8. A megaphone is formed by taking a cone with radius of 18 centimeters and an edge length of 60 centimeters from tip to base
and cutting off the tip. The
cut is made 12 centimeters along the edge from the tip and is parallel to the base. The cut produces
a new radius of 4 centimeters. Round your answers to the nearest tenth.
Hint: A megaphone is hollow, so do not include the base.
a. What is the surface area of the whole cone?
b. What is the surface area of the tip that is removed?

cone
megaphone
whole cone
C.
What is the surface area of only the megaphone?

8. A Megaphone Is Formed By Taking A Cone With Radius Of 18 Centimeters And An Edge Length Of 60 Centimeters

Answers

Answer 1

The Surface area of the whole cone is 4408.56 cm²

The Surface area of the tips that is removed is  376.8 cm²

The Surface area of the megaphone(hollow) is  2712.96 cm²

What is surface area?

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape.

Therefore,

Surface area of the whole cone = πr² + πrl

Therefore,

Surface area of the whole cone = πr(r + l)

where

r = radius = 18 cml = edge length = 60 cm

Surface area of the whole cone = 3.14 × 18(18 + 60) = 4408.56 cm²

Surface area of the tips that is removed = 3.14 × 4 (18 + 12) = 376.8 cm²

Surface area of the megaphone(hollow) = πrl

Surface area of the megaphone(hollow) = 3.14 × 18 × (60 - 12) = 2712.96 cm²

learn more on surface area here: https://brainly.com/question/7410402


Related Questions

Simplify the expression. 20 • 5–2

a) 25
b) –500
c) –200
d) 4/5

Answers

Answer: D) 4/5

Hope this helps :)

Given that (-2,-2) is on the graph of f(x), find
the corresponding point for the function
f(x) +5.
Enter the correct answer.

Answers

Answer: The corresponding point for the function 4f(x) is (5 , 24)

Step-by-step explanation:

no

Find the area of each. Round to the nearest tenth.

Answers

Answer:

346.361 Yd^2 rounded to the nearest tenth is 346.4 Yd^2

Step-by-step explanation:

The area of a disk is A=π[tex]R^2[/tex] where R=10.5 yard.

Answer:

346.2 yd^2

Step-by-step explanation:

Area of a circle: π*r^2π = 3.14radius (r) = 10.5 yd

π*r^2 <== substitute the numbers for pi(π) and radius(r)

3.14*10.5^2

3.14*110.25

346.185 <== round to the nearest tenth

346.2 yd^2

Hope this helps!

Find the number of faces, edges, and vertices of the solid.


The number of faces:

The number of edges:

The number of vertices:

Answers

Answer:

102

Step-by-step explanation:

first, count each rectagal,(6) then count each side of the rectangel (17). Lastly do 6x17= 102

(MAYBE WRONG)

Two angles are supplementary angles if the sum of their measures is 180 degrees. Find the measures of two supplementary angles if the measure of one angle is 3 degrees less than twice the other.

Answers

Answer:

60 degrees and 119 degrees

if the smaller angle is x, then

x + 2x - 3 = 180

3x -3 + 3 = 180 + 3

3x/3 = 183/3

x=61

2(61) - 3 = 119

Fill in the blanks below to complete
the rules for even and odd numbers.

1. Even + Even =

Show an example to prove your answer.


2. Odd + Odd =

Show an example to prove your answer.


3. Even + Odd =

Show an example to prove your answer.

Answers

Step-by-step explanation:

1) Even + Even = Even

example : 26 + 22 = 48

2) Odd + Odd = Even

example : 11 + 13 = 24

3) Even + Odd = Odd

example : 43 + 2 = 45

find the period pls help asap

Answers

To find the period

  ⇒ let's define what the period is

Definition of Period:  the interval of time between successive occurrences of the same state in an oscillatory or cyclic phenomenon

Based on the definition:

     ⇒it states that we must look for how long it takes the function to

         complete one cycle of repetition

In this graph: it takes [tex]\pi /2[/tex] to complete one period or one cycle of repitition

Answer: [tex]\frac{\pi }{2}[/tex]

Hope that helps!

3d + d what do i put this is Confusing

Answers

Answer:

4d

Step-by-step explanation:

i think any variable alone with no coefficient equals one

so this problem is like adding the terms 3d + 1d

so 1+3=4

and you use the variable d at the end

therefore the answer would be 4d

hope this helped<3

Answer:

4d

Step-by-step explanation:

3d+d this means 3d+1d because any variable without a coefficient is 1

which means

3d+1d

=4d

hope this helps!!!

