Mathematics High School

The base of a soup can has an area of 9π in
2
and a height of 10
in. Find the area for the label needed to wrap around the can with
no overlaps.

Answers

Answer 1

soup can is in the shape of cylinder

given, base area = 9 pi

base area = area of circle = pi * r^2 = 9 * pi

r = 3

total surface area of cylinder = 2 *pi*r(h+r)

= 2*3(10+3) pi=  78 pi

area for the label needed to wrap around the can with

no overlaps 78 pi inches^2


Related Questions

Find the Value of X. If your answer is not an integer, express it in simplest radical form.

Answers

Use the formula a^2 + b^2 = c^2
Side c is the hypotenuse (longest side). So for question 5 it’s 14^2 + 16^2.

(0.4k3 – 2.5k) – (2.4k3 + 3k2 – 1.2k) =
–2.8k3 – 3k2 – 3.7k
–2.8k3 + 3k2 – 1.3k
–2k3 – 3k2 – 1.3k
–2k3 + 3k2 – 3.7k

Answers

its –2k3 – 3k2 – 1.3k that's what it is for sure
ANSWER
The correct answer is


[tex]- 2{k}^{3} - 3 {k}^{2} - 1.3k[/tex]


EXPLANATION

The given expression is
[tex](0.4 {k}^{3} - 2.5k) - (2.4 {k}^{3} + 3 {k}^{2} - 1.2k)[/tex]

We expand the brackets to obtain,


[tex]0.4 {k}^{3} - 2.5k- 2.4 {k}^{3} - 3 {k}^{2} + 1.2k[/tex]

We now group like terms to obtain,

[tex]0.4 {k}^{3} - 2.4 {k}^{3} - 3 {k}^{2} + 1.2k- 2.5k[/tex]

We simplify further to get,


[tex]- 2.0 {k}^{3} - 3 {k}^{2} - 1.3k[/tex]

This is the same as,

[tex]- 2{k}^{3} - 3 {k}^{2} - 1.3k[/tex]


Therefore the correct answer is option C.

Please help me thank you.

Answers

The relevant formula for the area of the triangle is
.. A = (1/2)ab*sin(C)
.. = (1/2)*(2.75 mi)*(1.32 mi)*sin(35°)
.. ≈ 1.04 mi^2

The 4th selection is appropriate.

F(x)=−2x3+4x2+3x−3 find the average slope of this function on the interval (26). by the mean value theorem, we know there exists a c in the open interval (26) such that f(c) is equal to this mean slope. find the value of c in the interval which works

Answers

f(×)=-2×3+4×2+3×-3
4-2=2×3=6+4=10×2=20+3=23×3=69-3=66
c

HELP ME PLEASE MY LAST DAY TO TURN THIS IN! MARKING BRAINLIEST
Solving Systems of Equations by Elimination

3) 7x + 3y= 22 4y= 20

4) -2x + y= 10 4x - y= -14

Answers

Answer:

3) [tex]x=1\\ y=5[/tex]

4) [tex]x=-2\\ y=6[/tex]

Step-by-step explanation:

3) For this system of equation you already has one variable in the second equation. Therefore, you only need to solve for [tex]y[/tex] in the second one and substitute its value into the first equation to calculate [tex]x[/tex]:

[tex]\left \{ {{7x + 3y= 22} \atop {4y=20}} \right. \\[/tex]

[tex]y=\frac{20}{4} \\ y=5[/tex]

[tex]7x + 3(5)= 22\\ 7x=7\\x=1[/tex]

4) You must add both equations to cancel the variable [tex]y[/tex] and solve for [tex]x[/tex]. Then, susbstiute the value of this variable into one of the original equations to calculate [tex]y[/tex]:

[tex]\left \{ {{-2x+y=10} \atop {4x-y=-14}} \right.[/tex]

[tex]2x=-4\\ x=-2[/tex]

[tex]-2(-2)+y=10\\ y=6[/tex]


Naomi needs 2 cups of chopped apples for a fruit salad she is making. she only has a one-fourth cup measuring cup. how many times will naomi need to fill the measuring cup to get 2 cups of apples

Answers

Naomi will need to do this 8 times to get 2 cups of apples
1/4*8=2
She will need to fill it 8 times because 1/4 * 8 = 2. 

