The perimeter of the regular polygon is 232
How to find the perimeter of the regular polygon?The side lengths of the regular polygon are given as
4/3x - 1/3 and x + 7
The sides of regular polygon are equal
So, we have:
4/3x - 1/3 = x + 7
Multiply both sides by 3
4x - 1 = 3x + 21
Collect like terms
4x - 3x = 1 + 21
Evaluate the like terms
x = 22
Substitute x = 22 in x + 7
Side = 22 + 7
Side = 29
The perimeter of the regular polygon is calculated as:
Perimeter = Number of sides x Side length
So, we have
Perimeter = 8 * 29
Evaluate
Perimeter = 232
Hence, the perimeter of the regular polygon is 232
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A business gained 50 new customers in April, 100 new customers in May, and 150 new customers in June. During that time, they were running a campaign with a budget of $3000. What was their Customer Acquisition cost?
Their Customer Acquisition cost was $10
What is customer acquisition cost?Customer Acquisition Cost is the cost of winning a customer to purchase a product or service. As an important unit economic, customer acquisition costs are often related to customer lifetime value. Customer acquisition cost can also be referred as the fee associated with convincing a customer to buy your product or service.
To calculate customer acquisition cost
Customer Acquisition Cost (CAC) = Customer Acquisition Cost/total marketing cost
From the question,
The business gained 50+100+150= 300 new customers
Campaign budget = $30000
Customer Acquisition Cost (CAC) = $3000/300
=$10
Hence, it cost the business $10 to acquire a new customer
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Nine less than the product of a number n and 1/6 is no more than 92
Answer:
Please help im on that 2dd
Step-by-step explanation:
dddd
Find the midpoint of the segment with the following endpoints.
(9, 2) and (5,5)
Answer:
(7,3.5)
Step-by-step explanation:
Midpoints
x = (x1 + x2)/2 = (9 + 5)/2 = 14/2 = 7
y = (y1 + y2)/2 = (2 + 5)/2 = 7/2 = 3.5
Gregoire sold 24 cars to his friend for $71.76. What was the price per car?
a. $47.76
b. $2.99
c. $17.22
d. $3.25
Answer:
2.99
Step-by-step explanation:
Take the total cost and divide by the number of cards
71.76/24 = 2.99
The cost per car is 2.99
Answer:
b. $2.99.
Step-by-step explanation:
To get the price per car, you get the total price divided by the total number of cars.
That would be 71.26 / 24 = 2.969166667, which is most close to b. $2.99. Those are some cheap cars!
Hope this helps!
let y1,y2 be independent random variables both having the uniform(0,1) distribution. re- call that the density function and distribution function of a uniform random variable y
A uniform random variable's density function is f(y) = 1 for y 1 and 0 otherwise. F(y) = 0 for y 0, F(y) = y for 0 y 1, and F(y) = 1 for y > 1 define the distribution function.
A uniform random variable's density function is f(y) = 1 for y 1 and 0 otherwise. Accordingly, the likelihood of any specific outcome of y is the same, and the likelihood of any range of outcomes is equal to the length of the range. F(y) = 0 for y 0, F(y) = y for 0 y 1, and F(y) = 1 for y > 1 define the distribution function. Accordingly, the length of the range multiplied by the likelihood of any specific occurrence yields the cumulative probability of any range of outcomes. Since the likelihood of any specific result in that range is 1 and the range's length is 0.5, for instance, the cumulative probability of 0 y 0.5 is 0.5. Since the likelihood of any given result within that range is still 1, but the range's length is 0.5, the cumulative probability of 0.5 y 1 is 0.75. The chance of any range of outcomes for y1 and y2 if they are independent random variables both having the uniform(0,1) distribution is just the sum of their respective cumulative probabilities.
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What is 3x +(-1) = -10 + 2x PLS HELP!!!
Answer:
x= -9
brainliest plssAnswer:
\(\boxed{\boxed{\tt x=-9}}\)
Step-by-step explanation:
\(\tt 3x+\left(-1\right)=-10+2x\)
\(\tt 3x-1=-10+2x\)
Subtract 2x from both sides:-
\(\tt 3x-1-2x=-10\)
Combine 3x and -2x to get x:-
\(\tt x-1=-10\)
Add 1 to both sides:-
\(\tt x=-10+1\)
Add -10 and 1 to get -9:-
\(\tt x=-9\)
____________________
Hope this helps you!
Have a great day!
Find the quotient of z₁ by z2. Express your answer in
trigonometric
form.
² - 3 (0 (4) + (*))
Z₁ cos
+/sin
Z₂
²2 = 7 (cos(377)+
COS
8
O A. 7 (cos (577) + i sin (5/77))
8
B.
