The perimeter of the rectangle is twice the sum of the legs, or twice the sum of the hypotenuses is 28 $
what is perimeter ?
Perimeter is the total distance around the outside of a two-dimensional shape. It is calculated by adding up the lengths of all the sides of the shape.
In the given question,
The rectangle can be divided into two congruent triangles with legs of length 5 and 3. Using the Pythagorean theorem, we can find length of the hypotenuse of each triangle:
$c = \√{5² + 3²} = \√{34}$
The perimeter of the rectangle is twice the sum of the legs, or twice the sum of the hypotenuses:
$P = 2(5 + 3 + \√{34} + \√{34}) = 2(8 + 2\√{34}) = 27.7$
Rounding to the nearest whole number, the perimeter of the rectangle is 28 units. Therefore, the answer is (C) 28 units.
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Answer:
28 units
Step-by-step explanation:
Please help! Will mark brainliest if correct
Answer:
the answer is rectangle. I hope it helps!
Answer:
Triangle
Step-by-step explanation:
Because it looks like a Triangle 3 sides
Calculate the perimeter of this right- angled triangle. Give your answer in metres (m) to 1 d.p. 7m 19 m
Answer: 46.2m
Side A = 7m
Side B = 19m
Side C = 20.2m
Side A + Side B + Side C = ABC
7 + 19 + 20.2 = 46.2m
determine when g(x)= 2/3 (0.2)^x is positive, negative, increasing, or decreasing
Answer:
Step-by-step explanation:
just look at its last number
"When we would go to the pound to drop off donations," her owner said. . .
What does this line suggest about the owner? (5 points)
Group of answer choices
He cares for the needy, too.
He has little else to do.
He is not happy with his choice.
He listens to Ginny.
Answer:
He is not happy with his choice.
Step-by-step explanation:
I think don't have enough of information
Please help me thanks
Answer:
B) 7.4
C) 3.7
Step-by-step explanation:
B) The opposite of squaring is to square root. Therefore we do the square root of 55.11 to find the radius. (√55.11)
This is 7.4 (to one decimal place)
C) The diameter is half of the radius.
We divide the value in our calculator by 2
We get 3.7 (to one decimal place)
Sorry hon, just saw the comment on the last answer!
B. Approximately 7.4m
To get to the answer... the equation was 55.11= r^2, so you would just find the square root of 55.11 to eliminate r.
C. Approximately 14.8m
To get to the answer... diameter is just from one end of the circle to the opposite. This being said, it is just double the radius.
the manufacturer of a new line of ink jet printers would like to include as part of its advertising the number of pages a user can expect from a print cartridge. what is the point estimate for the population mean ink jet pages?
The point estimate of the population mean is 2504.8.
The sample mean is the scale parameter of the population mean, hence we must design a table to determine it:
i x x²
1 2698 7279204
2 3028 9168784
3 2474 6120676
4 2395 5736025
5 2332 5438224
6 2475 6125625
7 1927 3713329
8 3006 9036036
9 2334 5447556
10 2379 5659641
∑ i = 1 to n (x) = 25048
∑ i = 1 to n (x)² = 63725100
Sample size: n = 10
Mean:
x = (∑ i = 1 to n (x)) ÷ n
x = (∑ i = 1 to 10 (x)) ÷ 10
x = 25048 ÷ 10
x = 2504.8
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The question is -
The manufacturer of a new line of inkjet printers would like to include as part of its advertising the number of pages a user can expect from a print cartridge. A sample of 10 cartridges revealed the following number of pages printed.
2698, 3028, 2474, 2395, 2332, 2475, 1927, 3006, 2334, 2379
What is the point estimate of the population mean?
If repeated samples of size n are taken from a normal population with an unknown variance, then the statistic ______ follows the t distribution with n-1 degrees of freedom
In summary, when repeated samples of size n are taken from a normal population with an unknown variance, the statistic t follows the t-distribution with n-1 degrees of freedom.
If repeated samples of size n are taken from a normal population with an unknown variance, then the statistic t follows the t distribution with n-1 degrees of freedom. When a sample of size n is taken from a normal population with a known variance and mean, the sample mean follows a normal distribution with a mean of μ and a variance of σ2/n. This distribution is known as the sampling distribution of the mean.