What does it mean to say that the confidence interval methods of this section are robust against departures from​ normality?

Answers

The confidence interval methods for the mean are robust against departures from​ normality, meaning they work well with distributions that​ aren't normal, provided that departures from normality are not too extreme.

Write an equation of a line that goes through the point (2,2) and has a y-intercept of 6

Answers

so the line goes through 2,2, and the y-intercept, well, a y-intercept is when the graph touches or "intercepts" the y-axis, and when that happens, x = 0, so the point is x = 0, y = 6, or 0,6, therefore

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ &&(~ 2 &,& 2~) &&(~ 0 &,& 6~) \end{array} \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-2}{0-2}\implies \cfrac{4}{-2}\implies -2 \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-2=-2(x-2) \\\\\\ y-2=-2x+4\implies y=-2x+6[/tex]

PLEASE HELP ME ON THIS!!!!!!!!!!

~BRAINLIEST AVAILABLE
THX

Answers

f(n)=6n+12
Hope this helps!
We can see that this table has a slope of 6. If you remember, the slope-intercept form is y = mx + b, where m is the slope. If we plug that in we have:
[tex]f(n) = 6n+b[/tex]

b has to be a number that satisfies every value. If we plug in 1 for n, then right now we will be left with:
[tex]18 = 6(1) + b[/tex]

Solving for b, we get:
[tex]b = 12[/tex]

We have our final explicit function in terms of n (your answer):
[tex]f(n) = 6n + 12[/tex]

Or, you can write this as:
[tex]f(n) = 6(n+2)[/tex]

A large suburb currently uses square signs to notify drivers of nearby bike lanes. In order to increase the visibility of these signs, the mayor wants to increase their dimensions. The new signs will be 12 inches longer and 8 inches taller than the current signs. Suppose x represents the side measure of the current signs, in inches. Determine the equation that represents the area, y, in square inches, of the new signs.

Answers

The current sign is squared shape so its length and width are equal. The side measures of current sign are x inches.

Length of new sign will be 12 inches longer. So the length of new sign = (x+12) inches

Width of new sign will be 8 inches longer. So the width of new sign= (x+8) inches

Since the length and width of new sign are different, its shape will be rectangular. The area of a rectangle is the product of its length and width.

So the area of new shape will be:

y = (x+12)(x+8) square inches

Answer:

[tex]AREA = x^{2} +20\cdot x + 96[/tex] square inches


Step-by-step explanation:

If dimension of signs are increased then new sides will be x+8 and x+12

It will change fom square into a rectangle So, its area will be given by :

AREA (y) = (x+8)(x+12)

[tex]AREA = x^{2} +20\cdot x + 96[/tex] square inches



GREETINGS FELLOW EARTHLINGS I AWAIT YOUR ASSISTANCE ON THIS QUESTION

Answers

4 feet is equal to 48 inches. 
48 is 2 times 24. 
So, the ratio of the long side to the short side would be 
B, 2:1. Hope this helps!


Trevor pays $125 in fees each semester plus $650 per college course.
Last semester Trevor paid $2,725.
Which function represents Trevor’s bill?

A.f(x) = 125x + 650
B.f(x) = 650x + 125
C.f(x) = 775x
D.f(x) = 525x

Answers

The correct answer is Choice B.

This is an example of an equation in slope-intercept form, y = mx + b.

The slope, m, is the amount of increase each course, or 650.
The y-intercept, b, is the starting fees that are paid.

Put them together and you have: y = 650x + 125 of Choice B.

Please help rewarding 30 points to brainliest

Answers

To find the value of r you'll have to set up a proportion of the corresponding sides.

