The perimeter of the figure is 55.1 ft and the area of the figure is 236.625 ft²
How to find the perimeter and the area?First the perimeter, we can view this as a circle of diameter of 15ft, and then add the two segments of 4ft.
The circumference of a circle of diameter D is:
c = pi*D
Where pi = 3.14
c = 3.14*15ft = 47.1 ft
Then the perimeter is:
P = 47.1 ft + 4ft + 4ft = 55.1 ft
Now the area, it is:
The area of the circle of diamter of 15ft plus the area of a rectangle of 4ft by 15ft.,
The area of the rectangle is:
A = 15ft*4ft = 60ft²
And the area of the circle is:
A' = 3.14*(15ft/2)²
A' = 176.625 ft²
Then the total area is:
area = 60ft² + 176.625 ft² = 236.625 ft²
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suppose six of these people are men, and the other six are women. in how many ways can they join hands for a circle dance, assuming they alternate in gender around the circle
Twelve people join hands for a circle dance.In how many ways can they do this? Suppose six of these people are men, and the other six are women. In how many ways can they join hands for a circle dance, assuming they alternate in gender around the circle
Answer:
86400 ways
Step-by-step explanation:
Since the circle can be rotated, the number of ways to arrange a distinct number of n objects in a circle will be (n−1)!.
Now, if we rotate the circle with the six women, we will see that there are 5! ways with which they can be placed in the circle.
After picking the places for the women, we will now fill each gap between two women with a man.
We have 6 men. Thus, number of ways to arrange the men is 6!
Thus,number of ways they can join hands for a circle dance, assuming they alternate in gender around the circle = 5! × 6! = 86400 ways
Use the graph below to answer this question:
Find the average rate of change for the
given function from x = -1 to x = 2
4/3
- 4/3
- 3/4
3/4
1. "Lisa took out a loan for $16,400. This was 3 years ago. Her monthly payments for that loan were $674.35. Since Lisa had filed for bankruptcy several years prior, she
better credit rating her payments could have been $451.88 per month. How much more in interest did Lisa end up paying for her loan because of her bankruptcy?
Hint: 1st since you know how much Lisa paid per month, what was the total amount, with interest, that she paid in 3 years?
2nd, what was the total amount she would have paid in 3 years if she didn't have bankruptcy?
3rd, find the difference between those two and that is your answer.
a.
b.
C.
d.
$5,836.80
$8092.20
$8,008.92
$7,004.16
Aaron wants to draw the development of a cylinder. Which method of development should he use?
A.
parallel line
B.
approximate
C.
triangulation
D.
radial line
E.
non-curved to non-curved triangulation
Answer:
The correct option is A. Parallel line.
2.1. Provide a general rule to describe the relationship between the dates of spread and number of people infected infected.
The relationship between the dates of spread and the number of people infected can vary depending on various factors such as the infectiousness of the disease, the effectiveness of containment measures, population density, and individual behaviors.
However, there is a general rule that can describe the relationship:As the dates of spread progress, the number of infected individuals tends to increase initially, reaching a peak, and then gradually decreasing over time.
This pattern is often referred to as the epidemic curve or the epidemiological curve. In the early stages of an outbreak, the number of cases may grow rapidly as the disease spreads through a susceptible population. This rapid increase is often influenced by factors such as the contagiousness of the disease, population density, and social interactions.
As containment measures, such as vaccination campaigns, public health interventions, and behavioral changes, are implemented, the rate of new infections may start to decline. This can lead to a peak in the number of cases, after which the curve gradually decreases as the disease is brought under control and fewer susceptible individuals remain.
It's important to note that the specific shape, duration, and magnitude of the epidemic curve can vary significantly depending on the disease and the effectiveness of the response measures implemented. Additionally, emerging variants, changes in behavior, and other factors can impact the trajectory of the epidemic curve.
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PLEASE HELP WILL MARK BRSINLIEST!!!!!pleaseeee
Answer:
\(x(3x-7)=3x^2-7x\)
Step-by-step explanation:
\(\Large \begin{array}{| c | c | c |}\cline{1-3} \textsf{x} & 3x & -7\\\cline{1-3} x & 3x^2 & -7x\\\cline{1-3}\end{array}\)
\(\textsf{Therefore,}\quad x(3x-7)=3x^2-7x\)
the volume of a pyramid whose base is aright triangle is 234 units. If the two legs of the right triangle measures 9 units and 12 units find the height of the pyramid.
