tenth of a unit, in the box.
Answers
if the population of state is 1,821,000 decreasing by 0.2% every year what will the population be in 5 years PLEASE PLEASE HELP
Answers
(Note 2% = 0.002 as a decimal fraction.)
Answer:
1,802,862.
Step-by-step explanation:
We have been given that the population of state is 1,821,000 decreasing by 0.2% every year. We are asked to find the population of state after 5 years.
We will use exponential decay function to solve our given problem.
[tex]y=a\cdot b^x[/tex], where,
y = Amount left after x years,
a = Initial amount,
b = For decay b is in form (1-r) where r represents decay rate in decimal form.
x = Number of years.
Let us convert our given rate in decimal form.
[tex]0.2\%=\frac{0.2}{100}=0.002[/tex]
Upon substituting our given values in above formula we will get,
[tex]y=1,821,000 \cdot(1-0.002)^5[/tex]
[tex]y=1,821,000 \cdot(0.998)^5[/tex]
[tex]y=1,821,000 \cdot 0.990039920079968[/tex]
[tex]y=1,802,862.69[/tex]
Since we can not have 0.69 of a person, therefore, we will round down our answer.
[tex]y=1,802,862.69\approx 1,802,862[/tex]
Therefore, the population of state after 5 years will be 1,802,862.
Find both unit rates.
$27 for 4 hours of work
A.
$6.75 per hour and 0.15 hours per dollar
B.
$108 per hour and 6.75 hours per dollar
C.
$6.75 per hour and 108 hours per dollar
D.
$0.15 per hour and 6.75 hours per dollar
Answers
$27 / 4 = 6.75 dollars per hour
4 / 24 = 0.148 = 0.15 hours per dollar
Answer is A
Vicky ran 5⁄14 of a mile and walked 1⁄7 of a mile. how much further did vicky run than walk?
Answers
We have 5/14 and 1/7
Let us change 1/7
Multiply 2/2 (a form of 1 so it does not change the value of the fraction)
2/2 • 1/7 = 2/14
Now subtract from 5/14
5/14 - 2/14 = 3/14
ANSWER: Vicky ran 3/14 of a mile more
The quotient of a number r and 7 is no more than 18. I cant find the equation part or the inequality
Answers
Answer:
The inequality would be r/7 ≤ 18 and the solution would be r ≤ 126
Step-by-step explanation:
We start by writing the inequality
r/7 ≤ 18
We know to use division between r and 7 since it asks for the quotient and we know to use a ≤ sign since it says "is no more than"
To solve, simply multiply both sides by 7
r ≤ 126
The inequality will be r/7 ≤ 18
Since it's a quotient, we'll need to divide the expression and this will be:
= r/7 ≤ 18
Now the value of r will be gotten thus:
r/7 ≤ 18
Cross multiply.
r ≤ 18 × 7
r ≤ 126
Therefore, this mean that the value of r will be 126 or numbers lower than 126
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