curved surface area of a cone = Trl, where r is the
radius and is the slant height.
The ice cream cone below is made from a piece of wafer.
Work out the area of wafer required to make the ice
cream cone.
Give your answer to 1 d.p.
2 cm
9 cm

Curved Surface Area Of A Cone = Trl, Where R Is Theradius And Is The Slant Height.The Ice Cream Cone

Answers

Answer 1

The area of wafer required to make the ice cream cone 68.75 cm²

What is Area?

The area is the amount of space within the perimeter of a 2D shape. It is measured in square units, such as cm², m², etc.

Given:

r= 2cm, l=9 cm

Surface area,

=πr(l +r)

=3.14*2(9 + 2)

= 6.25*11

=68.75 cm²

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Related Questions

Find an equation for the line that passes through the point P(-5,-3) and is parallel to the line
7x + 4y
10. Use exact values.

Answers

-------------------------------------------------------------------------------------------------------------

Answer:  [tex]\textsf{y = -1.75x - 11.75}[/tex]

-------------------------------------------------------------------------------------------------------------

Given:  [tex]\textsf{Goes through (-5, -3) and parallel to 7x + 4y = 10}[/tex]

Find:  [tex]\textsf{The equation in slope-intercept form}[/tex]

Solution: We need to first solve for y in the equation that was provided so we can determine the slope.  Then we plug in the values into the point-slope form, distribute, simplify, and solve for y to get our final equation.

Subtract 7x from both sides

[tex]\textsf{7x - 7x + 4y = 10 - 7x}[/tex][tex]\textsf{4y = 10 - 7x}[/tex]

Divide both sides by 4

[tex]\textsf{4y/4 = (10 - 7x)/4}[/tex][tex]\textsf{y = (10 - 7x)/4}[/tex][tex]\textsf{y = 10/4 - 7x/4}[/tex][tex]\textsf{y = 2.5 - 1.75x}[/tex]

Plug in the values

[tex]\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}[/tex][tex]\textsf{y - (-3) = -1.75(x - (-5))}[/tex]

Simplify and distribute

[tex]\textsf{y + 3 = -1.75(x + 5)}[/tex][tex]\textsf{y + 3 = (-1.75 * x) + (-1.75 * 5)}[/tex][tex]\textsf{y + 3 = -1.75x - 8.75}[/tex]

Subtract 3 from both sides

[tex]\textsf{y + 3 - 3 = -1.75x - 8.75 - 3}[/tex][tex]\textsf{y = -1.75x - 8.75 - 3}[/tex][tex]\textsf{y = -1.75x - 11.75}[/tex]

Therefore, the final equation in slope-intercept form that follows the information that was provided is y = -1.75x - 11.75

Fill in the blank. In the triangle below, y=? Round your answer to two decimal places.

Answers

Answer:

z= 38°

Step-by-step explanation:

z= 90(from right angle)+52=142

180-142=38°

What amount would u have if u deposited 1800 a year for 30 years at 7% compounded annually

Answers

Answer: $183,731

Step-by-step explanation:

After 30 years, the interest is $183,731

(X+p)(x+q) what part of the trinomial will equal the product of p and q?

Answers

The part of the trinomial that will equal the product of p and q is the constant part

How to determine the part?

The expression is given as:

(x + p)(x + q)

From the expression, p and q are both constants.

When a constant is multiplied to another, the result is a constant

This means that:

pq = constant

Hence, the part of the trinomial that will equal the product of p and q is the constant part

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What is the simplified form of √ 144x36?

Answers

Answer:

12x^18

Step-by-step explanation:

Four students were asked to write an expression which has terms that have a greatest common factor of ab. The
expressions provided by the students are shown below.
Olivia
20ab-14abc
Michelle
16a+3b
Michelle
Naomi
Which student wrote the correct expression?
O Olivia
O Peyton
Naomi
18abc-13abc
Peyton
15abc+ 14ab

Answers

Answer: Peyton

Step-by-step explanation:

Michelle: Greatest common factor is 1

Naomi: Greatest common factor is abc

Olivia: Greatest common factor is 2ab

Peyton: Greatest common factor is ab

Preston is correct -

The Candle Factory is producing a new candle. It has a radius of 3 inches and a height of 5 inches. How much wax is needed to make the candle? Use 3.14 for Pi. Round to the nearest whole cubic inch.

A cylinder with a radius of 3 inches and height of 5 inches.

