Find the surface area of the cylinder. Type an exact answer in terms of pi.

Find The Surface Area Of The Cylinder. Type An Exact Answer In Terms Of Pi.

Answers

Answer 1

Answer:

154π cm²

Step-by-step explanation:

Radius (r) = 7 cm

Height (h) = 4 cm

Surface area of cylinder

= 2πr (h + r)

= 2π (7) (4 + 7)

= 2π (7) (11)

= 2π (77)

= 154π cm²

______

Hope it helps ⚜

Answer 2

Answer:

154π cm²

Step-by-step explanation:

Formula for the Surface Area of a Cylinder

SA = 2πr (h + r)

Solving

Here r = 7 cm and h = 4 cmSA = 2πr (h + r)SA = 2π × 7 (7 + 4)SA = 14π × 11SA = 154π cm²

Related Questions

If one turn consists of spinning each spinner once, which table shows all the possible outcomes for one turn?

Answers

Answer:

i think it's c

Step-by-step explanation:

sorry if I'm wrong

possible
An unusually wet spring has caused the size of a mosquito population in some city to increase by 6% each
day. If an estimated 230,000 mosquitoes are in the city on May 12, find how many mosquitoes will inhabit the
city on May 26. Use y = 230,000(1.06)* where x is number of days since May 12.

Answers

Answer:

  about 520,000

Step-by-step explanation:

Following directions, we evaluate the equation by putting the value where the variable is and doing the arithmetic.

__

The value of x will be the number of days between May 26 and May 12. That value is ...

  x = 26 -12 = 14

Then the number of mosquitos is estimated to be ...

  y = 230,000(1.06^14) ≈  520,008

About 520,000 mosquitos will inhabit the city on May 26.

_____

Additional comment

Typically, an "estimate" is one or two significant figures. So, 520,000 is a reasonable estimate. 520,008 has more precsision than can be justified.

A triangular prism. The rectangular sides are 6 centimeters by 10 centimeters, 10 centimeters by 5 centimeters, and 10 centimeters by 5 centimeters. The 2 triangular bases have a base of 6 centimeters and height of 4 centimeters.

What is the surface area of the triangular prism shown?

32 square centimeters
120 square centimeters
184 square centimeters
1,560 square centimeters

\

Answers

Answer:

d

Step-by-step explanation:

Collect like terms
3
x
2
+
x
+
2
x
2

Answers

Answer:

x+10

Step-by-step explanation:

Question 1
4 pts
Rewrite each equation so that the expression on one side could be graphed and the x-
intercepts of the
graph would show the solutions to the equation.
a. 3r? = 81

b. (x-1)(x+1)-9=5x

Cr? - Sx + 10 = 32

d. 6x(x-8)=29

Answers

The equations will be re-written such that the expression on one side can be graphed and the x-intercepts of the graph would indicate the solution.

What are the re-written equations?

A) 3X² = 81

Rewritten, we have  3X² - 81 = 0

This is also = 3(X² - 27) = 0

B) (X - 1)(X + 1) - 9 = 5X

Open the brackets and we have X² - 1 - 9 - 5x = 0

Simplified, we have X² - 5X - 10 = 0

C) X² - 9x + 10 = 32

Collect like terms and we have:
X² - 9X - 22 = 0

D) 6x(x - 8) = 29

Expand the bracket and collect like terms such that the equation is equal to zero and we have

6X² - 48x - 29 = 0

Using Desmos Graphing, the following results can be obtained showing that x intercepts at:

(a) (-5.196, 0) & (5.196, 0)

(b) (-1.531, 0) & (6.531, 0)

(c) (-2, 0) & (11, 0)

(d) (-0.564, 0) & (8.564, 0)

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Are the following functions exponential growth or decay?
Graphing Exponentials

a) f(x)=10(2)x

is this exponential growth? or exponential decay?

b) f(x)=2(0.5)x

is this a exponential growth? or exponential decay?

