radius = 3 cm, height = 4.1 cm
O a. 115 cm
b. 106 cm3
c. 116 cm3
O d. 45 cm
3

The surface area of the cylinder is 948m²

The area occupied by a three-dimensional object by its outer surface is called the surface area. The surface of a cylinder is expressed as ;

SA = 2πr(r+h)

Where r is the radius of the base and h is the height of the cylinder.

r =8m

h = 4m

SA = 2 × 3.14 × 8 (8+4)

SA = 78.96 × 12

SA = 947.52 m²

to the nearest whole number

SA = 948 m²

therefore the surface area of the cylinder is 948 m²

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Fast food menus have increased in size and calories over the past 30-plus years due to market demand and competition.

Two all around upheld perceptions about changes in the size and calories of cheap food menu things over the beyond 30 or more years are:

The part sizes of inexpensive food menu things have expanded altogether over the long haul. During the 1980s, a run of the mill inexpensive food burger was roughly 333 calories, while today, a commonplace cheap food burger contains around 590 calories.

Likewise, the size of soda pops, french fries, and different sides has additionally expanded. This pattern is probable driven by customers' desired insight more incentive for their cash and by the inexpensive food industry's attention on expanding benefits.

The calorie content of cheap food menu things has additionally expanded after some time. The expansion in calorie content is because of the utilization of additional handled fixings and the option of fatty garnishes and sauces.

Furthermore, cheap food organizations frequently offer bigger piece sizes for just a little expansion in cost, empowering clients to eat more calories.

These progressions have added to the increasing paces of heftiness and other eating regimen related medical conditions in numerous nations.

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It is just a way of describing a set.

You put the set in braces (sometimes called curly brackets), {}, which is a typical way to show that you are talking about sets.

Here are a few examples:

{x| x > 0} This is read: The set of all x such that x is greater than 0.

Reading it character by character:

{ — shows you that we are talking about a set, and it sort of opens up, or starts the set

x — tells you that we are talking about a set of elements x

| (and a : is also used sometimes) — such that (this is just notation). This says that you are about to be given to rule to see what “rule” or characteristic the x’s will have.

x > 0 — This just says what characteristics x must have to be in this set. So 7, 1/2, .3 and pi are all in this set, while -1, 0, -radical(2) are not.

So this example is just how you would use set builder notation to talk about the set “the positive real numbers”

So why use it? Because it can describe more complicated sets much more succinctly.

2. {3n + 1 | n is an element of the natural numbers} (and this could be written more succinctly if I used certain symbols) would be the set {4, 7, 10, 13, …}

3. {n^2 + n + 1 | n is an element of the natural numbers} would be the set {3, 7, 13, 21, …} and notice here, if you didn’t see the set builder notation, you might have trouble knowing what the next term in the set was.

Answer:

a_5 = 1,500

Step-by-step explanation:

1. Determine the given of the problem.  

       a_n – unknown sequence  

        a_1 – 3/20  

        r – ((3⁄2)/(3⁄20)) = 10  

        n – 5  

2. Substitute the given to the formula of the geometric sequence.  

           a_n = a_1 r^(n-1)

           a_5 = (3/20) (10)^(5-1)

3. Solve the given problem.  

           a_5 = (3/20) (10)^(5-1)       - Subtract the exponent.  

           a_5 = (3/20) (10)^(4)          - Multiply 1/10 to the exponent.  

           a_5 = (3/20)(10000)          - Multiply it.  

           a_5 = (30000/20)             - Divide it.  

           a_5 = 1,500                       - Answer of the problem.

the answer is 1500

correct me if you want

Divide the amount paid by the rate:

300 / 1.5 = 200

Multiply that by the 100

200 x 100 = 20,000 per month

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

163. The distance between A(-5, 6) and B(5, -5) is: AB ≈ 14.9 units

164. Applying the Pythagorean theorem, we have: Diagonal ≈ 21.2 ft.

165. Marissa's final answer is wrong. It should be, c = √676 = 26 units.

166. Missing side = 29 ft.

The Pythagorean theorem states that c² = a² + b², given that a and b are shorter legs and c is the hypotenuse or longest leg of the right triangle.

163. The distance between A(-5, 6) and B(5, -5):

AB = √[(5−(−5))² + (−5−6)²]

AB = √221

AB ≈ 14.9 units

164. Apply the Pythagorean theorem to find the diagonal:

Diagonal = √(15² + 15²) ≈ 21.2 ft.

165. The answer Marissa got is wrong. The final answer which is the square root of 676 is:

c = √676 = 26 units.

166. Missing side = √(20² + 21²) = 29 ft.

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Answer:

1

Step-by-step explanation:

Quadrilateral=4sides

Triangle=3sides

Difference=4-3=1

 the income tax payable on a salary of Birr 5200 is Birr 320.