Recall the formulas S A = 2 pi r squared + 2 pi r h and V = pi r squared h.
141 cubic inches
236 cubic inches
443 cubic inches
565 cubic inches

Answers

Answer:

141 cubic inches

Step-by-step explanation:

The candle can be modeled as a cylinder.

To find how much wax is needed to make the candle, calculate the volume of the cylinder.

[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

r = 3 inh = 5 inπ = 3.14

Substitute the given values into the formula and solve for V:

[tex]\implies \sf V=3.14 \cdot 3^2 \cdot 5[/tex]

[tex]\implies \sf V=3.14 \cdot 9 \cdot 5[/tex]

[tex]\implies \sf V=28.26 \cdot 5[/tex]

[tex]\implies \sf V=141.3\:in^3[/tex]

Therefore, the amount of wax needed to make the candle is 141 cubic inches (nearest whole cubic inch).

g(x)=f(x)-3 which statement best describes the graph of g(x) with the graph of f(x)

Answers

Answer: The graph of g(x) is the graph of f(x) shifted 3 units down.

a dog is moving at a constant speed of 8 m/s. what is the dog’s acceleration

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: Acceleration_{dog} = 0[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

A dog is moving at a constant speed of 8 m/s, that concludes that there's no change in its speed with respect to time.

And Acceleration is define as rate of change in velocity, but since velocity/speed is constant. change in velocity = 0

Henceforth, Acceleration of dog is 0 as well.

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer: Acceleration = 0 ✅

Step-by-step explanation:

Hii, let me help you out! (:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Part 1

Acceleration means "change in speed (which is also known as velocity, V, in physics) per a specific amount of time.

Part 1 is Successfully completed!

                                             

Part 2Our Dog Problem

Now let's focus on finding the acceleration of the dog.

Like I said above, [tex]\sf Acceleration=change\;in\;speed\;per\;a\;specific\;amount\;of\;time[/tex]

Well, we are provided with the information that the dog's speed is constant. This means that it doesn't change. So the dog keeps on moving at a speed of 8 m/s. This means that its speed doesn't change, so the change in speed is 0. And this means that its acceleration is 0.

Voila! There's our answer, cheers! (:

___________________

Hope I helped! Best wishes.

Reach far. Aim high. Dream big.

[tex]\underbrace[/tex]

the price for each ticket is 7.99 one person thinks the total for all eight people will be around 50.00 is this a reasonable estimate. why?

Answers

Answer:

No

Step-by-step explanation:

no because just muiltiplying 7.00 * 8 is 56 not inculuding the 99 cents it is already over 50. The answer is 63.92 so a reasonable estimate would be around $60

From this diagram, select the
pair of lines that must be
parallel if 24 = 23. If there
is no pair of lines, select
"none."

Answers

O is parallel to q

let's take the angle opposite to angle 4 is alpha

angle 4 = angle alpha ( vertically opposite angles)

angle alpha = angle 3 ( as angle 4 = angle 3).

hence o is parallel to q as both the angles are equal

Outside of the United States, many countries use ____ for their accounting standard.
A. the Common Market accounting methods
B. the international agreement on taxes and tariffs
C. the International Financial Reporting Standards
D. generally accepted accounting practices​

Answers

the international financial reporting standards
The answer is C The international financial reporting standards

se the distributive property to remove the parentheses.
-(-3v-4w+1)

Answers

Hii!

[tex]\leadsto\parallel\boldsymbol{Answer.}\parallel\gets[/tex]

_________________________________________________________

3v+4w-1

__________________________________________________________

[tex]\leadsto\parallel\boldsymbol{Explanation.}\parallel\gets[/tex]

We use the distributive property to "distribute" the minus sign.

[tex]\sf -(-3v-4w+1)=-1\cdot(-3v)+(-1)\cdot(-4w)+(-1)\cdot1}[/tex].

Simplify!

[tex]\sf 3v+4w-1}[/tex]. Which is our final answer.

Hope that this helped! Best wishes.

[tex]\textsl{Reach far. Aim high. Dream big.}[/tex]

[tex]\boldsymbol{-Greetings!-}[/tex]

_________________________________________________________

Help me with this question please and thank you!! :)

Answers

Question 1

The complement of set B is all the elements in S but that are not in B, which is [tex]\{2, 4, 5, 9, 10, 11, 12, 13, 14, 17, 19\}[/tex].

We want to find the intersection of set A and the complement of set B, which is the set of all elements that both sets contain.

This is {2, 9, 10, 12}, meaning there are 4 elements.

Question 2

Following a similar logic as the last problem, the complement of set A is [tex]\{1,3,4,5,6,7,11,13,14,15,17,18,19\}[/tex].