[tex] \frac{AC}{BC} = \frac{DF}{EF} [/tex]
[tex] \frac{12}{6} = \frac{r}{8} [/tex]
6r = 96
r = 16

The value of r is 16

Jorani flips two standard American quarters. How many ways can she get at least one head?
Hint: Let 2004-06-03-01-00_files/i0250000.jpg and let 2004-06-03-01-00_files/i0250001.jpg,

Answers

When flipping two standard American quarters, there are four independent possible outcomes: -Tails, tails -Heads, heads -Heads, tails -Tails, heads Looking, then, at these four outcomes, there are three of those that include at least one head. As such, the answer to this question is three possibly different ways for her to achieve the desired outcome.
The answer is 3 I just took the test.

To determine whether voters would be willing to vote for a tax increase to improve the city's parks, the park commission surveys 500 park users. Why is this sample likely to be biased?



A. Park users are more likely to be willing to pay more to improve parks.

B. Park users are too busy to be bothered with surveys.

C. There are not enough people in the sample.

D. The entire population of the city was not surveyed.

Answers

Answer:  The answer is A

Step-by-step explanation: Think about the question and what it is asking about, raising taxes to improve the city's parks, now think about who benefits from the parks. Park users right? Okay, but since tax increase will be put on everyone living in the city, some do not use the park. Is it fair to base the survey question just to park users? No, it's biased to base it on park users only. Of course the park users will be okay improving the parks they use. An unbiased survey would ask a sample of citizens in the city whether it's a good idea to raise taxes to improve the city parks. It's not just the park user whose taxes will be raised for the improvements.

Answer:

The answer A park user are most likely to be willing to pay more to improve parks.

Step-by-step explanation:

I did the test and it was right hope this helps

If m and n are real numbers such that 4m + n = 10, then which of the following expressions represents m?

Answers

[tex] 4m + n = 10 [/tex]

[tex] 4m = -n + 10 [/tex]

[tex] m = \dfrac{-n + 10}{4} [/tex]

or

[tex] m = \dfrac{10 - n}{4} [/tex]

Mia wants to find the surface area of this prism. which unit of measurement should mia use?
a. in.
b. in squared
c. in cubed

Answers

When you are finding a measurement of area, you will use square units - Choice B.

The reason is because the measurement of area is how much space a flat surface covers. You create little squares of the units to measure this space. Area is a two dimensional measurement.

Which of the following equations is an example of inverse variation between variables x and y ?

A.) y=15x
B.) y= x-15
C.) y=15/x
D.) y=x/15

Help Please! Will give medal and fan!,

Answers

When the representation of the variables in an equation is similar and has same constants, it is called an inverse equation. An example of inverse equation is y = k/x. This can also be represented as x = k/y. So from the options C is the correct option. y = 15/x which is also x = 15/y

Given cos x =12/13 And sin x = 5/13
what is ratio for tan x? (Explain how you got your answer)

Answers

[tex]tan = \frac{sin}{cos} [/tex]
tan = (5/13)/(12/13) = 5/13 * 13/12 = 5/12

SOMEONE HELP ASAPPPPPPP!!! PLEASE
1. A person at ground level measures the angle of elevation to the top of a building to be 74°. If at this point the person is 34 feet away from the base of the building, then how tall is the building? Please round to the tenths place. Please show work/steps and provide units with your answer.

2. In right triangle PQR, P and Q are complementary angles. The value of sin Q is 9/ . What is the value of cos P?
A.9/41
B.41/9
C.40/41
D/41/40

Answers

(1) See below for a diagram. Basically, the distance on the ground from the person to the building (34 ft) is adjacent to the angle of elevation (74 degrees) and the height of the building (labeled h in the diagram) is the side opposite the angle. Since we are dealing with opposite and adjacent we use the tangent of the angle and tan = opp/adj

Specifically, [tex]tan74= \frac{h}{34} [/tex]
[tex]h=(34)(tan74)[/tex]<span class="_wysihtml5-temp-placeholder"></span>
[tex]h=118.6[/tex] feet.

Please be sure your calculator is set to degrees (not radians) when you do this problem.

