use a formula to find the surface area of the cylinder use 3.14 for pi

Use A Formula To Find The Surface Area Of The Cylinder Use 3.14 For Pi

Answers

Answer 1

Answer:

376.8 cm²

Step-by-step explanation:

Given:

Radius of circular base: 4 cmHeight of cylinder: 11 cm

Surface area = 2πrh + 2πr²

[Where "r" and "h" represents the radius and the height respectively]

Let's substitute the height and the radius in the formula and simplify it.

[tex]\implies 2\pi rh + 2\pi ^{2}[/tex]

[tex]\implies 2\pi (4)(11) + 2\pi (4)^{2}[/tex]

[tex]\implies 2\pi (44) + 2\pi (16)[/tex]

[tex]\implies 88\pi + 32\pi[/tex]

We can factor π out of the expression. Therefore, we get:

[tex]\implies 88\pi + 32\pi[/tex]

[tex]\implies \pi (88 + 32)[/tex]

Now, simplify the expression inside the parentheses.

[tex]\implies \pi (88 + 32)[/tex]

[tex]\implies \pi (120)[/tex]

The value of π, we are given, is 3.14. When substituted, we get:

[tex]\implies \pi (120)[/tex]

[tex]\implies 3.14(120) = 31.4(12) = \boxed{376.8 \ \text{cm}^{2} }[/tex]

Therefore, the surface area of the cylinder is 376.8 cm².

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Related Questions

What is the slope of a line that is parallel to the line shown?

-4/3
-4
-3/4
-2/3

Answers

4/3 if i’m not mistaken

Answer:

m = -4/3

Step-by-step explanation:

m = y2-y1/x2-x1

therefore at (-3,2) and (0-2)

m = -2-2/0 - (-3)

m = -4/3

can someone please help me with this math problem please please ​

Answers

Answer:

c

Step-by-step explanation:

Step 1

Solve 3x-y=-63x−y=−6 for yy.

y=6+3xy=6+3x

Step 2

Substitute 6+3x6+3x for yy in the second and third equation.

2\left(6+3x\right)-5z=-52(6+3x)−5z=−5 x-\left(6+3x\right)-2z=-4x−(6+3x)−2z=−4

Step 3

Solve these equations for xx and zz respectively.

x=-\frac{17}{6}+\frac{5}{6}zx=−

6

17

+

6

5

z z=-1-xz=−1−x

Step 4

Substitute -\frac{17}{6}+\frac{5}{6}z−

6

17

+

6

5

z for xx in the equation z=-1-xz=−1−x.

z=-1-\left(-\frac{17}{6}+\frac{5}{6}z\right)z=−1−(−

6

17

+

6

5

z)

Step 5

Solve z=-1-\left(-\frac{17}{6}+\frac{5}{6}z\right)z=−1−(−

6

17

+

6

5

z) for zz.

z=1z=1

Step 6

Substitute 11 for zz in the equation x=-\frac{17}{6}+\frac{5}{6}zx=−

6

17

+

6

5

z.

x=-\frac{17}{6}+\frac{5}{6}\times 1x=−

6

17

+

6

5

×1

Step 7

Calculate xx from x=-\frac{17}{6}+\frac{5}{6}\times 1x=−

6

17

+

6

5

×1.

x=-2x=−2

Step 8

Substitute -2−2 for xx in the equation y=6+3xy=6+3x.

y=6+3\left(-2\right)y=6+3(−2)

Step 9

Calculate yy from y=6+3\left(-2\right)y=6+3(−2).

y=0y=0

Step 10

The system is now solved.

x=-2x=−2 y=0y=0 z=1z=1

Solution

x=-2x=−2

y=0y=0

z=1z=1

I bought 6.7 kg of apples and a water melon that weights 3.1 kg how much fruit did I buy.

Answers

Answer:

Our goal is to find the total weight which we can do by just adding up our weights.  We have 6.7 kg of apples and we have 3.1 kg of melon so we just add those up together and we get 9.8 kg.