Therefore, the desired set is [tex]\{1,3,6,7,15,18\}[/tex], and thus there are 6 elements.

the probability that Luis will pass his test is 0.82. find the probability that he will fail his statistic test

Answers

The probability of failure for Luis will be 0.18.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability of passing is = 0.82

We know that the maximum probability of happening any event is 1 or 100 per cent if the probability of passing of the person is 0.82 then the probability of failure will be calculated as:-

Probability of failing = 1 - probability of passing

Probability of failing = 1 - 0.82

Probability of failing = 0.18

Therefore the probability of failure for Luis will be 0.18.

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Mitch needs to do his laundry. It takes him 75 minutes to do each load
when he washes and dries the load. It takes him 43 less minutes if he
hangs up his laundry to dry. He decides to hang up one load of laundry
to dry.
Mitch writes the equation 75r -43 = 332, where x is the number of loads
of laundry he needs to do in order to determine how long it is going to
take him.
The next step Mitch wrote to solve the equation is shown here: 75r = 375
Which property did he use to get to this step?
A
addition property of equality
B
distributive property
C
subtraction property of equality
D
combining like-terms

Answers

Answer: [A] addition property of equality

Step-by-step explanation:

    Mitch used the addition property of equality because he added 43 to both sides of the equation.

         75r - 43 = 332

         43 + (75r - 43) = (332) + 43

         75r = 375

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Help asap !………………………

Answers

Answer:

c

Step-by-step explanation:

dvdywuwhfuwi eurue wuid

Can anyone Help I have 25 questions, 2hr 40mins remaining,

Answers

Combining the like-terms, the result of the addition of polynomials f(x) and g(x) is given by:

[tex]f(x) + g(x) = 21x^3 + \frac{5}{4}x^{\frac{1}{2}} + 19x^{-\frac{1}{4}} + 8x^{-4}[/tex]

How do we add polynomials?

We add polynomials combining the like-terms, that is, adding terms with the same exponent.

In this problem, the polynomials are:

[tex]f(x) = 3x^{\frac{1}{2}} + 7x^{-\frac{1}{4}} + 8x^{-4}[/tex][tex]g(x) = -\frac{7}{4}x^{\frac{1}{2}} + 12x^{-\frac{1}{4}} - 21x^3[/tex]

Combining the like terms, the addition is given by:

[tex]f(x) + g(x) = \left(3 - \frac{7}{4}\right)x^{\frac{1}{2}} + (7 + 12)x^{-\frac{1}{4}} + 8x^{-4} + 21x^3[/tex]

[tex]f(x) + g(x) = 21x^3 + \frac{5}{4}x^{\frac{1}{2}} + 19x^{-\frac{1}{4}} + 8x^{-4}[/tex]

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A medication states that the odds of having an allergic reaction are 2 in 200. What is that probability states as a percent?

Answers

It would be 1%. If you divide 2/200, you get 0.01. When multiplied by 100, you get 1.

PLEASE HELP WITH THIS PROBLEM!

Answers

Answer: Options 1 and 2

Step-by-step explanation:

To model exponential decay, the base of the exponential has to be less than 1.

Model exponential decay equation are

y = 0.34(0.98)^x

y = 8 (0.28)^x

Model exponential decay equation

Model exponential decay equation has the base value which is less than 1.Exponential decay is the process of reducing amount by consistent percentage rate over a time period. It can be expressed by the equation y=a(1-b)x where y is the final amount, a original amount, b decay factor, and x is the amount of time that has passed.

Option C and D have the base value greater than 1. So it can't be model exponential decay equation.

Hence, the model exponential decay equation are

y = 0.34(0.98)^x

y = 8 (0.28)^x

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Find the domain and range of the following graph
Write your answer as an interval.

Answers

Answer:

Domain: [1, infinity)

Range: All real numbers or (- infinity, + infinity)

Step-by-step explanation:

Hope this helps

i need help please very fast thanks

Answers

What can I help you with

The graph of (in blue) is translated a whole number of units horizontally and vertically to obtain the graph of (in red).

Answers

The blue graph shows a upward translation by 4 units and horizontal translation by 3 units to have the equation h(x) = -1/2(x -3)² + 4

Translation of coordinates and function

The given graph is a quadratic graph. Given the function of the blue parabola expressed as:

f(x) = -1/2x²

The blue graph shows a upward translation by 4 units and horizontal translation by 3 units to have the equation

h(x) = -1/2(x -3)² + 4

Note that the upward translation will be positive while the horizontal shift to the right will be negative

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please help me i am struggling

Answers

The Equation is represented as  [tex]\rm F = \dfrac{9}{5} (K -273.15 ) +32[/tex]

Option B is the answer.

