The circumference of the base of a cone is 24 inches. The slant height of the cone is 20 inches.

What is the surface area of the cone? Express the answer in terms of .

240 square inches
384 square inches
480 square inches
624 square inches

Answers

Answer 1

The surface area of a cone with circumference base of 24π inches and slant height of 20 inches is 384π inches² in terms of π.

Surface area of a cone

surface area = πr(r + l)

where

r = radiusl = slant height

Therefore,

l = 20 inches

24π = 2πr

r = 12

Therefore,

surface area  = π(12)(12 + 20)

surface area = 12π(12 + 20)

surface area = 12π × 32

surface area = 384π inches²

learn more on surface area here: https://brainly.com/question/2847956

Answer 2

Answer:

B)  384 π square inches

Step-by-step explanation:

E2020


Related Questions

The sales tax on a table saw is $8.25.
a. What is the purchase price of the table saw (before tax) if the sales tax rate is 5.5%?
b. Find the total price of the table saw.

Answers

Answer:

  a.  $150

  b.  $158.25

Step-by-step explanation:

a.

The amount of tax is the product of the tax rate and the price being taxed. This relation can let us solve for the price.

  tax = tax rate × price

  price = tax/(tax rate) = $8.25/0.055 = $150.00

The purchase price of the table saw is $150.00.

__

b.

The total price is the sum of the purchase price and the tax.

  total price = price + tax

  total price = $150.00 +8.25 = $158.25

The total price of the table saw is $158.25.

Pls help me
Question 4 Part A (5 points):
Carlos started a business growing palm trees in South Florida.
The function t(s) = 3s + 20 represents the
number of palm trees that grew, where s is the
number of seeds he planted.
The function s(d) = 20d represents the number
of seeds he plants per day, where d represents
the number of days.

Write a composite function that represents
how many palm trees Carlos can expect to
grow over a certain number of days.

Answers

The composite function combines the palm tree and the seed functions

The composite function is t(d) = 60d + 20

How to determine the composite functions

The functions are given as:

Number of palm trees: t(s) = 3s + 20

Number of seeds: s(d) = 20d

The composite function that represents the number of palm trees Carlos can expect to grow over a certain number of days is represented as:

t(s(d))

This is calculated as:

t(s(d)) = 3s(d) + 20

Substitute s(d) = 20d

t(s(d)) = 3 * 20d + 20

Evaluate the product

t(s(d)) = 60d + 20

Rewrite as:

t(d) = 60d + 20

Hence, the composite function is t(d) = 60d + 20

Read more about composite functions at:

https://brainly.com/question/10687170

 Find the equation of the line that is perpendicular to 4 x + 3 y = 5 and goes through the point (3, –3)

Answers

Step-by-step explanation:

the line equation

y = ax + b

gives us slope (a) and y-interception (b).

4x + 3y = 5

3y = -4x + 5

y = -4/3 × x + 5/3

the slope of the original line is therefore -4/3.

a perpendicular slope flips x and y upside-down and flips the sign.

so, the perpendicular slope of -4/3 is 3/4.

the desired line looks like

y = 3/4 × x + b

b we get by using the given point and its coordinates :

-3 = 3/4 × 3 + b = 9/4 + b

-12/4 = 9/4 + b

b = -21/4

so our full line equation is

y = 3/4 × x - 21/4

or

4y = 3x - 21

-3x + 4y = -21

Triangle ABC is similar to triangle WYZ.

Select all angles whose cosine equals 3/5.

Angle A
Angle C
Angle Z
Angle B
Angle W
Angle Y

Answers

The Angles that cosine are Angles A,C,Z,and W

Answer:

Angles A and W.