Hope this helps!  Let me know if you have any questions

Triangle ABC is congruent to triangle DEF. Angle B is a right angle, and m∠C = 34°. What is m∠D?
56°

34°

64°

46°

Answers

Answer: 56°

Step-by-step explanation:

Mr. Benito just purchased 24 paint sets and a few sketch books for his art class. The total bill wūs $241. The paint sets cost a total of $105 and the sketch books $8 each. How many sketch books did he buy?​

Answers

Answer:

He bought 32 sketchbooks

Step-by-step explanation:

E equals 32

Answer:

17

Step-by-step explanation:

We know:

The total bill was $241

The paint sets cost $105

Each sketchbook is $8

First, subtract the cost of the paint sets from the total bill. That leaves the entire cost of all of the sketch books.

241-105=136

Next, divide the cost of the sketch books by 8 to find the cost of one sketchbook.

136/8=17

Therefore, Mr. Benito bought 17 sketchbooks.

Determine the sine, cosine, and tangent to the angle

A sun 0=12/15

Answers

Answer:

Cos θ = 13/15

Tan θ= 12/13

Step-by-step explanation:

We are given;

Sin θ = 12/15

From trigonometric ratios, we know that;

Sin θ = opp/hyp

Cos θ = adj/hyp

Tan θ = opp/adj

Thus, since Sin θ = 12/15, then;

Adjacent side = √(15²- 12²)

Adhacent side = √169

Afjacent side =13

Thus;

Cos θ = 13/15

Tan θ= 12/13

Posted this earlier but it got lost. Having difficulty answering this, my original answer was incorrect. Photo is attached, please help!

Answers

1.2 would be your answer just round the second term flip your fraction and you will have your answer!

What is the value of x

Answers

Answer:

  x = 25

Step-by-step explanation:

The measure of an inscribed angle in a circle is half the measure of the arc it subtends. The acute angles in a right triangle are complementary.

__

Inscribed angle CAD is half the measure of arc CD, so is 80°/2 = 40°.

Acute angle 2x° is the complement of angle CAD in the right triangle shown, so we have ...

  2x° = 90° -40° = 50°

  x = 25 . . . . . . . . . . . . divide by 2°

What is the volume of this rectangular prism?

Answers

180
This is because 12x5x3 = 180

Answer:

180cm

Step-by-step explanation:

To find the volume you do Length times Width times Height

use this it'll help when you run into this again, it's formula is just

LxWxH, in this order good luck!

Which is the closest to the area that is painted blue? A 308 units B. 116 units C. 463 units? D 124 units

Answers

Step-by-step explanation:

first of all, all answer options are basically wrong, because an area is always measured in units² (and not just in units).

the blue colored area is the area of the whole square minus the area of the circle.

the side length of the square is 2 times the radius of the circle (the diameter) : 2×12 = 24 units.

so, the area of the square is

24² = 576 units²

the are of the circle is

pi×r² = pi×12² = 144pi units²

so, the blue area is

576 - 144pi = 123.6106579... ≈ 124 units²

therefore, D is the right answer.

A recipe of chocolate chip cookies need 28 oz of oil for every 44 cups of flower. Approximately how many ounces of oil do you need for 89 cups of flower?

Type your answer to the nearest whole ounce

Answers

Answer:

57 ounces

Step-by-step explanation:

He needs 28 oz of oil for every 44 cups. Multiply both to get 56 oz of oil for 88. Since there is one more cup of flour, you will need one more ounce of oil.

: Find the midpoint of the segment with the following endpoints.
(5,-5) and (2,8)

Answers

Answer:

(3.5; 1.5).

Step-by-step explanation:

1) formula for midpoint:

[tex]x=\frac{X_A-X_B}{2}; \ y=\frac{Y_A-Y_B}{2};[/tex]

2) according to the formula above the required midpoint is:

x=0.5(5+2)=3.5; y=0.5(8-5)=1.5

Select all of the expressions that are equal to 8 × 35 . A. 8 × ( 30 + 5 ) B. 5 + 3 × 35 C. ( 8 × 30 ) + ( 8 × 5 ) D. ( 8 + 30 ) × ( 8 + 5 ) E. 8 × ( 20 + 15 )

Answers

The expression 8 × 35 is equal to 8 × (30 + 5), (8 × 30) + (8 × 5), and 8 × (20 + 15) option A, C, and E are correct.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have expression:

= 8 × 35  ⇒ 280

A. 8 × (30 + 5) ⇒ 280

B. 5 + 3 × 35 ⇒ 110

C. (8 × 30) + (8 × 5) ⇒ 280

D. (8 + 30) × (8 + 5) ⇒ 494

E. 8 × (20 + 15) ⇒ 280

Thus, the expression 8 × 35 is equal to 8 × (30 + 5), (8 × 30) + (8 × 5), and 8 × (20 + 15) option A, C, and E are correct.