What is an Equation ?

An equation is am mathematical statement formed when an algebraic expression is equated by an equal sign with another algebraic expression or a constant.

A Equation is given in the question

[tex]\rm K = \dfrac{5}{9}(F -32) +273.15[/tex]

where K denotes temperature in Kelvins and F denotes Fahrenheit .

To convert the equation in terms of K it can be rewritten as follows

[tex]\rm K = \dfrac{5}{9}(F -32) +273.15\\\\K -273.15 = \dfrac{5}{9}(F -32) \\\\\dfrac{9}{5} (K -273.15 ) = F - 32\\\\F = \dfrac{9}{5} (K -273.15 ) +32[/tex]

Therefore Option B is the right answer.

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DRaw the graph of f (x) = 1/2 x² -2x where -2 < x < 4​

Answers

Answer:

Graphs Attached Below

Step-by-step explanation:

Hello!

Standard form of a quadratic: [tex]ax^2 + bx + c= 0[/tex]

From our Equation:

a = 1/2b = -2c = 0

There are several values that are needed to drawing a parabola:

y - interceptAxis of Symmetry (AOS)Vertexx - intercepts

Y-intercept

Standard form of a quadratic: [tex]ax^2 + bx + c= 0[/tex]

The y-intercept is the "c" value. Given that our equation has a "c" value of 0, the y -intercept is 0.

Axis of Symmetry

A parabola is always symmetrical vertically. The line in which the fold happens is the Axis of Symmetry.

To calculate the AOS, we use the formula [tex]AOS = \frac{-b}{2a}[/tex], from the values of the equation.

Calculate

[tex]AOS = \frac{-b}{2a}[/tex][tex]AOS = \frac{-(-2)}{2(0.5)}[/tex][tex]AOS = \frac{2}{1}[/tex][tex]AOS = 2[/tex]

The Axis of Symmetry is a vertical line, so the AOS is the line x = 2.

Vertex

The vertex is the highest or lowest point on the graph of a parabola. It resides on the AOS of the graph.

To calculate the vertex, we simply have to find the y-value, given that we have the x-value from the AOS. We can find the y-value by plugging in the AOS for x in the original equation.

Calculate

[tex]f(x) = \frac12x^2 - 2x[/tex][tex]f(x) = \frac12 (2)^2 - 2(2)[/tex][tex]f(x) = 2 - 4[/tex][tex]f(x) = -2[/tex]

The y-value is -2. The vertex is (2, -2).

X-intercepts

The x-intercepts are the points where the graph intersects the x-axis (y = 0).

Solve by Factoring

[tex]f(x) = \frac12 x^2 - 2x[/tex][tex]0 = \frac12x(x - 4)[/tex][tex]x = 0, x = 4[/tex]

The roots are (0,0) and (4,0).

Graph

Now we just draw the y-intercept, vertex, AOS, and the x-intercepts, and draw a curved line between them.

Image Attached

Domain Restrictions

The Domain (x-values) are being restricted to all x-values that are greater than or equal to -2 and less than 4.

That means we remove the parts of the line that don't belong in that domain.

Image Attached

21% of hospital patients stay for less than 1 day. If 1,134 patients in January stay less than 1 day what total of number of patients did the hospital treat in January?

Answers

Fifty-four hundred is the answer

What is the area of triangle ABD?




a 4.5 cm 2

b 3.5 cm 2

c 7 cm 2

d 6 cm 2

Answers

Answer: [tex]4.5 \text{ cm}^{2}[/tex]

Step-by-step explanation:

[tex]A=\frac{1}{2} bh\\\\A=\frac{1}{2}(3)(3)\\\\\boxed{A=4.5 \text{ cm}^{2}}[/tex]

The area of the triangle will be equal to 4.5 square centimeters.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. The space covered by the triangle in the two-dimension is called an area of the triangle.

The area of the triangle ABD will be calculated as:-

Area = [tex]\dfrac{1}{2}[/tex] x Base x height

Area = [tex]\dfrac{1}{2}[/tex] x 3 x 3

Area = 4.5 cm.

Therefore the area of the triangle will be equal to 4.5 square centimeters.