However, when the variance is unknown, the sampling distribution of the mean can no longer be calculated using the normal distribution. In this scenario, the sample mean is calculated using a t-distribution instead of a standard normal distribution.The t-distribution is similar to the standard normal distribution. However, it is more spread out and flatter than the standard normal distribution. As a result, the t-distribution has thicker tails than the standard normal distribution, which makes it more suitable for analyzing small samples of data.
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Solve each log equation for real solutionslogx 81 =2
Answer:
x=9
Step-by-step explanation:
You would change it to x^2 = 81 which is 9.
The population of wild tigers in Nepal can be modeled by the equation LaTeX: p=130\left(2\right)^x
p
=
130
(
2
)
x
, where x is the number of years since 2009.
Part A
Assuming the population growth rate continues, an equation that represents the number of years from 2009 it will take for the population of wild tigers in Nepal to reach 1,000 can be expressed as LaTeX: x=\log_ba
x
=
log
a
b
, where a and b are >0. What are the values of a and b?
Part B
Approximately how many years from 2009 will it take for the population of wild tigers in Nepal to reach 1,000? Round your answer to the nearest whole number
Part A
According to the equation, the values of a is a = 2009 + f(a) and b is b = 800 + f(b).
Part B
Approximately it takes 8 years from 2009 for the population of wild tigers in Nepal to reach 800.
To find these values, we need to set the equation for the population of wild tigers equal to 800 and solve for x. The equation becomes 800 = 121(2)ˣ.
Taking the logarithm of both sides, we get
=> log(800) = log(121) + x log(2).
Solving for x, we get
=> x = (log(800) - log(121))/log(2).
Moving on to the second part of the problem, we are asked to determine approximately how many years from 2009 it will take for the population of wild tigers in Nepal to reach 800. Using the equation we derived in Part A, we can plug in values of a and use trial and error to find the answer. However, this can be time-consuming.
Instead, we can use a calculator to get an approximate answer. Plugging in the values for log(800) and log(121) into the equation we derived in Part A, we get x = 7.75.
Therefore, it will take approximately 8 years from 2009 for the population of wild tigers in Nepal to reach 800.
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Sylvia invested $500 in an account compounded annually with an interest rate of 8%. manuel invested $600 in an account with a compound interest rate of 7.25%. using the rule of 72, startfraction 72 over t endfraction, who will double their money first?
a. sylvia will double her money first, in approximately 9 years.
b. manuel will double his money first, in approximately 10 years.
c. manuel will double his money first, in approximately 9 years.
d. sylvia will double her money first, in approximately 10 years.
Using the rule of 72, startfraction 72 over t endfraction, Manuel will double his money first, in approximately 9 years. Option C is the answer.
The rule of 72The rule of 72 is a quick and simple way to estimate the number of years it takes for an investment to double given the
interest rate. It is calculated by dividing 72 by the interest rate.
For example, if an investment has an interest rate of 8%, it will take approximately 72 / 8 = 9 years to double the investment.
Applying this rule, we can estimate the time it will take for Sylvia's investment to double: 72 / 8 = 9 years.
And for Manuel's investment to double: 72 / 7.25 = 10 years.
Since Manuel's investment will double in approximately 9 years, he will double his money first.
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3x-100 what does x equal?
A number cube is tossed 60 times.
Outcome Frequency
1 12
2 13
3 11
4 6
5 10
6 8
Determine the experimental probability of landing on a number greater than 4.
17 over 60
18 over 60
24 over 60
42 over 60
For the given tossing of number cube and its frequency outcome, the probability on landing a number greater than 4 is 18/60.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
As given in the question
Total number of tossing a number cube = 60
Number of times greater than 4 comes up = 10 + 8 (frequency of is 10 and frequency of 6 is 8)
⇒Number of times greater than 4 comes up = 18
Probability of getting number greater than 4
= (frequency of getting 5 and 6) / (total number of trials)
⇒ probability of getting number greater than 4 = 18 / 60
Therefore, for the given tossing of number cube and its frequency outcome, the probability on landing a number greater than 4 is 18/60.
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A clear jar is filled with black, red, and green marbles.
There are 6 black marbles and each marble is uniquely
marked with a number 1 through 6. There are also six red
marbles and six green marbles numbered the same way.
Given that a black or a red marble is randomly selected,
what is the probability that it is marked with a number
greater than 4
?