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The radius of the circle above is 39 mm. What is the circumference of the circle? Use 7 = 3.14.
Circumference = 2017
A. 244.92 mm
B. 9,551.88 mm
C. 122.46 mm
D. 4,775.9400000000 mm

Answers

Answer:

244.92 or A

Step-by-step explanation:

r=39, so we can then find the diameter.

39*2= 78 (the diameter)

c=(pi)(d)

c=3.14*78

c= 244.92

Find the measure of angle BAC.
132°

Answers

Answer:

Step-by-step explanation:

Directions

Draw a line from B to C. A can be anywhere above 132 degrees and it would have the same value as long as its endpoints are B and C

The actual value is 1/2 the central angle which is given as 132 degrees.

Givens

<BOC = 132 degrees.

<BOC is the central angle.

Solution

<BAC = 1/2 <BOC

<BAC = 1/2 132 degrees

<BAC = 66 degrees.

Answer

<BAC = 66 degrees

Is it SSS, SAS, ASA, AAS, or HL?

Answers

Triangle ABC is congruent to triangle DEF based on the SAS congruence theorem.

What is the SAS Theorem?

The SAS theorem is a triangle congruence theorem that states that two triangles are congruent if they have two pairs of congruent sides that are corresponding to each other, and a pair of congruent included angles.

Triangles ABC and DEF have:

A pair of congruent included angles - ∠DEF ≅ ∠ABCTwo pairs of congruent sides - AB ≅ DE and CB ≅ FE

Therefore, they are congruent by SAS.

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a triangle that has 2 side lengths of 8 and 12 if x represents the length in inches on the third side, which inequality gives the range of possible values for x

Answers

Based on the triangle inequality theorem, the inequality that gives the range of possible values for x is: 4 < x < 20.

What is the Triangle Inequality Theorem?

The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the length of the third side.

Therefore, the range of values that is possible for x would be:

12 - 8 < x < 12 + 8

4 < x < 20

The inequality is: 4 < x < 20

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a cube has a volume of 3375 cubic units calculate the length of one side of the cube

Answers

Answer:

volume = length^3

3375= length^3

therefore length = 15 units

What are the roots of the equation x² + 6x-9 = 07

Answers

Answer:

x1 =-3+3[tex]\sqrt{2}[/tex] and x2=-3-3[tex]\sqrt{2\\}[/tex]

Step-by-step explanation:

x² + 6x-9 = 0

-6±[tex]\sqrt{6^{2}-4(1)(-9) }[/tex] / 2

-6±[tex]\sqrt{72}[/tex] /2

so

x1 = -6+[tex]\sqrt{72[/tex] /2

x1 =-3+3[tex]\sqrt{2}[/tex]

and

x2 = -6-[tex]\sqrt{72[/tex] /2

x2=-3-3    [tex]\sqrt{2\\}[/tex]

Having trouble with this, pretty sure the answers i have in there are wrong, please help. especially need help with the last question , thank you

Answers

The year in which the two quantities will be equal is 2133.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Here we have the following data.

y=0.221x-368.264 For men

y=0.168x-255.196 for women

So when we will equate these two equation we will get the year in which two quantities will be same.

0.221x-368.264=0.168x-255.196

0.221x-0.168x=368.264-255.196

0.053x = 1123.068

x= 2133 year

Hence the year in which the two quantities will be equal is 2133.

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Victoria was given the expression 5x - 4x^2 - 1 + x - 8x^2 + 7 and asked to simplify it. How can she simplify the expression?

A. -12x^2 + 6x + 6

B. 13x^2 - 5x + 6

C. -4x^2 + 6x + 8

D. 4x^2 + 4x + 8

Answers

Answer:

the answer is C I hope this helps

The expression after simplifying is -12x² + 6x + 6.

Option A is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

5x - 4x² - 1 + x - 8x² + 7

Add like terms.