21(cos(577)+isin (577))
8
OC. 21 cos
21(cos(-7)+ i sin(-77))
O D. 7 (cos(-7) + + sin(-7))
i
+/sin
37T
8
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.
Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.
We have:
z₁ = 7(cos(577°) + i sin(577°))
Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.
From the given information, we have:
z₂ = 21(cos(-7°) + i sin(-77°))
To find the quotient, we divide z₁ by z₂:
z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]
Substituting the given values, we have:
z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]
= (7/21) * [cos(584°) + i sin(584°)]
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.
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Listed below is a table showing the number of employees. 20 years or older by gender in the United states
The total number of workers that were studied can be found to be 139,340,000.
The percent of workers unemployed would be 5. 4 %.
Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.
How to find the employment figures ?Number of employed workers :
= 74,624,000 + 64, 716, 000
= 139,340,000
Percentage unemployed :
= ( 4, 209,000 + 3,314,000 ) / 139,340,000
= 5. 4 %
Percentage of unemployed men :
= 4,209,000 / 74,624,000
= 5.6 %
Percentage of unemployed women:
= 3,314,000 / 64, 716, 000
= 5. 1 %
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The full question is:
a. How many workers were studied?
b. What percent of the workers were unemployed?
c. Compare the percent unemployed for the men and the women.
Mary has $50.00. She goes to the mall and buys lipstick and then she buys shampoo, which is
half the price of the lipstick. She then spends half of what she has left on a purse, leaving her
with $15.00. How much did the shampoo cost? How much did the lipstick cost?
Answer:
Hey there!
Let x be the price of lipstick
Let 1/2x be the price of shampoo
1.5x=20
x=13.33
1/2x=6.67
The shampoo costed $6.67, and the lipstick costed $13.33
Let me know if this helps , or if you have any more questions :)
Answer:
Thank shampoo costed $7.50 and the lipstick costed $15
Step-by-step explanation:
So if you subtract 15 by 50 you get 35 dollars. Then if you divide 35 by 2 you get 15.5 but the .5 is no important right now. So that's how you get 15 dollars for the lipstick and the shampoo was $7.50. The purse was $12.50.
Ethan decides to type up some documents while waiting the meeting to start.He can type 2 pages every 1/8 hour.If the meeting started 3/4 hour later than the scheduled time,how many pages can he type before the meeting starts?
Answer: 4 pages
Step-by-step explanation:
To solve this problem, we need to use the formula:
Rate = Output/Time
Let's use "p" to represent the number of pages Ethan can type and "t" to represent the time he has before the meeting starts.
Rate = 2 pages/(1/8 hour) = 16 pages/hour
Since the meeting starts 3/4 hour later than the scheduled time, Ethan has t = 1 - 3/4 = 1/4 hour to type pages before the meeting starts.
Output = Rate * Timep = (16 pages/hour) * (1/4 hour) = 4 pages
Therefore, Ethan can type 4 pages before the meeting starts.
Answer: 4 pages
Solve for x leave your answer in simplest radical form
Answer:
X=11 trust me on my mom
Which graph represents the solution set to the system of inequalities?
{ Y ≤ 1/4X-2
Y ≥ −54X+2
ANSWER Down Below
The graph of the system of inequalities:
y ≤ (1/4)*x - 2
y ≥ −(5/4)x +2
Is in the image at the end.
Which is the graph of the system of inequalities?Here we have the system of inequalities:
y ≤ (1/4)*x - 2
y ≥ −(5/4)x +2
To graph this, we just need to graph both of the linear equations, and we need to shade the region below the first line (the one with positive slope) and the region above the second line, the one with negative slope.
Then the graph of the system of inequalities is the graph you can see in the image at the end of the answer.
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Create a Venn diagram to illustrate each of the following: 26. (D ⋃ E) c ⋂ F
The Venn diagram for (D ⋃ E) ⋃ F will be the ovarlapped region of D,E and F.
To represent the sets D, E, and F in the Venn diagram, we first construct three overlapping circles. Then, beginning with the innermost operation and moving outward, we shade the regions corresponding to the set operations in the expression.
We shade the area where the circles for D and E overlap because the equation (D ⋃ E) denotes the union of the sets D and E. All the elements in D, E, or both are represented by this area.
The union of (D ⋃ E) with F is the next step. This indicates that we darken the area where the circle for F crosses over into the area that we shaded earlier. All the components found in sets D, E, F, or any combination of these sets are represented in this region.
The final Venn diagram should include three overlapping circles, with (D ⋃ E) ⋃ F shaded in the area where all three circles overlap.
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What is the slope of the line?
