Answer:
it's b I think. ... .........
Answer:
c
Step-by-step explanation:
Find the mode, median, mean, and range for each data set. Round the mean to two decimals places, where necessary.
Answer:
The median, mean, and mode of the data set are 5, 4.8, and both 4 and 5 respectively.
Step-by-step explanation:
To find the median of a data set, line up all values from greatest to least and find the number in the center. For example, in the set 1; 2; and 3, 2 would be the median. In this case, the order would be 2, 4, 4, 4, 5, 5, 5, 6, 6, 7. The two numbers in the middle are 5 and 5, their average is 5, so that would be the median. The mean of a data set is the average of all data values in a set. In this case, there are 10 data values, and their total sum is 48, so the mean of this data set is 4.8. The mode of a data set is the value that occurs the most in a set. In this case, 2 occurs once, 4 occurs three times, 5 occurs three times, 6 occurs twice, and 7 occurs once, so the mode of this data set is both 4 and 5.
A health club charges a one-time sign-up fee and a monthly membership fee. The
equation y = 28x + 50 represents what the health club charges. Find the rate of
change.
Answer:
The rate of change is 28.
Step-by-step explanation:
The equation is in slope-intercept form, y = mx + b, where m is the slope, and b is the y-intercept.
What is the meaning of "the notion of finiteness"?
The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.
In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.
In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.
This concept is essential to the development of computer programs that are efficient, reliable, and secure.
In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.
In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.
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According to the U.S. Mint, the number of quarters minted in 2018 was about 2 x 10°. The mass of a quarter is about 6 X 10-3 kg. Write the number of quarters and the mass of a quarter in standard form.
The number of quarters is 2 and mass of quarter is 0.006 Kg.
What is Scientific Notation?With scientific notation, one can express extremely big or extremely small values. If a number between 1 and 10 is multiplied by a power of 10, the result is written in scientific notation.
Given:
The number of quarters minted in 2018 was about 2 x 10°
and, The mass of a quarter is about 6 X \(10^{-3\) kg.
As, in standard form the decimal is place after one significant and the rest raised to 10 to the powers and if the number are in power then it can be written in form of decimal.
Here, number of quarters minted is already in standard form 2 x 10° or 2 x 1
and, mass of a quarter can be written as
= 6 X \(10^{-3\) k
= 6/ 10³
= 6/ 1000
= 0.006
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Which measurement is equivalent to 850 mg A 8,500 g ,B 8.5 kg, C 0.850 g, D 85 cm.
If triangle ABC is reflected across the line y = x, are the pre-image and image congruent? Why, or why not?
OYes, distance and angle measure are preserved
OYes, angle measure is preserved and distance is not
O No, distance is preserved but angle measure is not
O No, neither distance nor angle measure are preserved
The correct answer is: O Yes, distance and angle measure are preserved.
When a triangle ABC is reflected across the line y = x, the pre-image and image are congruent.
This is because the line y = x is the perpendicular bisector of the segment joining each corresponding point of the pre-image and image.
Reflection across the line y = x is a type of transformation known as an isometry, which preserves both distance and angle measure.
Here's why:
Distance preservation:
When a point is reflected across the line y = x, the distance between the original point and its reflection remains the same.
This holds true for all corresponding points of the triangle.
Therefore, the distance between any two corresponding points in the pre-image and image triangle will be equal, resulting in distance preservation.
Angle preservation: When a line segment is reflected across the line y = x, the angle between the line segment and the line y = x is preserved. This means that the corresponding angles in the pre-image and image triangle will be congruent.
Since both distance and angle measure are preserved during reflection across the line y = x, the pre-image and image triangles are congruent.
It's important to note that congruence under reflection across a line holds only when the line of reflection is the same for both the pre-image and image.
If the line of reflection were different, the triangles would not be congruent.