In Ethiopia, income tax is calculated based on a progressive tax system where the tax rate increases as the taxable income increases. The formula for calculating income tax on monthly salary is as follows:

Taxable income = Gross monthly salary - Deductions

Tax payable = Tax rate * (Taxable income - Tax threshold) - Allowances

Where:

1. Gross monthly salary: Total salary before any deductions.

2. Deductions: Includes mandatory deductions such as employee social security contributions, pension contributions, and other authorized deductions.

3. Taxable income: Gross monthly salary minus deductions.

4. Tax rate: The percentage of tax applicable to the taxable income based on the tax bracket.

5. Tax threshold: The minimum amount of taxable income before tax is applicable.

6. Allowances: Includes authorized tax deductions such as dependant's allowance and other authorized allowances.

To calculate the income tax on a salary of Birr 5200, we need to determine the taxable income first. Let's assume that the gross monthly salary is Birr 5200, and there are no deductions.

Taxable income = Birr 5200 - 0 = Birr 5200

Next, we need to determine the tax rate applicable to this taxable income based on the tax bracket. For the taxable income range of Birr 5251 to 7800, the tax rate is 10%. Therefore, the tax rate applicable to Birr 5200 is 10%.

Tax rate = 10%

Now, we need to determine the tax threshold and the allowances applicable to this taxable income. Let's assume that the tax threshold is Birr 2000, and there are no allowances.

Tax threshold = Birr 2000

Allowances = 0

Using the formula mentioned earlier, we can calculate the income tax payable as follows:

Tax payable = 10% * (Birr 5200 - Birr 2000) - 0

Tax payable = Birr 320

Therefore, the income tax payable on a salary of Birr 5200 is Birr 320.

To derive the formula to calculate income tax on Birr x, we can use the same formula mentioned earlier. We can express the formula in terms of x as follows:

Taxable income = x - Deductions

Tax payable = Tax rate * (Taxable income - Tax threshold) - Allowances

Where:

1. x: Gross monthly salary.

2. Deductions: Includes mandatory deductions such as employee social security contributions, pension contributions, and other authorized deductions.

3. Taxable income: Gross monthly salary minus deductions.

4. Tax rate: The percentage of tax applicable to the taxable income based on the tax bracket.

5. Tax threshold: The minimum amount of taxable income before tax is applicable.

6. Allowances: Includes authorized tax deductions such as dependant's allowance and other authorized allowances.

We can use this formula to calculate the income tax payable on any salary falling within the Birr 5251 to 7800 taxable income range.

In conclusion, income tax in Ethiopia is calculated based on a progressive tax system, where the tax rate increases as the taxable income increases. To calculate income tax on a salary of Birr 5200, we need to determine the taxable income, tax rate, tax threshold, and allowances applicable to that salary. We can use the same formula to calculate income tax on any salary within the Birr 5251 to 7800 taxable income range.

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The expression in the options which is equivalent to the given expression is D. (22x + 48) / (x² - 36).

Given expression is,

[15 / (x - 6)] + [7 / (x + 6)]

Cross multiplying the two fractional expressions,

= [15 (x + 6) + 7 (x - 6)] / [(x - 6) (x + 6)]

= [15x + 90 + 7x - 42] / [x² - 6²]

= (22x + 48) / (x² - 36)

Hence the equivalent expression is D.

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First we turn the 17.2 km into mm. To do that we turn it into 17,200 m then into 1,720,000 cm then into 17,200,000 mm. Then we just divide 17.2 million by 86 so 17,200,000÷86=200,000. so we know that the scale of the map is 1:200,000. Also pls mark as brainliest answer thx.

......,,........,.....-.......

The median would best describe the centre of the distribution for a highly skewed right histogram of US household income.  The correct option is A.

The median is the value that separates the distribution into two equal parts and is less influenced by extreme values than the mean.

Since a highly skewed right distribution has a long tail on the right side, the mean is likely to be pulled towards that tail, making it an unreliable measure of the centre.

The mode, or most frequently occurring value, may not be useful for describing the centre of a skewed distribution. The variance is a measure of the spread or dispersion of the data, not its centre.

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Answer:

0.00991, 42%, 68%, 3/4

Step-by-step explanation:

WAWWWAWAWAWAWAA

Answer:

Answer will be 55898.

Step-by-step explanation:

Answer:

A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n - 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n - 2) * 180 / n.

Step-by-step explanation:

140

∘

Each interior angle of regular polygon of n sides is given by  

n

180(n−2)

​

 degree

∴ each interior angle =

9

180(9−2)

​

degree

=20×7

=140

Answer:

first one is c and second one is acute

Step-by-step explanation:

acute angle which is 45

Answer:

Q.11 x=11

Q.12 complementary angles

Q.10 142 degrees

Answer:

337.5 and also 202.5

Step-by-step explanation:

do 8x = 540 since 5 and 3 are in a ratio... so you get 5x plus 3x. Then you solve for x and get 67.5..67.5 times 3 is 202.5 and 67.5 times 5 is 337.5.

