The area of the regular hexagon with apothem 3√3 mm is approximately 125 mm². (option d)
The area of a regular hexagon can be found using the formula:
Area = (3√3 × s²) ÷ 2
Where s is the length of one side of the hexagon, and 3√3 is the apothem.
To solve for the area, we need to find the value of s. We can do this by using the fact that a regular hexagon can be divided into six equilateral triangles, and each of these triangles has sides equal to s.
The height of each equilateral triangle is equal to the apothem, which is 3√3 mm in our case. Using the Pythagorean theorem, we can find the length of one side of the hexagon:
s = 2 × (3√3) ÷ √3
s = 6
Now that we know the value of s, we can substitute it into the formula for the area of a regular hexagon:
Area = (3√3 × 6²) ÷ 2 = 125
Hence the correct option is (d).
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find the area of the figure? 18ft 36ft
Answer:
648ft
Step-by-step explanation:
18 multiplied by 36 is 648
Answer:
648 ft ^2
Step-by-step explanation:
A = L * W A = 18 ft * 36 ft A = 648 ft^2
The resulting number is the area of the rectangle, which is expressed in square units. So the area of the figure is 648 square feet
If two cubes have edges of 2 ft and 4 ft, what is the ratio of their surface areas?
Answer:
1/4
Step-by-step explanation:
You want to purchase a new car
In 9 years and expected the car to cost $15,000. Your bank offers a plan a guaranteed APR of 6.5% .
If you make regular deposits.
How much should you deposit each month to end up $15,000 in 9 years ? 
The approximate amount to be deposited each month at a guaranteed APR of 6.5% that will accrue to $15,000 in 9 years is $97.57.
Future value for an annuityIn order to find out how much you should deposit each month to end up with $15,000 in 9 years, we can use the future value formula for an annuity:
FV = PMT * [(1 + r)^n - 1] / r
where:
FV is the future valuePMT is the deposit amountr is the monthly interest raten is the total number of deposits (in months).The total number of deposits, n, is the number of months in 9 years:
n = 9 * 12 = 108
The monthly interest rate from the annual percentage rate (APR):
r = (1 + 0.065/12) - 1 = 0.0054166667
Let's substitute the values and solve for PMT:
15,000 = PMT * [(1 + 0.0054166667)^108 - 1] / 0.0054166667PMT = 15,000 / [(1 + 0.0054166667)^108 - 1] * 0.0054166667PMT ≈ $97.57Therefore, you should deposit approximately $97.57 each month to end up with $15,000 in 9 years, assuming a guaranteed APR of 6.5%.
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A circular cone has a height of 11 centimeters and a diameter of 7 centimeters. What is the approximate volume, in cubic centimeters, of the cone?
Answer:
V = (1/3)π(3.5)^2(11)
V ≈ 134.64 cubic centimeters
Simplify:
Please see the attachment.
Answer:
Step-by-step explanation:
[tex]\frac{9\sqrt{x} -6}{\sqrt{x} +7} \times \frac{\sqrt{x} -7}{\sqrt{x} -7} \\=\frac{9(x)-63\sqrt{x} -6\sqrt{x} +42}{(\sqrt{x} )^2-7^2} \\=\frac{9x-69\sqrt{x} +42}{x-49}[/tex]
Solve the matrix please
I don't think it can be solved
Both the rows and columns should be equal I guess
Dixon and his little sister Ariadne stand next to each other on the playground on a sunny afternoon. Their mother measures their shadows. Ariadne's shadow is 6 feet long and Dixon's shadow is 9 feet long. If Dixon is 6 feet tall, how tall is Ariadne?
Answer: 4
Step-by-step explanation:
We can use the proportion. We already know that Dixon is 6 ft tall and that his shadow is 9 ft long. Also we know that the shadow of his sister is 6 ft long. 6 : x = 9 : 6, or 6 / x = 9 / 6. After that we will cross multiply : 9 * x = 6 * 6, 9 x = 36 , x = 36 : 9, x = 4. Answer: Ariadne is 4 feet tall.Hope I helped! :) Cheers!
Please help I'm studying my next grade.
63+48÷(23-12)x81
Answer:
416.16
Step-by-step explanation:
First, solve the parenthetical expression (23-12) which equals 11. Next, use the order of operations to perform the multiplication and division from left to right: 48 ÷ 11 = 4.36 and 4.36 x 81 = 353.16. Finally, add this result to 63 to get the final answer: 63 + 353.16 = 416.16. Therefore, the solution is 416.16.
A lock has a 3-number code made up of 12 numbers. If none of the numbers are allowed to repeat, how many different ways can you choose three different numbers in order for a unique code?
suppose a company's revenue increased by 4.65% over tyhe previous year. Assuming this trend continues, which expression could the company use to ampproximate the percent increase in revenue through a certain number of months, m?
