What is the surface area of the right cone below?
O A. 126x units
O B. 54 units
OC. 63x units
D. 998 units
O

What Is The Surface Area Of The Right Cone Below?O A. 126x UnitsO B. 54 UnitsOC. 63x UnitsD. 998 UnitsO

Answers

Answer 1

Answer:

[tex]SA=54\pi\ units^2[/tex]

Step-by-step explanation:

we know that

The surface area of the cone is given by the formula

[tex]SA=\pi r^{2}+\pi rl[/tex]

where

r is the radius of the base

l is the slant height

we have

[tex]r=3\ units\\l=15\ units[/tex]

substitute

[tex]SA=\pi (3)^{2}+\pi (3)(15)[/tex]

[tex]SA=54\pi\ units^2[/tex]


Related Questions

A 32. In bat is leaning against a fence. If the bat is 15 in. Away from the base of the fence, what angle is formed between the ground and the bat?

Trigonometry

Answers

Answer:

509.8

Step-by-step explanation:

The last one on 1/23

The angle formed between the ground and the bat is 62.04 degrees

How to calculate the angle of elevation and depression

From the given question, we have the following parameters:

Length of the bat = 32in

Measure of the distance from the bat to the ladder = 15in

Required

angle of elevation

Using the SOH CAH TOA identity

Cos θ = adjacent/hypotenuse

Cos θ = 15/32

θ = arccos(15/32)

θ = 62.04degrees

Hence the angle formed between the ground and the bat is 62.04 degrees

Learn more on angle of elevation here: https://brainly.com/question/88158

Which verbal expressions represents 4x - 10?

Answers

Answer:

four x minus ten

Step-by-step explanation:

4x = four x

-10 = minus ten

Answer:

Four times a number x minus 10

What is the relationship between
the sine and cosine of complementary angles?
Explain your reasoning and use the relationship
to find cos 50 if sin 40 0.64.​

Answers

Answer:

0.64

Step-by-step explanation:

Sine and cosine of angles are complimentary

This means

Sin x = Cos (90-x)

Cos x = sin (90 - x)

Therefore sin 40 = 0.64

Sin 40 = cos (90 - 40)

Sin 40 = cos 50

Cos 50 = 0.64

I hope this was helpful, please mark as brainliest

The answer is 0.64 for this question

[3 6] • [-4 -3 -6 -1]

Answers

Answer:

216

Step-by-step explanation:

Write an imequality” five times some number is less than 65”

Answers

Answer: 5x < 65

Step-by-step explanation: please give brainliest hope it helps and thankyou

Answer:

5x < 65

Step-by-step explanation:

Because 5*some number, you could use x.  then the less than symbol means that 5x is less than 65

How many different 4-digit personal identification numbers (PINs) can be made from the digit 0 through 9 if no digits repeat?

Answers

Answer:4960

Step-by-step explanation:

Answer:

Look below

Step-by-step explanation:

Searched it up.

66

the solution to -2[1 - 4x] = 3x + 8 is

Answers

Answer:  " 14 " .

________________________

     →  " x = 14 " .

________________________

Step-by-step explanation:

________________________

First, let us simplify the expression on the "left-hand side" of the equation:

  →  -2(1 −4x) ;

________________________

Note the "distributive property of multiplication" :

      →  a(b + c)  =  ab + ac  .

________________________

As such, we can rewrite:  

      → -2(1 − 4x)  = (-2)(1) + (-2)(-4x) ;

                         =  - 2 + 8x ;

                       ↔  8x − 2 ;

________________________

Now, rewrite the entire expression:

 →  8x − 2 = 3x + 8 ;

________________________

Subtract "(3x)" from each side of the equation;

      and add "2" to each side of the equation:

________________________

 →  8x − 2 − 3x + 2 = 3x + 8 − 3x + 2 ;

to get:  

 →   5x = 10 ;

Now, divide each side of the equation by "5" ;

  to isolate "x" on side of the equation;

      & to solve for "x" ;

________________________

 →  5x/5 = 10/5 ;

to get:

________________________

 →  x = 2 .

________________________

Now, let us check our work:

________________________

Plug in "2" for all "x-values" into the original equation;

to see if the equation holds true;

that is, to see if each side of the original equation given has the same value;  

      when "x = 2" :

________________________

Note the given equation:

________________________

   →   -2[1 − 4x] = 3x + 8 ;

________________________

Start with the left-hand side:

   →  -2[1 − (4*2)} = -2(1 − 8) = -2(-7) = 14 .

Now, continue with the right-hand side:

   →  3(2) + 8 = 6 + 8 = 14 .