Answers

Answer:

a) growth b) decay

Step-by-step explanation:

In the function f (x) = b^x when b > 1, the function represents exponential growth.

In the function f (x) = b^x when 0 < b < 1, the function represents exponential decay.

a)b=2 > 1 this function growth

b)b=0.5 < 1 this function decay

What is the area of the figure below?
3 5/6in 6in

Answers

Answer:

120

Step-by-step explanation:

120. Step by step explanation:

What is the volume of the figure below if a = 4.3 units, b = 5.3 units, and c = 3 units?

Answers

a x a x c = 3.9 * 3.9 * 3 =45.6345.63 * 2 = 91.26a x b x c = 3.9 * 5.7 * 3 = 66.6966.69 + 91.26 = 157.95 cubic units

2 ( x - 8 ) + 2 ( 12 ) how do i solve it?

Answers

you would multiply 2 by x which would give you 2x. Then, multiply 2 by -8 which equals -16. Then multiply 2 by 12=24. Then add all together and you get 2x +8

Hope this helps!!

need help will give brainlist​

Answers

Answer:

It's the 2nd one 3y2-43y over 12y2

Step-by-step explanation:

First u do a common denominator u multiply on the first side by 6y on the second side by 4 then u solve it till u get 6y2-86y over 24y2 then simplify by dividing by 2

During a sale, a store offered a 15% discount on a TV that originally sold for
$540. After the sale, the discounted price of the TV was marked up by 15%.
What was the price of the TV after the markup? Round to the nearest cent.

Answers

0.765 (100) + .06 (.0765 x 100)

76.5  + .06 (76.5)  

76.5 + 4.59 = 81.09    Chris will pay $81.09

A better way ( if you don't care to know the tax just the bottom line of what it will cost) would be to do:

0.765x x 1.06 = 76.5 x 1.06 = $81.09 too.

Why the 1 in front of the .06?  The one includes the price of the coat so you don't have to add the tax on after.

Think about it like this. When you buy something you pay (even with an employee

discount) for all of it (100%) + the tax (in this case, it's 6%)  So you pay 106% of the cost of the item.  106% = 1.06

What is the line of the equation PARALLEL to the line y=3x+4 and through the y-intercept of -6?

Answers

Parallel lines have slopes that are equal to one another.

Slope intercept form is:

y = mx + b (where m = slope and b = y-intercept)

the equation of the 1st line

y = 3x + 4 so it’s slope (m) = 3

the problem tells us the y-intercept of the second line is -6.

so we plug the two knowns into slope intercept form to get the equation of the second line:

y = 3x - 6

I hope this helps and is the BRAINLIEST!

Great luck with your studies :)

Answer:

y = 3x - 6

Step-by-step explanation:

The line here is parallel

Slope remains the sameY-intercept is now -6

Equation of line

y = mx + c [where m = slope and c = y-intercept]y = 3x - 6

50 POINTS PLS HELP


The graph shows the quadratic function f(x).


What is the average rate of change for the quadratic function from x = 10 to x = 12?
I will give brainliest, and I need help fast.

Answers

Answer:

3

Step-by-step explanation:

find value at  12 =12

find value at 10 =    6

 so it changes   + 6    for a change from 10 to 12

6/2 = 3  

Find the volume of this rectangular prism.
6 cm
16 cm
1 cm

Answers

Answer:

The answer is 96

Step-by-step explanation:

Just write (16 x 6) x 1 = v and solve it by doing 16 x 6 and the answer would be 96 cm for the volume.

x - 9y = -19 What is thr slope intervept form and answer​

Answers

Answer:

[tex]y=\frac{1}{9}x+19/9[/tex]

Step-by-step explanation:

First get y by itself.

[tex]x-9y=-19\\-9y=-x-19\\[/tex]

Then variable y itself

[tex]y=(-x-19)*-1/9\\y=\frac{1}{9}x+19/9[/tex]

If a parallelogram has dimensions of 44 cm and 66 cm, what is the perimeter in millimeters?