Step-by-step explanation:
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The probability of getting a marble marked with a number greater than 4 is \(\frac{1}{9}\).
What is probability?Probability is the measure of happening or non-happening of outcomes of random experiment.
Probability formulaP(E) = Number of favorable outcomes/Total number of outcomes
where,
P(E) is the probability of an event.
According to the given question.
Total number of marbles in jar = 18
⇒ Total number of outcomes = 18
( 6 red marbles, 6 black marbles, and 6 green marbles)
But it is given that, black or red marble is randomly selected.
Therefore, the total number of outcomes reduced to 12.
Numbers which are greater than 4 among 1 to 6 are 5 and 6.
Total number of numbers which are greater than 4 in jar = 2 × 3 =6
But we have to select only black or red marble.
Therefore,
Total number of favorable outcomes = 4
The probability of selecting a marble greater than 4 which are red
= \(\frac{4}{12} =\frac{1}{3}\)
The probability of selecting a marble greater than 4 which are black
= \(\frac{4}{12} = \frac{1}{3}\)
Therefore, the probability of getting a marble marked with a number greater than 4 \(=(\frac{1}{3}) (\frac{1}{3} )=\frac{1}{9}\)
Hence, the probability of getting a marble marked with a number greater than 4 is \(\frac{1}{9}\).
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I need it fast please
Answer:
B
Step-by-step explanation:
the answer is B because to find the cost for just 1 ounce would be the amount of money divided by the original amount of ounces.
2.88/12 = 0.24
3.24/14 = 0.2314...
4.52/18 = 0.2511...
4.75/20 = 0.2375
Remember that she wants to SAVE money so the best answer would be B because she is only spending less than 24 cents an ounce.
Answer:
Brand B because it is less than 0.24 per ounce
Step-by-step explanation:
Brand A is 0.24 per ounce
Brand B is 0.2314 per ounce
Brand C is 0.251 per ounce
Brand D is 0.2375
women today account for 17% of jockeys in Victoria Australia if there are 75 jockeys on a track how meny whould be girls
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of 50 business travelers follow.
7 7 3 8 4 4 4 5 5 5 5 4 9
10 9 9 8 10 4 5 4 10 10 10 11 4
9 7 5 4 4 5 5 4 3 10 10 4 4
8 7 7 4 9 5 9 4 4 4 4
Develop a 95% confidence interval estimate of the population mean rating for Miami. Round your answers to two decimal places.
The 95% confidence interval estimate of the population mean rating for Miami International Airport is approximately 5.50 to 6.74 (rounded to two decimal places).
To develop a 95% confidence interval estimate of the population mean rating for Miami International Airport, we can use the sample data provided. Here are the steps to calculate the confidence interval:
Step 1: Calculate the sample mean and sample standard deviation (s) from the given ratings.
Step 2: Determine the critical value (t*) for a 95% confidence level. Since the sample size is small (n = 50), we need to use the t-distribution. The degrees of freedom (df) will be n - 1 = 50 - 1 = 49.
Step 3: Calculate the standard error (SE) using the formula: SE = s / √n, where n is the sample size.
Step 4: Calculate the margin of error (ME) using the formula: ME = t* * SE.
Let's proceed with the calculations:
Step 1: Calculate the sample mean and sample standard deviation (s).
Sample ratings: 7 7 3 8 4 4 4 5 5 5 5 4 9 10 9 9 8 10 4 5 4 10 10 10 11 4 9 7 5 4 4 5 5 4 3 10 10 4 4 8 7 7 4 9 5 9 4 4 4 4
Sample size (n) = 50
Sample mean = (Sum of ratings) / n = (306) / 50 = 6.12
Sample standard deviation (s) = 2.18
Step 2: Determine the critical value (t*) for a 95% confidence level.
Using a t-distribution with 49 degrees of freedom and a 95% confidence level, the critical value (t*) is approximately 2.01.
Step 3: Calculate the standard error (SE).
SE = s / √n = 2.18 / √50 ≈ 0.308
Step 4: Calculate the margin of error (ME).
ME = t* * SE = 2.01 * 0.308 ≈ 0.619
Step 5: Construct the confidence interval.