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Given that answer please
Answer:
<BCA = 44.4°
Step-by-step explanation:
Reference angle = <BCA = C
Opposite side length = x = 7 cm
Hypotenuse = y = 10 cm
Applying trigonometric ratio, we would have:
\( sin(C) = \frac{7}{10} \)
\( C = sin^{-1}(\frac{7}{10}) \)
\( C = 44.427004 \)
<BCA = 44.4° (to 3 SF)
*Today's Assignment*
Design a salary slip for the month of March 2023 with information given below.
Fixed vs variable ratio- 70:30
Ctc - 18L
Basic- 50%
Hra- 20%
Da - 12%
Insurance - 2500
Incentive- 75% target completion
Pf 12%
Earned leaves - 2
LOP - 4
Calculate net pay
A salary slip for the month of March 2023 with information given below.
Salary Slip - March 2023
Employee Details:
Name: [Employee Name]
Employee ID: [Employee ID]
Designation: [Employee Designation]
Earnings:
Basic Salary: [Basic Salary]
House Rent Allowance (HRA): [HRA]
Dearness Allowance (DA): [DA]
Incentive: [Incentive]
Total Earnings: [Total Earnings]
Deductions:
Provident Fund (PF): [PF]
Insurance: [Insurance]
Loss of Pay (LOP): [LOP]
Total Deductions: [Total Deductions]
Net Pay: [Net Pay]
Breakdown:
Basic Salary: 50% of CTC (18L) = [Basic Salary]
HRA: 20% of Basic Salary = [HRA]
DA: 12% of Basic Salary = [DA]
Incentive: 75% of target completion = [Incentive]
Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]
PF: 12% of Basic Salary = [PF]
Insurance: Rs. 2500 = [Insurance]
LOP: [LOP]
Total Deductions = PF + Insurance + LOP = [Total Deductions]
Net Pay = Total Earnings - Total Deductions = [Net Pay]
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One hundred samples of five data points were randomly selected from each of four
populations. The medians of each population's samples were plotted as shown below.
Another random sample was then taken from one of the populations and recorded as
follows:
{89, 91, 97, 95, 82}
From which population was this sample LEAST likely selected?
Talwar wants to invest R5800 at simple interest rate of 12,2% per annum. How many years will it take for the money to grow to R26100
It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.
To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:
Simple Interest = Principal × Rate × Time
Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:
Time = (Amount - Principal) / (Principal × Rate)
Plugging in the values, we have:
Time = (R26,100 - R5,800) / (R5,800 × 0.122)
= R20,300 / R708.6
≈ 28.67 years
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A copper pipe has an inside diameter of 3.00 cm and an outside diameter of 5.00 cm (see the figure(Figure 1)) - Part A What is the resistance of 19.0 m of this pipe?
The resistance of 19.0m of the given copper pipe is 1.19 x \(10^{-6}\) ohm.
The resistance of a pipe is given by the formula:
R = (p * L) / (A * n)
where R is the resistance, p is the resistivity of the material (in this case, copper), L is the length of the pipe, A is the cross-sectional area of the pipe, and n is the number of conductors (in this case, 1).
To find the cross-sectional area of the pipe, we first need to find the radius of the pipe. We can do this by taking the difference between the outside diameter and the inside diameter and dividing by 2:
r = (d_outside - d_inside) / 2
r = (5.00 cm - 3.00 cm) / 2
r = 1.00 cm
Now we can find the cross-sectional area of the pipe:
A = pi * \(r^2\)
A = pi * \((1.00 cm)^2\)
A = 3.14
Next, we can use the resistivity of copper, which is 1.68 x\(10^{-8}\) ohm-cm. Now we have all the values required to find the resistance of the pipe:
R = (p * L) / (A * n)
R = (1.68 x \(10^{-8}\) ohm-cm * 19.0 m) / (3.14 \(cm^2\) * 1)
R = (1.68 x \(10^{-8}\) ohm-cm * 19.0 m) / (3.14 \(cm^2\))
R= 1.19 * \(10^{-6}\) ohm
Therefore, the resistance of 19.0m of this pipe is 1.19 x \(10^{-6}\) ohm.
