A roll of gift-wrapping paper can cover 232.2 sq. in. Jimmy wants to wrap a soccer ball that he is giving as a gift. What is the maximum radius of the ball that Jimmy can wrap? Use 3.14 for π.
a. 3.8
b. 4.3
c. 9.2
d. 18.5

Answers

Answer 1

Answer:

Radius, r = 3.8 inch

Step-by-step explanation:

A roll of gift-wrapping paper can cover 232.2 sq. in. Jimmy wants to wrap a soccer ball that he is giving as a gift.

We need to find the maximum radius of the ball that Jimmy can wrap. The volume of a spherical shaped object is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

r = radius of the ball

[tex]r=(\dfrac{3V}{4\pi})^{1/3}\\\\r=(\dfrac{3\times 232.2}{4\times 3.14})^{1/3}\\\\r=3.8\ \text{inch}[/tex]

So, the maximum radius of the ball that Jimmy can wrap is 3.8 inches. Hence, this is the required solution.

Answer 2

The maximum radius of the ball that Jimmy can wrap is 3.8 inches.

Maximum radius of the ball

The maximum radius of the ball is calculated from volume of a sphere.

V = ⁴/₃πr³

where;

r is radius of the spherical ball

232.2 = ⁴/₃πr³

3(232.2) = 4πr³

696.6 = 4πr³

r³ = 696.6/4π

r³ = 55.433

r = (55.433)^¹/₃

r = 3.8 in

Thus, the maximum radius of the ball that Jimmy can wrap is 3.8 inches.

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Related Questions

help on this translation, please :)

Answers

Answer:

1) False, the point would get flipped diagonally, to -4, 4.

2) True, the point would get flipped diagonally, to -2, 6

3) False, the point would get flipped diagonally, to -3, 1

4) True, the point would get flipped diagonally, to 5, 2

5) True, the point would get flipped diagonally, to 7, 5

6) False, the point would get flipped diagonally, to -9, 3

7) True, the point would get flipped diagonally, to -5, 4

8) True, the point would get flipped diagonally, to 2, 1

Answer:

1. true

2. false

3. true

4. false

5. false

6. true

7. false

8. false

Step-by-step explanation:

DONT TRUST ME ON THESE ANSWERS CAUSE IM NOT 100% SURE :0

What additional information is needed to determine that ΔABC ≅ ΔEDC using the HL method of congruence? answers: A) ≅ B) No additional information is needed. C) ≅ D) ∠ACB ≅ ∠ECD

Answers

Answer:

AC congruent to EC

Step-by-step explanation:

This problem is asking specifically to prove triangles congruent using HL.

HL is a method of proving triangles congruent. HL stands for Hypotenuse-Leg. If you can show that the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg, respectively, of another triangle, then the triangles are congruent.

Looking at triangle ABC and EDC, we see that the legs AB and ED are congruent. We already have a pair of corresponding congruent legs. Now we need a pair of hypotenuses.

You need AC congruent to EC.

Answer:

AC congruent to EC

Step-by-step explanation: I took the test

Which pair of numbers is relatively prime?

Answers

Answer:

relatively prime. Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.

Step-by-step explanation:

Answer:

Two integers

Step-by-step explanation:

Two integers are relatively prime.

x + 13 = 7x+1
Solve for x and show steps

Answers

x + 13 = 7x+1

Subtract x from both sides:

13 = 6x +1

Subtract 1 from both sides:

12 = 6x

Divide both sides by 6:

x = 2

Answer:

x=2

Step-by-step explanation:

x+13=7x+1

6x=12

x=2

(6x⁴+11x²+9)+(3x²-x⁴-8) please help

Answers

Answer:

5x^4+14x^2+1

Step-by-step explanation:

Hope that helps

For each line, determine weather the slope is positive, negative, zero, or undefined.

Answers

Answer:

Below in bold.

Step-by-step explanation:

A horizontal line has zero slope and a vertical line undefined

In order they are: Zero, undefined, negative positive

Answer: The first one is zero, the second one is undefined, the third one is negative, and the fourth one is positive.

Step-by-step explanation:

Solve the equation 21 + x = 26

Answers

Answer:

x = 26 - 21 = 5

Answer:

x=5

Step-by-step explanation: Subtract 21 from both sides. x = 5.

Find the area of the figure.