Jason and his three friends went bowling. They bowled all afternoon and each paid $3.25 per game. Jason had a coupon for one free game. Three of his friends paid $2.75 each to rent shoes. Using this information, Jason writes the expression 3.25\left(g-1\right)+2.75\left(3\right). What does Jason’s expression represent? the number of friends who bowled the number of friends who bowled the number of games Jason and his friends bowled the number of games Jason and his friends bowled the amount of money Jason saved using the coupon the amount of money Jason saved using the coupon the amount of money Jason and his friends spent that afternoon

Answers

The expression 3.25(g-1) + 2.75(3) by Jason and his friends is a linear expression

The number of friends who bowled is 3The number of games Jason and his friends bowled is gThe amount of money Jason saved using the coupon is 3.25 The amount of money Jason and his friends spent that afternoon is 3.25(g-1) + 2.75(3)

How to interpret the expression?

The expression is given as:

3.25(g-1) + 2.75(3)

The above expression means that:

-1 represents the coupon on one free game3.25 represents the amount paid per game2.75 represents the amount paid to rent a shoe3 represesents the number of shoes they rent

Read more about linear expressions at:

https://brainly.com/question/14323743

Reduce the fraction 1602
-450

Answers

Answer:

the redued version of the fration 1602/420 is 3 14/25

Answer:

89/25

Step-by-step explanation:

you divide 1602 and 450

What is a self portrait______
A. A portrait done by the artist of his or herself
B. An artistic photo of a group of people including yourself
C. A portrait of shelves
D. A selfie

Answers

option A

hope it helps...!!

Suppose that $500 is deposited into an account that pays 5.5% interest compounded
quarterly. How long will it take for the account to contain at least $1400? Round to the
nearest whole number.

Answers

Answer:

18.85 years

Step-by-step explanation:

Using the [tex]A=P(1+\frac{r}{n} )^{nt}[/tex] we can manipulate it to give us time.

However, let's identify our variables:

A is our final amount which is given to us, $1400.

P is our principle which is $500.

r is our rate which is 5.5% which can be traducted into 0.055.

n is the # of time our money get compounded per year, in this case quarterly means 4 times a year therefore n = 4.

t is time and is what we are trying to solve for.

Now let's manipulate our equation to find t:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

[tex]\frac{A}{P} =(1+\frac{r}{n} )^{nt}[/tex]

[tex]\frac{1400}{500} =(1+\frac{0.055}{4} )^{4t}[/tex]

[tex]2.8=1.01375^{4t}[/tex]

[tex]log_{1.01375}(2.8)=log_{1.01375}1.01375^{4t}[/tex]

[tex]log_{1.01375}(2.8)=4t[/tex]

[tex]\frac{log_{1.01375}(2.8)}{4} =t[/tex]

[tex]18.84876253=t[/tex]

It would take about 18.85 years in order for you to accumulate at least $1400.

4.

Write an equation and solve it. Anything goes as long as you address the following points:

a. The equation must start with an 'x' variable in an exponent.

b. The equation must require logarithms to solve.

c. In the solution you must use the power rule, the product rule and the quotient rule at least once each.

d. Explain each step as you solve; which rules are you using and why?

e. What challenges did you face as you were writing your problem? Did you run into any dead ends?


My problem lies in finding an exponential equation [tex]N^x=N^x[/tex] (N being any positive number) that needs all 3 rules to solve. I can come up with an equation that uses 2 of the rules but I'm stuck on adding the third. Any suggestions would be nice. Thanks

Answers

Step-by-step explanation:

hope you understand. :)

What is the domain and range? what type of relation is this

Answers

Domain will be the list of x values. Range will be the list of y values.

Help please, this is due on April 18th tmr. :/

Answers

Answer:

m<RUS = 65°

m<UST = 15°

Step-by-step explanation:

Hi there!

We are given circle O, with a diameter of US

The measure of arc RU is 50°, and the measure of arc UT is 30°

We want to find the measure of <RUS and <UST

First, let's start with <RUS
As stated before, we were given the diameter of a circle - that is segment US

Notice how ΔRUS (which contains <RUS) contains the diameter US - this means that the portion of the circle that contains ΔRUS is a semicircle.
If that portion is a semicircle, then that means that m<URS is 90°

Next, we know that the measure of arc RU is 50°

Notice how <RSU is an inscribed angle, meaning that it is created by 2 chords, and that its vertex is on the circle itself

Inscribed angles are half the measure of the arcs they intercept. The arc that <RSU intercepts is arc RU, which means that the measure of <RSU is 25°

Now, to find m<RUS, you can do m<URS - m<RSU, as the acute angles in a right triangle add up to 90°

In that case:

m<RUS = m<URS - m<RSU

via substitution, m<RUS = 90° - 25°

m<RUS = 65°


Now we need to find the measure of <UST

Notice how m<UST is also an inscribed angle

The arc it intercepts is arc UT, which we were given has a measure of 30 degrees

Therefore, m<UST = half of the measure of arc UT

Via substitution,

m<UST = 1/2 * 30

m<UST = 15°

Hope this helps!