If the volume of this pyramid is 234 units, the height of the pyramid is equal to 13 units.
How to calculate the volume of a pyramid.Mathematically, the volume of a pyramid is given by the formula:
\(Volume = \frac{1}{3} \times base\;area \times height\)
For the base area:
The area of a right triangle is given by:
\(A=\frac{ab}{2} \\\\A=\frac{9 \times 12}{2} \\\\A=\frac{108}{2}\)
A = 54 square units.
Given the following data:
Volume of a pyramid = 234 units.
Side lengths of right triangle = 9 and 12 units.
Now, we can calculate the height of the pyramid:
\(234 = \frac{1}{3} \times 54 \times height\\\\234=18h\\\\h=\frac{234}{18}\)
h = 13 units.
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i NEED HELP PLSSSSSSSSS
Answer:
I would think its the one you picked
Step-by-step explanation:
I dont know for sure. Sorry. You said anything. But i think its the last one. Very sorry if you get it wrong. I will feel horrible. But i hope its right!
Based on your answer to part (b), choose what the administrator can conclude, at the 0.05 level of significance. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to conclude that the mean distance hiked by each visitor is now less than 25 kilometers. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to conclude that the mean distance hiked by each visitor is now less than 25 kilometers. O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to conclude that the mean distance hiked by each visitor is now less than 25 kilometers. O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to conclude that the mean distance hiked by each visitor is now less than 25 kilometers.
The evidence suggests that the average distance hiked by each visitor has decreased to less than 25 kilometers, so the null hypothesis is rejected.
The p-value is the probability of getting a test statistic result at least as extreme as the one observed, given that the null hypothesis is true. If the p-value is less than the chosen level of significance (which is 0.05 in this case), then the null hypothesis is rejected. In this case, since the p-value is less than 0.05, the null hypothesis is rejected. This means that there is enough evidence to conclude that the mean distance hiked by each visitor is now less than 25 kilometers.
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Evaluate the formula for B = 9 in.2 and h = 32 in.
32 in.3
9.6 in.3
96 in.3
288 in.3
Answer:
is going to give you a decimal as then you divide it by 2 and then multiply that number by 4 hope this helps
Step-by-step explanation:
Answer:
is going to give you a decimal as then you divide it by 2 and then multiply that number by 4 hope this helps
Step-by-step explanation:
What is the slope of a line that is perpendicular to the line 3y - 4x = -8?
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
\(3y - 4x = - 8\)
Add sides 4x
\(3y - 4x + 4x = 4x - 8\)
\(3y = 4x - 8\)
Divide sides by 3
\( \frac{3}{3} y = \frac{4}{3} x - \frac{8}{3} \\ \)
\(y = \frac{4}{3} x - 8 \\ \)
This is the slope-intercept form of the line.
We that the coefficient of the x in slope-intercept form , is the slope of the line.
Thus ;
\(slope = \frac{4}{3} \\ \)
_________________________________
Remember from now on ;
Multiply of the slopes of the lines which are perpendicular to each other equal -1 .
Suppose the slope of the line which question asked is m.
So :
\( \frac{3}{4} \times m = - 1 \\ \)
Multiply sides by 4
\(4 \times \frac{3}{4} \times m = 4 \times ( - 1) \\ \)
\(3m = - 4\)
Divide sides by 3
\( \frac{3}{3} m = \frac{ - 4}{3} \\ \)
\(m = - \frac{4}{3} \\ \)
Done...
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A town has a population of 4000 and grows at 3% every year. To the nearest year, how long will it be until the population will reach 6300?
16.4333 years will take to reach the population of 6300 if a town has a population of 4000 and grows at 3% every year.
The given is,
Population of 4000
Rate of growing 3% every year
Population after few years 6300
The formula to calculate the population with the growth rate every year is the exponential growth formula which is
F = P(1+r)^t
Where,
F - Population after t years
P - Initial population
r - Rate of growing
t - No.of years
From the given data,
F = 6300
P = 4000
r = 3%
The equation becomes (1)
6300 = 4000(1+0.03)^t
6300/4000 = (1+0.03)^t
1.575 = (1+0.03)^t
Take logs on both sides,
log(1.575) = (t) log(1.03)
Substitute log values:
0.1972= (t) 0.012
t = 0.1972/0.012
t = 16.433
Therefore, it will take 16.433 years to reach the population of 6300, if a town has a population of 4000 and grows at 3% every year.