(2) Here since P & Q are complimentary it means that their sum is 90 degrees. Since this is a right triangle that means that the remaining angle (R) must be the right angle. See below for a diagram.

sin = opp/hyp. As the sin Q =  9/41 this means that 9 is the length of the side opposite Q (the side PR) and 41 is the length of the hypotenuse. This makes the remaining side (QR) 40 in length.

cos = adj/hyp. If we focus on angle P the side adjacent (next to) is 9 and the hypotenuse is 41. Thus the cos of P = 9/41.

You could have also realized that if P & Q are complimentary the sin P = cos Q and the cos P = sin Q. We were not asked about tangent but it is also the case that tan P = cot Q and cot P = tan Q.

1. Given the equation (x – 3)2 – 32 = 17 a)

a) Solve the equation using the square root property to find the solutions. Show your work and round your final answer to the nearest tenth.

b) Explain why the given equation has two solutions.

Answers

we know that

The square root property is one method that is used to find the solutions to a quadratic equation.  This method involves taking the square roots of both sides of the equation.  
(x – 3)² – 32 = 17-------> (x – 3)² = 17+32-----------> (x – 3)² = 49
(x – 3)² = 7²--------> will take the square root of each side
so
√(x – 3)²=(+-)√7²------> notice the use of the  sign (+-), this will give us both a positive and  a negative root

then

x-3=7--------> x=10
x-3=-7-------> x=-4

the answer Part a) is
x=10
x=-4

Part b) Explain why the given equation has two solutions.

the answer part b) is
Because exist the possibility of two roots for every square root, one positive and one negative

One side of a right triangle is 2 cm shorter than the hypotenuse and 7 cm longer than the third side. find the lengths of the sides of the triangle.

Answers

The right angles triangle has three sides including the hypotenuse which is opposite to the right angle.
If the hypotenuse - H
Then one side is - H - 2
Third side is 7 cm shorter then H-2
Therefore it’s H -2-7 = H -9
According to Pythagoras theorem
Square of hypotenuse = sum of the squares of the other 2 sides
H² = (H-9)² + (H-2)²
H² = H² -18H + 81 + H² -4H + 4
0 =H² -22H +85
This is a quadratic equation
0 = H² - 17H -5H +85
0 = H (H - 17) -5(H-17)
(H-17) (H-5) =0
H -17=0 or H-5=0
H could be 17 cm or 5 cm
If H =5 cm then
Side 1 -H-2 = 3 cm
And side 2 - H-9 = -4 cm
Since lengths cannot be negative values
H isn’t 5 cm
Therefore H =17 cm
1 side is H-2 = 15 cm
2nd side H -9 = 8 cm
Three sides are 17 cm, 15 cm and 8 cm

The sides will be 17, 15, and 8.

Triangle

It is a polygon of three sides and the sum of the internal angle of a triangle is 180 degrees.

Given

One side of a right triangle is 2 cm shorter than the hypotenuse

And 7 cm longer than the third side.

To find

The lengths of the sides of the triangle.

How do find the lengths of the sides of the triangle?

Let the hypotenuse is H

Then the One side of a right triangle is 2 cm shorter than the hypotenuse which means H - 2

And another side is 7 cm longer than the third side which means H -2 -7 that becomes H - 9

Then according to Pythagoras theorem

[tex]\rm H^{2} = P^{2} +B^{2}[/tex]

Then

[tex]\begin{aligned} \rm H^{2} &= (H-2)^{2} +(H-9)^{2}\\\rm H^{2} &= H^{2} -4H + 4+ H^{2} -18H +81\\ H^{2} -22H + 85 &= 0 \\(H-17)(H-5) &=0\\\end{aligned}[/tex]

Hence the value of H is 17 and 5.

5 is neglected because H - 9 is negative.

So the sides will be 17, 15, and 8.

More about the triangle link is given below.

https://brainly.com/question/25813512

URGENT PLEASE HELP WILL GIVE BRAINLIEST!!!
This figure shows circle A with inscribed ∠RSQ .

m∠RSQ=24°



What is the measure of RSQ?

Enter your answer in the box.