___________________________________

   → 14 =? 14 ??? ;  Yes!

___________________________________

Hope this is helpful to you!

___________________________________

What solid 3D object is produced by rotating the quarter-circle about line m

Answers

Answer:

hemisphere.

Step-by-step explanation:

it is a hemisphere with radius=5 units.

or hemisphere with diameter=10 units

Answer:

A semisphere (half sphere) with diameter 10 units

Step-by-step explanation:

On Monday 3/12 of the students went on a field trip. What fraction of the students did not go on the field trip?

Answers

3/4 because 3/12 (students who went) subtracted from the total number of students (12/12) is 9/12 but when 9/12 i simplified it is 3/4

3/4 of the students did not go on the field trip.

On Monday, 3/12 of the students went on a field trip.

To find out what fraction of the students did not go on the field trip, we need to subtract the fraction that went on the field trip from the whole student body, which is represented by the fraction 1 or 12/12.

Let's perform the subtraction step-by-step:

Convert 1 to a fraction with the same denominator as 3/12: 1 = 12/12Subtract 3/12 from 12/12: 12/12 - 3/12 = 9/12Simplify the fraction 9/12: 9/12 = 3/4

Therefore, 3/4 of the students did not go on the field trip.

Fuel x costs $2 per gallon and fuel y costs $3 per gallon. You have at most $18 to spend on fuel. Write a system of linear inequalities to represent this situation.

(I did not mean to select one)

Answers

Answer:

First choice A : 2x +3y is less than or equal to 18. x greater than or equal to 0. y greater than or equal to 0.

If fuel x costs $2 per gallon, but Fuel y costs $3 per gallon. You may only spend up to $18 on petrol. The system of linear inequalities representing this situation is,2x+3y≤18,x≥0, and y≥0. Option A is correct.

What is inequality?

A collection of two or more inequalities in one or more variables is known as a system of inequalities. When there are multiple constraints on a problem's potential solutions and a range of potential solutions are needed, systems of inequalities are used.

Given that, fuel x costs $2 per gallon, but Fuel y costs $3 per gallon. You may only spend up to $18 on petrol.

The maximum or minimum values of a situation with multiple constraints are frequently determined using a system of linear inequalities.

Thus, if fuel x costs $2 per gallon, but Fuel y costs $3 per gallon. You may only spend up to $18 on petrol. The system of linear inequalities representing this situation is,2x+3y≤18,x≥0, and y≥0. Option A is correct.

Learn more about inequality here,

https://brainly.com/question/28823603

#SPJ2

If ∠P measures 27°, q equals 6.0, and r equals 7.2, then which length can be found using the Law of Cosines?

Answers

using the Law of Cosines, we can find that the length of side ( p ) is approximately 3.29 units.

We can use the Law of Cosines to find the length of side ( p ) (opposite angle[tex]\( \angle P \))[/tex] when we know the lengths of the other two sides [tex]\( q \) and \( r \)[/tex] and the angle [tex]\( \angle P \)[/tex].

The Law of Cosines formula is:

[tex]\[ c^2 = a^2 + b^2 - 2ab \cos(C) \][/tex]

In this case, we want to find the length of side \( p \), so we'll use \( p \) as the side opposite angle \[tex]( \angle P \), \( q \) as side \( q \), and \( r \) as side \( r \)[/tex].

Substitute the given values into the Law of Cosines formula:

[tex]\[ p^2 = q^2 + r^2 - 2qr \cos(\angle P) \]\[ p^2 = (6.0)^2 + (7.2)^2 - 2(6.0)(7.2) \cos(27^\circ) \]\\[/tex]

Now, calculate the value of \( p \):

[tex]\[ p^2 = 36 + 51.84 - 86.4 \cos(27^\circ) \][/tex]

Using a calculator, find \( \cos(27^\circ) \approx 0.891 \):

[tex]\[ p^2 = 36 + 51.84 - 86.4 \times 0.891 \]\[ p^2 = 36 + 51.84 - 77.02 \]\[ p^2 = 10.82 \][/tex]

Take the square root of both sides to solve for \( p \):

[tex]\[ p = \sqrt{10.82} \approx 3.29 \][/tex]

So, using the Law of Cosines, we can find that the length of side ( p ) is approximately 3.29 units.

what is the area of the smallest square?

Answers

Final answer:

The area of the smallest square is one quarter of the original square if its height and width are each half of the original.

Using geometrical shapes' proportional relationships, the area of a scaled-down square is calculated by squaring the factor by which the dimensions are reduced.

