Scientists are drilling a hole in the ocean floor to learn more about the Earth's history Currently, the hole is in
the shape of a cylinder whose volume is approximately 4200 cubic feet and whose height is 4.3 miles. Find
the radius of the hole to the nearest hundredth of a foot. (Hint: Make sure the same units of measurement are
used.)
The radius of the hole is
feet. (Round to the nearest hundredth.)

Answers

Answer 1

Answer:

The radius of the hole is 0.24 feet

Step-by-step explanation:

Firstly, we need to convert the miles to feet

Mathematically;

1 mile = 5,280 feet

4.3 miles is thus;

4.3 * 5,280 = 22,704 feet

Mathematically, the volume of a cylinder is;

V = pi * r^2 * h

here, we want to get r

4200 = 3.142 * r^2 * 22,704

r^2 = 4200/(3.142 * 22,704)

r = 0.24 feet


Related Questions

– 7y = 7x + 21

Please I need these two question answered fasttttt, I need to get the slope and y-intercept for both these problems.

Answers

Answer:

slope=-1

y-intercept=-3

Step-by-step explanation:

if you solve the equation, it equals y = -x-3 since you divide -7 from both sides

30 points! See pic attached. Will mark brainliest.

Answers

Answer:

Step-by-step explanation:

i think it a c e i hope this helps :^

answer: D,B,C

Step-by-step explanation:

line A is perpendicular to B and line A and B is parallel to line C

If you could help I would really appreciate it, but if not that’s fine. Thank you.

Answers

since 5 is less than or equal to 5, you input it into the middle equation.

x=5

so 5 is the answer!

How do you do this?

Answers

Answer:

132 degrees

Step-by-step explanation:

its asking for angle r, right? the degrees they give you is across from the needed angle. in class alone that would give you the answer, but since a line is 180 degrees, 180 minus 132 is 48 degrees, 48 plus a unknown angle(r) is 180. hence 132

Julien is baking cookies with his mother.

The recipe calls for:

1 ½ cups of flour

2 ⅔ cups of oatmeal

3 ¼ cups of chocolate chips

1 cup of sugar

½ cup of brown sugar

The only measuring cups that Julien can find are ⅛ cup and ⅓ cup. How will he make the cookies?

Answers

Answer:

well quite easily just doing the math

Step-by-step explanation:

Ta -Da

1 1/2 cups of flour = 12/8 cups of flour

2 2/3 cups of oatmeal = 2 2/3 cups of oatmeal

1 cup sugar = 3/3 or 8/8 cups of sugar

1/2 cup of brown sugar = 4/8 cups of brown sugar

how do I find the value of x in 6 / x + is equal to 9/3 ​

Answers

Answer:

its 2

Step-by-step explanation:

9/3 = 3

6/x has to = 3

thus x= 2

6/2= 3

(2x - 5), (2 +30), and (2x – 5)
Solve for x

Answers

You solve for x it’s your work isn’t it lots

Misha and Carlos collect baseball cards. Misha has been collecting cards longer and finds a ratio of 9 to 4 when comparing her total cards to her friend. If Carlos has 76 cards, how many cards do they have together?

Answers

Answer:

247 cards

Step-by-step explanation:

Misha : Carlos = 9 : 4

Carlos = 76 cards

Misha = x cards

9 : 4 = x : 76

9/4 = x/76

Cross product

9 * 76 = 4 * x

684 = 4x

x = 684 /4

x = 171

Misha = 171 cards

how many cards do they have together?

Total cards altogether = Misha + Carlos

= 171 cards + 76 cards

= 247 cards

Total cards altogether = 247 cards

I need help with this ASAP and can you explain so i can understand?!

Answers

Answer:

Adult tickets sold =  225

Student Tickets sold =  375

Step-by-step explanation:

Let:

Adult tickets sold = x

Student Tickets sold = y

Total tickets sold = 600

So, we can write: x+y = 600

Total money collected = 3037.50

Cost of 1 Adult ticket = $6.00

Cost of one Student ticket = $4.50

So, we can write: 6x+4.5y=3037.50

Now, we get a system of equations, that if solved we can find values of x and y

Let:

[tex]x+y = 600--eq(1)\\6x+4.5y=3037.50--eq(2)[/tex]

We can solve using substitution method.