Confidence Interval = 6.12 ± 0.619
Lower bound = 6.12 - 0.619 ≈ 5.501
Upper bound = 6.12 + 0.619 ≈ 6.739
The 95% confidence interval estimate of the population mean rating for Miami International Airport is approximately 5.50 to 6.74 (rounded to two decimal places).
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2. Mark is trying to fit a circular tabletop with a diameter
of 88 inches through a door. The width of the door is 36
inches and the height of the door is 84 inches. Will the
tabletop fit through the door?
Answer: lol no it won't
Step-by-step explanation:
In order to determine if the circular tabletop with a diameter of 88 inches will fit through the door, we must compare the dimensions of the tabletop to the dimensions of the door.
The width of the door is 36 inches and the height of the door is 84 inches. The diameter of the tabletop is 88 inches. To fit through the door, the tabletop's diameter must be less than or equal to both the width and the height of the door.
88 inches > 36 inches and 88 inches > 84 inches
In this case, the tabletop will not fit through the door because its diameter is larger than both the width and the height of the door.
What is 4^2x+5 × 4^3x = 4^2
The solution of the exponent equation \(\rm 4^{(2x+5)} \times 4 ^{(3x)} = 4^2\) will be negative 0.6.
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
The equation is given below.
\(\rm 4^{(2x+5)} \times 4 ^{(3x)} = 4^2\)
Simplify the equation, then we have
\(\rm 4^{(2x+5)} \times 4 ^{(3x)} = 4^2\\\\\rm 4^{(2x+5 + 3x)}= 4^2\)
The base on both sides is the same. Then compare the exponent, then the equation is written as,
2x + 5 + 3x = 2
5x = 2 - 5
5x = - 3
x = - 0.6
The solution of the exponent equation \(\rm 4^{(2x+5)} \times 4 ^{(3x)} = 4^2\) will be negative 0.6.
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Find the area of the rectangle to the right. 9 inches for width and 5y inches for the length
Answer:
The area is 45 inches
Step-by-step explanation:
L×W=A
From a hot-air balloon, Brody measures a 39° angle of depression to a landmark
that's 532 feet away, measuring horizontally. What's the balloon's vertical distance
above the ground? Round your answer to the nearest hundredth of a foot if necessary.
The balloon's vertical distance above the ground is 430 feet.
What is the angle of depression?You look straight parallel to the ground. But when you have to watch something down, then you take your sight down by moving your head up.
The angle from horizontal to the point where you stopped your head is called the angle of depression.
From a hot-air balloon, Brody measures a 39° angle of depression to a landmark that's 532 feet away, measuring horizontally.
The angle of depression = 39°
The base = 532
We need to find the vertical distance consider perpendicular.
\(\rm Tan \theta = \dfrac{perpendicular}{base } \\\\\rm Tan 39 = \dfrac{perpendicular}{532} \\\\\rm Tan 39 \times 532 =perpendicular\\\\0.80 \times 532\\\\P = 430.80\)
Therefore, the balloon's vertical distance above the ground is 430.80 feet.
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Answer:
430.81
Step-by-step explanation:
hard way
What are the vertices of the resulting image A'B'C'D'E' after rotating the figure 90° about the origin?
Answer:
45
Step-by-step explanation: If you turn 90 counter clockwise ( aka divided by half ), the result would be 45.
9
5. A square room is covered by a number of whole rectangular slabs of sides 60cm and
42cm.
a) Find the area of the slab.
(2 marks)
Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express P in the form P(x) = D(x) Q(x) + R(x).
P(x) = 3x³-4x²-3x, D(x) = 3x - 4
P(x) =
The value of Q(x) = x² - 1
R(x) = 4
What is Long Division?
Long division is a common division procedure in mathematics that may be easily performed manually and is appropriate for dividing multi-digit Hindu-Arabic numbers. It simplifies a division problem into several shorter stages.
By long Division method:
x² - 1
_______________________________
(3x - 4) | 3x³ - 4x² - 3x
3x³ - 4x²
_________________
0 - 0 - 3x
- 3x + 4
___________________
0 + 4
Q(x) = x² - 1
R(x) = 4
Hence, (3x³-4x²-3x) = (3x - 4)(x² - 1 ) + 4
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25 points! Please show work for brainlest answer
Answer:
x² - 10 + 2x = 2x + 90
x² - 10 + 2x - 2x = 2x - 2x + 90
x² - 10 = 90
x² - 10 + 10 = 90 + 10
x² = 100
square root them both and you get x = 10
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
The Picture
20 List the steps of the perpendicular bisector construction in order from 1 to 4
The steps of the perpendicular bisector construction in order from 1 to 4 are;
1) Open the compass
2) Draw arcs above and below the segment to be bisected
3) Draw arcs from the other endpoint of the segment to be bisected
4) Join the intersection of the arcs with a line
What is a perpendicular bisector?A perpendicular bisector is a line, that is perpendicular to another line, and which divides the other line into two congruent segments.