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Heeelp please!!! Picture included
Answer:
2nd choice
Step-by-step explanation:
A 34 inch baseball bat is resting 6 inches from the base of a play house as shown how far up on the Playhouse is a baseball bat resting round to the nearest 10th
complete the following series. 1,6,15,__,45,66,92
Answer: 28
Step-by-step explanation:
the given sequence follows the pattern: +5, +9, +13, +17, +21, +25, ......
Thus, the series is 1 + 5 = 6, 6 + 9 = 15, .....
so, missing term = 15 + 13 = 28.
Answer:
28
Step-by-step explanation:
6-1=5
15-6=9
28-15=13....
what we are doing is we are adding 4 each time, it is an arthematic equation
Can someone help me Solve:
-2√3+√75=
Answer:
\(3\sqrt{3}\)------------------
Simplify in below steps:
\(-2\sqrt{3} +\sqrt{75} =\)\(-2\sqrt{3} +\sqrt{25*3} =\)\(-2\sqrt{3} +\sqrt{5^2*3} =\)\(-2\sqrt{3} +5\sqrt{3} =\)\(3\sqrt{3}\)4y + 3y + 2y =
A. 9y
B. 9y²
C. 9y³
D. 24y
E. none of these
Answer:
Step-by-step explanation:
Like terms are terms that have the same letter or letters. They can be collected together by adding or subtracting. 9y, 3y and 2y are like terms because they contain the letter y and only the letter y.
4y + 3y + 2y = 9y
Which of the following statements are true?
Select all that apply.
A. 4 is a perfect cube.
B. 16 is a perfect square.
C. 2,197 is both a perfect square and a perfect cube.
D. 8 is a perfect cube.
E. 18 is neither a perfect square nor a perfect cube.
The statements that are true are B and D.
Given are some statements we need to check which is true.
Let's analyze each statement:
A. 4 is a perfect cube.
False. 4 is not a perfect cube because there is no integer that can be cubed to give 4.
B. 16 is a perfect square.
True. 16 is a perfect square because it can be expressed as 4^2, where 4 is an integer.
C. 2,197 is both a perfect square and a perfect cube.
False. 2,197 is not a perfect square because there is no integer that can be squared to give 2,197.
However, it is a perfect cube because 13³ equals 2,197.
D. 8 is a perfect cube.
True. 8 is a perfect cube because it can be expressed as 2³, where 2 is an integer.
E. 18 is neither a perfect square nor a perfect cube.
True. 18 is neither a perfect square nor a perfect cube because there is no integer that can be squared or cubed to give 18.
Therefore, the statements that are true are B and D.
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one period of a sine function or cosine function is called one amplitude incorrect: your answer is incorrect. of the sine curve or cosine curve.
The correct answer is cycle. A sine or a cosine function represent periodic functions where the value of the function is repeats after a definite interval.
What do you mean by periodic function?
A periodic function can be defined as:
A function returning to the same value at regular intervals. Though periodic motion and oscillatory motion sound the same, not all periodic motions will be oscillatory motion.
Image result for periodic function
If a function has a repeating pattern like sine or cosine, it is called a periodic function. The period is the length of the smallest interval that contains exactly one copy of the repeating pattern.
A motion that repeats itself at regular intervals is termed periodic motion. 1. A motion that does not repeat itself at regular intervals is termed non-periodic motion. 2. After a certain period of time, an object exhibiting periodic motion returns to its original position.
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Find the number of ways of
arranging the letters of the
words DANGER, so that no vowel
occupies odd place.
Answer: 6 * 24 = 144 ways.
Step-by-step explanation:
Solution:
Given word => DANGER.
The condition is that vowels can't occupy odd places so, we will let them occupy even places.
A total number of arrangements will be = 6 * 24 = 144 ways.
Answer: 6x24 = 144 ways.
the sum of four number is 20500.three of the numbers are 2341.578 and 10690.What is the fourth number?
Answer:
5216.844
Step-by-step explanation:
Let x be the fourth number.
