The measure of each exterior angle of a regular eneagonal is given as follows:
40º.
How to obtain the sum of the exterior angles?An exterior angle of a polygon is defined as the angle between a side and its adjacent extended side.
The exterior angle theorem states that the sum of the measures of the exterior angles of any polygon is of 360º.
For a regular polygon, the angle measures are equal. A regular eneagonal has nine exterior angles, hence the measure of each angle is given as follows:
360/9 = 40º
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Feeling anxious about another pandemic induced run-on toilet paper, Jessica is making room in a closet for hording toilet paper. Using the Fermi process, she wants to estimate the number of rolls of toilet paper she can fit into a rectangular section of a closet with dimensions of length 57 inches by width 57 inches by height 63 inches. One Angel Soft MEGA roll has diameter 6 inches, height 5 inches.
What is the volume of the closet space?
What is the volume of one roll of toilet paper?
Use 3.14 for π and round to the nearest whole number
How many rolls of Angel Soft MEGA toilet paper can be fit into the closet space?
The volume of the closet space = 207,936 in³
The volume of the one roll of toilet paper = 141.3in³
How to calculate the volume of the closet?To calculate the volume of the closet, the formula that should be used is the formula for the volume of a rectangle = length×width×height.
Where;
length = 57 in
width = 57
height = 64
volume = 57×57×64 = 207,936 in³
The volume of the toilet paper with the shape of a cylinder would be = πr²h
where;
radius = diameter/2= 6/2=3in
height = 5 in
volume of cylinder = 3.14×3×3×5 =141.3in³
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Explain your answer to the question in the picture with steps please, thank you.
Part (a)
Answer: Constant of proportionality = 5/8
Reason:
The general template equation is y = kx where k is the constant of proportionality. It is the slope of the line.
The direct proportion line must pass through the origin. In other words, the y intercept must be zero.
=====================================
Part (b)
Answer: Not Proportional
Reason:
The y intercept isn't zero.
Plug x = 0 into the equation to find y = 1 is the y intercept. This graph does not pass through the origin.
find the exact value of x. 45 degree and 10 side
Answer:
The exact value of the other leg is 10.
Step-by-step explanation:
Finding the exact value of x given a 45 degree angle and a side length of 10 can be done using trigonometry. In a 45-45-90 right triangle, the two legs are congruent and the hypotenuse is equal to the square root of 2 times the length of the legs.
Therefore, if one leg is 10, the hypotenuse is 10 times the square root of 2. To find the length of the other leg, we can use the Pythagorean theorem:
c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the legs of the right triangle.
Substituting known values, we get:
(10√2)^2 = 10^2 + b^2
200 = 100 + b^2
b^2 = 100
b = 10
Therefore, the exact value of the other leg is 10.
Workout the median 6266 6626 6622 6226 6662 6222 7466
Answer:
Step-by-step explanation:
the median would be 2,2 just the middle number/numbers if it has 1 # thats the median if it has 2 thats still the median
7 numbers middle is 6226
Need help on this question pls help!!!!!!!
£6846 is shared equally between 7 people. How much does each person get?
Answer:
£978
Step-by-step explanation:
i did use a calculator so i don't know if this is wrong or not, sorry if it is.
On a piece of paper graph f(x) = 3x. Then determine which answer choice matches the graph you drew
Answer:
--
Step-by-step explanation:
Show all the options please
Not able to see all options
if the mean of x,x+3,x-5,2x and 3x then find the value of x
The Value of x is 2/3.
The value of x, we need to determine the mean of the given values and set it equal to the expression for the mean.
The mean (average) is calculated by adding up all the values and dividing by the number of values. In this case, we have five values: x, x+3, x-5, 2x, and 3x.
Mean = (x + x+3 + x-5 + 2x + 3x) / 5
Next, we simplify the expression:
Mean = (5x - 2 + 3x) / 5
Mean = (8x - 2) / 5
We are given that the mean is also equal to x:
Mean = x
Setting these two expressions equal to each other, we have:
(x) = (8x - 2) / 5
To solve for x, we can cross-multiply:
5x = 8x - 2
Bringing all the x terms to one side of the equation and the constant terms to the other side:
5x - 8x = -2
-3x = -2
Dividing both sides by -3:
x = -2 / -3
Simplifying, we get:
x = 2/3
Therefore, the value of x is 2/3.
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How many cups of yellow paint should you mix with 1 cup of blue paint to make the same shade of green? 2) Add a new a pair of numbers to the table that would make the same shade of green. cups of blue paint cups of yellow paint 2 10 1
Answer:
Step-by-step explanation:
The graph of a cube root function f is shown.
The graph of g is a vertical shrink by a factor of 1/2 of the graph of f. Graph the function g.
A graph of the cube root function g(x) = 1/2x³ is shown in the image below.
What is a dilation?In Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.
This ultimately implies that, the dimension (size) or side lengths of the dilated geometric object would be stretched or shrunk depending on the scale factor that is applied.
When the parent cube root function f(x) = x³ is vertically shrunk by a scale factor of 1/2, the transformed function g(x) is given by;
g(x) = kf(x)
g(x) = 1/2f(x)
g(x) = 1/2x³.