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How much is Bob's net salary for the week? Question 32

Answers

Answer:

A. $152.00

Step-by-step explanation:

I'm 99% sure the net salary is just the 220 (gross salary) minus everything else taken away which is (42 + 7 + 15 + 4) = 68. 220 - 68 = 152 so Bob's net salary would be 152

In your own words, explain the discriminant test. Use the discriminant test to decide whether the equation represents a parabola, ellipse or a hyperbola and explain why you know this is true. x^2 − 4xy + 3x + 25y − 6 = 0

Answers

A discriminant test is one that tells whether a formula has one, two or no solutions.

The equation represents a parabola because the discriminant of a parabola has either x or y squared and not the both.

What is a discriminant test?

A discriminant test is a test that tells whether there are one, two or no solutions for a formula.

The discriminant is the part of the quadratic formula underneath the square root symbol: b²-4ac.

The discriminant of a quadratic equation is given as ax2 + bx + c = 0

A discriminant is said to be a parabola either x or y is squared and not both unlike that of an eclipse and a hyperbola.

With the given equation,  x^2 − 4xy + 3x + 25y − 6 = 0, only x is squared and not both x and y.

Thus, the equation represents a parabola because the discriminant of a parabola has either x or y squared and not the both.

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if the relationships below are given in the form(input, output) which paring always describes a function

Answers

The function among the given option is height of a building in feet, height of the building in inches , Option B is the correct answer.

What is a Function ?

A function is a law that relates a dependent and an independent variable.

The options mentioned below needs to be studied to determine which forms a function.

Option A , C and D doesn't really form a function ,

For two variables need to be a function then they have to be dependant on each other and have only one output for a given input.

height of a building in feet, height of the building in inches

Height of building in feet = (height of building in inches/12)

so this is a function

Therefore Option B is the right answer.

The missing options are

If the relationships below are given in the form (input, output), which pairing always describes a function?

A) (number of doors in a car, number of cup holders in the car)

B) (height of a building in feet, height of the building in inches)

C) (beverage charge on a bill, total meal charge on the bill)

D) (distance from home during a trip, time elapsed during the trip)

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for a monopolist: a. price equals average total cost. b. price is above marginal revenue. c. marginal revenue equals zero. d. marginal cost equals zero. e. average total cost equals marginal cost. Question 3 of 10Mark all the statements that are true. what is the output voltage of a transformer if the input is 240volts, and the number of turns on the primary coil is 1200 and on the secondary coil is 200. Which expression is represented by the diagram?-6 - (-1)-6 - 1-5 - (-1)-5 -1 Which of the following constitutes violence?A.physical harmB.mental harmC.emotional harmD.all of the above Going to Mumbai by train to attend themarriage offriendtraffic jamgot stuck in areached the railway stationMate.boarded a wrong train-realizedafter two hours which statement best descrbes the role of the majority leaders in congress why is the nitrogen important to humans It's very urgent plss answer When a patient with hypertension takes a particular type of blood pressure medication, the effects on the systolic pressure, S(t), can be measured by the following piecewise defined function: S of t is equal to the piecewise function of 140 minus 6 times t if 0 is less than or equal to t is less than or equal to 4 and 116 if 4 is less than t is less than 8 and 96 plus 8 times t if 8 is less than or equal to t is less than or equal to 12 where t is the time, in hours, since taking the medication. Based on the graph of the piecewise function, if the patient takes the blood pressure medication at 8 a.m., in which interval will their systolic pressure be lowest? Sylvia bought 4 bananas for 50 cents each and 1 apple for 80 cents. Write a numerical expression to represent this situation and then find the total cost. The nth term of a sequence is -2n-4. Work out the 50th term of the sequence How did president Truman advance civil rights?A. He abolished segregation in the United States armed forces. B. He appointed minorities to justice department positions. C. He fought to end discrimination in the workplace. D. He desegregated all school in the United States. Which quotation best supports the authors claim and purpose? ""sugar is different from honey."" ""it offers a stronger sweet flavor."" ""europeans bought a product made thousands of miles away."" ""a perfect taste made possible by the most brutal labor."" (HELP SPANISH 3) in Spanish por and para area. each used for a specific purpose for different situationsb. used interchangeablyc. never used together in the same utteranced. always used together in the same utterance Which of the term structure theories claims that investors are limited to certain maturity ranges due to legal restrictions and personal preferences?. The table shows ordered pairs of the function y=8-2x. What is the value of y when x = 8?X-3-114810y141060?-12 Pls answer thissssssss Find the measure of line segment DE Which of the following describes the behavior of the graph shown over the interval (-2,2)?