Answer:
It could be 0, is the question multiple choice?
a horizontal line always has a slope of 0, now, for the sake of a silly proof, let's do some rigamarole to get it.
to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below
\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{7}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{7}-\underset{x_1}{(-3)}}} \implies \cfrac{0}{7 +3} \implies \cfrac{ 0 }{ 10 } \implies \stackrel{ }{\text{\LARGE 0}}\)
Please help 15 points
Answer:
12 %
Step-by-step explanation:
3/25 = 0.12
0.12 x 100 = 12
Answer:
12%
Step-by-step explanation:
3/25=0.12
0.12 turnes into 12%
Solve this put it in an equation and show your work
Answer:
\(y = -\frac{5}{2}x +30\)
Situation: You start out with $30 and spend $2.50 every day on a soda.
Step-by-step explanation:
The equation of a line is y = mx + b
b = y-intercept
m = slope, rise/run
The line crosses the y axis at 30, so b is 30
Now for the slope, rise/run.
Start at 30 on the y-axis and go down to 25, that is a rise of -5. Now you are at (0, 25) on x-axis. Move right to the point (2, 25). The run is 2.
m = -5/2
The equation of the line is y = -5/2x + 30
Select the number that round to 387.4 when rounded to the nearest tenth.
A. 387.461
B. 387.344
C. 387.309
D. 387.352
E. 387.779
Answer:
D
Step-by-step explanation:
When rounding, the number 5 is rounded up. So the number 387.352 will be rounded up 387.4. Other options are not suitable. Correct answer is "D"
If you think my answer is the best, please mark it as the Brainliest.
Thank you! :))
38. Which of the following describes a median of a triangle? (1 point)
a segment drawn from a vertex to the midpoint of the opposite side
a segment drawn from the vertex perpendicular to the line containing the opposite side
a segment drawn through the midpoint of a side and at a right angle to the side.
segment drawn from the center of an angle to the side opposite.
A statement that describes the median of a triangle include the following: A. a segment drawn from a vertex to the midpoint of the opposite side.
What is a triangle?In Mathematics and Geometry, a triangle is a two-dimensional geometric shape that comprises three sides, three vertices and three angles only.
In Mathematics and Geometry, the median of a triangle can be defined as a line segment with end points that is typically drawn from a vertex to the midpoint of the opposite side of the triangle.
In this context, we can logically deduce that a line segment with end points at the vertex and the midpoint of the triangle's opposite side simply refers to the median of a triangle.
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The diagram shows a prism. Draw the front and side elevation of the prism on the grid. Use the scale 2 squares to 1m.
I know that the side elevation is correct but I can't get the front. Please help!
The sketch of the front elevation and the side elevation of the prism are added as an attachment
How to draw the front elevation and the side elevation of the prismFrom the question, we have the following parameters that can be used in our computation:
The prism
Using the figure as a guide, we understand that:
The front elevation is a rectangle of 2m by 0.5m
While the side elevation is a rectangle merged with a trapezoid
Next, we draw the elevations (see attachment)
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Nadia needs 3/4 cup of orange juice for a punch recipe. She will double the recipe to make
punch for a party. Which statement is true?
Answer:
she will be using more orange juice
Answer:
she will be using more orange juice
please help me with i’ll give you brainlist
The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median.
What is whisker plot?A whisker plot, also known as a box and whisker plot, is a graphical representation of a set of numerical data through their quartiles. The plot consists of a box with whiskers extending from the top and bottom, showing the spread and distribution of the data. The five-number summary, which includes the minimum value, first quartile (Q1), median, third quartile (Q3), and maximum value, is used to create the whisker plot.
Here,
To create a box and whisker plot, we need to find the five-number summary of the data set, which includes:
Minimum value: the smallest value in the data set.
First quartile (Q1): the median of the lower half of the data set.
Median: the middle value in the data set.
Third quartile (Q3): the median of the upper half of the data set.
Maximum value: the largest value in the data set.
First, we need to put the data in order:
10, 12, 14, 15, 16, 18, 22, 24, 25, 28
The minimum value is 10 and the maximum value is 28.
The median is the middle value, which is 18.
To find the first quartile, we need to find the median of the lower half of the data set, which is:
10, 12, 14, 15, 16
The median of this lower half is 14.
To find the third quartile, we need to find the median of the upper half of the data set, which is:
22, 24, 25, 28
The median of this upper half is 24.
So, the five-number summary for this data set is:
Minimum value = 10
First quartile (Q1) = 14
Median = 18
Third quartile (Q3) = 24
Maximum value = 28
Now we can use this information to create the box and whisker plot:
| |
----+----+----+----+----
10 14 18 24 28
The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median. The whiskers extend from the box to the minimum and maximum values in the data set.
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arccsc(\(\frac{2}{3}\)\(\sqrt{3}\))
The arc cossecant of the given value is of 30º.