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Find the coordinates of the vertices of each image
2. T(-1,2) Rx-axis (QRST)
3.Ry-Axis r(180,O) (QRST)
4.r(90,O) T(-2,-3) (QRST)
5. (Ry-axis T(3,0)(QRST)
Answer:
Step-by-step explanation:
I'm ASSUMING that T means to translate by the ordered pair in (x, y) coordinates, and r means to rotate by the ordered pair (degrees, center of rotation) or mirrored about the given axis
2. T(-1,2) Rx-axis (QRST)
Q (1, 4) translates to (1 - 1, 4 + 2) = (0, 6) then mirrors to (0, -6)
R (3, -1) translates to (3 - 1, -1 + 2) = (2, 1) then mirrors to (2, -1)
S (0, 0) translates to (0 - 1, 0 + 2) = (-1, 2) then mirrors to (-1, -2)
T (-2, 2) translates to (-2 - 1, 2 + 2) = (-3, 4) then mirrors to (-3,-4)
3.Ry-Axis r(180,O) (QRST)
Q (1, 4) mirrors to (-1, 4) rotates to (1, -4)
R (3, -1) mirrors to (-3, -1) rotates to (3, 1)
S (0, 0) mirrors to (0, 0) rotates to (0, 0)
T (-2, 2) mirrors to (2, 2) rotates to (-2, -2)
4.r(90,O) T(-2,-3) (QRST)
Q (1, 4) rotates to (-4, 1) translates to (-6, -2)
R (3, -1) rotates to (1, 3) translates to (-1, 0)
S (0, 0) rotates to (0, 0) translates to (-2, -3)
T (-2, 2) rotates to (-2, -2) translates to (-4, -5)
5. (Ry-axis T(3,0)(QRST)
Q (1, 4) mirrors to (-1, 4) translates to (2, 4)
R (3, -1) mirrors to (-3, -1) translates to (0, -1)
S (0, 0) mirrors to (0, 0) translates to (3, 0)
T (-2, 2) mirrors to (2, 2) translates to (5, 2)
Answer:
There correct
Step-by-step explanation:
ITS A SIMPLE 50 POINT QUESTION! PLEASE HELP!
is y = 4 a relation?
Answer:
Y=4 is a function
Step-by-step explanation:
And to me function is relation
Hope i got this right and have a great day :)
Answer: Yes
Step-by-step explanation:
Yes, y = 4, which is often written as f(x) = 4, is a function that means “take any input, and no matter what it is, produce an output of 4”.
In each rule , copy the chart and fill in the missing parts
Answer:
7. 14
15. 30
28. 56
32. 64
18 36
x 2x
1/2y. y
2x. 4x
x+3 2x+9
Step-by-step explanation:
each out is double the in
Can someone help me on 3-6?
Directions: Find the volume of each figure. Round the nearest hundredth.
Using the formula of volume of a sphere and hemisphere, the volume of the figures are given as;
1. 2144.57 m³
2. 696.6 m³
3. 20569.1m³
4. 2637ft³
5. 56.5km³
6. 6381.79 in³
What is volume of sphere?The volume of a sphere is given as 4/3πr³
Where π is a constant whose value is equal to 3.14 approximately. “r” is the radius of the hemisphere.
1. The volume of the sphere is;
v = 4/3 * 3.14 * 8³ = 2144.57m³
2. The volume of the sphere is;
v = 4/3 * 3.14 * (11/2)³ = 696.6m³
3. The volume of the sphere is;
v = 4/3 * 3.14 * 17³ = 20569.1m³
4. The volume of the hemisphere is;
v = 2/3 * 3.14 * 10.8³ = 2637ft³
5. The volume of the hemisphere is;
v = 2/3 * 3.14 * 3³ = 56.5km³
6. The volume of the hemisphere is;
v = 2/3 * 3.14 * (29/2)³ = 6381.79in³
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Two numbers are 10 units away in different directions from
their midpoint, m, on a number line. The product of the
numbers is -99.