Explanation:

The area of the smallest square can be determined by comparing it with the area of a larger square.

If the dimensions (height and width) of the smallest square are half that of the original square, then its area is a quarter (1/4) of the original square.

This is because area is a two-dimensional measurement, hence when both dimensions are halved, the area is reduced by a factor of 2×2, which equals 4.

For instance, if we consider a square with an area represented by T2, and we know that the smallest square has half the height and half the width, we can calculate its area as (1/2T)×(1/2T) = T2/4.

If the area of a larger square is 4 m2, halving the dimensions will lead to an area of 1 m2 for the smallest square.

This concept is applicable to any geometrical shape where the dimensions are reduced proportionally.

The scaling down of dimensions and the resulting area calculation is a key concept in understanding how areas of similar planar figures relate to each other.

Which expressions are equivalent to x+x+x + 2x+x+x+2x, plus, x, plus, x, plus, 2 ?

Answers

Final answer:

To simplify the given expression, we combine like terms to get 8x+2.

Explanation:

This question can be answered by having basic understanding of rules of operations in algebra in general and about addition of expressions in particular

The expression

x+x+x+2x+x+x+2x can be simplified by combining like terms. This means adding together the coefficients of the same variables.

Combining

x terms gives 3x and combining 2x terms gives 4x. The expression becomes 3x+4x+x+x+2.

To further simplify, we can combine the like terms 3x, 4x and x to give

8x. Finally, we combine 8x and 2 to get the simplified expression 8x+2.

Therefore, the required answer of the question asked is 8x + 2.

To find the equivalent expressions to \( x + x + x + 2x + x + x + 2x + x + x + 2 \), we can perform some simplification by combining like terms.
Let's start by combining all the terms with \( x \) coefficients. When we add or combine like terms, we just sum their coefficients, keeping the variable \( x \) unchanged.
Here are the terms with \( x \) in them:
\( x + x + x + 2x + x + x + 2x + x + x \)
Now, let's add them up:
\( 1x + 1x + 1x + 2x + 1x + 1x + 2x + 1x + 1x = 11x \)
We just counted the number of \( x \)'s and there are eleven of them, hence \( 11x \).
Now let's consider the constant terms (the numbers without variables):
\( 2 \)
Since there is only one constant term, we don't need to combine it with anything else.
Now, we add the sum of the \( x \) terms to the constant term:
\( 11x + 2 \)
Therefore, the expression \( x + x + x + 2x + x + x + 2x + x + x + 2 \) simplifies to:
\( 11x + 2 \)
This is the equivalent expression to the original one given.

You leave a 12% tip for a $25 meal. How much is the tip, in dollars?

Answers

Answer:

3 dollars

Step-by-step explanation: divide 25 by .12=3.00

Answer:

$3

Step-by-step explanation:

25 X 1.12 = 28       $28-$25= 3 dollar difference.

(0.12 is the decimal form of 12%)

12) Melissa deposited $1,500.00 in an account that pays 6.5% interest compounded
quarterly. About what will the balance be in 7 years?
Equation:
A) $2,356.00
B) $937.00
C) $49,943.00
D) $21.00​

Answers

Answer:

A) $2356.00

Step-by-step explanation:

Principal, p = $1,500.00

Interest rate, r= 6.5%

Period, t = 7 years

compounded quarterly therefore, n = 4

Amount, A = P( 1 + r/n)^ n*t

A = 1500 ( 1 + 0.065/4)^ 4*7

A = 1500( 1 + 0.016)^28

A = 1500 ( 1.016) ^28

A = 1500 * 1.57

A = $2356.00

5. Solve the following equation for A : 2A/3 = 8 + 4A
A.-2.4
B. 2.4
C. 1.3
D. -1.3
E. O

Answers

Answer:

A

Step-by-step explanation:

Given

[tex]\frac{2A}{3}[/tex] = 8 + 4A

Multiply through by 3 to clear the fraction

2A = 24 + 12A ( subtract 12A from both sides )

- 10A = 24 ( divide both sides by - 10 )

A = - 2.4 → A

A diver starts at the surface of the water and travels 8 feet to the bottom.

Graph A shows her distance from the bottom during the journey.
Graph B will show her distance from the surface during the journey.

Complete each statement about Graph B.

Answers

Answer:

On Graph B, at 0 seconds, the graph will be 0 or nothing.

Then the graph will increase until 2 seconds.

Answer:

On Graph B, at 0 seconds, the graph will be 0 or nothing.

Then the graph will increase until 2 seconds.

Step-by-step explanation:

Help please! Explain as well too please!