Please help as fast as possible

Answers

[tex]\rm Answer:[/tex]

20.125%

To find the relative frequency, divide the frequency(f) by the total number of data values (n).

[tex]\rm \# KiroToshiroComeback[/tex]

30 divided by 14 written as a fraction

Answers

Answer:

I believe your answer is 15/7

Let's solve.

    [tex]\frac{30}{14} =\frac{15 * 2}{7*2} =\frac{15}{7}[/tex]

Hope that helps!

Find the set of values of m for which the line with equation y = mx + 1 and the curve with equation y = 3x^2+ 2x + 4 intersect at two distinct points.

Answers

Answer:

Given : line y=mx+4 intersects the curve y=3x2 −4x+7at two distinct points.

To find :   set of values of m

Step-by-step explanation:

y = mx  + 4

y = 3x² − 4x + 7

Substitute y = mx + 4  to find intersection point

mx + 4  = 3x² − 4x + 7

=>  3x² - x(m + 4) + 3 = 0

(m + 4)² > 4(3)(3)  

=> m² + 8m + 16 >  36

=> m² + 8m - 20 >  0

=> (m + 10)(m - 2) >  0

m <  - 10  & m > 2

m  = (-∞ , - 10) ∪ ( 2 , ∞ )

Making auto parts A grinding machine in an auto
parts plant prepares axles with a target diameter
p = 40.125 millimeters (mm). The machine has
some variability, so the standard cleviation of tlic
diameters is a = 0.002 mm. The machine operator
inspects a random sample of 4 uxles cach hour for
quality control purposcs and records llic sample
mcan diameter 1. Assuming that the process is work-
ing properly, what are the mean and standard devia I
fion of the sampling distribution of ? Explain.

Answers

Answer: See below

Step-by-step explanation:

Mean:

Since the sample is taken from a large population it follows the central limit theorem, which states that the sample mean is approximately equal to the population mean.

Therefore: [tex]\bold{\bar{X}=\mu=40.125}[/tex]

Standard Deviation:
Again by central limit theorem the standard deviation of the sample is calculated as:

[tex]S=\frac{\sigma}{\sqrt{n}}[/tex]

Since n=4, therefore

S = 0.001

what would be the best response to the question in the picture above please respond soon. (will give brainliest)

Now consider the product of a nonzero rational number and an irrational number. Again, assume x = where a and b are integers and b#0. This time lety be an irrational number. If we assume the product x.y is rational, we can set the product equal to where mand n are integers and n = 0. The steps for solving this equation for y are shown. Statement Reason cy= 02 72 D.y= substitution 8 y = multiplication property of equality a mb na Simplify Based on what we established about the classification of y and using the closure of integers, what does the equation tell you about the type of number y must be for the product to be rational? What conclusion can you now make about the result of multiplying a rational and an irrational number? ​

Answers

Answer:

The product of a rational number with an irrational number is an irrational number. To see this assume that x is a rational number and y an irrational number. Then let us assume that the product xy is rational, which means that there are integers a,b such that xy=a/b. But then we obtain y=(1/x)(a/b) which is also rational since the set of rational numbers is closed under multiplication. But this is a contradiction since y was assumed to be an irrational number.

Step-by-step explanation:

Question:Now consider the product of a nonzero rational number and an irrational number. Again, assume x =a/b , where a and b are integers and b ≠ 0. This time let y be an irrational number. If we assume the product x · y is rational, we can set the product equal to m/n, where m and n are integers and n ≠ 0. The steps for solving this equation for y are shown. Based on what we established about the classification of y and using the closure of integers, what does the equation tell you about the type of number y must be for the product to be rational? What conclusion can you now make about the result of multiplying a rational and an irrational number?

Answer:2

Ray YL bisects ZAY B. Find the measurement of
ZBYL.
B
(7x + 17)
(3(4x - 1))
Y
0 90
0 45
0 None of the above
0 20

Answers

Answer:

B. 45

Step-by-step explanation:

YL is the angle bisector of ∠AYB, so the two angles are congruent:

∠AYL ≅ ∠BYL

Substitute and solve for x:

7x + 17 = 3(4x - 1)7x + 17 = 12x - 312x - 7x = 17 + 35x = 20x = 4

Find the value of ∠BYL:

3(4*4 - 1) = 3(16- 1) = 3(15) = 45

This is matching the answer option B.