Which equation can be used to find m, the midpoint of the
two numbers?
(m - 5)(m + 5) = 99
O (m-10)(m + 10) = 99
m2 - 25 = -99
O m- 100 = -99
Answer:
The equation can be used to find m, the midpoint of the
two numbers is:
\(m^2-100 = -99\)
Step-by-step explanation:
Two numbers are 10 units away in different directions from their midpoint, m, on a number line.
Then, we can define the two numbers as:
\(x_1=m+10\\\\x_2=m-10\)
The product of the numbers is -99. This can be written as:
\(x_1\cdot x_2=-99\\\\(m-10)(m+10)=-99\\\\m^2-10m+10m-100=-99\\\\m^2-100=-99\\\\m^2=-99+100=1\\\\m=\pm1\)
Answer: Option D
(D) m2 – 100 = –99
Step-by-step explanation:
5. Using ΔJKL, what is the measure of angle K?
Answer:
\(K=76\)
Step-by-step explanation:
Starting with a few basic things we know, we know that all of a triangles angles add up to 180.
Therefore, we can set up and solve this equation for \(x\).
\((2x-6)+(x+22)+x=180\)
\(4x+16=180\)
\(4x=164\)
\(x=41\)
By plugging \(x\) back into all of the angles, we can verify that they all do indeed add up to 180.
\((2*41-6)+(41+22)+41=180\)
\((82-6)+(41+22)+41=180\)
\(76+63+41=180\)
\(180=180\)
Knowing that \(x=41\), we can use this information to find K.
\(K=(2x-6)\)
\(K=(2*41-6)\)
\(K=(82-6)\)
\(K=76\)
Answer: 76
Step-by-step explanation:
If you add all the angles they add up to 180
x+ (2x - 6) + (x + 22) = 180
x+ 2x - 6 + x + 22 = 180 >Combine like terms
4x + 16 = 180
4x = 164
x = 41
<K = 2x -6
<K = 2(41) - 6
<K = 76
express 72 1/2 as a percentage
Answer:
7250%
Step-by-step explanation:
To express 72 1/2 as a percentage, you need to convert it to a decimal first and then multiply by 100.
72 1/2 is equivalent to 72.5 as a decimal.
To convert it to a percentage:
72.5 * 100 = 7250
Therefore, 72 1/2 is equal to 7250% when expressed as a percentage.
let me know it is helpful for you or not
0.4 is one tenth of what number
Answer:
.4 is in the 10th place in a number so .4 is one tenth of 1
The given decimal is equivalent to the one tenth of 4.
What is a Decimal number?A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.
The given number in decimal form is 0.4.
In order to convert it in fraction, it can be written in the form of p/q as follows,
0.4 = 0.4/1
Multiply the numerator and denominator by 10 to obtain,
(0.4 × 10)/(1 × 10) = 4/10
Hence, the given number is one tenth of 4.
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heeeeeeeeelpppppppppppp
Answer:
1). x = 2.67 units
2). x = 4.80 units
3). x = 6.00 units
Step-by-step explanation:
1). By applying Pythagoras theorem,
Hypotenuse² = [Leg(1)]² + [leg(2)]²
12² = x² + b² [Let the base of both the triangles = b units]
144 = x² + b² ------(1)
Similarly, 13² = (x + 3)² + b²
169 = x² + 6x + 9 + b²
169 - 9 - 6x = x² + b²
160 - 6x = x² + b² ------(2)
From equation (1) and (2)
144 = 160 - 6x
6x = 160 - 144
x = \(\frac{16}{6}\)
x = 2.67 units
2). By applying Pythagoras theorem,
10² = x² + h² [Let the height of the triangle = h]
100 = x² + h² ------(1)
13² = (2x)² + h²
169 = 4x² + h² -----(2)
By substituting equation (1) from equation (2),
169 - 100 = (4x² + h²) - (x² + h²)
69 = 3x²
x² = 23
x = √23
x = 4.795
x ≈ 4.80 units
3). By applying Pythagoras theorem,
9² = x² + h² [Let the height of the triangle = h units]
81 = x² + h² ------(1)
7² = (x - 4)² + h²
49 = x² + 16 - 8x + h²
49 - 16 = x² + h² - 8x
33 + 8x = x² + h² -------(2)
From equation (1) and (2)
81 = 33 + 8x
8x = 48
x = 6.00 units
make x subject
u= cos 0.5x
By making x the subject of the formula in this equation u = cos(0.5x) gives x = 2cos⁻¹(u).