Answers

Answer:

First find the area of the rectangle.

length x width = area

160 x 20 = 3200 area of rectangle

150 - 20 = 130

160 - 110 = 50

length x width / 2 = area of triangle

130 x 50 = 6500 / 2 = 3250

3200+3250=6450 square meters

Hope this helps

Step-by-step explanation:

Which is the equation in point slope form for the line that passes through (3,7) and is perpendicular to 3x-5y=8?

Answers

Answer:

Step-by-step explanation:

eq. of line is 3x-5y=8

5y=3x-8

y=3/5 x-8/5

its slope=3/5

slope of line perpendicular to it=-5/3

eq of line with slope -5/3 and passing through (3,7) is

y-7=-5/3(x-3)

or 3y-21=-5x+15

or 5x+3y=15+21

or 5x+3y=36

CAN SOMEONE HELP OVER HERE LOL PLEASE HELPPPPP Solve the inequality. -3/4y less than 9. The solution set is ?

Answers

Answer: y<-12

Step-by-step explanation:

[tex]-\frac{3}{4}y>9[/tex] is our einequality we are given. To solve, we want to get x alone. We would have to multiply both sides by -4/3.

[tex]y>-12[/tex]

You may thing this is the answer, but it is very close. When you multiply or divide by a negative number, you flip the sign. Therefore, the answer is [tex]y<-12[/tex].

A group of 9 friends went bowling. Each person pays the same amount to bowl several games and a $3 fee to rent shoes. The total cost for the friends to bowl and rent shoes is $162. How much does it cost each friend to bowl ( not counting the shoe rental fee)?

Answers

Answer:

Each friend payed $15

Step-by-step explanation:

( 9 x 3 - 162 ) divide that answer by 9 to get the amount of how much each friend payed.

is it possible to make a quadrilateral with any four dots as corners?

Answers

Answer:

Yes it is possible, given with 4 dots, lets say were set anywhere within a page or anywhere upon a circumference of a circle even. We can draw 4 straight lines to meet each corner and call this a quadrilateral.

Step-by-step explanation:

Squares, Rectangles and Rhombuses are all Parallelograms and squares and rectangles are regular quadrilaterals!

So any other 4 sided shape that is quadrilateral could be made.

The picture below shows all branches of quadrilaterals.

Answer:

No

Step-by-step explanation:

No.

For example, if all 4 dots are on a line, then the 4 dots do not make a quadrilateral.

Answer: No

The offices of​ president, vice​ president, secretary, and treasurer for an environmental club will be filled from a pool of 15 candidates. Eight of the candidates are members of the debate team.
​(a) What is the probability that all of the offices are filled by members of the debate​ team?
​(b) What is the probability that none of the offices are filled by members of the debate​ team?

Answers

Answer:

The probability that all of the offices are filled by members of the debate​ team is 0.0512 and the probability that none of the offices are filled by members of the debate​ team is 0.0256

Step-by-step explanation:

The offices of​ president, vice​ president, secretary, and treasurer for an environmental club will be filled from a pool of 15 candidates.

So, Number of candidates required = 4

Total number of candidates = 15

Number of candidates which are members of the debate team. = 8

So, Number of candidates which are not the members of the debate team = 15-8 =7

The probability that all of the offices are filled by members of the debate​ team = [tex]\frac{^8C_4}{^{15}C_4}=\frac{\frac{8!}{4!\left(8-4\right)!}}{\frac{15!}{4!\left(15-4\right)!}}=0.0512[/tex]

The probability that none of the offices are filled by members of the debate​ team=[tex]\frac{^7C_4}{^{15}C_4}=\frac{\frac{7!}{4!\left(7-4\right)!}}{\frac{15!}{4!\left(15-4\right)!}}=0.0256[/tex]

Hence The probability that all of the offices are filled by members of the debate​ team is 0.0512 and the probability that none of the offices are filled by members of the debate​ team is 0.0256

Name the types of angles shown.
Check all that apply.

Answers

Answer:

Here you go!