The steps of a perpendicular bisector construction includes;
1) Opening the compass to a radius that is more than half the length of the segment to be bisected
2) With the radius of the compass opening in step 1, place the compass at one endpoint of the segment to be bisected and draw arcs above and below the the segment to be bisected
3) With the same radius of the compass from step 1, place the compass at the other endpoint and draw arcs above and below the segment to be bisected to intersect the arcs drawn in step 2
4) With a straightedge, draw a straight line joining the point of intersection of the arcs in step 3. The line is the perpendicular bisector of the segment.
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Use the drop-downs to identify the domain and range of the following relation.
{(4, -7), (0, 6), (5,-3), (5, 2)}
What is the domain of this relation?
What is the range of this relation?
Answer:
Domain ( -4,0, 5) Range ( -7, -3, 2, 6)
Step-by-step explanation:
The domain and range of the given relation {(4, -7), (0, 6), (5,-3), (5, 2)}
is:
Domain = { 4, 0, 5, 5 }
Range = { -7, 6, -3, 2 }
Given,
{(4, -7), (0, 6), (5,-3), (5, 2)}
We need to find what is the domain and range of this relation.
What are the domain and range of a function?A function has an input and an output.
Example: f(x) = x + 4
Now,
x = 1, 2, 3
f(1) = 1 + 4 = 5
f(2) = 2 + 4 = 6
f(3) = 3 + 4 = 7
Here,
Domain = 1, 2, 3
Range = f(1), f(2), f(3) = 5, 6, 7
We can also write it as { (1,5), (2,6), (3,7)}
Find the relation.
(4, -7)
Here,
domain = 4 and range = -7
(0, 6)
domain = 0 and range = 6
(5,-3)
domain = 5 and range = -3
(5, 2)
domain = 5 and range = 2
Find the domain and range of {(4, -7), (0, 6), (5,-3), (5, 2)}.
Domain = { 4, 0, 5, 5 }
Range = { -7, 6, -3, 2 }
Thus the domain and range of the given relation {(4, -7), (0, 6), (5,-3), (5, 2)}
is:
Domain = { 4, 0, 5, 5 }
Range = { -7, 6, -3, 2 }
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Find the distance between the points (1,–5) and (9,9).
Answer:
\(\sqrt{260\\\) or 16.12
Step-by-step explanation:
distance formula is \(} d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\)
Distance (d) = √(9 - 1)2 + (9 - -5)2
= √(8)2 + (14)2
= √260
= 2√65
= 16.124515496597
I need help I will give BRAINLEST
Answer:
25%
Step-by-step explanation:
To solve this, we can use the percent change formula shown in the picture attached below. \(x_{2}\) is the new value, \(x_{1}\) is the old value, and \(C\) represents the change. For this problem, 80 is the new value and 64 is the old value. Let's plug those numbers into the formula and solve for the percent change:
\(C = \frac{(80-64)}{64} \\\) × \(100\)
\(C = \frac{16}{64}\) ×\(100\)
\(C = 0.25\) ×\(100\)
\(C = 25%\)
Thus, the answer is 25%.
Which is not a composite number?
34 37 35 36
Answer:
37
Step-by-step explanation:
1. Let's find the factors of each number, of course, if there is any.
34:
1, 2, 17, 3435:
1, 5, 7, 3536:
1, 2, 3, 4, 6, 9, 12, 18, 3637:
1, 37Because 37 is the only the number that has the factors of 1 and itself, it's not a composite number. Therefore, 37 is the correct answer.
8x + 7 = -25
What is the solution for this equation?
8x + 7 = -25
=> 8x = -25 - 7 = -32
=> x = -32/8 = -4
Answer:
-4=x
Step-by-step explanation:
8x+7(-7)=-25(-7)
8x(/8)=-32(/8)
-4=x