How to make x the subject of the formula?In Mathematics and Geometry, an equation can be defined as a mathematical expression which shows that two (2) or more thing are equal. This ultimately implies that, an equation is composed of two (2) expressions that are connected by an equal sign.
In this exercise, you are required to make "x" the subject of the formula in the given mathematical equation by using the following steps.
By taking the arc cosine of both sides of the equation, we have the following:
u = cos(0.5x)
cos⁻¹(u) = 0.5x
By multiplying both sides of the mathematical equation by 2, we have the following:
2 × cos⁻¹(u) = 0.5x × 2
x = 2cos⁻¹(u)
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if a coin is flipped 35 times and lands on heads 21 times what is the relative frequency of Landing on heads
Work Shown:
21/35 = (7*3)/(7*5) = 3/5
6x^2=-3x+1 to the nearest hundredth
The solutions to the quadratic equation 6x² = -3x + 1 to the nearest hundredth are -0.73 and 0.23.
What are the solutions to the quadratic equation?Given the quadratic equation in the question:
6x² = -3x + 1
To solve the quadratic equation 6x² = -3x + 1, we can rearrange it into standard form, where one side is set to zero:
6x² + 3x - 1 = 0
Now we can solve the equation using the quadratic formula, which states that for an equation in the form ax² + bx + c = 0, the solutions for x are given by:
\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\)
Here; a = 6, b = 3, and c = -1.
Let's substitute these values into the quadratic formula:
\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\\\\ x= \frac{-3 \±\sqrt{3^2-4\ *\ 6\ *\ -1} }{2*6}\\\\x = \frac{-3 \±\sqrt{9+24} }{12}\\\\x = \frac{-3 \±\sqrt{33} }{12}\\\\x = -0.73, \ x=0.23\)
Therefore, the values of x are -0.73 and 0.23.
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Which of the following measurements is a little more than 3 feet?
centiliter
meter
foot
centimeter
Submit
Pass
Pass
Don't know answer
meter I guess Is the correct answer
Answer:
A meter is approximately 3.28 feet.
John has 312ft of fencing for a rectangular garden. If the garden’s length is to be 6 ft more than 5 times its width, what should the gardens dimensions be?
Step-by-step explanation:
The given is that John has 312ft of fencing. (Think of the 312ft as the perimeter)
The garden's legth is 6 ft more than 5 times it's width.
Let X be the garden's width:
This is what we know about the length:
It is 5 times + 6 more than the width
Now that we know this, lets set an equation to find the garden's dimentions.
X + (5X+6) = 312
(because we know Y = X * 5 + 6)
Now it's time to simplify:
Simplified X is equal to 51, so this is the length.
From the given the length is 5 times + 6 more than the width so the length is 5*51+6 which is 261
Answer:
The width is 51 and the length is 261. Hope this is correct and hope this helps. Brainliest would help :)
A random sample of 12 families were asked how many kids they had. The data are given below. According to the US Census, families have on average 2.4 kids per family. What is the p-value for the alternative hypothesis that the average number of kids per family is different than the US Census value?
1 1 2 2 2 3 3 3 3 4 4 6
A) p-value = 1.070.
B) p-value = 0.154.
C) p-value = 0.846.
D) p-value = 0.308.