Step-by-step explanation:

There is a 90 degree angle,

An obtuse angle

And an acute angle

Right angle (EFH)

Acute angle(GFH)

What is the equation of the line that is parallel to the given
line and passes through the point (-3, 2)?
3x - 4y = -17
O 3x - 4y = -20
4x + 3y = -2
O 4x + 3y = -6

Answers

Answer:

Step-by-step explanation:

is the given line  3x - 4y = -17?

then,

- 4y = -3x -17

y=(3/4)x+17/4

it is parallel, so slope of our line is 3/4 or 0.75

y=0.75x+b

next, lets plug in the given point to get the y-int

2=0.75*(-3)+b

2=-2.25+b

b-2.25=2

b=4.25

the equation is y=0.75x+4.25

does this clear anything, or am I off topic? please tell me I will help you

The equation of line is [tex]y=\frac{3}{4}x+\frac{17}{4}[/tex]

Slope-intercept form of line :

The given equation of line is,

                            [tex]3x-4y=-17\\\\4y=3x+17\\\\y=\frac{3}{4} x+\frac{17}{4}[/tex]

Compare above equation with [tex]y=mx+c[/tex]

Slope of given line [tex]m=\frac{3}{4}[/tex]

Since, the slope of all parallel lines are same.

So that, slope of required line is also [tex]\frac{3}{4}[/tex]

The equation of line is, [tex]y=\frac{3}{4}x+c\\[/tex]

Substitute point [tex](-3,2)[/tex] in above equation.

                   [tex]2=\frac{3}{4}(-3)+c\\\\\\c=2+\frac{9}{4} =\frac{17}{4}[/tex]

Substitute  value of c in equation of line.

       [tex]y=\frac{3}{4}x+\frac{17}{4} \\\\\\[/tex]

Thus, the equation of line is [tex]y=\frac{3}{4}x+\frac{17}{4}[/tex]

Learn more about the equation of line here:

https://brainly.com/question/18831322

Find the lowest common denominator

Answers

Answer:

A #1 ( x+2)2 (x-2)2

Step-by-step explanation:

it is the only one that could possibly work

Please answer!!! i’m trynna pass

Answers

Answer:

-6 ≤y≤9

Step-by-step explanation:

The range is the values for the outputs

The range is from -6 inclusive to 9 inclusive

-6 ≤y≤9

Pls help me it’s emergency

Answers

2x + 2x +x = 5x
100% divided by 5x = 20%
x = 20%

A) 20%
B) blue

It’s blue because 2x is more than x giving it a higher probability

Multiply. Your answer should be a monomial in standard form. {(-t^7)(-t^5)}

Answers

Answer:

t^12

Step-by-step explanation:

Because both multiplicands are negative, their product will be positive.  Both multiplicands are to the same base:  t.

Therefore, the product is t^(7 + 5), or t^12.

Suppose statement p is true but statement q is false. Which of these compound statements are true? Check all that apply. p ∧ q, p ∨ q, p → q, q → p, p ↔ q, q ↔ p

Answers

Answer: the answer is p v q and q -> p

Step-by-step explanation:

edg 2022

Given the original statement "If a number is negative, the additive inverse is positive," which are true? Select three options.
If p = a number is negative and g = the additive inverse is positive, the original statement is p - 9.
If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is p -9.
If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is ~g - p.
If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is perq.
Ulf g = a number is negative and p = the additive inverse is positive, the converse of the original statement is 9 - p.

Answers

Step-by-step explanation:

If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is q → p. If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q.

pls help show ALL work

Answers

Answer:

B. 5.81

Step-by-step explanation:

So to get this answer, you'd first find how much square inches are on the cheese. We know its 9/10 of the pizza and the pizza is 215 square inches. To find out what is 9/10 of the pizza you'd multiply 215 by 9 then divide by 10. That'd leave you with 193.5 then you multiply that by the cost $0.03 then get 5.805 which rounds up to 5.81.

Help ASAP ❤️❤️❤️!!!!!!!!!!

Answers

Answer:

17.7 and 4.09

Step-by-step explanation:

Using the sine ratio in both right triangles

(49)

sin43° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{a}{26}[/tex] ( multiply both sides by 26 )

26 × sin43° = a, thus

a ≈ 17.7 ( to 1 dec. place )

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

(50)

sin43° = [tex]\frac{a}{6}[/tex] ( multiply both sides by 6 )

6 × sin43° = a , thus

a ≈ 4.09 ( to 2 dec. places )

Chantelle takes out a loan of $3,500 with an APR of 4.25%. She will repay the loan in monthly payments for 6 months. To find the total amount of interest she will pay, Chantelle uses an online calculator. What are the correct numbers she should enter?