Cosecant and arc cosecantThe cosecant of an angle is given by the ratio between 1 and the sine of the angle, as follows:
cos(x) = 1/sin(x)
The arc cossecant of an angle is represented by the expression arc csc(x), and represents the inverse of the cossecant, that is, it is the angle which has a cosecant of x.
In this problem, the arc cossecant that is asked is:
\(\arccsc{\left(\frac{2}{3\sqrt{3}}\right)}\)
Basically, it asks for the angle which has a cossecant value of 2/(3sqrt(3)). This angle is found using a calculator, and it is of 30º.
Hence the numeric value of the expression is presented as follows:
\(\arccsc{\left(\frac{2}{3\sqrt{3}}\right)} = 30^\circ\)
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Bella measured the heights of her corn stalks in centimeters. The heights are 81,88,69,65,87.
What is the mean height of Bella’s. Corn stalks?
Answer:
78 cm should be the correct answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
78 cm
what is 6 ÷ ⅓ 1/18 1/2 12 18
Answer:
18
Step-by-step explanation:
\(\frac{6}{1/3} =\frac{6*3}{1} \\=18\)
Rotation 180 about the origin?
The figure after the transformation is added as attachment
How to determine the image of the shape after rotationFrom the question, we have the following parameters that can be used in our computation:
A(-1, -2) , B(-4, 2), C(1, 4) and D (3, 0)
Also, we have
The transformation = rotation 180 about the origin
To perform a rotation of 180 degrees about the origin on a figure,
We need to add negate the x-coordinate And also negate the y-coordinate of each point.i.e.
(x, y) = (-x . -y)
So, we have
A(1, 2) , B(4, -2), C(-1, -4) and D (-3, 0)
See attachment for the figure
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Is the answer correct in this question
Answer:
Yeah, you got the answer right.
Step-by-step explanation:
Find the polar coordinates of rectangular coordinates (-√2,1). Limit θ to the interval [0,2pi) and round 2 dceimal places if needed
The point (-√2,1) can also be represented as (√3, 5.18) in polar coordinates.
To find the polar coordinates of the rectangular coordinates (-√2,1), we can use the following formulas:
r = √(x² + y²)
θ = tan^⁻1(y/x)
Plugging in the given values of (-√2,1), we get:
r = √((-√2)² + 1²) = √(2 + 1) = √3
θ = tan^⁻1(1/(-√2)) ≈ 2.0344 radians
Note that since the point (-√2,1) is in the second quadrant, we need to add π to the value of θ obtained from the inverse tangent in order to obtain an angle in the interval [0,2π). Thus, we have:
θ ≈ 2.0344 + π ≈ 5.1779 radians
Rounding to 2 decimal places as needed, we get the polar coordinates of (-√2,1) as (r,θ) ≈ (√3, 5.18).
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A house plan shows a scale of 1:40. If the rectangular lounge room of the house is to measure 4.5 metres by 6.3 metres, What are the dimensions of the room on the plan?
Answer:
.112 m by .157m OR 4.43 by 6.20 in
Step-by-step explanation:
The scale is 1:40, meaning that if the house plan shows 1 of something, the real life version is 40 times larger. Given this information:
4.5 m by 6.3 m is the ACTUAL SIZE.
Given this, we need to divide by 40 to get the room PLAN.
0.1125 by 0.1575 meters, OR 4.42913386 by 6.2007874 inches.
Simplifed,
.112 m by .157m OR 4.43 by 6.20 in
:)
Which set of numbers includes only whole numbers? Rational Numbers Integers Whole Numbers 7. -4, 5.0
Answer:
2, 5, 8, 15
Step-by-step explanation:
The set of whole numbers is: 0, 1, 2, 3, ...
It includes zero but no negative numbers.
Answer: 2, 5, 8, 15
An arrow is shot vertically upward at a rate of 210 feet per second. Use the projectile formula
h = −16t2 + v0t
to determine at what time t (in seconds) the height of the arrow will be 300 feet.
Answer:
The arrow is at a height of 500 feet at time t = 2.35 seconds.
Step-by-step explanation:
It is given that,
An arrow is shot vertically upward at a rate of 250 ft/s, v₀ = 250 ft/s
The projectile formula is given by :
\(h=-16t^{2} +vot\)
We need to find the time(s), in seconds, the arrow is at a height of 500 ft.
So,
\(-16t^{2} +250t=500\)
On solving the above quadratic equation, we get the value of t as, t = 2.35 seconds
So, the arrow is at a height of 500 feet at time t = 2.35 seconds. Hence, this is the required solution.
Answer:
An arrow is shot vertically upward at a rate of 210 feet per second. Use the projectile formula
h = −16t2 + v0t
to determine at what time t (in seconds) the height of the arrow will be 300 feet.
Step-by-step explanation:
GIVE THAT OTHER GUY BRAINLIEST!!!!!!