Answer:
0.308
Step-by-step explanation:
Given the data:
1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 6
We need to obtain the sample mean and sample standard deviation :
Sample mean, xbar = Σx/n
Where n = sample size (1+1+2+2+2+3+3+3+3+4+4+6) / 12 = 2.833
Sample standard deviation, s
Using the formula :
s = √Σ((x - xbar)² / n-1)
s = 1.40
Hypothesis :
H0 : μ = 2.4
H1 : μ ≠ 2.4
The test statistic :
(xbar - μ) ÷ (s/√(n))
(2.833 - 2.40) / (1.40/sqrt(12))
Test statistic = 1.0713
Using the Pvalue from Test score calculator :
df = n - 1 = 12 - 1 = 11 ; two tailed
Pvalue(1.071, 11)
= 0.3069
= 0.307
To the nearest degree, what is the measure of the central angle for faucets?
Answer:
43°
Step-by-step explanation:
Mrs. Ross the couselor, is helping plan a field at her middle school and is trying to decide what yard games to buy. She randomly surveyed 80 students at lunchtime anf asked about the yard game each one preferref. The results of the survey are shown in the table. Bean bag toss 14 checkers 16 connect 4 28 jenga 14 tic tac toe 8, based on the results in the table, which statement is true? A a student is more likely to prefer tic tac toe or connect 4 than checker or jenga. B a student is four times as likely to prefer connect 4 as tic tac toe. C a student is twice as likely to prefer tic tac toe as checkers. D a student is less likely to prefer checkers or bean bag toss than jenga or tic tac toe.
To determine which statement is true, we need to compare the number of students who prefer each game relative to the total number of students surveyed.
The total number of students surveyed is:
14 + 16 + 28 + 14 + 8 = 80
A) To find the probability of a student preferring tic tac toe or connect 4 versus checker or jenga, we add the number of students who prefer tic tac toe or connect 4:
28 + 8 = 36
And add the number of students who prefer checker or jenga:
14 + 16 + 14 = 44
Therefore, statement A is false.
B) To find the probability of a student preferring connect 4 versus tic tac toe, we divide the number of students who prefer connect 4 by the number of students who prefer tic tac toe:
28/8 = 3.5
Therefore, statement B is false.
C) To find the probability of a student preferring tic tac toe versus checkers, we divide the number of students who prefer tic tac toe by the number of students who prefer checkers:
8/16 = 0.5
Therefore, statement C is true.
D) To find the probability of a student preferring jenga or tic tac toe versus checkers or bean bag toss, we add the number of students who prefer jenga or tic tac toe:
28 + 8 = 36
And add the number of students who prefer checkers or bean bag toss:
14 + 16 = 30
Therefore, statement D is true.
Therefore, the correct answer is option D: a student is less likely to prefer checkers or bean bag toss than jenga or tic tac toe.
a glass storage container is in the shape of a right circular cylinder with a radius of 1.38 cm. 100.8 sqcm of glass was used to make the cylindrical glass storage container. What is the height in centimeters of the container?
The height οf the cylindrical glass stοrage cοntainer is apprοximately 10.59 cm.
What is surface area οf a right circular cylinder ?The vοlume οf a cylinder is π r² h, its surface area is 2π r h + 2π r².
We knοw that the tοtal surface area οf the cοntainer is 100.8 sqcm.
The surface area οf a right circular cylinder is given by the fοrmula:
\(SA = 2\pi rh + 2\pi r^2\)
where h is the height οf the cylinder and r is the radius.
Substituting the given values, we have :
\(100.8 = 2\pi (1.38)h + 2\pi (1.38)^2\)
Simplifying and solving for h, we get:
\(100.8 = 2\pi (1.38)h + 2\pi (1.38)^2\\\\100.8 = 8.616h + 9.568\\\\91.232 = 8.616h\\\\h = 10.59 cm\)
Therefοre, the height οf the cylindrical glass stοrage cοntainer is apprοximately 10.59 cm.
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Is n = 6 a solution of the equation 3n + 5 = 22?
Answer:
no
Step-by-step explanation:
is not a solutions of the equation