Answers

perimeter of paralleogram(p) = 2 ( a + b ) = 2 ( 44 + 66) = 2 × 110 = 220 cm = 220 × 10 = 2200 millimeter

Your local garden shop has plants on sale for $1.50 each. You are planning a vegetable

garden. You have $20 to spend on tomato plants

a.) write an inequality to find the greatest number of plants you can buy.

60 points please helppp

Answers

The inequality that can be used to find the greatest number of plants you can buy is p ≤$20 / 1.50.

What inequality can be used to find the greatest number of plants you can buy?

Here are inequality signs and what they mean:

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

The inequality sign that would be used in this question is ≤.

(cost of plant x number of plants) ≤ total spending money

$1.50p ≤ $20

p ≤ $20 / 1.50

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surface area of this right prism

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textsf{Let's calculate the surface area of given right prism} [/tex]

[tex] \textbf{Area of Triangles :} [/tex]

[tex] \sf{\dfrac{1}{2}\cdot 16\cdot 12} [/tex]

[tex] \sf{8×12} [/tex]

[tex] \sf96 \: \: cm {}^{2} [/tex]

[tex] \textsf{Since there are two triangles, } [/tex]

[tex] \textsf{Area of Triangles = 96 × 2 = 192 cm²} [/tex]

[tex] \textbf{Now, calculate the Areas of rectangles :} [/tex]

[tex] \textsf{Area - 1 = 12 × 10 = 120 cm²} [/tex]

[tex] \textsf{Area - 2 = 16 × 10 = 160 cm²} [/tex]

[tex] \textsf{Area - 3 = 20 × 10 = 200 cm²} [/tex]

[tex] \textsf{Now add them all :} [/tex]

[tex] \textsf{120 + 160 + 200 + 192} [/tex]

[tex] \textsf{672 cm²} [/tex]

Answer:

Step-by-step explanation:

(16+12+20)*10+16*12= 48*10+192+480+192=672 c.m. squared

1/7 divided by 3
Is it 1/3 or 1/2 im so confuse

Answers

given:

[tex] \frac{1}{7} \div 3[/tex]

solution:

[tex] \frac{1}{7} \div \frac{3}{1} [/tex]

[tex] \frac{1 \times 1}{7 \times 3} [/tex]

[tex] = \frac{1}{21} [/tex]

100 POINTS AND BRAINLIEST TO WHOEVER SOLVES IT
The edge length, s, of a regular tetrahedron is approximately given by , where V is the volume of the terahedron. Use a graphing calculator to graph the function. Estimate the volume of a regular tetrhedron with an edge length of 4 inches.

Answers

Volume of a tetrahedron with edge s

[tex]\\ \rm\Rrightarrow V=\dfrac{s^3}{6\sqrt{2}}[/tex]

According to question

s=4in

[tex]\\ \rm\Rrightarrow V=\dfrac{4^3}{6\sqrt{2}}[/tex]

[tex]\\ \rm\Rrightarrow V=\dfrac{64}{6\sqrt{2}}[/tex]

[tex]\\ \rm\Rrightarrow V=\dfrac{32}{3\sqrt{2}}[/tex]

[tex]\\ \rm\Rrightarrow V=\dfrac{32}{4.2426406871192}[/tex]

[tex]\\ \rm\Rrightarrow V\approx 7.5425in^3[/tex]

Answer:

See below ~

Step-by-step explanation:

Volume of a tetrahedon

V = s³ / 6√2s = edge length

Solving for V

V = (4)³ / 6√2V = 64 / 6√2V = 32 / 3√2V = 32√2 / 6V = 16√2 / 3V = 7.54 cubic inches

Graph

Which function has the greatest maximum y-value?
A) f(x)
B) g(x)
C) h(x)
D) AIl three functions have the same maximum y-value.

