Mathematics High School

Please Help !! What is the surface area of a cylinder with base radius 4 and height 5. Show your work .

Answers

Answer 1

Answer:

226.19

Step-by-step explanation:

A= 2πrh+ 2πr2= 2·π·4·5+2·π·42≈226.19467

S = (2 * pi * r^2) + (2 * pi * r * h)

S = (2 * pi * 4^2) + (2 * pi * 4 * 5)

S = (32 pi) + (40 pi) = 72pi = 226.08 ANS.

Answer 2

Answer:

251.333 (Repeating)

Step-by-step explanation:

First, you need to find the area of the circle at the top, which is [tex]\pi r^{2}[/tex]

Next, you multiply it by the height. (I did also use actual pi)

This is if it's total area, not lateral.

Related Questions

Which of the following is the graph of f(x) = -0.5x + 3| -2?

Answers

If you mean

y=|-0.5x+3|-2

The graph has been attached

If that modulus sign is typing mistake then

The yielded function is

y=-0.5x+3-2y=-0.5x+1

Both graphs attached

You and 3 friends go bowling. You bowl for 2.5 hours. You play 3 games and the total cost is $42.
Find the average rate of games per hour

Answers

Answer:

if you play 3 games and the total cost equals to 42
then just do 42 divided by 3 which is 14 so that should be your answer!

Step-by-step explanation:

im very sorry if i get it wrong im only trying to help
so i hope its correct

A submarine traveled to St. Vincent and
back. It took four hours less time to get
there than it did to get back. The average
speed on the trip there was 15 km/h. The
average speed on the way back was 10
km/h. How many hours did the trip there
take?

Answers

Answer:

8 hrs to get there ( 12 hrs to get back)

Step-by-step explanation:

rate * time = distance distance is the same for both trips

15 km/hr * (t-4) = 10 ( t)

15t - 60 = 10 t

5t = 60

t = 12

t-4 = 8 hrs

What is the percent of change from

65 to 52?

Round to the nearest percent.

Answers

Answer:

20%

Step-by-step explanation:

[tex]\frac{52-65}{65}[/tex] * 100% = -20%

What is the value of n?
Enter your answer in the box
7 cm
4 cm
8 cm
n

Answers

Answer:

n=14

Step-by-step explanation:

To find the length of the given side with length "n", we must know the relationship between the different sections when the chords cross one another.

Now, the relationship we require is that when we multiply the 2 parts of both chords together, it will be equal to the product of the two sides in the other chord. Thus;

7(8) = 4(n)

56 = 4n

14 = n

1. Let the sample space represent all the values from 1 to 10. Let A = {1, 2, 8} and B = {2, 7}. What is the P(A ∩ B)?

Answers

A [tex]\cap[/tex] B denotes to all common elements in both A and B

Sample space=S={1,2,3,4,5,6,7,8,9,10}

A={1,2,8}B={2,7}

2 is common

Hence

A $\cap$ B={2}

Answer:

P(A ∩ B) = 1/10

Step-by-step explanation:

Given:

Sample space (S) = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}A = {1, 2, 8}B = {2, 7}

We can represent this information in a Venn diagram (see attachment 1).

As there are 10 equally likely outcomes (which must add up to 1), the probability of each outcome is 1/10.

Therefore, we can redraw the Venn diagram with the probabilities instead of the values (see attachment 2).

P(A ∩ B) means the probability of events A and B happening together, so it is the section of the diagram where events A and B overlap.

Therefore, P(A ∩ B) = 1/10

Solve using the square root method

Answers

Answer:

x=3 and x= -3

Step-by-step explanation:

Sorry for my handwriting I know it's not the best but I hope it helps

Answer:

x=-1.13389341903

Step-by-step explanation:

square root of 63=7.93725393319

÷-7=-1.13389341903

this should be the answer

x is a normally distributed variable with a mean of 32 and a standard deviation of 19 what is P(x<63)

Answers

Answer:

94.8 %

Step-by-step explanation:

mean 32 + 1.63 * SD = 63

Z-score for 1.6316 is .9484 94.8 % are < 63

Which expression represents the phrase below?
8 less than the product of 6 and a number, x
A. 8 - 6x
B.6x-8
C.(6+x)-8
D.8-(6+x)

Answers

The correct answer to this question is B

For each decimal, find two integers closest to it. 11.6. | < 11.6< <

Answers

The decimal number 11.6 is to one decimal place, and the closest integers to 11.6 are 11 and 12

How to determine the closest integer?