Answer:

Hi,

\(A=\frac{base_{1} +base_{2} }{2} *h\\\\A=(base_{1} +base_{2} ) *h *\frac{1}{2} \\\\A=(70ft + 130ft) * 50ft *\frac{1}{2} \\\\A=5000ft^{2}\)

each bag covers 3000 ft²

\(N_{number of bags} = 5000ft^{2} / 3000ft^{2} \\\\N_{number of bags} = 1.6\)

We need to purchase two bags fertilizer, but will use one and a half of them.

Have a good day.

Answer:

Step-by-step explanation:

opposite angles are equal

12x - 18 = 8x + 10

combine similar terms:

12x - 8x = 10 + 18

4x = 28

x = 28/4

x = 7

plugin the value of x=7 back into the equation to solve the angle

= 12x - 18

= 12(7) - 18

= 66

= 8x + 10

= 8(7) + 10

= 66

Answer:45

Step-by-step explanation:

9×5=45

================================================

Work Shown for problem 1

P(pink, then violet) = P(pink)*P(violet given 1st was pink)

= (4/14)*(2/13)

= 8/182

= 4/91

------------------------------

Work Shown for problem 2

P(gray, then gray)

= P(gray)*P(gray given 1st was gray)

= (3/14)*(2/13)

= 6/182

= 3/91

-------------------------------

Work Shown for problem 3

P(not yellow, not yellow)

= P(not yellow)*P(not yellow given 1st was not yellow)

= (9/14)*(8/13)

= 72/182

= 36/91

-------------------------------

Work Shown for problem 4

P(yellow, not yellow)

= P(yellow)*P(not yellow given 1st was yellow)

= (5/14)*(9/13)

= 45/182

The steps that Patel could he use to solve the quadratic equation include:

8(x² + 2x) = –3

8(x² + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

It is preferred to solve quadratic equations without the use of the known quadratic formula solver. This can be completing squares and solving for x.

The equation given is:

8x² + 16x + 3 = 0

8(x² + 2x) = -3

Completing squares in the brackets and balancing the equation:

8(x² + 2x + 1) = -3 + 8

Factoring the perfect square will give 8(x + 1)² = 5.

This is illustrated in the options picked for the step.

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Answer: 2/90 = 1/45

Step-by-step explanation:

Answer:

54.91

Step-by-step explanation:

64.6/x=100/85

(64.6/x)*x=(100/85)*x

64.6=1.17*x  (divide both sides of the equation by 1.17 to get x)

54.91=x

x=54.91

now we have 85% of 64.6= 54.91

Answer:

76

We make the assumption that 85 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that 100% = 85

The function g from the indicated transformation of the graph of f is g(x) = 4 - |x  - 2|

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The equation of the function f is given as :

F(x) = 4-|x+1|

Shifting of a graph is done by adding any arbitrary constant to the function in shifting.

For example, If shift up by 1 unit,  add 1 to the function

So the function g(x) is 3 units to the right of the function f(x)

⇒ g(x) = f(x - 3)

So, F(x - 3) = 4 - |x - 3+ 1|

Evaluate both equations,

⇒ F(x - 3) = 4 - |x  - 2|

⇒ g(x) = 4 - |x  - 2|

Hence, the function g from the indicated transformation of the graph of f is g(x) = 4 - |x - 2|

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Answer:

standard deviation=4.472

variance=8.94437

The variance and standard deviation of the sample with data values of 7, 19, 8, 15, and 11 are 25 and 5 respectively.

A variable's value change could be accompanied by changes in other, related variables in a variety of ways. Variation refers to the relationship between the change in a variable's value when the values of the linked variables change.

Given:

The sample data = 7, 19, 8, 15, 11,

Calculate the Variance by the following formula,

Variance = Σ(xⁿ -m)² / t -1

Here x is the value of observation, m is the mean, and t is the total no of data.

For mean = (7+19+8+15+11) / 5

m = 12

Now substitute the values in the variation formula,

Variance = (12-7)²+(12-19)² + (12-8)² + (12-15)² +(12-11)² / 5-1

Variance = (25 + 49 + 16 + 9 + 1) /4

Variance = 25

And for deviation = \(\sqrt{variance}\)

Deviation = \(\sqrt{25}\)

Deviation = 5

Therefore, the variance and standard deviation of the sample with data values of 7, 19, 8, 15, and 11 are 25 and 5 respectively.

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Answer: 16j^3+2

Step-by-step explanation:

Step-by-step explanation:

This is an equation, where we need to find the value of x.

To solve this equation, we can first use the distributive property to expand 3.4(x + 7) which gives 3.4x + 3.4 * 7 = 3.4x + 23.8

Now we have the equation:

3.4x + 23.8 - 2.1 = 35.5

Next, we can add 2.1 to both sides of the equation:

3.4x + 23.8 = 37.6

Then, we can subtract 23.8 from both sides of the equation:

3.4x = 13.8

Finally, we can divide both sides of the equation by 3.4 to find the value of x:

x = 4

Therefore, the value of x that solves the equation is 4.

Answer:

The vertical asymptote is at x = -3, and the horizontal asymptote is at y = 1, so the correct answer is C.

By looking at the unit circle we will have that the point that corresponds to 5pi/4 radians is: