Hi, so I was wondering if anyone knows the surface area of a cylinder if the diameter is 7.5? Thank you so much! :)

Answers

Answer 1

Answer:

206.17

Key(s):

[tex]A = 2\pi \frac{d}{2} h + 2\pi \left(\frac{d}{2}\right)^2[/tex]

Substitute d for the actual diameter, 7.5, and h for the height, which is 5.

Step-by-step explanation:

[tex]A = 2\cdot\pi \cdot\frac{7.5}{2} \cdot5 + 2\cdot\pi \cdot\left(\frac{7.5}{2}\right)^2[/tex] ≈ 206.17(2 DP)


Related Questions

1940 people attended a basketball game. 679 of the people attending supported the home team, while 1261 supported the visiting team. What percentage of people attending supported the home team?

Answers

Answer:

35%

Step-by-step explanation:

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

The percentage of people who supported the home team is 35%.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

20% = 20/100 = 1/5

25% = 25/100 = 1/4

We have,

Number of people who attended the basketball game = 1940

Number of people who supported the home team = 679

Number of people who supported the visiting team = 1261

The percentage of people who supported the home team.

= [ Number of people who supported the home team / Total number of people who attended the basketball game ] x 100

= [679 / 1940] x 100

= 67900 / 1940

= 35%

Thus,

The percentage of people who supported the home team is 35%.

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2x(x-5) -x (3 + 2x) = 26
help me pls

Answers

Answer:

x = -2

Step-by-step explanation:

[tex]2x(x-5)-x(3+2x) = 26\\2x^{2} -10x-3x-2x^{2} = 26\\-13x=26\\x=\frac{26}{-13} \\=-2[/tex]

Its basically the order of operations, from left to right , evaluate brackets (if possible), then multiplication or division, lastly followed by addition or subtraction.

2x2-10x-3x-2x2=26

Eliminam opusele

reducem termenii

-13x=26

imparte ambele parti

x=-2

Step-by-step explanation:

Help!! Due tomorrow. x(x − 8) = 0

Answers

Answer: x = 0, 8

Step-by-step explanation:

x = 0

x - 8 = 0 ⇒ x = 8 (move 8 to the right)

x = 0, 8

X=0 or X=8 both of these answers are correct

A survey found that 3 out of 100 randomly selected people have red hair. How many people in a group of 12,000 randomly selected people are likely to have red hair?

Answers

Answer:

360 people out of 1200 are likely to have red hair.

Step-by-step explanation:

So I just saw that 100 x 120 equals 1200. So I just need to multiply 3 x 120 and I got 360. I think this is how to solve?

If the sales tax rate is 9.75 % in California, then how much would you pay in Los Angeles for a pair of shoes that cost $39.00?

Answers

Answer:

$42.80

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 9.75%/100 = 0.0975 per year.

Solving our equation:

A = 39(1 + (0.0975 × 1)) = 42.8025

A = $42.80

The total amount accrued, principal plus interest, from simple interest on a principal of $39.00 at a rate of 9.75% per year for 1 years is $42.80.

Answer:

Sales tax is $3.8.  So total would be 39.00+3.8= $42.8

Step-by-step explanation:

What is the area of the following triangle in square meters? Do not round your answer.



A
=


m
2

Answers

The area of the triangle will be 3240 square centimeters.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The diagram is given below.

The height of the triangle is 120 cm and the base of the triangle is 54 cm.

Then the area of the triangle will be

Area = 1 / 2 x 120 x 54

Area = 3240 square cm

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Answer:

0.324

Step-by-step explanation:

Peter built a chest that measures 2 feet by 11
2
feet by 1 foot. He wants to fill the chest with plastic coins.

A prism has a length of 2 feet, height of 1 foot, and width of 1 and one-half feet.

What is the maximum amount of space that the chest can hold?
The maximum amount of space is
cubic feet.

Answers

Answer:

3

Step-by-step explanation:

got it on edge

What is the area, in square units, of the polygon shown here?

A figure in the shape of a block letter L with a vertical height of 8 units and a length of 5 units is shown. The length of the top of the L is 2 units and the height of the right side of the L is 1 unit.

14 units2

16 units2

17 units2

19 units2

Answers

The area of a 2D form is the amount of space within its perimeter. The correct option is D.

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The area of the L block will be the sum of the area of A and B. Therefore, the area can be written as,

Area of L block = Area of A + Area of B

                          = (7×2) units² + (1 × 5) units²

                          = 14units² + 5units²

                          = 19units²

Hence, the correct option is D.

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please help me grades are do today

Answers

Answer:

28

Step-by-step explanation:

[tex]sin=\frac{opp}{hyp}[/tex]

[tex]cos = \frac{adj}{hyp}[/tex]

[tex]cos^{-1}\left(\frac{45}{51}\right)[/tex]

which is 28.07 degree

[tex]sin\left(28.07\right)=\frac{x}{51}[/tex]

x= 23.99

23.99+4=h=28

When an apple is dropped from a tower 256 feet high, the function h(t) = -16t2 + 256 models
the height of the apple, in feet, after t seconds. Determine, algebraically, the number of second
it takes the apple to hit the ground.

Answers

The number of second it takes the apple to hit the ground is 4 seconds

To answer the question, we need to know what functions are

What are functions?

Functions are mathematical equations that show the relationship between two variables

Given that when an apple is dropped from a tower 256 feet high, the function h(t) = -16t² + 256 modelshe height of the apple, in feet, after t seconds.

Time it takes the apple to hit the ground

The time it takes the apple hits the ground is when h(t) = 0

So, h(t) = 0

-16t² + 256 = 0

-16t² = -256

t² = -256/-16

t² = 16

t = ±√16

t = ±4

Since t ≥ 0, t = 4 seconds

So, the number of second it takes the apple to hit the ground is 4 seconds

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Help quick!

An unknown number is not equal to 4.98 but rounds to 4.98 when rounded to the nearest hundredth. Which of the following could be the unknown number?

4.999
4.992
4.986
4.984

Answers

Answer:

the answer is  4.979

Step-by-step explanation:

Answer:

The answer is 4.979

Step-by-step explanation:

Tyger buys his car for $6900 he spends some Time repairing it and improving it. He sells it for $9200. What is his percentage profit? ​

Answers

If Tyler sold his car for $9200, then the approximate percentage profit for this product is 33.3%.

How to calculate the percentage?

Final price - initial price

$9200 - $6900 = 2300

Calculate the percentage $2300 is equivalent to by using the information you already have.

6900 = 1002300 = xx= 100 x 2300/ 6900x= 33.3%

33.3% is the profit percentage.

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In Walter's class, 14 of the 25 students ride the bus. In Sasha's class, 11 of the 20 students ride the bus. Which class has a greater percent of students who ride the bus?

Answers

The class which has a greater percent of students who ride the bus is Walter's class

How to find percentage?

Walter's class:

14 of the 25 students ride the bus

Percentage of students who ride bus = 14 / 15 × 100

= 0.933 × 100

= 93.3%

Sasha's class:

11 of the 20 students ride the bus

Percentage of students who ride bus = 11 / 20 × 100

= 0.55 × 20

= 55%

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A principal of $3900 is invested at 7.5% interest compounded annually how much will the investment be worth after 9 years

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3900\\ r=rate\to 7.5\%\to \frac{7.5}{100}\dotfill &0.075\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &9 \end{cases} \\\\\\ A=3900\left(1+\frac{0.075}{1}\right)^{1\cdot 9}\implies A=3900(1.075)^9\implies A\approx 7477.23[/tex]

If x^2+y^2=13 and xy=6 then find the value of x^4+y^4

Answers

Recall that (a + b)² = a² + 2ab + b².

Let a = x² and b = y². Then

(x² + y²)² = (x²)² + 2x²y² + (y²)²

⇒   x⁴ + y⁴ = (x² + y²)² - 2 (xy)²

Given that x² + y² = 13 and xy = 6, we have

x⁴ + y⁴ = 13² - 2×6² = 97

7. A triangle has an area of 20 in². If the height of the
triangle is 5 inches, find the base of the triangle.

Answers

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

in our case

baseline × 5 / 2 = 20 in²

baseline × 5 = 40

baseline = 8 in

Vanessa uses the expressions (3x² + 5x + 10) and (x² – 3x - 1) to represent the length and width of her patio.
Which expression represents the area (w) of Vanessa's patio?


a) 3x4-4x³-8x²-35x-10

b) 3x4+14x³+22x²+25x-10

c) 3x4-4x³+22x²+35x+10

d) 3x1+14x³+28x²+35x+10


I’m not really the best at math, my apologies. Thank you.

Answers

Answer:

a) 3x⁴-4x³-8x²-35x-10

Step-by-step explanation:

3x2(x²-3x-1)+5x(x²-3x-1)+10(x²-3x-1)

3x⁴-9x³-3x²+5x³-15x²-5x+10x²-30x-10

3x⁴-9x³+5x³-3x²-15x²+10x²-5x-30x-10

3x⁴-4x³-8x²-35x-10

The expression  3x⁴ + 11x³ - 15x² - 40x - 10 represents the area (w) of Vanessa's patio

What is Expression?

An expression is combination of variables, numbers and operators.

The area (w) of Vanessa's patio can be found by multiplying the length and width expressions:

w = (3x² + 5x + 10)(x² – 3x - 1)

Expanding this expression using the distributive property, we get:

w = 3x⁴ - 4x³ - 8x² + 15x³ - 25x² - 10x + 10x² - 30x - 10

Simplifying this expression, we get:

w = 3x⁴ + 11x³ - 15x² - 40x - 10

Hence, the expression  3x⁴ + 11x³ - 15x² - 40x - 10 represents the area (w) of Vanessa's patio

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How do I solve this using Sin or Cosine law?

Answers

Those two have both two formulas but when dealing with a not-right triangle which is a particular case you use this formula for sines.

[tex]\frac{SinC}{c} =\frac{SinR}{r}[/tex]

Substitute

Note: the capital letters are for the angles and the small letter are for the sides.

But since we used side R and there is no angle to substitute. you will basically have to find it by adding the two angles given and subtracting it by 180, which is a 100.

[tex]\frac{Sin(7)}{1.9} =\frac{Sin100}{x}[/tex]

now you do the butterfly method or cross multiplication method.

[tex]xsin(7)=1.9sin(100)[/tex]

You have to isolate the x

[tex]\frac{xsin(7)}{sin(7)} =\frac{1.9sin(100)}{sin(7)}[/tex]

now cancel and plug the right side of the equation into your calculator and u get the answer for the missing side.

[tex]x= 15.35[/tex] or if u want to round it [tex]15.4[/tex]

<R = 100 and side CK= 15.35 or 15.4

Hope I helped! ^w^

TheOneAndOnlyLara~

What is the inverse of f(x)=x^4+7 for x>0 where function g is the inverse of function f?
-

Answers

Answer:

[tex]g(x) = \sqrt[4]{x-7},~ x\geq 7[/tex]

Step by step explanation:

[tex]y= f(x) = x^4+7\\\\\text{Replace x with y and solve for y:}\\\\~~~~~~~x = y^4 +7\\\\\implies y^4 = x-7\\\\\implies y = \pm\sqrt[4]{x-7}\\\\ \implies f^{-1}(x) = \pm\sqrt[4]{x-7}[/tex]

Mark is planning to swim the 200-yard freestyle event at the next
swim meet. The host team measures distance using meters. How
many meters will Mark swim
in this event?

Answers

Mark will swim 182.88 meters

What is the slope of the line y = x + 1?

Answers

Answer:

The slope of the line y = x + 1 is equal to 1.

General Formulas and Concepts:
Algebra I

Slope-Intercept Form:
[tex]\displaystyle y = mx + b[/tex]

m - slopeb - y-intercept

Step-by-step explanation:

Step 1: Define

Identify given equation.

[tex]\displaystyle y = x + 1[/tex]

Step 2: Find Slope m

Let's compare our given equation to the general equation Slope-Intercept Form to identify our values for slope m and y-intercept b:

Compare:
[tex]\displaystyle \begin{aligned}y & = mx + b \\y & = x + 1 \\\end{aligned}[/tex]

We can see that our y-intercept b is equal to 1. Let's rewrite our given expression:

Rewrite:
[tex]\displaystyle \begin{aligned}y & = mx + b \\y & = x + 1 \\& = (1)x + 1 \\\end{aligned}[/tex]

Here, we can identify our slope m to be 1.

∴ the slope of the given line is equal to 1.

___

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Topic: Algebra I

Solving for interior angle measures, what is the m

Answers

Using the triangle sum theorem, the value of angle ACB in the triangle is: B. 50°.

What is the Triangle Sum Theorem?

According to the triangle sum theorem, the sum of all the angles in a triangle equals 180 degrees.

90 + 7x - 20 + 4x = 180

70 + 11x = 180

11x = 180 - 70

11x = 110

11x/11 = 110/11

x = 10

m∠ACB = 7x - 20

Plug in the value of x

m∠ACB = 7(10) - 20

m∠ACB = 50° (option B).

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solve. -16 < 3x + 5 < 14

Answers

Answer: -7 < x < 3

Step-by-step explanation:

-21 < 3x < 9

-7 < x < 3

John borrowed $ from bank for 3 years at a rate of 10%
a) Find the simple interest
b) Find the the total amount paid​

Answers

Given:P= $12500R= 10%T= 3 yearsNote that:P= Principal amount R= Rate of interest T= Time period To find:The simple interestThe total amount paidSolution:

[tex]\large\boxed{Formula: I= \frac{PRT}{100}}[/tex]

First, we'll have to multiply, principal amount (12500), rate (10) and time period (3).

[tex]12500×10×3[/tex]

[tex]=375000[/tex]

Now, we'll have to divide the amount (375000) by 100.

[tex]\frac{375000}{100}[/tex]

I=$3750

Now, we can find the total amount paid.

[tex]\large\boxed{A=SI+P}[/tex]

Let's substitute according to the formula.

[tex]A=3750+12500[/tex]

A=$16250

Therefore, simple interest is $3750 and $16250 was paid in total.

Please help me, greatly appreciate it!

Answers

Answer: See the screenshots below

I'm answering in this format because the questions aren't numbered, so its hard to reference them consistently (so we're both on the same page).

All decimal values are approximate. I decided to round to 4 decimal places, but feel free to use another level of precision.

I would really appreciate it if someone helped answer these 4 questions. I will rate 5 stars. Thank you (:

Answers

Answer:

7. 13.6

8. 19.5

9. 6.5

10. 12.6

Step-by-step explanation:

Recall the three main trig functions

Sine = opposite / hypotenuse

Cosine = adjacent / hypotenuse

Tangent = opposite / adjacent

( remember hypotenuse = longest side length , opposite = side length opposite of angle , and adjacent = side length thats not the opposite or hypotenuse )

We will use these to solve each problem

7.

We are given :

An angle with a measure of 39 degreesThe angles opposite side length The adjacent side as the unknown

When dealing with opposite and adjacent we use tangent

We have tan = opp / adj

==> plug in opp = 11 and adj = x as well as given angle 39

tan(39) = 11/x

==> multiply both sides by x

xtan(39) = 11

divide both sides by tan(39)

x = 11/tan(39)

plugging this into a calculator , we get x = 13.6 ( rounded )

8.

We are given :

an angle with a measure of 46 degreesthe hypotenuse which has a length of 28and the adjacent as the unknown

When dealing with adjacent and hypotenuse we use cos

We have cos = adj / hyp

==> plug in given angle 46 , adj = x and hyp = 28

cos(46) = x/28

==> multiply both sides by 28

x = 28cos(46)

plugging this into a calculator we get  x = 19.5 ( rounded )

9.

We are given :

an angle with a measure of 51 degreesits opposite side length with a length of 8 the adjacent side length as the unknown

When dealing with the opposite and adjacent we use tangent

We have tan = opp / adj

==> plug in 51 degrees for angle , opp = 8 and adj = x

tan(51) = 8/x

==> multiply both sides by x

xtan(51) = 8

==> divide both sides by tan(51)

x=8/tan51

plugging this into a calculator we get that x = 6.5 ( rounded )

10.

We are given:

an angle with a measure of 24 degreesthe hypotenuse which has a length of 31the side length opposite of given angle as the unknown

When dealing with the opposite and hypotenuse we use sine

We have sin = opp / hyp

==> plug in angle as 24 , opp = x and hyp = 31

sin(24) = x / 31

==> multiply both sides by 31

31sin(24) = x

plugging this into a calculator we get that x = 12.6 ( rounded )

And we are done!

Let me know if you have any doubts in the comments ! : )

Serena bought a video game on sale for $23.88. The original price was $44.69. How much
money did Serena save buying the game on sale?

Answers

Answer:

i just need points

Step-by-step explanation:

sorrry ehburbvuygvuywhefe2b yvfb we

The answer is $20.81 I used a calculator

When surveyed, the ratio of students who preferred Science class to English class was 5:4. If 90 students were surveyed, how many students chose Science?​

Answers

50 students preferred science...

Explanation:

we can consider the numbers 5 and 4 in the ratio as units

now we need to know how much each unit represent

units = 5 + 4 = 9

my sample = 90 students

each unit = 90/9 = 10 students

so each unit represents 10 students

back to the ratio

who preferred science = 5

who preferred English = 4

Number of students choose Science = 5 * 10 = 50

Calvin deposits $400 in a savings account that accrues 5% interest compounded monthly. after c years, calvin has $658.80. makayla deposits $300 in a different savings account that accrues 6% interest compounded quarterly. after m years, makayla has $613.04. what is the approximate difference in the number of years that calvin and makayla have their money invested?

Answers

The approximate difference in years for Calvin and Makayla is that B. Makayla invests her money 2 years longer.

Calculations and Parameters:

Given:

Interest rate= 5%Deposit of Calvin= $400Final amount after c years= $658.80

We use the compound interest formula,

[tex]A= P(1 + r/t)^t[/tex]

[tex]658.8/400= (1205/1200)^1^2^c[/tex]

c= 10 years approx.

For Makayla,

Amount deposited= $300Interest rate= 6%Final amount= $613.4m= ?

We use the same formula:

[tex]A= P(1 + r/t)^t\\[/tex]

[tex]613.4/300= (1206/1200)^1^2^m[/tex]

m= 12 years approx.

Hence, the difference in the years would be:

12-10

= 2 years.

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Answer:

Makayla invests her money 2 years longer

Step-by-step explanation:

b on edge

Olive has raised $3,428 to buy toothpaste to place in care packages. Each tube costs $2. Abut how many tubes of toothpaste can she buy? Choose the best estimate.

Answers

Answer:

I think the answer is 1,714 tubes

Step-by-step explanation:

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