Answers

Answer:

g(x)

Step-by-step explanation:

y-intersect for h(x) is -11 as shown in the table, where the x value is 0

y-intersect for f(x) you find out by subbing 0 in the place of x and get the y intersect value of 2.99

y-intersect of g(x) is 3 as shown in the drawing

as seen across the three y-intersects, the value of g(x) y-intesect is the greatest

Are my answer correct? If not explain why.

Answers

Answer:

Step-by-step explanation:

a)

First I will calculate the equation of the line that goes trough the points

C (0, 0) and (-4, 3).

y= mx + b

y = [(3-0)/ (-4 -0) ] x + 0

y = (-3/4)x  →the slope of tis line is (-3/4)

The slope of line l is the negative reciprocal of (-3/4) the slop of line that goes trough points C (0, 0) and (-4, 3) because the lines are ⊥.  

Slope of line l is 4/3

b)

The equation of l is

y= (4/3)x + b

for point (x= -4, y = 3) that belongs to the line l, we have

3 = (4/3) (-4) + b

3 = (-16/3) + b

3 + (16/3) = b

(9+16)/3 = b

25/3 = b

The equation of the line l in slope intercept form is :

y = (4/3)x + (25/3)

c)

The radius of circle C is the distance between C (0, 0) and (-4, 3).

d² = (x2-x1)² +(y2-y2)²

d = √(-4-0)² +(3-0)²

d = √16+ 9

d = 5 → the radius of the circle C is 5

d)

Line l intersects the y-axis at (25/3) as we previously found out.

The radius is 5.

...therefore the distance between the line l's y-intercept and the circumference of the circle is

(25/3 ) - 5  = (25 - 5·3)/3 = 10/3

Let (20, 48) be a point on the terminal side of an angle ϴ in standard position. Evaluate the six trigonometric functions of ϴ .

Answers

The six trigonometric functions related to (x, y) = (20, 48): sin θ = 12/13, cos θ = 5/13, tan θ = 12/5, cot θ = 5/12, sec θ = 13/5, csc θ = 13/12.

How to determine the six trigonometric functions from coordinates in rectangular form

Given the coordinates in rectangular form, that is, (x, y), where each component belongs to an orthogonal axis of reference. By trigonometry we have six functions to be calculated:

[tex]\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex]     (1)

[tex]\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex]     (2)

[tex]\tan \theta = \frac{\sin \theta}{\cos \theta}[/tex]     (3)

[tex]\cot \theta = \frac{1}{\tan \theta}[/tex]     (4)

[tex]\sec \theta = \frac{1}{\cos \theta}[/tex]     (5)

[tex]\csc \theta = \frac{1}{\sin \theta}[/tex]     (6)

If we know that x = 20 and y = 48, then the six trigonometric functions are, respectively:

[tex]\sin \theta = \frac{48}{\sqrt{20^{2}+48^{2}}}[/tex]

[tex]\sin \theta = \frac{12}{13}[/tex]

[tex]\cos \theta = \frac{20}{\sqrt{20^{2}+48^{2}}}[/tex]

[tex]\cos \theta = \frac{5}{13}[/tex]

[tex]\tan \theta = \frac{12}{5}[/tex]

[tex]\cot \theta = \frac{5}{12}[/tex]

[tex]\sec \theta = \frac{13}{5}[/tex]

[tex]\csc \theta = \frac{13}{12}[/tex]

The six trigonometric functions related to (x, y) = (20, 48): sin θ = 12/13, cos θ = 5/13, tan θ = 12/5, cot θ = 5/12, sec θ = 13/5, csc θ = 13/12. [tex]\blacksquare[/tex]

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Melissa weighed 14 packages. Their mean weight was 3 pounds. What was the total weight of the 14 packages?
pounds

Answers

The total weight of the 14 packages that Melissa weighed is gotten as; Total weight = 42 pounds

How to calculate mean?