Answers

I assume you are looking for arc RSQ, since you already now the angle RSQ.
Arc RSQ is 312 degrees.

Since you know angle RSQ, the arc that it creates is twice the angle.
24 x 2 = 48

Arc RSQ is the entire circle (360 degrees) except for that 48 degrees.
360 - 48 = 312

Answer:

312

Step-by-step explanation:

The other answer has a great explanation. I am just confirming this answer to be correct! :)

Combine and simplify these radicals.

radical 8 * 20

i will make brainliest

Answers

Simplifying the expression we proceed as follows:
√8×20
=√8×√20
=√(2×4)×√(4×5)
=2√2×2√5
=4√10

Answer: 4√10

Answer:

[tex]\sqrt{8 *20}[/tex] = 4 [tex]\sqrt{10}[/tex].

Step-by-step explanation:

Given  : [tex]\sqrt{8 *20}[/tex].

To find : Combine and simplify these radicals.

Solution : We have given that  [tex]\sqrt{8 *20}[/tex].

We can write 8 as 4 *2  and 20 as 4 *5

Then ,

[tex]\sqrt{8 *20}[/tex] =  [tex]\sqrt{(4 *2 )*(4 * 5)}[/tex].

[tex]\sqrt{8 *20}[/tex] = [tex]\sqrt{4 *2}\ *\sqrt{4 *5}[/tex].

[tex]\sqrt{8 *20}[/tex] = 2 [tex]\sqrt{2}\ *2\sqrt{5}[/tex].

[tex]\sqrt{8 *20}[/tex] = 4 [tex]\sqrt{2 *5}[/tex].

[tex]\sqrt{8 *20}[/tex] = 4 [tex]\sqrt{10}[/tex].

Therefore, [tex]\sqrt{8 *20}[/tex] = 4 [tex]\sqrt{10}[/tex].

Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. find the probability of exactly five girls in ten births.

Answers

Final answer:

This answer explains how to calculate the probability of having exactly five girls in ten births using the binomial probability formula.

Explanation:

Probability of Exactly Five Girls in Ten Births:

Calculate the probability of having a girl in a single birth: P(girl) = 0.5Use the binomial probability formula to find the probability of having exactly five girls in ten births: P(5 girls) = (10 choose 5) * (0.5)^5 * (0.5)^5Substitute the values and calculate the probability: P(5 girls) = 0.246

Please help with this Algebra 1 math problem:

A system of equations is shown below:

3x - y = 2
x + y = 6

The x-coordinate of the solution to this system of equations is _____.,

Answers

2................................................................
3x - y = 2

x + y = 6


This system is already in a nice form to do the elimination method on the y variable.

We simply add vertically.


4x = 8.


x = 2. The x-coordinate of the solution is 2.


We can plug the value in to find y if needed.

2 + y = 6.

y = 4.

Can anyone help me how to solve this?

Answers

1) 3^6 * 3^5 = 3^11
2) 2^3 * 2^7 = 2^10
3)7^2*7^6 = 7^8

hope it helps



[tex] x^{a} * x^{b}= x^{a+b}[/tex]
then for [tex] 7^{2}*7^{6}=7^{6+2}=7^{8}[/tex] then a =8 in here
and also [tex] 3^{6}*3^{5}=3^{6+5}=3^{11}[/tex] then a =11 in this example
for [tex]2^{3}*2^{7}=2^{3+7}=2^{10}[/tex] then a=10 in here

What is the value of n? Enter your answer in the box. n = cm Circle with two intersecting chords forming an x shape in the circle. The top left side of the x shape is labeled 7 centimeters. The top right side of the x shape is labeled 4 centimeters. The bottom left side of the x is labeled n. The bottom right side of the x is labeled 8 centimeters.

Answers

Answer: The length of the bottom left side is 14.

To find the length of this side, we need to know the relationship between the different sections when chords cross each other.

The relationship is that if you multiply the 2 parts of each chord together, it will equal the product of the two sides in the other chord.