6x - 12x² + 6

-12x² + 6x + 6

Thus,

The final expression is -12x² + 6x + 6.

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Davis paid $250 for a sneaker and there is a 33% advertised discount. How much is the discount?

Answers

25 is the discount in this equation

Answer:

152.5

Step-by-step explanation:

I think that might be the answer ( im not that good at math )

John had a bag of marbles as shown below.
What is the probability that John selects a green marble, replaces it, and then selects a
green marble?
3 green marbles
4 blue marbles
2 red marbles
1 yellow marble

A.9/100
B.1/ 10
C.1/15
D.1/50

Answers

Answer:

[tex]\sf A) \quad \dfrac{9}{100}[/tex]

Step-by-step explanation:

Given:

3 green marbles4 blue marbles2 red marbles1 yellow marble

Total number of marbles = 3 + 4 + 2 + 1 = 10

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Probability of selecting a green marble on first pick:

[tex]\implies \sf P(green\:marble)=\dfrac{3}{10}[/tex]

Probability of selecting a green marble on second pick:

[tex]\implies \sf P(green\:marble)=\dfrac{3}{10}[/tex]

(as the 1st pick was replaced)

Therefore,

[tex]\implies \textsf{P(green marble) and P(green marble)} \sf =\dfrac{3}{10} \times \dfrac{3}{10}=\dfrac{9}{100}[/tex]

The first aircraft has 59 more seats than the second aircraft. The third aircraft has 42 fewer seats than the second aircraft. If their total number of seats is 407, find the number of seats for each air craft.

Answers

Answer:

first aircraft=189

second aircraft=130

third aircraft=88

Step-by-step explanation:

1st = x+59

2nd = x

3rd= x-42

x + 59 + x + x - 42 = 407

3x + 59- 42 = 407

3x + 17 = 407

3x = 407 - 17

x=390÷3

=130

1st=130+59=189

2nd=130

3rd=130-42=88

I need help in 17 & 18 & 19 :(

Answers

Answer:

The perimeter of the rectangle is 28 units

Which of the following isn't equivalent to -1.2 + 6?

A. 6 - 1.2
B. -2 (0.6 - 3)
C. (-2.4 + 12) / 2
D. -1 (1.2 + 6)
E. I don't know.

Answers

The answer is D. -1 (1.2 + 6)

What is plagiarism?
A. Using reliable sources in your paper
B. Letting the reader know where you got your information from
C. Providing constructive criticism.
D. Using another person's ideas or writing without citing them.

Answers

Answer: D. Using another person's ideas or writing without citing them.

Step-by-step explanation: Plagiarism is the use of someones work and claiming it as their own without giving them credit

HELP ME WITH THIS PLEASE!!

Answers

Answer:

Option B

Step-by-step explanation:

[tex]A=(5.1)^{2} +4(\frac{(5.1)(5.95)}{2} )=26.01+60.69=86.7cm^{2}[/tex]

Hope this helps

In a group of 60 students, 14 students take Algebra I, 20 students take
Algebra II, and 7 students take both subjects. How many students don't take
either of these subjects?
OA. 19
B. 28
O
C. 32
D. 33

Answers

The answer is D, or 33. While the question may be misleading, it’s only referring to Algebra II. 20 + 7 = 27, and 60 - 27 = 33. Therefore, your answer is 33.

please need help involve steps for better understanding conic section​

Answers

Identifying it: It’s a hyperbola.

It has a vertical transverse axis (it lies on the y-axis). There is a vertex at (0, 4) and (0,0).
See the lines creating an X? Where they meet is the hyperbolas center point: (0, 2).

The general equation for this is ((y-k)^2)/a^2 - ((x-h)^2)/b^2. The center is (h, k), a = distance from center to vertex, c = distance from center to foci. b^2 = a^2 - c^2.

a = 2; center (0,2) to vertex (0,0).
b =5; from center (0,2) to the right (or left, either works) line of the box outlined inside of the hyperbola.

Now start substituting values into the hyperbola equation: ((y - 2)^2)/2^2 - ((x - 0)^2)/5^2. Also, since x-0 is just x, instructors might appreciate:

((y - 2)^2)/2^2 - (x^2)/5^2. That’s it!

I hope this helps, I’m very tired so I’m sorry if I don’t explain very good. Best of luck :)
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