Explanation:

Cosine = Adjacent side/Hypotenuse

What’s the difference between 4, 7/9 and 2 1/2

Answers

[tex]\huge \mathbb \orange{ANSWER} [/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \mathsf \purple{4 \frac{7}{9} - 2 \frac{1}{2} }[/tex]

[tex] \blue\implies \mathsf \pink{ 2(\frac{43}{9}) - (\frac{5}{2} )9 }[/tex]

[tex] \blue \implies \mathsf \purple{ \frac{86}{18} - \frac{45}{18} }[/tex]

[tex] \blue \implies \mathsf \pink{ \frac{41}{18} = 2 \frac{5}{18} }[/tex]

a bag contains coins of rupees 2 Rupees 1 and 50 paise, in ratio of 1 is to 2 is to 4. if the total amount is rupees 72 find how many 50 paise coins are there?

Answers

Answer:

Final answer -

[tex]number \: of \: 50 \: paise \: coins \: in \: the \: bag = 4x \\ \dashrightarrow{4 \times 12 = 48 \: coins}[/tex]

hope helpful :D

The number of 50 paise coins that we have in the bag with the respective other coins is; 48 coins

How to solve currency conversions?

Since the respective coins are in ratio of 1:2:4. Then, we can deduce the following;

Let number of 2 rupees coins in the bag = 1x

Let number of 1 rupees coins in the bag = 2x

Let number of 50 paise coins in the bag = 4x

Total amount of money = 72 rupees. Thus;

(2 * 1x) + (1 * 2x) + (0.5 * 4x) = 72

2x + 2x + 2x = 72

6x = 72

x = 72/6

x = 12

Thus, number of 50 paise coins = 4x = 4 * 12 = 48 coins

Read more about Currency Conversions at; https://brainly.com/question/11160294

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1). 15workers can dig a well in 16 days.how long will it take to dig the well by 20 workers?

2). 24 men can do a piece of work in 15 days. in how many days can 45 men do another piece of work 2 times as great

Answers

Answer:

a)12days

b)8days

Step-by-step explanation:

15x16

=240

240÷20

=12days

24x15

=360

360÷45

=8 days

What is a2+b2+c2? Thank you for your help.

Answers

Answer:

Pythagoras theorem

Step-by-step explanation:

dhebbd

Click and drag like terms onto each other to simplify fully. 1+7+3y

Answers

Answer:

8+3y

Step-by-step explanation:

Combine like terms; 1+7=8. That is the only like term in this expression.

Need some help 54 pts

Answers

Step-by-step explanation:

as shown in the picture.

you can comment if there is a problem

i need help with this problem

Answers

Answer:

Disagree

Step-by-step explanation:

because it looks like less than 45

Gena and her friends each estimated the quotient of –137.56 divided by –6.12 using compatible numbers. Which shows the best estimate using compatible numbers?

Answers

Answer:

23

Step-by-step explanation:

Compatible numbers : numbers that are easy to add, subtract, multiply, or divide mentally.  They are close in value to the actual numbers, although they do not necessary need to be rounded numbers.

-138 is close to -137.56

-6 is close to -6.12

[tex]\implies \dfrac{-138}{-6}[/tex]

Divide the top and bottom by -2:

[tex]\implies \dfrac{69}{3}[/tex]

Divide the top and bottom by 3

[tex]\implies 23[/tex]

If this is too difficult to divide mentally, you could use -140 and -7:

[tex]\implies \dfrac{-140}{-7}[/tex]

As 2 x 7 = 14, then 20 x 7 = 140, so the answer is 20.

Does x/x+11 simplify to 1/11? Why or why not ?

Answers

Answer:

No.

Step-by-step explanation:

Because only x / 11x simplifies to 1 / 11

X and 11 are not the same, therefore you cannot simplify them

Use the distributive property to write the following expressions in expanded form. 4(x +y)

Answers

Answer:

4x+4y

Step-by-step explanation:

Answer:

4x + 4y

Step-by-step explanation:

To do this you need to know that the number (or variable) on the outside of the parenthesis must be multiplied to all of the numbers/variables on the inside of the parenthesis.

So here, you want to multiply x by 4:

4x

Then multiply y by 4:

4y

And because the expression is adding the x and y, it comes out as:

4x + 4y

Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.