Our equation can be written as:

7(8) = 4(x)
56 = 4x
14 = x

The value of n for the given circle with chords is; n = 14

How to find the length of a chord?

To find the length of the given side with length "n", we must know the relationship between the different sections when the chords cross one another.

Now, the relationship we require is that when we multiply the 2 parts of both chords together, it will be equal to the product of the two sides in the other chord. Thus;

7(8) = 4(n)

56 = 4n

14 = n

Read more about Length of Chord at; https://brainly.com/question/13950364

What is the smallest solution to the equation 3x^2-16=131

Answers

Answer:

x=7

Step-by-step explanation:

3*7*7 = 147

147-16 = 131

so x=7

note x could be -7 also

A line passes through the points (1, 4) and (3, –4). Which is the equation of the line?y=-4x+8, y = –2x + 6, y=-1/4x+2, y = 2x + 2

Answers

y=mx+b
m=(y2-y1)/(x2-x1)
m=(-4-4)/(3-1)
m=-4
First one is correct because the m value match my answer.

y = -4x+8  thats the answer

Other Questions
Does anybody have a proper answer? The major effect of genetic drift is..A) a reduction in genetic variability.B)an increase in genetic variation to accommodate changes in abiotic conditions.C)no change in population size but an increase in favorable alleles.D)a reduction in population size and an increase in genetic variability. which situation is associated with shear?A. new rock formationsB. convergent boundaries C. frequent shallow earthquakes D. volcanic mountain ranges True Or FalseThe term software refers to everything from the machines operating system (OS) to the individual programs and applications you use to write, listen, speak, sing, or learn. The term laissez Faire is a French saying meaning The most satisfying jobs are ones that involve _____. helping other people being creative earning a high income choices A and B Which sentence correctly uses the semicolon?(It was already late in the evening; and I wanted to go to bed.) There was no reason to stay awake, since we knew that the power would not come back on until the morning. (It had been a most unpleasant coincidence that the power outage had come when we had guests staying over; the entire house was full.) (Still, most of our guests had been understanding about it; so there was, for the most part, good humor all around.) Staying on the second floor of the house were Uncle John, Aunt Sally, cousin Roger, Pete, the twins, and myself. (We had it worse than everyone on the first floor, all the windows in all the upstairs rooms were tinted; and there wasnt enough moonlight in the first place.) Which of the following statements is true?Question 4 options:In an endothermic reaction, the energy of the products is the same as the energy of the reactants.In an exothermic reaction, the energy of the products is less than the energy of the reactants.In an exothermic reaction, the energy of the products is the same as the energy of the reactants.In an endothermic reaction, the energy of the products is less than the energy of the reactants.give an explanaintion if you can Which category of software would programming languages fall into? Roger has a nail that is 12 centimeters long. He measures and records the length of the nail as 15 centimeters. What is thepercent error in Roger's measurement? According to the law of conservation of energy, energy cannot be _____.A. changed or destroyedB. created and destroyedC. created or destroyedD. created and changed pleasee ill give you brainliest how many of the original 500 settlers of jamestown were left after the starving time If the principal on one loan is $1,000 more than another loan, the total cost of the loan is $1,000 more. The _____ created the office of juvenile justice and delinquency prevention. Baroque music was often composed for a specific event or to honor a specific person. Can you think of any musical pieces today that honor a specific person or event? Do you think this is a common feature of music today? Why or why not? What effects did this have on Baroque music? PLEASE HELP FAST How did the Compromise of 1850 address the question of slavery in Washington, D.C?-Slavery was abolished in Washington. D.C-The slave trade was allowed to continue in Washington, D.C-Slavery continued in Washington, D.C, but slave trading was banned-There were no slaves in the nation's capital What is the length of AB? Enter your answer In the box, round only your final answer to the nearest tenth. Why does the thermosphere have the highest temperature of all the atmosphere layers? what is the wavelength of a wave?A. the amount of time that one full cycle takes.B. the distance from the beginning to the end of a cycle.C. the amount of cycles that occur in a given time.D. the distance traveled by the wave during one full cycle.