We know that the sum of the four numbers is 20500:
2341.578 + 10690 + x + 2341.578 = 20500
Simplifying and solving for x:
x = 20500 - 2341.578 - 10690 - 2341.578
x = 5216.844
I need help with this problem
Answer:
m<S: 54
m<U: 60
Step-by-step explanation:
x + 4 + x + 68 = 180
2x + 72 = 180
2x = 108
x = 54
<S:
x
54
<U:
x + 4
54 + 4
60
$8 is what percent of $8?
Answer:
100%?
Step-by-step explanation:
Please awnser asap I will brainlist
Answer:
True
Step-by-step explanation:
The easiest way to understand this problem is to first breakdown the notation. In words, the problem is stating 9 is NOT an element of the set containing the elements 4, 1, 8, and 7. Since 4\(\neq\)9, 1\(\neq\)9, 8\(\neq\)9, and 7\(\neq\)9 then 9 is not an element of this set and the statement is true.
Is this one correct? Let me know please
Answer:
linear dimensions: 2 : 7areas: 4 : 49volumes: 8 : 343Step-by-step explanation:
You want the area and volume ratios when two figures have a similarity ratio of 2 : 7.
AreaThe ratio of areas is the square of the similarity ratio:
2² : 7² = 4 : 49
VolumeThe ratio of volumes is the cube of the similarity ratio:
2³ : 7³ = 8 : 343
__
Additional comment
It can help to think about the units of area and volume. For linear dimensions in inches, area dimensions are in square inches, and volume dimensions are cubic inches. Any ratio of inches will be squared when those inch dimensions are used for area, and will be cubed when volume is computed.
side length of a square or cube: smaller: 2", larger: 7"
area of the square: smaller: 2² in², larger: 7² in² or 4 in² and 49 in²
volume of the cube: smaller: 2³ in³, larger: 7³ in³ or 8 in³ and 343 in³
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The sides of a triangle are in the ratio 1: 2: 4. The difference between the longest side
and the shortest side is 84 cm. What is the perimeter of the triangle?
The sides of a triangle are in the ratio 1 : 2 : 4. The difference between the longest side and the shortest side is 84 cm. What is the perimeter of the triangle ?
Solution:-The sides of a triangle are in the ratio 1: 2: 4. (Given)
Let the three sides of a triangle be x, 2x and 4x respectively.
So,
ATQ ,
4x - x = 84
3x = 84
x = \( \bf \frac{84}{3} \)
x = 28\( \therefore \) Longest side = 4x = 4 × 28 = 112 cm.
Shortest side = x = 28 cm.
And, the other side = 2x = 2 × 28 = 56 cm
Now, we have to find the perimeter of the triangle.
Hence, Perimeter of the triangle = (112 + 56 + 28) cm = 196 cm.
The perimeter of the triangle is 196 cm. [Answer]What percent of 120 is 24 I NEED ASAP NEED STEPS
Answer:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
1 /5
Decimal Form:
0.2
Or divide 120 by 24
Step-by-step explanation:
Hope this helps! Have a great day! Can you give me Brainliest?
Bookwork code: N84
Look at the poster below showing the price of pencils in a stationery shop.
Annabel wants to buy exactly 76 pencils. What is the lowest amount she can
pay?
Give your answer in pounds (£).
spar
..
Pencils for sale!
30p each
Pack of 10
pencils for £2
Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20
How is the lowest amount determined?The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.
Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.
If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).
If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].
Pencils for sale
30p each
Pack of 10 pencils for £2
Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.
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The original price of a
42-inch TV is $399. An
electronics store is
offering the TV for
15% off of the original
price plus a $25
discount. How much
will the TV cost after
both the sale and
discount?
A) $314.15
B) $40.00
C) $326.85
D) $359.00
PLEASE HELP
Answer:
$314.15 (A)
Step-by-step explanation:
We start by subtracting the 15% discount. 15% can be represented by 0.15, and 100% can be represented by 1. So therefore, the new price of the TV will be 1-0.15 = 0.85 of the original price using just the 15% discount. Therefore, 0.85 x 399 = $339.15. We then take this number and subtract another $25 to get $314.15
There are 6 red marbles and 24 blue marbles in a jar. What is the ratio of red marbles to blue marbles?