The decimal number is given as:

11.6

The above decimal number is between the digits 11 and 12

This means that the closest integers to 11.6 are 11 and 12

Answers

The quadrilateral ABCD is an isosceles trapezoid, and the length of AC for the quadrilateral is 19 feet

How to determine the length of AC?

The quadrilateral ABCD is an isosceles trapezoid

This means that:

Opposite sides are equalThe diagonals are also equal

From the above highlights, we have:

AC = 7ft + 12ft

Evaluate the sum

AC = 19 ft

Hence, the length of AC for the quadrilateral is 19 feet

#SPJ1

Answers

Step-by-step explanation:

Begin by separating the division. Division in the argument of a logarithm function is equivalent to subtracting the log of the numerator and denominator:

[tex]ln( \frac{ {x}^{9} \sqrt{ {x}^{2} + 7} }{ {(x + 7)}^{7} } ) = ln( {x}^{9} \sqrt{ {x}^{2} + 7 } ) - ln(( {x + 7})^{7} )[/tex]

Multiplication under a logarithm means addition:

[tex] ln( {x}^{9}) + ln( \sqrt{ {x}^{2} + 7 }) - ln(( {x + 7})^{7} )[/tex]

Log rules say that exponents can be dragged to the front as coefficients:

[tex]9ln(x) + \frac{1}{2} ln( {x}^{2} + 7) - 7ln(x + 7)[/tex]

Diameter = 50 cm
In terms of , what is the area of the circle?

Answers

Answer:

1,962.5

Step-by-step explanation:

r=d/2

50 / 2 = 25

25 = r

A= πr²

3.14 x 25²=1,962.5

[tex]Hope[/tex] [tex]this[/tex] [tex]helps![/tex]

Find the amount of time. I=$237. 90, P=$1525, r=2. 6%
Find the amount of time. __ Years

Answers

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$237.90\\ P=\textit{original amount deposited}\dotfill & \$1525\\ r=rate\to 2.6\%\to \frac{2.6}{100}\dotfill &0.026\\ t=years \end{cases} \\\\\\ 237.90 = (1525)(0.026)(t)\implies \cfrac{237.90}{(1525)(0.026)}=t \implies 6=t[/tex]

Answer number 10 please thank you

Answers

Answer:

35%

Step-by-step explanation:

Please help! Both problems are below and please make sure to answer both! Will give brainiest if possible!

Answers

Answer:

picture a is 180⁰ clockwise or counterclockwise (c)

picture b is 90⁰ counterclockwise (b)

Step-by-step explanation:

hope this helps :)

Answer:

A and B

Step-by-step explanation:

The first one is 180 clockwise…

Second picture is 90 counterwise.

I hope thi help and have a good day.

PLEASE HELP I WILL GIVE BRAINLIEST I REALLY NEED IT
Given: ABCD is a trapezoid,
AD=10, BC=8,
CK- altitude of triangle ACD =30
Find: the area of ABCD

Answers

To find the area of the trapezoid we need to find the height of the trapezoid.

Trapezoid

A trapezoid is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal.

Area of Trapezoid

The area of a trapezoid is given as half of the product of the height(altitude) of the trapezoid and the sum of the length of the parallel sides.

\rm{ Area\ of\ trapezoid = \dfrac{1} {2}\times height \times (Sum\ of the\ parallel\ Sides)

The area of the trapezoid is 54 units².

