The perimeter of the irregular shape would be 34 cm.
What is the perimeter of any shape?
In geometry, the perimeter of a shape is defined as the total length of its boundary. The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape.
By using the definition of the perimeter we can compute,
Perimeter = 4 + 2 + 2 + 3 + 3 + 6 + 9 + 5
= 34 cm.
Hence, the perimeter of the irregular shape would be 34 cm.
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solve for s 1.1=s+2.3/3
Answer:
s=1Step-by-step explanation:
Find the value of s on one side of the equation to isolate it.
1.1=s+2.3/3
First, switch sides.
\(\sf{\dfrac{s+2.3}{3}=1.1}\)
Multiply by 3 from both sides.
\(\sf{\dfrac{3\left(s+2.3\right)}{3}=1.1* \:3}\)
Solve.
1.1*3=3.3
s+2.3=3.3
Then, subtract by 2.3 from both sides.
s+2.3-2.3=3.3-2.3
Solve.
Subtract.
3.3-2.3=1.0=1
s=1
Therefore, the final answer is s=1.
I hope this helps, let me know if you have any questions.
5.
Matt needs to buy 9 dogs and cats. Dogs cost $50
each and cats cost $20 each. What is the price for
each dog and each cat?
I
Answer: Each dog costs $50 and each cat costs $20
Step-by-step explanation:
You literally put the answer in your question.
use function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.
However, we need to substitute a with s since that is the value we have calculated. Therefore, we get \(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.
Let's consider that s be the length of a side of the regular pentagon.
The perimeter of the regular pentagon will be 5s. Therefore, we have the equation:5s = 140s = 28 cm
Also,
we have the formula for the area of a regular pentagon as:
\($A=\frac{1}{4}(5 +\sqrt{5})a^{2}$,\)
where a is the length of a side of the pentagon.
In order to represent the area of a regular pentagon whose perimeter is 140 cm, we need to substitute a with s, which we have already calculated.
Therefore, we have:\(A(s) = $\frac{1}{{4}(5 +\sqrt{5})s^{2}}$\)
Now, we have successfully used function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.
The area of a regular pentagon can be represented using function notation (with the appropriate functions above). The first step is to calculate the length of a side of the regular pentagon by dividing the perimeter by 5, since there are 5 sides in a pentagon.
In this case, we are given that the perimeter is 140 cm, so we get 5s = 140, which simplifies to s = 28 cm. We can now use the formula for the area of a regular pentagon, which is\(A = (1/4)(5 + sqrt(5))a^2\), where a is the length of a side of the pentagon.
However, we need to substitute a with s since that is the value we have calculated. Therefore, we get\(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.
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a data analyst creates a histogram to share in a presentation. what are histograms used to demonstrate?
Histograms are used for demonstrating the frequency distribution of a set of data
What is a histogram?A histogram is described as the display of statistical information that shows the frequency of data in successive numerical intervals of same size.
The independent variable is plotted on the horizontal axis while the dependent variable is plotted on the vertical axis.
The uses of a histogram include;
To determine the shape of the data distributionFor summarizing continuous or discrete dataTo display and organize a large set of numerical data or measurements.To determine the frequency distribution of a given set of dataTo determine the mean, mode, distribution, and median of the presented data set.Hence, histograms are used for displaying statistical data.
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If f(x) takes on both positive and negative values, what is the geometric interpretation of a riemann sum? illustrate with a diagram.
The area being measured will not match the Riemann sum. By employing ever smaller forms to divide the area more precisely, this mistake can be minimized. The sum approaches the area as the shapes become ever-smaller.
What is Riemann sum ?A specific type of approximation of an integral by a finite sum in mathematics is known as a Riemann sum. It bears the name of the German mathematician Bernhard Riemann from the nineteenth century. Approximating the area of functions or lines on a graph, as well as the length of curves and other approximations, is a highly typical use.
A is the area under the curve on the interval being evaluated, f(xi) is the height of each rectangle (or the average of the two heights in the case of a trapezoid), and x is the width of each rectangle or trapezoid. This formula is known as the Riemann sum.Each rectangle in a right Riemann sum has a height equal to the value of the function at the right end of its base. Each rectangle's height in a midpoint Riemann sum is equal to the function's value at the midpoint of its base.To know more about Riemann sum please click here ; https://brainly.com/question/9043837
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A library has 2000 books. There are 3 times as many non fiction books as fiction books. Write and solve an equation. PLEASE HELP ASAP!!!???
