The lateral surface area of the wrapper for an ice cream cone is 47.1 cm squared.If the lateral height of the ice cream cone is 6cm,what would be the radius of the ice cream cone?

Answers

Answer 1

To determine the radius of the cone, we make use of the lateral surface area of the cone. The lateral surface of an object is the area of all the sides of a certain object. For a cone, it is the product of pi, the radius and the slant height (lateral height). We calculate as follows:
Lateral Surface Area = πrh
47.1 = πr(6)
r = 2.5 cm

Related Questions

Matt reasoned that he can write 9/1000 as 0.9. Is he correct?

Answers

The answer is no, he's not correct.

You're looking at 9/1000, which means you move the (invisible) decimal point after 9 three places to the left (because you're dividing and there are 3 zeros after the 1 in 1000). This would give you 0.009.

No he is not correct because 9/1000 Is 0.009. That is a different value than 0.9. 0.9 is 9/10.

P(n) models the fundraiser's profit (in dollars) if n tickets are sold. A negative profit means the expenses exceeded the income from tickets.

P(n) = 70n-1500

what is the price of a single ticket

Answers

P(n) = 70n - 1500....let me break this down for you

profit = revenue - expenses
so the revenue, what is made from selling tickets.....70n....where n represents the number of tickets....the 70 represents the cost of each ticket.

the 1500 is the expenses. So for them to make a profit, they would have to sell more then $ 1500 worth of tickets.

the price of a single ticket is $ 70 <==

The price of a single ticket is given by the expression [tex]$ \frac{70n - 1500}{n} $,[/tex] where n represents the number of tickets sold.

To find the price of a single ticket, we need to understand that the profit P(n) represents the income from ticket sales.

In the given equation [tex]$ P(n) = 70n - 1500 $[/tex], n represents the number of tickets sold, and P(n) represents the profit from selling n tickets.

If we divide the total profit P(n) by the number of tickets n, we can find the price of a single ticket.

So, the price of a single ticket is given by:

[tex]\[ \text{Price of a single ticket} = \frac{P(n)}{n} \][/tex]

Substituting [tex]$ P(n) = 70n - 1500 $[/tex], we get:

[tex]\[ \text{Price of a single ticket} = \frac{70n - 1500}{n} \][/tex]

Now, the price of a single ticket is dependent on the number of tickets sold, so we cannot determine a specific price without knowing the value of n. However, we can say that as the number of tickets sold increases, the price per ticket decreases due to the fixed costs (expressed by the constant term -1500) being spread out over a larger number of tickets.

Evaluate the expression. Drag the answer into the box to match the expression. 27⋅((33)−1) 27 3 1 1/9
27
3
1
1/9

Answers

The answer is 1.

3^3 = 27
27^-1 = 1/27
1/27 x 27 = 1

I took this test and got this question right.

Answer:

Step-by-step explanation:

answer is 1

Through 3,1 slope -1

Answers

y-1=-1(x-3)

y-1=-x+3
y=-x+4

Bill can mow his mother's lawn in 45 minutes. his brother jim can mow it in 65 minutes. how long will it take them to do it together, if each has his own lawnmower? (record your answer in minutes rounded to one decimal place.

Answers

Sixty five plus forty five is one hundred ten
1 hour and 50 minutes

Express 9 - y2 as the product of two binomial factors

Answers

Binomial factors are where two factors are being added. For a²-b², it can be written as (a-b)*(a+b). Writing it out, we know that 9=3², so we can make it
(3-y)(3+y)

[tex]9 - y^2[/tex]

[tex]3^2-y^2[/tex]

[tex](3+y)(3-y) [/tex]

PLEASE HELP ME!!!!!!!!!! 57-4t >(their is an egual sign under the less then sign)13
A. t<=-15
B. t<=15
C. t<=11
D. t=>-11

Answers

57 - 4t > = 13.....subtract 57 from both sides
-4t > = 13 - 57
-4t > = - 44 ...divide both sides by -4, and change the inequality sign
t < = -44 / -4
t < = 11

u solve inequalities much like u do equations except for one very important rule. In an inequality, if u divide/multiply by a negative number, u have to change the inequality sign.

Work: 57-4t>/13
Solve for t
-57 both sides
-4t>/-44
÷-4 both sides
Flip sign since you are dividing by a negative
T < / 11
Answer: t < / 11
Check your work: 10 is less than 11 plug in 10
57-4 (10)>/13
57-40>/13
17>/13
The answer is correct

After working 80 hours at his job, Tyler earned a total of $1100. How much does Tyler earn per hour?

Answers

1100/80=13.75,the answer is 13.75.So Tyler earn 13.75

so this is just a simple division you take 1100 and you divide it bye 80
1100/80=13.75
there ya have it Tyler makes $13.75 per hour

108 centimeters 1.08 meters equation and exponent

Answers

m=cm x10^2 cm=mx10^-2

To convert 108 centimeters to meters, divide by 100, since 100 centimeters equals 1 meter. Thus, 108 cm equals 1.08 meters, and the exponential form of 1.08 is 1.08 x 10⁰.