Given to us :

ABCD is a trapezoid

AD=10, BC = 8,

CK is the altitude altitude

Area of ∆ACD = 30

Area of ∆ACD,

In ∆ACD,

\begin{gathered}\rm { Area\ \triangle ACD = \dfrac{1}{2}\times base\times height\\\\\ \end{gathered}

Substituting the values,

30 = 1/2 * AD × CK

30 = 1/2 * 10 × CK

(30 * 2)/10 = CK

CK = 6 units

Area of Trapezoid ABCD

\rm{ Area\ of\ trapezoid = \dfrac{1} {2}\times height \times (Sum\ of\ the\ parallell Sides)

Area ABCD = [tex] \frac{1}{2} \times ck \times (ad + bc)[/tex]

Area ABCD = [tex] \frac{1}{2} \times 6 \times (10 + 8)[/tex]

Area ABCD = [tex] \frac{1}{2} \times 6 \times (18)[/tex]

Area ABCD = 54 units²

Hence, the area of the trapezoid is 54 units².

Solve each equation.
a.8x=2/3
b.1 1/2=2x
c.5x=2/7
d.1/4x=5
e.1/5=2/3x

Answers

Answer:

a) x = 1/12

b) x = 3/4

c) x = 2/35

d) x = 20

e) x = 3/10

Step-by-step explanation:

a) 8x = 2/3

8x/8 = (2/3) / 8

x = 2/3 * 1/8

x = 2/24

x = 1/12

b) 1 1/2 = 2x

3/2 = 2x

(3/2) / 2 = 2x/2

3/2 * 1/2 = x

3/4 = x

x = 3/4

c) 5x = 2/7

5x/5 = (2/7) / 5

x = 2/7 * 1/5

x = 2/35

d) 1/4x = 5

1/4x * 4 = 5 * 4

x = 20

e) 1/5 = 2/3x

1/5 * 3/2 = 2/3x * 3/2

3/10 = x

x = 3/10

Please consider giving me brainliest! :)

can anyone help pls?

Answers

given:

[tex]7 \frac{5}{8} + 4 \frac{2}{3} [/tex]

to find:

the simplest form.

solution:

[tex] \frac{61}{8} + \frac{14}{3} [/tex]

[tex] = \frac{(61 \times 3) + (14 \times 8)}{8 \times 3} [/tex]

[tex] = \frac{183 + 112}{24} [/tex]

[tex] = \frac{295}{24} [/tex]

[tex] = 12 \frac{7}{24} [/tex]

hence, the correct answer is option D.

Help asap! take your time not pushing its for my sis

Answers

Answer:

A. Whatever that is in the parenthesis should be solve first.

Answer:

A is the correct option you should always solve the bracket first if you know about BIDMAS

B- BRACKET

I- INDICES

D- DIVISION

M- MULTIPLICATION

A- ADDITION

S- SUBTRACTION

Which fraction is equivalent to 4/9

A 14/19

B 2/3

C 6/11

D 8/18

Answers

D. should be the correct answer because if you to times both number by 2 you would get 8/18. Your answer should be what the original fraction (4/9 in this case) both numerator and denominator go into.

The answer is D. 8/18.

how do you find the length of a line

Answers

Answer:

You use the most important and sacred tool: ruler

Answer: By measuring with tape or ruler

Step-by-step explanation:

Just need the answer

Answers

Answer:

Step-by-step explanation: if 5/2:2/5 then 4/5 of a pint= 10/2 and you now only need 1/5 of a pint so you have to divid 5/2 by 2. that will give you 1.25 and 1.25 as a fraction is 5/4. now you need to change the fraction 10/2 so that you can add them. Equation for that is 10/2 times 2/2 that gives you 20/4 and 20/4+ 5/4=25/4 or 6 1/4(six and one fourth) of a cup

Two sides of a rectangle are (2x+5)cm and (4-x)cm. Find it's area.

Answers

Answer:

The area of the rectangle = x + 20

Step-by-step explanation:

The explanation is in the attachment

SORRY FOR MY BAD HANDWRITING

!!PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!!

A bag contains eight balls labeled 1 through 8. One ball will randomly be picked. What is the probability of picking an even number?

Answers

Answer:

Answer: 50 percent or 1/2

Below is a list of the steps used to construct a square inscribed in a circle.