Finding value of x from eq(1) and putting it in eq(2)

[tex]We\:have\\x+y=600\\x=600-y[/tex]

Put in eq(2)

[tex]6x+4.5y=3037.50\\6(600-y)+4.5y=3037.50\\3600-6y+4.5y=3037.50\\-1.5y=3037.50-3600\\-1.5y=-562.5\\y=\frac{-562.5}{-1.5}\\y=375[/tex]

So, we get value of y = 375

Now put value of y in eq(1) to find value of x

[tex]x+y=600\\Put\:y=375\\x+375=600\\x=600-375\\x=225[/tex]

So, we get value of x = 225

The Tickets sold will be:

Adult tickets sold = x = 225

Student Tickets sold = y = 375

Refer to the diagram shown.

Answers

Answer:

60º

Step-by-step explanation:

A company makes Poppy Lapel Pins.
Each of them costs £1.10 to make.
In October it made 1000 lapel pins.
35% of them are given to charities.
The rest are sold in two formats: 60% of them at £3.00 each
40% of them at £5.00 for 2
Assuming that all the lapel pins will be sold by the end of November,
work out the percentage profit the company should make.
Give your answer to 1 decimal place.

Answers

Answer:

1000 less 35% == 650

so 250 given to charity

total cost making the pins was 1000x 1.10 = 1100

so you need to find 60 percent of 650 =390

and 40 percent of 650 = 260

so then you need to find the cost 390 x 3 pounds each so × this and gives you 1170 cost sold for intotal

Then you have 260 ÷2 = 130 x 5 = 650

so you have 650+1170 = 1820 - 1100 cost to make =720 pounds

think this right

Solve for x. 85+5x-10=11x+3

Answers

The answer is x=12. I hope this helps you out

2 pounds of grapes cost $8 How do they cost per pound? How many pounds of grapes do you get per dollar?

Answers

Answer:

$4 per pound and 0.25 pounds per dollar

Step-by-step explanation:

48 divided by 2 = $4

1 divided by 4 = 0.25

help me out with this so confused

Answers

The correct answer is 3.) 5 to the square root of 9. : )

Answer:

The answer is 3.

Step-by-step explanation:

A rational number means the number can be written as a fraction of two integers. [tex]5\sqrt{9}[/tex]=5*3=15, so it is the only rational number. The other answers cannot be written as a fraction of two integers.

Pedro drives the same route to work on Monday through Friday. His route includes one traffic light. According to the local traffic department, there is a 55% chance that the light will be red when he arrives at the intersection on a randomly selected workday. Suppose we choose 10 of Pedro's workdays at random and let Y = the number of times that the light is red.

Answers

Answer:

6 days

Step-by-step explanation:

Given

The proportion can be represented as:

[tex]p = 55\%[/tex]

And the number of days can be represented as:

[tex]n = 10[/tex]

Required

Determine the expected number of times, the light is red

To do this, we simply multiply the proportion by the number of days:

[tex]Y = n * p[/tex]

Substitute values for n and p

[tex]Y = 10 * 55\%[/tex]

Convert percentage to decimal

[tex]Y = 10 * 0.55[/tex]

[tex]Y = 5.5[/tex]

Approximate

[tex]Y = 6[/tex]

Hence, the expected number of days is 6 days

3n - 2n- 6h + 9

Pls help ASAP

Answers

Answer:

n-6h+9

first you subtract the ns from each other because those are the only like terms

3n-2n-6h+9

So first you get all the like terms together from calculating the addition sequence here from their coefficients

So

(3-2-6)x+9

Now you calculate the difference in the parenthesis

-5x+9 is your answer and you leave it like that because you can’t really do anything else just leave it how it is

*. John pulled a black sock from his drawer. He has 5 black socks, 4 navy socks, and 6 brown socks left in the drawer. He picks another sock at random. What is the probability it matches the black one? A.1/6 C. 1/3 B. 1/5 D. 1/2 ​

Answers

Answer:

C

Step-by-step explanation:

f(x) = 3x² + 4x – 6
g(x) = 6x3 – 5x2 – 2
Find (f – g)(a).