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I need help on this problem please?
Answer:
yes ur friend is correct
Step-by-step explanation:
because the value of x .
The diagram only shows that angles M and B are supplementary ( add up to 180 degrees) and that angel 4x is adjacent to angel M.However, there is no information about the measure of angle B or angel M, so we cannot determine the value of x
Consider the original triangle and the reduction.
A triangle has a base A and height 8 centimeters. Another triangle has a base of 3 centimeters and height of 4 centimeters.
What is the length of side A in centimeters?
6 cm.
Explanation:
Since they've given use the area of the triangle, we can use the area formula to find the base of the triangle.
The formula to find the area of a triangle is:
a
=
1
2
h
b
→
(
h = height
,
b= base
)
We know:
a
=
24
h
=
8
So we can substitute them in and find
b
:
24
=
1
2
(
8
)
b
Multiply by sides by 2 and then divide:
24
×
2
=
1
2
(
8
)
b
×
2
48
=
8
b
6
=
b
The base of the triangle is
6 cm.
ur welcome ♥️♥️
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.
The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.
The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.
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DUE SOON!
PLEASE HELP EXPLAIN THIS IM SO CONFUSED!
Answer:
$20.44
Step-by-step explanation:
The average of a set of numbers is defined as:
\(\dfrac{\textrm{sum of values}}{\textrm{number of values}}\)
In this problem, we are shown a table where each row has a coupon value in the left column and the number of that coupon value in the right column (e.g., if we look at the top row, we can see there are 70 coupons each valued at $10).
So, the sum of values in this problem (i.e., the total number of dollars given out by the store in the form of coupons) is defined as the sum of the product of each row.
\(\textrm{sum of values} = (\$10 \times 70) + (\$20 \times 40) + (\$40 \times 20) + (\$60 \times 4) + (\$120 \times 2)\)
\(\textrm{sum of values} = \$700 + \$800 + \$800 + \$240 + \$240\)
\(\textrm{sum of values} = \$2780\)
The number of values in this problem is just the sum of the numbers in the right column (i.e., the number of coupons given out).
\(\textrm{number of values} = 70 + 40 + 20 + 4 + 2\)
\(\textrm{number of values} = 136\)
Finally, to answer the problem, we can plug the two numbers that we just solved for into the formula for the average of a set.
\(\textrm{average savings} = \dfrac{\textrm{value of all tickets}}{\textrm{number of tickets}}\)
\(\textrm{average savings} = \dfrac{\$2780}{136}\)
\(\textrm{average savings} \approx \$20.44\)
A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below.
A graph for p of x is a downward open parabola with its vertex at (5, 725) and passes through the points (negative 10, 0), and (20, 0).
Use the graph to complete each statement about this situation.
The maximum profit the florist will earn from selling celebration bouquets is $.
The florist will break-even after one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is ( , ).
Answer:
The maximum profit the florist will earn from selling celebration bouquets is $725.
The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.
Step-by-step explanation:
Find the value of the expression.
Answer:
0
Step-by-step explanation:
((3/5 ^0)^-2)
3/5^0=0
0^-2= 0
57 ÷ (9 + 3) – 8
who knows the anwser
Members of a charity group are having a bake sale. They plan to sell chocolate chip
cookies and brownies. They expect to sell
at most a total of 600 items and that at
least three-fourths of the items sold will be brownies.
Which graph shows the possible numbers of cookies and brownies they expect to
sell?
Answer:the first one
Step-by-step explanation: trust me I got u
The graph that shows the possible numbers of cookies and brownies they expect to sell is the first graph.
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,
Number of chocolate chip cookies = x
Number of brownies = y
Total number of items at most = 600
Now,
x + y = 600 ____(1)
The number of possible brownies.
y ≥ 3/4 x 600
y ≥ 3 x 150
450 ≤ y ≤ 600 _____(2)
The number of possible cookies.
0 ≤ x ≤ 150 _____(3)
Now,
Graphing (1), (2), and (3) we get the first graph.
Thus,
The possible number of cookies and brownies they can sell is
450 ≤ brownies ≤ 600 and 0 ≤ cookies ≤ 150
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A local congressman must decide whether or not to vote for a bill to reduce the speed limit.
Supporters of the bill claim that the gas mileage improves at lower speeds! The congressman was given the data about the Toyota Camry gas usage - presented in the table below. (Picture Attached.)
Note: MPG stands for miles per gallon of gas.
IDENTIFY THE INDEPENDENT VARIABLE FIR THIS DATA AND WHY.
The independent variable in this data is the speed of the car. This is because the congressman is trying to determine whether or not the gas mileage improves at lower speeds.
How to explain the variablesThe dependent variable is the gas mileage, because it is the variable that is being measured and that is affected by the independent variable.
The other variables in this data are the weight of the car, the type of engine, and the year of the car. However, these variables are not being changed in this experiment, so they are not considered to be independent variables.
The data shows that the gas mileage of the Toyota Camry improves as the speed of the car decreases. This supports the claim of the supporters of the bill to reduce the speed limit.
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Please Help Marked for all my points and will Brainliest
Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.