Answers

Answer:

  k = 3

Step-by-step explanation:

The value of k is the amount by which the function f(x) is translated upward to give the function g(x). We can compare y-intercepts to see that the y-intercept of g(x) is 5 -2 = 3 units more than the y-intercept of f(x). This means ...

  g(x) = f(x) +3

Comparing to ...

  g(x) = f(x) +k

we see that k = 3.

pls help
Letf(x)=(x+2)2.

Letg(x)=3(x+2)2.



Which statement describes the graph of g(x) with respect to the graph of f(x)?



It is compressed horizontally by a factor of 3.
It is translated up 3 units.
It is stretched vertically by a factor of 3.
It is translated right 3 units.

Answers

The difference between g(x) and f(x) is that g(x) has a 3 in front being multiplied.

g(x) is the same as saying y, so…
y=3(x+2)2

Because it is multiplying all of the terms by 3, y will be 3 times larger than it would be in f(x). Y is the vertical variable, so it will be stretched vertically by 3.

Alternatively, depending on how your teacher teaches it, 3 is in the location of the “a” value. A is a number that stretches an equation vertically by a factor of itself. Since a=3, the equation is stretched by a factor of 3.

Kerry cut an 8 foot long board in 3 pieces that are equal in length. How long was each board?​

Answers

Answer:

2 2/3 foot

Step-by-step explanation:

3x=8

x=8÷3

=2 2/3 foot

Which of the following is true of the numbers 4 and 10?

A. The greatest common factor is
B. The least common multiple is
C. The greatest common factor is 20.
D. The least common multiple is 40.​

Answers

Answer:

None

Step-by-step explanation:

Answer is isn't there

the gcf = 2

the LCM = 20

Each of students reported the number of movies they saw in the past year. Here is what they reported.
11,6 ,9 ,16 ,12 ,18 ,14
Find the mean number of movies that the students saw.
If necessary, round your answer to the nearest tenth.

Answers

Answer:

18+16+14+12+11+9+6=8686÷7=12.2812.28=13

Answer:

12.3

Step-by-step explanation:

11+6 +9 +16 +12 +18 +14 =86

86/7 = 12.28571

Tenths is the place value of the digit that appears after the decimal. It represents the 1/10 position of the digit

          (12.3) rounded  to the nearest tenth.

 

draw a model of 1/2 ÷ 4 pls don't say I cant draw it or something I DONT GET IT THEN BUT IF YOU CANT DRAW IT PLS EXPLAIN GOOD! URGENT!!!

Answers

Answer:

try using a pie chart and split the division up in the pie, look to internet for images for an example

Step-by-step explanation:

Answer:

The answer is 3.1

Step-by-step explanation:  1/2  ÷ 4 would go like 4-1/2=2.8 then do it again 2.5-1/2=1.3 then do it once more 1.3  ÷ 1/2= 0.1 so the overall answer is 3.1. Your welcome!

Help please! How many cups for white paint on 1 then white paint on 10!

Answers

Answer:

1 is .83 or .80 if your rounding and 10 is 8.3 but if your rounding its just 8

Step-by-step explanation:

Its because 5/6 is .83 so for every 1 white there .83 red

Simplify Sinx + cosx/ cos²x - sin²x​

Answers

[tex]\dfrac{\sin x + \cos x}{\cos^2 x - \sin^2 x}\\ \\\\=\dfrac{\sin x + \cos x}{(\cos x + \sin x )\\\\(\cos x - \sin x)}\\\\\\=\dfrac{1}{\cos x - \sin x}[/tex]

Find an equation of the vertical line through (-4,-3)

Answers

Answer:

x = -4

Step-by-step explanation:

Vertical lines are up and down, which means the x coordinate stays the same.

This means the line is in the form

x=

x = -4

Answer:

Step-by-step explanation:

A vertical line has the general equation of x = a. y can be anything.

The x value that you will use is -4. Every point must have -4 as its value for a.