The correct expression for the company use to approximate the percent increase in revenue through a certain number of months, m is,
⇒ [tex]A = P (1 .0465 )^m[/tex]
We have to given that;
A company's revenue increased by 4.65% over the previous year.
We know that;
Formula is,
[tex]A = P (1 + \frac{r}{100} )^m[/tex]
Where, A = final amount
P = principal amount
r = rate
m = time in months
So, The correct expression for the company use to approximate the percent increase in revenue through a certain number of months, m is,
⇒ [tex]A = P (1 + \frac{r}{100} )^m[/tex]
⇒ [tex]A = P (1 + \frac{4.65}{100} )^m[/tex]
⇒ [tex]A = P (1 + 0.0465 )^m[/tex]
⇒ [tex]A = P (1 .0465 )^m[/tex]
Thus, the correct expression for the company use to approximate the percent increase in revenue through a certain number of months, m is,
⇒ [tex]A = P (1 .0465 )^m[/tex]
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Please help! Will mark brainliest for correct answer!
Vector C is 3.5 units West and Vector D is 3.3 units South. Vector R is equal to Vector D - Vector C. Which of the following describes Vector R?..
8.3 units 54
South of East
8.3 units 54circ South of East
4.8 units 47
East of South
4.8 units 47circ East of South
6.2 units 32
West of South
6.2 units 32circ West of South
5.9 units 52
South of West
The Vector R will be 4.8 units in the direction of East of South. Then the correct option is B.
Given that:
Vector C is 3.5 units West
Vector D is 3.3 units South
The quantity which has magnitude, and direction, and follows the law of vector addition is called a vector.
Vector R is equal to Vector D - Vector C. Then we have
Vector R = Vector D - Vector C
Vector R = 3.3 units South - 3.5 units West
Vector R = 3.3 units South + 3.5 units East
Vector R = √((3.3)² + (3.5)²)
Vector R = 4.8 units
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please help im begging
The correct statements regarding the solutions of the quadratic function is given as follows:
Two complex solutions.
What is the discriminant of a quadratic equation and how does it influence the solutions?A quadratic equation is modeled by the general equation presented as follows:
y = ax² + bx + c
The discriminant of the quadratic function is given by the equation as follows:
Δ = b² - 4ac.
The numeric value of the coefficient and the number of solutions of the quadratic equation are related as follows:
Δ > 0: two real solutions.Δ = 0: one real solution.Δ < 0: two complex solutions.The function for this problem is given as follows:
y = 2x² - 8x + 10.
The coefficients are given as follows:
a = 2, b = -8 and c = 10.
Hence the discriminant is given as follows:
Δ = (-8)² - 4 x 2 x 10
Δ = 64 - 80
Δ = -16.
Negative discriminant, hence the equation has two complex solutions.
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What is the degree of vertex B
The degree of vertex B is 3.
Given is a figure we need to find the degree of vertex of point B,
So, the degree of a vertex is the line segment connected by it,
The point B is connected by three segment, FB, AB, CB.
Hence, the degree of vertex B is 3.
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A woman earns $2000 per month and budgets $220 per month for food. What percent of her monthly income is spend on food?
Answer:
1.1 percent of her monthly income is spent on
Step-by-step explanation:
In 4 MNO if MN = 5 cm, NO = 6 cm and MO = 7 cm, find: a the area of A MNO. b the length of the shortest altitude.
The area of the triangle MNO is 14.7 sq cm and the shortest altitude is 2.1 cm
Finding the area of the triangle MNOFrom the question, we have the following parameters that can be used in our computation:
MN = 5 cm, NO = 6 cm and MO = 7 cm
So, we have
s = 1/2 * (5 + 6 + 7)
Evaluate
s = 9
The area is then calculated as
Area = √[s(s - MN)(s - NO)(s - MO)]
Substitute the known values in the above equation, so, we have the following representation
Area = √[9 * (9 - 5)(9 - 6)(9 - 7)]
Evaluate
Area = 14.7
Also, we have
Shortest altitude = 14.7/7
Shortest altitude = 2.1
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Select all the expressions that are equivalent to 24a – 6.
12(48a−12)
1
2
48
a
-
12
–3(2a + 2) + 18a
3(–2 + 8a)
–6(2 – a) + 18a + 6
2(10a − 4) + 0.25(8a)
The expressions that are equivalent to 24a - 6 are 1/2(48a - 12) and -3(2a + 2) + 18a
Let's start with the first expression,
=> 12(48a - 12).
We can distribute the 12 to get
=> 576a - 144.
This expression is not equivalent to 24a - 6 since 576a - 144 cannot be simplified to 24a - 6.
Moving on to the second expression,
=> 1/2(48a - 12) = 24a - 6.
This expression is equivalent to 24a - 6 since it simplifies to the same expression.