π,√6,2√6,√7
(a) Without using your calculator, approximate the decimal equivalent of each number to the nearest tenth.
(B) Order the ribbon sizes from least to greatest.
The requreid,
(a) Approximate values of the given numbers are π ≈ 3.1, √6 ≈ 2.4, 2√6 ≈ 4.8, and √7 ≈ 2.6.
(b) √6 < √7 < π < 2√6
(a)
π ≈ 3.1 (since π is between 3 and 4, and is closer to 3.1 than to 3.2)
√6 ≈ 2.4 (since 6 is between 4 and 9, and the square root of 6 is closer to 2.4 than to 2.5)
2√6 ≈ 4.8 (since 2√6 is approximately twice the value of √6, which is 2.4)
√7 ≈ 2.6 (since 7 is between 4 and 9, and the square root of 7 is closer to 2.6 than to 2.7)
(b)
Order from least to greatest:
√6 < √7 < π < 2√6
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Which of the following equations are true? Select all that apply. (Source: Grade 8 Testlet, March 2016) (**Choose carefully, answer choices maybe out of order)
HELP PLEASE NOWWWWWWWWWWWWWWWWWWWWWW IT ON A TEST
Answer:
A.), C.), D.) are true
Step-by-step explanation:
Use the properties of exponents.
Is this or is this not a function?
Answer:
This is not a function
Step-by-step explanation:
Assuming that the line in question is parallel with the y axis, by using the line test we can see that the line is not a function. The line test is where you draw straight lines going vertically over the graph and if the lines touch the figure in question more than once that means it's not a function.
This can also be proved by imagining there are 2 different points on the line in question. Since the line is straight vertically that means that the points will share the same x value for different y values, which makes it not a function
Answer:
This is not a function.
Step-by-step explanation:
The questioned parallel line within the y-axis does not meet the requirements to be a function. The line test, as the other person stated, is a test where lines are drawn over the points to determine if the graph / model is, or is not a function. Doing so in this process, if the lines touch the same point more than once, that means the graph is not a function.
Please help me !! I need help asap
In given fractions 8/9 is 1/36 large than 31/36
Comparing Fractions:Finding the larger and smallest fraction in between two or more fractions is known as comparing fractions.
We need to change fractions with unlike denominators into fractions with similar denominators in order to compare them. For this, we will find the denominators' Least Common Multiple (LCM).
If the denominators are the same then it is easy to compare the fractions.
Here we have
31/36 and 8/9
To find the largest fraction convert both denominators into the same
Here LCM(36, 9) = 36
Now multiply both numerator and denominators of fractions with a number to change the denominators
=> \(\frac{31}{36} \times \frac{1}{1} = \frac{31}{36}\)
=> \(\frac{8}{9} \times \frac{4}{4} = \frac{32}{36}\)
From the above calculations given fractions are 31/36 and 32/36
Difference = \(\frac{32}{36} - \frac{31}{36} = \frac{1}{36}\)
Therefore,
In given fractions 8/9 is 1/36 large than 31/36
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Can you please help me
Answer:
-17 (I believe)
Step-by-step explanation:
If x = 64 then the first one is asking for the square root of 64 (8)
With y being 25 the second part of this problem is actually really easy, all its doing is getting the square root and then squaring it (doing nothing at all) so that would just be 25 which would make it
8-25 which would be -17
8 minus the sum of 5 and 43 divided by 8
helpppppp
it's not -5 i tried did not work
HELPPP
And its not 8.375
Answer:
-2.375
Step-by-step explanation:
43/8=5.375
5+5.375=10.375
8-10.375=-2.375
y=3x-4
4x+3y=1
Sole by substitution
Answer:
4x+3(3x-4)=1
4x+9x-12=1
13x=13
x=1
The mark up of 40% is nullified by giving some discount on Rs. 980. Find the amount of mark up
The amount of markup if markup to 40% is nullified by giving some discount of Rs. 980 is Rs 280.
What is mark up?The markup, expressed as a percentage of cost, is the difference between a product's selling price and its cost.
Given:
The markup of 40%
Let's Assume the cost price = Rs 100C
Calculate the markup as shown below,
Mark up = (40 / 100) 100C = Rs 40C
Marked price = 100C + 40C = Rs 140C
Hence, 140C = 980
C = 7
Thus, markup price = 7 × 40 = Rs 280
Therefore, the amount of markup if markup to 40% is nullified by giving some discount of Rs. 980 is Rs 280.
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Help ASAP!!!!!!!!!!!!!!
Which expression represents the difference when (x^3+3x^2+5x-7) is subtracted from (2x^2-x+1)
Answer choices
1.) -x^3-x^2-6x+8
2.) -x^3-x^2-4x-8
3.) x^3-x^2-6x-8
4.) x^3-x^2-6x+8
Answer:A
Step-by-step explanation:
Pleaseeee helppp in class ASAP!!!
Answer: 678
Step-by-step explanation: ii
Find the product.
(–12 - n)2
Answer:
n^2 +24n +144
Step-by-step explanation:
(-12-n)^2
(-12-n)(-12-n)
144+12n+12n+n^2
n^2 +24n +144
i think... :)