To convert 108 centimeters to meters, we use the fact that 100 centimeters is equal to 1 meter. If we have 108 centimeters and we want to express that in meters, we divide 108 by 100, since there are 100 centimeters in a meter.

Thus, 108 centimeters is equivalent to 1.08 meters. When we write 1.08 as an exponent, we express it as 1.08 imes 100, because any number to the power of 0 is 1, and thus the exponent does not change the value of 1.08.

Which improper fraction is equal to the mixed number 4 7/9 ?

Answers

43/9 You first multiply the 4 times 9 to get 36 then you add 7 to get 43.

An improper fraction is when the numerator is greater than the denominator.

4 7/9 = (9*4 + 7)/9 = 43/9. Then

4 7/9 = 43/9

__________ will produce an irrational answer when added to , because __________.

Answers

Is there any options for this question?

The endpoints of line segment RS are R(-2,-1), and S (2,3). Find the coordinates of the midpoint of line segment RS.

Answers

midpoint coordinates are ( - 2 + 2) / 2 , (-1+3) / 2

= (0,1) Answer

All birds have wings. A bat has wings, so it is a bird. What type of reasoning is this? inductive
deductive

Answers

I think its Deductive xx

The sum of three consecutive even integers is 72. Let x represent the first integer, x + 2 represent the second integer, and x + 4 represent the third integer.

Which equation can be used to find the first integer?

3x + 72 = 2x + 6

2x + 64 = 72

3x = 2x + 6

3x + 6 = 72

Answers

3x+6=72 is the right one

The equation 3 x + 6 = 72 be used to find the first integer.

Option 4 is true.

Here,

The sum of three consecutive even integers is 72.

Let x represent the first integer, x + 2 represent the second integer, and x + 4 represent the third integer.

We have to find equation which can be used to find the first integer.

What is Integers?

An integer is a whole number (not a fractional number) that can be positive, negative, or zero.

Now,

The sum of three consecutive even integers is 72.

So,

x + ( x + 2 ) + ( x+ 4 ) = 72

x + x + 2 + x+ 4 = 72

3x + 6 = 72

Hence, The equation 3 x + 6 = 72 be used to find the first integer.

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Choose true or false. to convert 5 square meters to square yards, multiply 5 by 1.196.
a. True
b. False

Answers

The answer to your question is true, multiply 5 by 1.196 to convert square meters into square yards

What is 3/2 on a number line

Answers

<----1---•---2-------3-------4--------5---> = 1 1/2 as a mixed number

The image of number 3/2 is shown in number line is shown in figure.

We have to given that,

Number on a number line,

⇒ 3/2

Now, We can simplify as,

⇒ 3/2

⇒ 1.5

Therefore, A number 1.5 shown in figure.

So, The image of number 3/2 is shown in number line is shown in figure.

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Solve 5v2+25=115 , where v is a real number

Answers

5v^2 + 25 = 115
5v^2 = 115 - 25
5v^2 = 90
v^2 = 90/5
v^2 = 18...take the square root of both sides eliminating the ^2
v = (+-) sqrt 18

v = 4.24 or v = -4.24

Can be + or - , as V will be squared. When any -ve number is squared, it will become positive.

if a number is a natural number then it is also a whole number

Answers

Hey there!

Often times, natural and whole numbers mean the same thing. The only difference is that, sometimes, zero is considered a whole number and not a natural number. However, even if zero isn't a natural number, all natural numbers are still considered whole numbers. A whole number is any number that doesn't have a remainder, fraction, or decimal, such as 242, 0, or 14, etc.

Your answer is true.

Hope this helped you out! :-)

Evaluate each expression. (1 + 3 + 2) / -2

Answers

So first do the equation in the parenthesis.

1 + 3 + 2 = 6

So the new equation is 6 / -2

Now 6 / -2 is equal to -3.

So your answer is -3.

Leslie needs to roll an 8 with 2 dice to win a game. how many possible outcomes are there for her to win?

Answers

4+4
2+6
3+5
3 if im not mistaken

Answer: 5

Step-by-step explanation:

Given : Leslie needs to roll an 8 with 2 dice to win a game.

Number of outcomes , when we roll a die {1 ,2,3,4,5,6} =6

When we roll two dice the total number of outcomes are:

[tex]6\times6=36[/tex]

The possible outcomes when we roll two dice :-

(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)

(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)

(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

The favorable outcomes to get sum as 8 :-

{(2,6), (6,2), (3,5), (5,3), (4,4)}

Hence, the number of possible outcomes are there for her to win = 5

Explain how you can use the inscribed angle theorem to justify its second corollary, that an angle inscribed in a semicircle is a right angle.

Answers

First, remember that an iscribed angle is an angle, call it α, made from three points on the circumference of the circle.

The inscribed angle theorem states that the inscribed angle (α) is half of the central angle (2α).

Inscribe a triangle in a semicircle, and you will see that you will have made up the central angle 180°. So the , by the inscribed angle theorem the inscribed angle is half of 180° which is 180°/2 = 90°.

So, always the inscribed angle in a semicircles is 90° which is what a right angle is.