Answer:
x = fiction books
3x = nonfiction books
x + 3x = 2000
After you solve for x, (which is the number of fiction books), you can plug its value into the equation for nonfiction books (3x) and that will give you the number of non fiction books.
Step-by-step explanation:
Hope this helps! <3
A bag of pet food weighs 3 Kilograms.
If a dog eats 300 grams of food each day, how many days will that food last?
Answer:
10 days
Step-by-step explanation:
3 kilograms -> 3000 grams
3000 grams / 300 grams per day = 10 days of food. (that is a lot for a dog to eat-)
closure means that whenever you add or subtract two polynomials, you get a ____.
Answer:
Step-by-step explanation:
is this in college?
Somebody please help me with this math question and I’ll give you 26 points please if you are going to submit links do not answer me thank you
Answer:
y=1/2x+3
Step-by-step explanation:
the y=intercept is 3 as you can see so it would be +3, and the slope is 1/2....so yeah.
hope this helps! :)
Answer:#3
Step-by-step explanation:
the y intercept is 3 and the slope is 1 over 2 meaning you go up one and over 2
A ship's destination is 30 miles north and 12 miles east. At what angle should it head to go straight to its destination?
a) 22°east of north b) 24°east of north
c) 31°east of north d) 66°east of north
The angle should it have to go straight to its destination is 66° east of north. The correct option is D.
What are trigonometric identities?Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.
Given that a ship's destination is 30 miles north and 12 miles east. The angle will be calculated as,
tanθ = 30 / 12
θ = tan⁻¹ ( 30 / 12)
θ = 66°
The angle is θ = 66°
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at what point on the x -axis is the magnetic field zero if the two currents are in the same direction? express your answer with the appropriate units.
The point on the x-axis where the magnetic field is zero when the two currents are in the same direction is midway between the two wires.
The magnetic field produced by a current-carrying wire is directly proportional to the distance from the wire. When two current-carrying wires are placed parallel to each other and the current is in the same direction, the magnetic fields around them combine to produce a magnetic field that cancels out at the midpoint between the two wires. Therefore, the point on the x-axis where the magnetic field is zero is the midway point between the two wires, and this point can be calculated using the distance formula. The appropriate units for this point are the same as the units used for the distance between the wires.
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A lottery game has balls numbered 1 through 15. What is the probability of selecting an even numbered ball or a 13?A. 715B. 25C. 815D. 78
The sample space
\(1,2,3,4,5,6,7,8,9,10,11,13,14,15\)even number
\(2,4,6,8,10,12,14\)Solution
Probability of selecting even number
\(\frac{7}{15}\)Probability of selecting a 13
\(\frac{1}{15}\)The Or Rule states that we can find the probability of either event A or event B occurring by adding the probability of event A and the probability of event B, as long as both events are mutually exclusive: P(A or B) = P(A) + P(B)\(\frac{1}{15}+\frac{7}{15}=\frac{8}{15}\)The final answer\(\frac{8}{15}\)$2100.00 is invested in anaccount with a 3.8% interest ratethat is compounded quarterly.How much money is in theaccount at the end of one year?
Given
\(\begin{gathered} P=\text{ \$2100} \\ R=3.8\text{ \%} \\ n=\frac{3}{12}=\frac{1}{4}=0.25 \end{gathered}\)Formula
\(A=P(1+\frac{r}{n})^{nt}\)Substitute the given into the formula
\(undefined\)The final balance is ₦2,180.94
The area of a rectangular swimming pool is 240 sq ft. if the length is 10 ft. and the width is x-2 ft. what is the value of x
The value of x in this scenario is 14 feet. This can be determined by using the formula for the area of a rectangle and the given information about the length and width of the swimming pool.
The formula for the area of a rectangle is A = length × width. In this case, we are given that the area is 240 sq ft and the length is 10 ft. Let's substitute these values into the formula: 240 = 10 × (x - 2).
To solve for x, we need to isolate it on one side of the equation. We divide both sides of the equation by 10: 240/10 = x - 2. Simplifying, we get 24 = x - 2.
To isolate x, we add 2 to both sides of the equation: 24 + 2 = x. This yields x = 26.
Therefore, the value of x is 14 feet, as obtained by solving the equation x - 2 = 14.