We are given;

Mean weight = 3

Now,formula for mean is;

Mean = total/sample size

We are given;

Sample size = 14

Thus;

3 = total/14

Total = 3 * 14

Total weight = 42 pounds

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#SPJ1

Solve for x 10(2x-4)=100x
A.x=7
B. x=3
C.x=1/2
D.x=-1/2

Answers

Answer:

The value of x = -1/2

Step-by-step explanation:

=> 10(2x-4)=100x

=> 20x - 40 = 100x

=> -40 = 100x - 20x

=> -40 = 80x

=> -40/80 = x

=> -1/2 = x

Find the probability that x > 5

Answers

Answer:

The probability of x ≥ 5 is

.05

Step-by-step explanation:

Have a great day✧◝(⁰▿⁰)◜✧

1. Which indicates the dilation of a figure in the coordinate plane?

A. (x,y) —> (kx,ky)

B. (x,y) —> (-y,x)

C. (x,y) —> (-x,-y)

D. (x,y) —> (x+h,y+v)

Answers

Answer:

A. [tex](x,y)[/tex] ⇒ [tex](kx, ky)[/tex]

Step-by-step explanation:

Because that's the dilation equation or formula

Answer is A for this math program

Ms. Rivera created two dot plots to compare the results of her recent science quiz for 1st period students compared to 7th period students. The dot plots are displayed to the right. Use this information to answer the questions below.

Answers

The dot plots is an illustration of charts and graphs

The average score of period 7 is greater than the average score of period 1

How to determine the period with the higher average?

From the dot plots in the complete question, we have the following frequency tables

Period 1                                                          Period 7

Score     Students                                          Score     Students

55           1                                                         65           1

70           1                                                         75           3

75           6                                                         80         5

80           6                                                         85         6

85           2                                                         90         3

90           3                                                         95        2

95           1                                                                

The average is calculated using:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

For period 1, we have:

[tex]\bar x_1 = \frac{55 * 1 + 70 * 1 + 75 * 6 + 80 * 6 + 85 * 2 + 90 * 3 + 95 * 1}{1 + 1 + 6 + 6 + 2 + 3 + 1}[/tex]

Evaluate the sum

[tex]\bar x_1 = \frac{1590}{20}[/tex]

Evaluate the quotient

[tex]\bar x_1 = 79.5[/tex]

For period 7, we have:

[tex]\bar x_7 = \frac{65 * 1 + 75 * 3 + 80 * 5 + 85 * 6 + 90 * 3 + 95 * 2}{1 + 3 + 5 + 6 + 3 + 2}[/tex]

Evaluate the sum

[tex]\bar x_7 = \frac{1660}{20}[/tex]

Evaluate the quotient

[tex]\bar x_7 = 83[/tex]

By comparison, 83 is greater than 79.5

Hence, the average score of period 7 is greater than the average score of period 1

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state the slope of the line perpendicular to the line -2x+5y=12

Answers

Answer:

- 5/2

Step-by-step explanation:

Arrange this line equation into y = mx + b form   m = slope

 y = 2/5x + 12/5    

  then perpindicular line = - 1/m   = - 1/ (2/5) = - 5/2

1. A triangular garden is being formed with stones. The three sides measure 4 meters
by 6 meters by 7 meters. Which of the following is a true statement about the side
lengths of the triangle?
A The side lengths will nptform a triangle because 6 + 4 > 7
B. The side lengths will form a triangle because 4 + 6+ 7
C. The side lengths will not form a triangle because 7 + 4 < 6
D. The side lengths will form a triangle because 6 + 7 > 4

Answers

Answer:

The side lengths will form a triangle because 6+4 > 7

Step-by-step explanation:

For side lengths, the two smallest sides (ex. 6 and 4) must have a greater sum than then highest side length. Since 6+4 is greater than 7, it creates a triange. If it would have been 5+2 it would not have worked because it needs to be greater than, not less than or equal to.

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