Answers

Answer:

abut 20.5 im sorry i dont quite know how to explain it

Step-by-step explanation:

(-3x^2+x^4+x)+(2x^4-7+4x)

Answers

1. Remove parentheses

-3x^2 + x^4 + x + 2x^4 - 7 + 4x

2. Collect like terms

-3x^2 + (x^4 + 2x^4) + (x + 4x) - 7

3. Simplify

-3x^2 + 3x^4 + 5x - 7

A cylindrical barrel is 8 feet tall, and 5 feet wide at the bottom. What is the volume of the barrel?

Answers

The Volume is 157.04 ft.

Answer:

V = 50π ft³

Step-by-step explanation:

That "5 ft wide at the bottom" translates into "radius of (5/2) ft."

Volume of a cylinder of radius R and height H is V = πR²H, so here,

V = π(5/2)^2*8 ft³ or

V = π(25/4)(8) ft³, or

V = 50π ft³

HELP ASAP
1yd 1 ft=_____ya
A 1 1/2
B 1 1/12
C 1 1/3
D 1 1/6

Answers

Is there more to the question
I think the answer might be B. Not sure though.

What is the slope of the line with equation y-3=-1(x-2)?

Answers

Answer:

m = -1/2

Step-by-step explanation:

It moves right 2 and down 1.

Answer: slope is -1/2

Step-by-step explanation:

What is the surface area, in square inches, of the container?

Answers

Answer:

62 inches

Step-by-step explanation:

estimate each quotient. show your work. 165÷4​

Answers

Answer: 41 1/4

Step-by-step explanation: 160/4=40

5/4= 1 1/4

LIKE IF CORRECT

41 1/4 because if you multiply 41 and 4 you get 41 1/4

The number 8.375 x 10^-3 is equivalent to ____

Answers

Answer:

0.008375

Step-by-step explanation:

Answer:

hey

Step-by-step explanation:

8.375 can be written as

8375/1000

8375/ 10³

put in q

8375×10 power -3 × 10 power -3

8375× 10 power -6

0.008375

Operations with rational expressions

Answers

[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{w+7}{9}[/tex]

Solution:

Given expression:

[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}[/tex]

To solve the given expression:

First simplify: [tex]\frac{50-2 w^{2}}{3 w^{2}+9 w-30}[/tex]

[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30}=-\frac{2(w+5)(w-5)}{3(w-2)(w+5)}[/tex]

Cancel the common factor (w + 5).

                      [tex]$=-\frac{2(w-5)}{3(w-2)}[/tex]

Now substitute this in the given expression.

[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{2(w-5)}{3(w-2)} \cdot \frac{w^{2}+5 w-14}{6 w-30}[/tex]

Multiply the fractions [tex]\frac{a}{b} \cdot \frac{c}{d}=\frac{a \cdot c}{b \cdot d}[/tex]

                               [tex]$=-\frac{2(w-5)\left(w^{2}+5 w-14\right)}{3(w-2)(6 w-30)}[/tex]

Factor the denominator [tex]3(w-2)(6 w-30) =18(w-2)(w-5)[/tex]

                               [tex]$=-\frac{2(w-5)\left(w^{2}+5 w-14\right)}{18(w-2)(w-5)}[/tex]                        

Cancel the common factor 2(w – 5).

                               [tex]$=-\frac{w^{2}+5 w-14}{9(w-2)}[/tex]

Factor the numerator [tex]w^{2}+5 w-14=(w-2)(w+7)[/tex]

                               [tex]$=-\frac{(w-2)(w+7)}{9(w-2)}[/tex]

Cancel the common factor (w – 2).

                               [tex]$=-\frac{w+7}{9}[/tex]

[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{w+7}{9}[/tex]

Multiplying Polynomials :


(X + 4)(X - 1/2)

Answers

Answer:

2x²+7x-4

Step-by-step explanation:

(x+4)(x-1/2)

First multiply (x-1/2) by 2.

We have (2x-1)

(x+4)(2x-1)

Expanding it, we have

x(2x-1)+4(2x-1)

2x²-x+8x-4

2x²+7x-4

5y+1=1 subtract 1 from both sides

Answers

Answer:

5y

Step-by-step explanation:

All you have to do is subtract 1 from both side so subtract 1 from one side than the other. If you have to find out what y equals, then after subtracting, divide 5 from both sides and y would equal 5. Hope this helped

Answer:

1)  If you want to solve the equation, x is 0/5 or 0

2) If you want to subtract 1, the answer is 5y = 0

Step-by-step explanation:

1)  5y + 1 = 1

        5y = 0

2) 5y + 1 = 1      Subtract both sides by 1

         5y = 0     Isolate the variable by dividing 5 on both sides

            y = 0/5 or 0

 

Need help asppppppppppppp!!!!!!!!