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Clara recorded 50 numerical observations on a certain variable and then calculated the mean x¯ and the standard deviation s for the observations. To help decide whether a normal model is appropriate, she created the following chart. The figure presents a number line. The number line has four tick marks labeled from left to right as x bar minus 2 s, x bar minus s, x bar plus s, and x bar plus 2 s. The 4 tick marks create 5 intervals on the number line. From left to right the intervals are labeled a, b, c, d, and e. The intervals at the ends of the number line, a and e, appear to be the same length, the intervals labeled b and d appear to be the same length and the interval in the middle, labeled c, appears to be twice the length of interval b. In Clara’s chart, the letters a,b,c,d,and e represent the number of observations falling in each interval. Which of the following list of counts for a,b,c,d,and e, respectively, is the best indicator that the variable can be modeled with a normal approximation?
Answer:
1, 7, 34, 7, 1
Step-by-step explanation:
Plug in the answer choices:
A.
1, 7, 34, 7, 1
B
1, 10, 28, 10, 1
C
2, 8, 30, 8, 2
D
2, 4, 38, 4, 2
E
5, 5, 30, 5, 5
If you borrow $101 at 7% compounded annually for seven years, how much will you pay back by the end of the term?
The amount you will pay back by the end of the term is; 162.18 dollar.
How to find the compound interest?If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
\(a = p(1 + r)^{t}\)
Given that you borrow $101 at 7% compounded annually for seven years, then we have;
P = 101 dollar
Rate = 7%
Times = 7 yr
Therefore,
\(a = p(1 + r)^{t}\)
\(a = 101(1 + 0.07)^{7}\\\\a = 101 (1.07)^7\\\\a = $162.18\)
Hence, The amount you will pay back by the end of the term is; 162.18 dollar.
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find the slope of the line passing through the points using the slope formula
(5, 0), (2, 4)
The slope formula is m= y2-y1/x2-x1.
m= 4-0/2-5
m=4/-3
Therefore, 4/-3 is the slope.
Answer:
The first option, incase something happens to the president, they’re next in line.
Step-by-step explanation:
10-d = -34-5d solve this equation
\(10 - d = - 34 - 5d\)
Solve the equation for d-term.Because we cannot subtract or add up constants and variables, we simply move the same variable term to the same side and constant term to the same constant side.
\(10 + 34 = - 5d + d \\ 44 = - 4d \\ \frac{44}{ - 4} = d \\ - 11 = d\)
Answer CheckSubstitute d = -11 in the equation.
\(10 - ( - 11) = - 34 - 5( - 11) \\ 10 + 11 = - 34 + 55 \\ 21 = 21\)
The equation is true for d = -11.
Answer\( \large \boxed{d = - 11}\)
Answer:
d=-11
Step-by-step explanation:
10-d=-34-5d
+5d +5d
10+4d=-34
-10 -10
4d=-44
÷4 ÷4
d=-11
just do the opposite
Juan always saves 30% of all his earnings. Last month he saved $141. How much did he earn last month?
Answer:
$470
Step-by-step explanation:
%30 of 470 = $141
Answer: $470
I hope it help
(1, 3)
(0, 3)
(1,4)
(0, 1)
y= 3x + 1,
y = x + 3
y = 3x + 1
y=x+3
5
Answer:
(1,4)
Step-by-step explanation:
both equations are equal to y so we set them equal
3x+1=x+3
-x. -x
2x+1=3
-1. -1
2x=2
/2. /2
x=1
3(1)+1=y
3+1=y
4=y
hopes this helps
Which answer choice shows a solution set in which all values, when input for x, will be true?
482x<12
{2, 4, 6, 8}
{4, 6, 8}
{1, 3, 5}
{1, 2, 3, 4}
Change 26 out of 40 to a percentage
Answer:
65
Step-by-step explanation:
26 divided by 40 then multiply by a hundred
Without using a calculator, find the value of t in [0, 2m) that corresponds to the following functions. 31. sin t = 39. cos t = 40. sin t = 4. ta 42. sec t = V3 43. sin t = 44. cos t = 2 V3 2 1 ;t in QII 38. cos t = 2 ;t in QIII tan t = -√3; t in QII t in QIV -2; t in QIII 1; t is quadrantal -1; t is quadrantal 1 ;t in QIV 2'
The values of t in the given intervals corresponding to the provided trigonometric functions are as follows
t ≈ 1.36 radians or ≈ 78.69 degrees in Q1
t ≈ 1.23 radians or ≈ 70.53 degrees in Q1
31. sin t = 39/13 represents an angle in the first quadrant. Using inverse sine function (sin^(-1)), we find t ≈ 1.36 radians or ≈ 78.69 degrees.
cos t = 4/9 also corresponds to an angle in the first quadrant. By taking the inverse cosine (cos^(-1)), we find t ≈ 1.23 radians or ≈ 70.53 degrees.
To determine the quadrants, we consider the signs of the trigonometric functions:
Sine is positive in quadrants I and II.