Step M - Place the compass point at the endpoint of the diameter and the pencil at
the center of the circle to construct an arc.
Step N - Draw in two diameters using the points where the small arc intersects the
line segments and the center.
Step O - Construct a small arc by placing the compass point where the diameter
intersects the line segment and the pencil on the center of the circle.
Step P - Construct a line segment between the two points where the arc intersects the
circle.
Step Q - Draw line segments between the four points where the two constructed
diameters intersect the circle.

Which list shows these steps in the correct order?

M, N, O, P, Q

M, P, O, N, Q

O, P, M, Q, N

P, O, M, Q, N

Answers

Answer:

B: M,P,O,N,Q

Step-by-step explanation:

Sowy if i am wrong pls don't go hard on me.

Answer:

Step-by-step explanation:

took the test

Identify the slope and y-intercept of each of the following lines. Then graph each line.
5x - 3y = 18
Do I put the answer on the attached graph?

Answers

Answer:

Yes, but you have to write what the slope and y-intercept of the equation is as well.

Step-by-step explanation:

(Not sure if you wanted the full answer or just if you should graph it but I'm putting it here anyways :^P)

First convert the equation from standard form to slope-intercept form.

5x-3y=18 -> 5x-18-3y -> 5/3x-6=y

5/3x is the slope and 6 is the y-intercept!

Then graph the equation.

First rewrite the equation in slope intercept form

slope intercept form: y = mx + b [ where m is slope and b is y-intercept ]

[tex]\sf \rightarrow 5x - 3y = 18[/tex]

[tex]\sf \rightarrow - 3y = 18-5x[/tex]

[tex]\sf \rightarrow y = \dfrac{-5x+18}{-3}[/tex]

[tex]\sf \rightarrow y = \dfrac{-5x}{-3} + \dfrac{18}{-3}[/tex]

[tex]\sf \rightarrow y = \dfrac{5}{3}x -6[/tex]

comparing with y = mx + b, Here we can identify that the

slope: [tex]\sf \frac{5}{3}[/tex] and y-intercept: [tex]\sf -6[/tex]

x-intercept: ( then y will be 0 )

[tex]\sf \hookrightarrow \dfrac{5}{3}x -6=0[/tex]

[tex]\sf \hookrightarrow \dfrac{5}{3}x=6[/tex]

[tex]\sf \hookrightarrow x=\dfrac{18}{5}[/tex]

[tex]\sf \hookrightarrow x = 3.6[/tex]

In order to graph the line

First put the x = 3.6 in the x axisSecondly put y = -6 in the y axisThen using a scale/ruler draw a straight line through this points.

Graph:

Jose is wrapping a stack of 100 coins in a paper holder. Each coin is 1/8 inch thick and has a diameter of 1 inch. How many square inches of paper will Jose need to cover the stack of coins? Use 3.14 for ππ.

Answers

Answer:

10.205 inches²

Step-by-step explanation:

What is being described is essentially a cylinder (like a tin can)!Note: for this question let's assume the paper's thickness doesn't matterIf there's 100 coins, each being 1/8 inch thickThe height of the cylinder must be 100 * 1/8 = 12.5 inchesTo find the area of the bottom and top of our cylinder let's first calculate 1 side:The area of a circle = π × r²area = π × (1/8)² = π/16 inches²two circles is just double the area: 2 * π/16 = π/8Now that we know the height and the area of the top + bottomWe can now use the cylinder formula for surface areaA = 2πrh + 2πr² (notice how we've already done 2πr² with our circles!)A = 2 × π × 1/8 × 12.5 + π/8A = (13π) / 4 = (13 × 3.14) / 4 = 10.205 inches²

the slope of the line below is -3. use the coordinates of the labeled point to find a point-slope equation of the line.

Answers

Answer:

Step-by-step explanation:

point (5,-7) slope ( -3) form of the line would be

(Y- -7) = - 3(x-5)

y+7 = -3 (x-5)

please answer this...

Answers

Step-by-step explanation:

8. Simple random sample

9. Stratified Sample

10. Convenience Sample

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