Answers

Answer:

40

Step-by-step explanation:

72-32=40

What is the diameter of a circle with an area of 100 pie square feet

Answers

Answer: diameter =20ft

Step-by-step explanation:

Other Questions
Final reports represent the end product of a thorough investigation and analysis. They provide an ordered format for presenting information to decision makers and are divided into segments to make information comprehensible and accessible. Formal reports usually consist of three divisions. a. Which element of formal proposals is similar to that of informal proposals? My Notes (a) A 41 resistor is connected in series with a 6 F capacitor and a battery. What is the maximum charge to which this capacitor can be charged when the battery voltage is 6 V? (When entering units, use micro for the metric system prefix .) Plzzz help me I dont understand aTT ALL if I dont do it Ill get a 0 in my report card plz help Why do banks pay their customers interest on the money in their savings accounts? A.High interest rates provide customers with an incentive to choose a particular bank. B.Interest payments make it more worthwhile for customers to stay loyal. C.The government requires all savings accounts to pay interest. D.The bank charged interest when it loaned that money to someone else. Below are a set of heights (in inches) and GPA scores for a sample of 6 students. Height, GPA 60, 4.0 55, 3.2 62, 3.7 55, 3.9 49, 2.4 61, 2.7 Find the equation of the regression line to predict GPA from height by hand Graph this line using the slope and y-intercept Y=1/2x+9 Your older sister recently had a baby and is confused about when she should wean her daughter. Based on what you learned in physical anthropology class about the timing and characteristics of life history stages in humans, what do you tell her? A 19.0 L helium tank is pressurized to 26.0 atm. When connected to this tank, a balloon will inflate because the pressure inside the tank is greater than the atmospheric pressure pushing on the outside of the balloon. Assuming the balloon could expand indefinitely and never burst, the pressure would eventually equalize causing the balloon to stop inflating. What would the volume of the balloon be when this happens a die is rolled. What is the probability that the result is less than 3? Gambrinus is a large company that owns and operates the breweries that produce Moosehead Lager, Bridgeport Ale, Pete's Wicked Ale, Corona beer, Trumer Pilsner, and Shiner Bock. Each brewery is run as an independent division and each produces a malt liquor that appeals to a different market. This is an example of departmentalization by: Ronella Rump shoots her boyfriend Herbert Hickup with a.22 pistol after she loses her temper in an argument. It is a minor wound, but Herbert is taken to the hospital to have the bullet removed. The hospital is crowded and Herbert is left on a gurney in the cold hallway of the hospital. He dies from shock. Ronella is guilty of unlawful homicide. What is key to preventing extinction of any one species? Cool Sky reports the following costing data on its product for its first year of operations. During this first year, the company produced 44,000 units and sold 36,000 units at a price of $140 per unit. Manufacturing costs Direct materials per unit $ 60 Direct labor per unit $ 22 Variable overhead per unit $ 8 Fixed overhead for the year $ 528,000 Selling and administrative costs Variable selling and administrative cost per unit $ 11 Fixed selling and administrative cost per year $ 105,000 Exercise 06-9 Part 1a 1a. Assume the company uses absorption costing. Determine its product cost per unit. The water carrier's principal competitor for the movement of grain, coal, and ores is which mode of transportation? a. pipelines b. Canadian and foreign owned water carriers c. railroads d. motor carriers Identify the like terms.-4a, -3b, 4b, 3 A -4a and 4bB -3b and 3C -3b and 4bD -4a and -3b Which statement correctly describes British rule in India? Question 9 options: The British East India Company established trading posts in India in the 1600s. The British first assumed control of India by fighting a terrible war. The British East India Company only handled company business matters. Electroplating uses electrolysis to coat one metal with another. In a copper-plating bath, copper ions with a charge of 2ee move through the electrolyte from the copper anode to the cathode; the metal object to be plated. If the current through the system is 1.2 A, how many copper ions reach the cathode each second? Luke Anderson is earning $48,000 a year in a city located in the Midwest. He is interviewing for a position in a city with a cost of living 12 percent higher than where he currently lives. What is the minimum salary Luke would need at his new job to maintain the same standard of living? Wat does f(x)=x^2+x-30 solve to? A car rental agency rents 210 cars per day at a rate of 30 dollars per day. For each 1 dollar increase in the daily rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum income, and what is the maximum income