Answer:

Sample Response: A circle measures 360 degrees, so a semicircle measures 180 degrees. By using the inscribed angle theorem, the measure of the inscribed angle would be half of 180 degrees, or 90 degrees, which is a right angle.

Step-by-step explanation:

THIS IS CORRECT I GOT IT RIGHT

find the values of x and y

Answers

Ok so 80 and 4x-y form a straight angle.
80+(4x-y)=180
4x-y=100

(4x-y) and (x+2y+10) also form a straight angle, but we know that 4x-y=100
100+x+2y+10=180
x+2y+110=180
x+2y=70

Now we have a system of equation
4x-y=100
x+2y=70

Solve the first equation for y
-y=-4x+100
y=4x-100

Substitute y
x+2(4x-100)=70
x+8x-200=70
9x=270
x=30

Now plug in the known x value
30+2y=70
2y=40
y=20

Final answer: x=30, y=20

Answer:

The values of [tex]x=30^{\circ}[/tex] and [tex]y=20^{\circ}[/tex].

Step-by-step explanation:

A Linear pair is a pair of adjacent angles formed when two lines intersect.

In the given figure, [tex]80^{\circ}[/tex] and [tex]4x-y[/tex] , [tex]4x-y[/tex] and [tex]x+2y+10^{\circ}[/tex] form a linear pair.

By linear pairs theorem, we have

[tex]80^{\circ}+4x-y=180^{\circ}[/tex]

[tex]4x-y+x+2y+10^{\circ}=180^{\circ}[/tex]

On solving we get,

[tex]4x-y=100^{\circ}[/tex] ....(1)

[tex]5x+y=170^{\circ}[/tex] .....(2)

Now, to solve equation (1) and (2) by simultaneously; we get [tex]x=30^{\circ}[/tex]

putting the value of x in equation 1 we get,

[tex]4x-y=100^{\circ}[/tex]

[tex]4\cdot 30^{\circ}-y=100^{\circ}[/tex]

[tex]120^{\circ}-y=100^{\circ}[/tex]

On simplify we have, [tex]y=20^{\circ}[/tex]

Therefore, the values of x and y are: [tex]30^{\circ}[/tex] and [tex]20^{\circ}[/tex]

Membership at the Healthy You Gym is a $40 initial fee and $5 a visit. If Snjaya's billl was $105, how many times did he visited the gym?

Answers

40+5x=105
-40 -40
5x=65
5x÷5=x
65÷5=13
×=13
13 visits

The gcf of 25 and 12 is 1.number with 1 as the gcf are called relatively prime.find another pair of numbers whose gcf is 1

Answers

Super easy. Pairs that have no common multiples. 3 and 7 , 5 and 16 , 31 and 2

The GCF of 25 and 12 is 1, which means they are relatively prime. Another example of a pair of relatively prime numbers is 8 and 15, as their only common divisor is 1.

The greatest common factor (GCF) of 25 and 12 is 1. Numbers that have a GCF of 1 are called relatively prime. Another pair of numbers whose GCF is 1 could be 8 and 15. To verify, we look for any common divisors. The divisors of 8 are 1, 2, 4, and 8 while the divisors of 15 are 1, 3, 5, and 15. The only common divisor is 1, which confirms they are relatively prime.

A diver swims 5.875 feet up to the surface of the water. Which number represents the diver’s position in relation to the surface before swimming to the top?

Answers

Final answer:

In relation to the surface, before swimming up, the diver was -5.875 feet under the water. The negative sign implies that the diver was beneath the surface of the water.

Explanation:

The diver's position in relation to the surface before swimming to the top is represented by a negative number because swimming upwards implies moving in a positive direction. In this case, the diver was -5.875 feet from the surface before they started swimming up. This negative sign indicates that the diver was beneath the surface of the water.

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when ms. morley was three times as old as jennie, they were seven years younger than they are now. now Ms morkie is twice as old as jennie. how old are they?
Show your work

Answers

They are now 14 and 28 because 14 minus 7 is 7 and 28 minus 7 is 21.... 7 times 3 is 21 and 14 times 2 is 28

When you say ms.morkie, do you mean ms.morley? or are they 2 different people?

Find the value of x for which p is parallel to q, if m∠1 = (9x) and m∠3 = 117 .The diagram is not to scale.
a. 108
b. 13
c. 117
d. 126

Answers

Oh I see sorry . My bad thinking!

m< 1 = m<3 ( corresponding angles) so

9x = 117
x = 117 / 9 = 13

x = 13 Answer

A fair coin is tossed 10 times. what is the probability of (a) five heads; (b) at least five heads?

Answers

The answer is b to this question

Answer:

Are these all of the options to pick from for this question? If so, then your answer would be A.) five heads.

Explanation:

PLATO

Which is the line shown in the figure?

Answers

Isn't it line XZ because those are the points on the line.

line XZ is shown in the photo

whatt are some inportant rules to dividing and multipling positives and negitives.

Answers

Positive × Positive = Positive
3 × 2 = 6
m × n = mn

Positive × Negative = Negative
8 × -4 = -32
m × -n = -mn

Negative × Negative = Positive
-5 × -4 = 20
-m × -n = mn
(-x) × (-x) = x²

The same rules apply for division as multiplication.

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