Answers

Answer:

P = 3,500   r = 0.0425    n = 12    t = 0.5

Step-by-step explanation:

P is the principal amount, which in this case is $3,500, or the start amount.

r is the interest rate, which is 4.25%. Change 4.5% to decimal form and it will be 0.0425.

n is the number of times the loan is repaid, or 12.

t is the time. In this case, the loan will be for 6 months, or half a year. Remember that variable t is always in term of years. In decimal form, half a year is 0.5.

What is the median of the data
represented in the box plot below?
25
35
45
55

Answers

Answer:

40

Step-by-step explanation:

-To find the median with an odd set of numbers

put the numbers in chronological orderfind the number in the middle and that is your answer

-To find the median with a even set of numbers

put the numbers in chronological orderfind the average of two numbers in the middle (to do so:add the 2 numbers in the middledivide that number by 2and that's your answer

Order the expressions from the least to the greatest
-2, -2.2, 5, 2, 2.2, -5

Answers

Answer:

-5, -2.2, -2, 2, 2.2, 5

Step-by-step explanation:

-5

-2.2

-2

2

2.2

5

Answer:

-5

-2.2

-2

2

2.2

5

Which excerpt best displays the function of narrative structure in Monster? The best time to cry is at night, when the lights are out and someone is screaming for help. The guy who was hit they made sit at the table while they waited for another guard to bring them rubber gloves. Sometimes the camera moves in so close that you can’t tell what is going on and you guys listen to the sounds and guess. I think to get used to this I will have to give up what I think is real and take up something else.

Answers

Answer:

I think to get used to this I will have to give up what I think is real and take up something else.

Explanation:

The crime novel Monster by Walter Dean Myers tells the story from the point of view of the prime protagonist Steve Harmon through his diary form of writing about his life in prison. Though there is also the omniscient third-person narrator at times, the narration mostly takes place through the voice of Steve Harmon.

The narrative structure of any plot of a story is the order or manner in which the narration of the story takes place/ is done. It may include character, plot, conflict, setting and resolution. And in this particular text/ novel, the function of the narrative structure is best displayed in the line spoken by Harmon, "I think to get used to this I will have to give up what I think is real and take up something else".

Answer:

I think to get used to this I will have to give up what I think is real and take up something else.

Step-by-step explanation:

Over the last 5 years, a corporation's debt grew by $ 4 , 253 , 335 . Calculate the average rate at which the company's debt was growing in cents per second. Round your answer to the nearest hundredth if necessary. (For the purposes of this calculation, use 365 days/year.)

Answers

Answer:

$.03 per second

Step-by-step explanation:

Take the debt and divide by  the number of years

4 , 253 , 335 /5

850667 per day

The divide by how many days in a year

850667/365

2330.594521 per day

Then divide by 24 hours in a day

2330.594521 /24

97.10810502 per hour

Then divide by 60 minutes in an hour

97.10810502/60

1.618468417 per minute

The divide by 60 seconds  in an hour

1.618468417/60

.026974474 per second

$.03 per second

Helpppppppp. Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has no oil and the test shows that it has oil? A. 0.09 B. 0.11 C. 0.36 D. 0.44

Answers

Answer:

Jason Inherit a land with a 45% chance of having oil.

Step-by-step explanation:

 The probability of the land having oil is = P ( O) = 45 /100

The probability of the land having oil is= Q(O ) =55/100

The machine has an accuracy of 80%. This suggests that 8 out of 10 times the machine will give a wrong reading.

The probability of the correct reading is=  P(M)=80/100

The probability of the incorrect reading is=Q(M)=20/100

The case when the machine predicts there is no oil and there is indeed oil can be calculated:Probability=Probability of oil present  ×  probability of the incorrect reading

Probability=P(O) x Q(M)

Probability=45/100 x 20/100

Probability=9/100

The probability of the test predicting no oil in land and the land has oil is  0.09 or 9%

Simplify this expression

Answers

Answer:

17-(- 2 / 5j)

Step-by-step explanation:

16 + (- 5 ) - 2/5j - 4/5 j + 6

    \/                  \/            \/

    11-         ( -2/5j )       + 6

From here you over  the 6 over to the 11

11+6-(-2/5j)

 \/

17-(-2/5j)

It can not be simplified farther I believe

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