Answer: x = -4

112 is 80% of what number?

A. 140

B. 896

C. 1,400

D. 8,960

Answers

Answer:

A

Step-by-step explanation:

112/0.8 = 140

Answer:

A

Step-by-step explanation:

I am not sure about the answer

Which of the binomials below is a factor of this trinomial?

x^2 + 8x + 16

A. x + 4

B. x - 4

C. x + 8

D. x - 8

Answers

The answer is A.

Pick A.

Good luck

Given that g(x) = f(x) + k, identify a value of k that transforms f into g

Answers

Answer:

7

Step-by-step explanation:

The value of k will translate the graph up k units if k is positive and down k units if k is negative.  To transform f into g line f would translate up 7 units.

Larger is 32 ounces and sells for 2.99 and smaller is 18 ounce and sells for 1.59
What is the better buy

Answers

Divide price by size of each and compare the u it price:


2.99/32 = 0.0934 per ounce


1.59/18 = 0.0883 per ounce


The 18 ounce do $1.59 has a lower cost per ounce so is the better buy

Which number is a common multiple of 3 and 4?
A) 8
B) 14
C) 32
D) 48

Answers

Answer:

LCM of 3 and 4 is 12

Step-by-step explanation:

This is your answer

Answer:

The answer is D.

Step-by-step explanation:

To find the common multiple you would divide each answer choice by both numbers & if the are whole numbers then there is your answer. If it is a number with a decimal somewhere then that is not the answer.

An orchard has 700 pear trees. The number of rows exceeds the number of trees per row by 3. How many trees are there in each row?

Answers

Answer:

25

Step-by-step explanation:

Number of rows: x

Number of trees per row: y

So x rows multiplied by y trees per row = 700

x × y = 700

xy = 700

This is our first equation

x rows = y trees per row plus three (or x rows minus three = y trees)

x = y + 3

So if x = y + 3,

In xy = 700, we can substitute the x because we have it's value

(y + 3)y = 700

y² + 3y = 700

Divide 3 by 2 then square the answer = 2.25

y² + 3y + 2.25 = 700 + 2.25

Simplify

(y + 1.5)² = 702.25

Get the square root of both sides

(y + 1.5) = ±26.5

y = 26.5 - 1.5 or -26.5 - 1.5

So y is either 25 or -28 (A negative number of trees doesn't make sense so we'll stick with 25

Let x and b be positive real numbers so that log_b(x^2) = 10. Find log_3sqrtb (1/x)

Answers

The value of the logarithm log₃ (x⁻¹)[tex]^{1/b}[/tex]  where x and b positive real numbers is - 5 · b⁻¹ · log₃ b.

How to analyze and solve logarithmic expressions

Logarithms are trascendental functions, that is, functions that cannot be described algebraically.

In this question we must apply logarithm and algebraic properties to determine firstly the value of [tex]x[/tex] and later to find value of the latter logarithm. Now we proceed to find the value of [tex]x[/tex]:

[tex]\log_{b} x^{2} = 10[/tex]

[tex]2\cdot \log_{b} x = 10[/tex]

[tex]\log_{b} x = 5[/tex]

x = b⁵

Then, the value of the latter logarithm is:

log₃ (x⁻¹)[tex]^{1/b}[/tex]  

- b⁻¹ · log₃ x

- b⁻¹ · log₃ b⁵

- 5 · b⁻¹ · log₃ b

The value of the logarithm log₃ (x⁻¹)[tex]^{1/b}[/tex]  where x and b positive real numbers is - 5 · b⁻¹ · log₃ b. [tex]\blacksquare[/tex]

Remark

The statement is poorly formated, correct form is described below:

Let [tex]x[/tex] and [tex]b[/tex] be positive real numbers so that [tex]\log_{b} x^{2} = 10[/tex]. Find [tex]\log_{3} \sqrt [b]{\frac{1}{x} }[/tex].

To learn more on logarithms, we kindly invite to check this verified question: https://brainly.com/question/3181916

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