The fourth expression,
=> -3(2a + 2) + 18a
can be simplified by distributing the -3 to get
=> -6a - 6 + 18a.
Combining like terms, we get
=> 12a - 6.
This expression is equivalent to 24a - 6 since it simplifies to the same expression.
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what's 2/3 times 6+2/3 times 2
Answer:
5 1/3
Step-by-step explanation:
2/3 x 6 + 2/3 x 2
2/3 x 6 = 12/3
2/3 x 2 = 4/3
12/3 + 4/3 = 16/3
16/3 = 5 1/3
A city has two internet service providers, Charter and Xfinity, with the market share of 30% and
70% respectively. At any given time, the internet speed experienced by a customer of Charter is
between 7Mbps and 15Mbps with all speeds being equally likely. At any given time, the internet
speed experienced by a customer of Xfinity is between 10Mbps and 20Mbps with all speeds being
equally likely. If an internet customer in the city is currently experiencing an internet speed of
12Mbps, what is the probability that the customer is served by Charter?
The probability that the customer is served by Charter with market share of 30% is equal to 34.9%.
Let A be the event that the customer is served by Charter,
and B be the event that the customer is experiencing an internet speed of 12Mbps.
Probability of A given B, which can be written as P(A|B).
Use Bayes' theorem to find P(A|B),
P(A|B) = P(B|A) × P(A) / P(B)
P(A) = 0.3 (the market share of Charter)
and P(B) = P(B/A) × P(A) + P(B / A') × P(A'),
where P(A') = 1 - P(A) = 0.7 (the market share of Xfinity).
P(B|A), the probability of experiencing an internet speed of 12Mbps given that the customer is served by Charter,
All speeds between 7Mbps and 15Mbps are equally likely.
This implies, the probability of experiencing a speed of 12Mbps given Charter is,
P(12Mbps/A) = 1 / (15Mbps - 7Mbps)
= 1 / 8
P(B|A'), the probability of experiencing an internet speed of 12Mbps given that the customer is served by Xfinity,
All speeds between 10Mbps and 20Mbps are equally likely.
This implies, the probability of experiencing a speed of 12Mbps given Xfinity is,
P(12Mbps|A') = 1 / (20Mbps - 10Mbps)
= 1 / 10
Now substitute all the values into Bayes' theorem,
P(A|B) = P(B|A) × P(A) / [P(B|A) × P(A) + P(B |A') × P(A')]
= (1/8) × 0.3 / [(1/8) × 0.3 + (1/10) × 0.7]
= 0.349
Therefore, the probability that the customer is served by Charter given that they are experiencing an internet speed of 12Mbps is 0.255, or about 34.9%.
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9n^2 - 24 + 16
please help
Answer:
lol the answer is the second one
The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 244 people entered the park, and the admission fees collected totaled 716.00 dollars. How many children and how many adults were admitted?
Your answer is:
number of children equals=____
number of adults equals=____
Using the system of equations, the number of adults and the number of children who were committed are 140 and 104 respectively.
Given that,
The admission fee at an amusement park is $1.50 for children and $4 for adults.
Let x be the number of adults and y be the number of children who were admitted.
On a certain day, 244 people entered the park, and the admission fees collected totaled 716.00 dollars.
We get a system of equations,
x + y = 244
4x + 1.5y = 716
From the first equation,
y = 244 - x
Substituting this to second equation,
4x + 1.5(244 - x) = 716
4x + 366 - 1.5x = 716
2.5x = 350
x = 140
y = 244 - x = 104
Hence the number of children equals 104 and the number of adults equals 140.
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A store sells new video games for $55 each. Used video games sell for $12 each. Jacob is buying 3 new video games and x used video games. Which equation can be used to find y, the total price Jacob must pay in dollars?
Answer:165+12x=y
Step-by-step explanation:there is 3 $55 games and x12 dollars game so that the equation.
What is the surface area of this triangular pyramid?
now, taking a peek at the picture above, let's notice, the pyramid is really just 4 triangles, three standing up and one lying down.
[tex]\stackrel{ \textit{\LARGE Areas} }{\stackrel{ \textit{triangles standing up} }{3\left[\cfrac{1}{2}(\underset{b}{5})(\underset{h}{7}) \right]}~~ + ~~\stackrel{ \textit{triangle lying down} }{\cfrac{1}{2}(\underset{b}{5})(\underset{h}{4.3})}}\implies 52.5+10.75\implies \text{\LARGE 63.25}~yd^2[/tex]
Chase rolls a standard six-sided die, numbered from 1 to 6. Which word or phrase
describes the probability that he will roll a number greater than 6?
1.unlikely
2.impossible
3.an equal chance or 50-50
4.likely
Please help.