The red angles must be equal as YL is bisector

7x+17=3(4x-1)7x+17=12x-317+3=12x-7x20=5xx=4

<BYL

3(4(4)-1)3(16-1)3(15)45

Option B

A group of friends were working on a student film that had a budget of $1400. They used $168 of their budget on costumes. What percentage of their total budget did they spend on costumes?

Answers

Answer:

12%

Step-by-step explanation:

$ spent / total budget

168 / 1400 = 0.12

0.12 = 12%

Good people please help me!!!! ​

Answers

Answer:

P=90°

R=45°

Step-by-step explanation:

PQR=180°

180°-45°=135°

R=45°(iscoles triangle)

P=90°

PLEASE HELP
The pictures to the right show how much sausage and pepperoni pizza was left at the end of one day. Which fraction represents how much more sausage pizza then pepperoni pizza was left?

Answers

Answer:

3/8

Step-by-step explanation:

There was 4/8 (or 1/2) of the pepperoni pizza left, and there was 7/8 of the sausage pizza left. To find out how much more sausage pizza was left than pepperoni pizza, you have to subtract the amount of pepperoni pizza remaining from the amount of sausage pizza remaining.

sausage pizza left - pepperoni pizza left = how much more sausage pizza than pepperoni pizza is left

Now, let's fill in the numbers.

7/8 - 4/8 = ?

7/8 - 4/8 = 3/8

Therefore, there was 3/8 more sausage pizza than pepperoni pizza left.

I hope this helps! Have a lovely day!! :)

Answer:

3/8

Step-by-step explanation:

So there is 7/8 sausage left and 4/8 pep left. The difference between the two is three slices (7/8 - 4/8) which is 3/8th of the whole pizza. This means that 3/8 represents the amount of pizza sausage has that pepperoni doesnt

Kira is a lovable dog who is full of energy. Her owner thought it would be fun to train her by throwing a frisbee for her to catch. When the frisbee is thrown, it follows a parabolic path that is modeled by the function h(t) = – 0.07t2 + 0.007t + 5. How many seconds will it take for the frisbee to hit the ground?

Answers

Solving the quadratic equation, it is found that it will take 8.5 seconds for the frisbee to hit the ground.

What is the equation for the frisbee's height?

It is given by:

h(t) = -0.07t² + 0.007 + 5.

Which is a quadratic function with coefficients a = -0.07, b = 0.007, c = 5.

It hits the ground when h(t) = 0. Hence, the solution is found as follows.

[tex]\Delta = (0.007)^2 - 4(-0.07)(5) = 1.400049[/tex]

[tex]x_1 = \frac{-0.007 + \sqrt{1.400049}}{2(-0.07)} = -8.4[/tex]

[tex]x_2 = \frac{-0.007 - \sqrt{1.400049}}{2(=0.07)} = 8.5[/tex]

It will take 8.5 seconds for the frisbee to hit the ground.

More can be learned about quadratic equations at https://brainly.com/question/24737967

If there is 54% increase on a $54 item, then how much is the new cost for next year? Round to the nearest penny.

Round your answer to 2 decimal places.

Answers

Answer: $83.16

Step-by-step explanation:

     This means that next year the item will cost 154% of what it is now.

154% / 100 = 1.54

$54 * 1.54 = $83.16

                    Next year the item will cost $83.16.

............................................

Answers

Answer:

yoo :)

Step-by-step explanation:

What’s the answer????

Answers

Answer:

i think its c

Step-by-step explanation:

sorry if im worng

Answer i believe its a or d

Step-by-step explanation:

im not to sure but i did try to do the math on it so.

solve for x ~
[tex]81x - 27x = 9[/tex]



thankyou ~​

Answers

Listen ducky: 81x-27x=9

54x=9

X=1

---

6

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

Here we go ~

[tex]\qquad \tt \dashrightarrow \:81x - 27x = 9[/tex]

[tex]\qquad \tt \dashrightarrow \:9(9x - 3x )= 9[/tex]

[tex]\qquad \tt \dashrightarrow \:(9x - 3x )= 1[/tex]

[tex]\qquad \tt \dashrightarrow \:6x = 1[/tex]

[tex]\qquad \tt \dashrightarrow \:x = \cfrac{1}{6} [/tex]

Calculate the magnitude of :
1.1.
[tex] \alpha [/tex]

Answers

Answer:

135°

have a nice day

hope it helps

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