Answers

Step-by-step explanation:

(-6x^3+8x^2+4x-4)

option D is correct answer

Answer:A

Step-by-step explanation:

Solve |x – 4| + 6 = 17.
A. X= 15 and x = -15
B. x= -15 and x= 7
C. x = 15 and x= -7
D. x = -15 and x = -7

Answers

Answer:

[tex]\mathrm{C)\:}x=15,\:-7[/tex]

Step-by-step explanation:

For [tex]|a-b|=c[/tex], there are two possible cases:

[tex]\begin{cases}a-b=c\\a-b=-c\\\end{cases}[/tex]

Solving for both cases, we get:

[tex]\begin{cases}x-4+6=17, \:x+2=17, \: \fbox{$x=15$}\\-(x-4)+6=17,\: -x+10=17, \: -x=7, \:, \fbox{$x=-7$}\\\end{cases}[/tex]

1. Find the volume of the cylinder. (no units-round to nearest tenth
7 km
8 km

Answers

Answer:

1407.43 would be your answer

Step-by-step explanation:

The formula is [tex]\pi r^2h[/tex], so plug 8 and 7 into the equation, and you'll get your answer. Hope this helps :)

Which is 42.364 written with words?

Answers

FORTY-TWO AND THREE HUNDRED SIXTY-FOUR THOUSANDTHS hope this helps

Find the length of the third side to the nearest tenth. 3 3

Answers

Answer:

4.2

Step-by-step explanation:

Hypotenuse ² = opposite ² + adjacent ²

Opposite = 3

Adjacent = 3

Hypotenuse ² = opposite ² + adjacent ²

Hypotenuse ² = 3² + 3²

Hypotenuse ² = 9 + 9

Hypotenuse ² = 18

Find the square root of both sides

√Hypotenuse² = √18

Hypotenuse = √18

Hypotenuse = 4.2426406871192

Hypotenuse = 4.2 to the nearest tenth

Subract the sum of 3a^4b-4b^3+c^2 & 6a^4b+3b^3-6c^2 from the sum of 6a^4b-4b^3-4c^2 & 2a^4b+4b^3+7c^​

Answers

Answer:

-a^4b + b^3 - 8c^2

Step-by-step explanation:

Sum of

3a^4b-4b^3+c^2 + 6a^4b+3b^3-6c^2

= 3a^4b + 6a^4b - 4b^3 + 3b^3 + c^2 - 6c^2

= 9a^4b - b^3 - 5c^2

Sum of

6a^4b-4b^3-4c^2 + 2a^4b+4b^3+7c^

= 6a^4b + 2a^4b - 4b^3 + 4b^3 - 4c^2 + 7c^2

= 8a^4b + 3c^2

Subtract

8a^4b + 3c^2 - (9a^4b - b^3 - 5c^2)

= 8a^4b + 3c^2 - 9a^4b + b^3 + 5c^2

= 8a^4b - 9a^4b + b^3 + 3c^2 + 5c^2

= -a^4b + b^3 - 8c^2

Clean123 Inc. performs 1,000 of cleaning services for a customer. After 30 days the computer pays 50% of the invoice with a check. How will this transaction be recorded

Answers

did you get ittttt???

please help me out

write the first four terms of the arithmetic sequence given a1=-3 and d=-2

Answers

1) -3
2) -5
3) -7
4) -9

Explanation:
Arithmetic Sequence Formula
a(n) = a1 + (a - 1) (d)

a= term position
a(n)= nth term
a1= first term

y = 2x - 1
y=-3x + 4
Solve the following system of equations for x

Answers

Answer:

x = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 2x - 1

y = -3x + 4

Step 2: Solve for x

Substitution

Substitute in y:                   2x - 1 = -3x + 4Add 3x on both sides:       5x - 1 = 4Add 1 to both sides:           5x = 5Divide 5 on both sides:     x = 1

Answer:

[tex]y = 2x - 1 \: and \: y = - 3x + 4 \\replacing \: the \: value \: of \: y, \: we \: get \\ 2x - 1 = - 3x + 4 \\ 5x = 5 \\ \boxed{x = 1}[/tex]

x= 1 is the right answer.

Can u pls help me with this question

Answers

Answer:

21 is the answer your welcome

21 bro ✌✌hope it helps my man

answer this. I will giveBRAINLIEST​

Answers

Answer:

Multiply both sides by 3, then subtract 6 from both sides

Step-by-step explanation:

d + 6 / 3 = 6 (multiply both sides by 3)

d + 6 = 18 (subtract 6 from both sides)

d = 12

Answer:

d+6= 18.

d= 12

multiply both sides by 3

subtract 6 from both sides

By leading figure estimation, approximate the value of 5 850÷22

Answers

265.9090909090909 is the answer

What’s the measure of the other angle?

Answers

61 because they r congruent
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