Cosine is positive in quadrants I and IV.
Tangent is positive in quadrants I and III.
By analyzing the signs of the provided values, we can identify the appropriate quadrants for each case.
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A new sample of 65 adults is drawn. Find the probability that more than 38% of the people in this sample have high blood pressure. The probability that more than of the people in this sample have high blood pressure is
The probability that more than 38% of the people in the sample of 65 adults have high blood pressure is approximately 0.0453, or 4.53%.
To calculate the probability, we can use the normal approximation to the binomial distribution. Given that the sample size is 65, we can assume that the number of adults with high blood pressure in the sample follows a binomial distribution with parameters n = 65 (sample size) and p = 0.38 (probability of an adult having high blood pressure).
First, we need to find the mean (μ) and standard deviation (σ) of this binomial distribution:
μ = n * p = 65 * 0.38 = 24.7
σ = sqrt(n * p * (1 - p)) = sqrt(65 * 0.38 * (1 - 0.38)) = 4.71
Next, we need to find the z-score for the desired probability. To find the z-score, we subtract the mean from the desired value and divide by the standard deviation:
z = (x - μ) / σ = (x - 24.7) / 4.71
Since we are interested in finding the probability of more than 38% (0.38) of the people having high blood pressure, we want to find the probability of x > 0.38 * 65 = 24.7. Therefore, the z-score becomes:
z = (24.7 - 24.7) / 4.71 = 0
Using a standard normal distribution table or calculator, we can find the probability corresponding to a z-score of 0 is 0.5. However, since we are interested in the probability of more than 38%, we need to find the area under the curve beyond the z-score of 0.5, which is 1 - 0.5 = 0.5.
The probability that more than 38% of the people in the sample of 65 adults have high blood pressure is approximately 0.0453 or 4.53%. This implies that there is a relatively low chance of observing such a high proportion of individuals with high blood pressure in the given sample.
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Find each percent increase. Round to the nearest percent.
From 5 miles to 16 miles
I need the increase in percentage
Answer:
220%
Step-by-step explanation:
\(Percentage\ Increase/Decrease=\frac{Final\ Quantity\ - Initial\ Quantity}{Initial\ Quantity} *100\\Percentage\ Increase/Decrease=\frac{16-5}{5}*100\\=11*20\\=220\ \%\)
As Final quantity is larger than the Initial Quantity, the net percent is an increase.
Congruent Triangles! PLZ HELP GIVING BRAINLIEST ANSWER!!
Angle ABC is a straight angle. MAngleDBC = 130° and Ray B E bisects AngleABD. The center of line A C is point B. Two lines extend from point B. One line extends to the left and contains point E. Another line extends up and to the left and contains point D. What is mEBA? °
Answer:
25°
Step-by-step explanation:
Since ∠DBC = 130°, ∠DBC + ∠ABD = 180° (sum of angles on a straight line is 180°). Solving for ∠ABD:
∠DBC + ∠ABD = 180°
130 + ∠ABD = 180°
∠ABD = 180° - 130°
∠ABD = 50°
∠ABD is bisected by line BE, therefore ∠ABD = ∠EBA + ∠DBE (angle addition postulate).
The angle addition postulate states that if w is the interior of xyz then ∠XYZ = ∠XYW + ∠ZYW
Since E is the interior of ∠ABD, then:
∠ABD = ∠EBA + ∠DBE
But ∠EBA = ∠DBE
∠ABD = 2∠EBA
50 = 2∠EBA
∠EBA = 25°
Answer:
The answer is 25 degrees
g(t)=−9t−4g, left parenthesis, t, right parenthesis, equals, minus, 9, t, minus, 4
g\Big(g(g, left parenthesis
\Big)=23)=23
The resulting expression if the value of t is 23 is g(23) = -4g - 207
Function and valuesA function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given the function below;
g(t)=−9t−4g
We are to determine the value of g(23). Substitute t = 23;
g(t)=−9t−4g
g(23) = -9(23) - 4g
g(23) = -207 - 4g
g(23) = -4g - 207
Hence the resulting expression if the value of t is 23 is g(23) = -4g - 207
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Please solve these two expressions. They're for a test review. I have no clue how to and fell asleep in class again
2 (-2 × +5)
6 - 3x
1) 2(-2x + 5)
→ -4x + 10 = 0
-4x = -10
x = -10/-4
x = 5/2
2) 6 - 3x
→ -3x + 6 = 0
-3x = -6
x = -6/-3
x = 2
What is the measure of angle x?
10
20
30
40