Answer:
This (1.) unlikely
Find the distance between the points (1,2) and (10,-10) round decimal to nearest tenth
The distance between the points (1, 2) and (10,-10) is 15 units.
How to determine the distance between the coordinates for each points?In Mathematics and Geometry, the distance between two (2) points that are on a coordinate plane can be calculated by using the following mathematical equation:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where:
x and y represent the data points (coordinates) on a cartesian coordinate.
By substituting the given points into the distance formula, we have the following;
Distance = √[(10 - 1)² + (-10 - 2)²]
Distance = √[(9)² + (-12)²]
Distance = √[81 + 144]
Distance = √225
Distance = 15 units.
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Which conclusion can best be made from this scatter plot?
Average Rainfall vs. Average Temperature
A scatter plot with average annual rainfall (inches) on the x-axis, and average temperature (degrees Fahrenheit) on the y-axis. Points are scattered on the graph.
CLEAR CHECK
As average annual rainfall increases, average temperature remains constant.
As average annual rainfall increases, average temperature decreases.
As average annual rainfall increases, average temperature increases.
There is no correlation between average annual rainfall and average temperature
The correct ansewer is there is no correlation between average annual rainfall and average temperature
To show the relationship between two variables, scatter plots are utilized. The following broad inferences can be drawn from a scatter plot:
Positive correlation: When one variable's value rises, the other variable's value likewise tends to rise. An upward-sloping trend line from left to right serves as an indicator of this.Negative correlation: When one variable's value rises, the other variable's value tends to fall. A trend line that slopes downhill from left to right serves as a visual cue for this.No obvious association can be seen between the two variables. This is demonstrated via a scatter plot where the data points are dispersed randomly over the plot and there is no visible trend line.But in the given graph there is no property applying at all so,
The correct ansewer is there is no correlation between average annual rainfall and average temperature
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Given the following stock quotation, find the symbol for the stock.
Boeing
BA
80.12
81.09
79.20
81.00
1.22 153 3.41 6.237
The symbol for the stock boeing is BA.
We are given that;
Quotation 80.12 81.09 79.20 81.00
Now,
It is the first item in the quotation after the company name. The other items are the previous close price, the open price, the low and high prices of the day, the current price, the change in percentage, the volume in millions, the dividend yield and the P/E ratio.
Therefore, by the equation the answer will be BE.
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you roll a fair 6-sided die. what is the probability of rolling an odd number?
Answer:
Step-by-step explanation:
50%
Select the correct answer.
Solve the following equation for x.
x2 - 36 = 0
A.
x = 1; x = -36
B.
x = -1; x = 36
C.
x = -6; x = 6
D.
x = -18; x = 18
Answer: D
Step-by-step explanation:
2x-36=0
+36 +36
___________
2x=36
x=18
Even if one equation, -18 was not solved, you can easily cross out the ones without 18 and get the answer.
A box contains red, blue, and yellow pens. A pen is drawn with replacement.
This experiment is conducted 10 times. The probability distribution for the data collected empirically is given as follows:
x 1 2 3
P(x) 4/10 2/10 4/10
The standard deviation is 0.89
The correct answer is an option (d)
We know that the formula for the standard deviation is:
[tex]\sigma=\sqrt{(x-\mu)^2\times P(x)}}[/tex]
where x is the data value
P(x) is the expected value of x
μ is the mean expected value
x P(x) x.P(x) (x - μ)² . P(x)
1 4/10 4/10 4/10
2 2/10 4/10 0
3 4/10 12/10 4/10
The mean value would be, 4/10 + 4/10 + 12/10 = 2
Using above formula, the standard deviation would be,
[tex]\sigma=\sqrt{(x-\mu)^2\times P(x)}}[/tex]
σ = √(4/10 + 0 + 4/10)
σ = √(8/10)
σ = 0.89
Therefore, the correct answer is an option (d)
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Find the complete question below.
HELP ASAP! The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 2. There are two dots above 8. There are three dots above 6, 7, and 9.
Which of the following is the best measure of center for the data, and what is its value?
The median is the best measure of center, and it equals 6.5.
The mean is the best measure of center, and it equals 7.
The median is the best measure of center, and it equals 7.
The mean is the best measure of center, and it equals 6.5.
all
Gina wants to go to the water park with her friends. They have a total of www dollars to buy 555 tickets. Each ticket costs 151515 dollars.
Select the equation that matches this situation.
Choose 1 answer:
Choose 1 answer:
(Choice A) 5 = 15 \times w5=15×w5, equals, 15, times, w
A
5 = 15 \times w5=15×w5, equals, 15, times, w
(Choice B) w = 15 +5w=15+5w, equals, 15, plus, 5
B
w = 15 +5w=15+5w, equals, 15, plus, 5
(Choice C) w = 5 \times 15w=5×15w, equals, 5, times, 15
C
w = 5 \times 15w=5×15