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 3500 cubic feet and whose height is 2.9 miles. Find the radius of the hole to the nearest hundredth of a foot. (Hint: Make sure the same units of measurement are used.)
Answers
The radius of the hole is 0.07 feet.
What is the radius?A cylinder is a three-dimensional object that is made up of a prism and a circular base.
Volume of a cylinder = πr²h
Radius = √volume / (π x h)
Where:
π = pi = 22/7r = radiush = heightThe volume of the hole and the height of the hole are in different dimensions. Thus, the height of the hole has to be converted to feet.
1 mile = 5280 feet
5280 x 2.9 = 15,312 feet
3500 / (22/7 x 15,312) = 0.07 feet
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Related Questions
Please help 25 points
Answers
The angles that are congruent are as follows:
∠EBF and ∠GBH∠DEA and ∠BEC∠FBG and ∠HBE∠AEB and ∠CEDWhat are vertical angles?Vertical angles are angles that are opposite of each other when two lines cross. In other words, vertical angles are formed when two lines meet each other at a point.
Vertically opposite angles are congruent.
Therefore, let's find the angles that are congruent in the diagram.
When lines intersect angle relationship such as vertically opposite angles are formed.
Therefore, the following angles are congruent because they are vertically opposite angles.
∠EBF and ∠GBH are congruent. ∠DEA and ∠BEC are congruent. ∠FBG and ∠HBE are congruent. ∠AEB and ∠CED are congruent.learn more on vertical angles here: https://brainly.com/question/24460838
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what is 20 squared 2 + 6(9 + 3)
Answers
Answer:
\(\sf 872\)
Step-by-step explanation:
Parentheses
\(9 + 3 = 12\)
\(=20^2\cdot \:2+6\cdot \:12\)
Exponents
\(20^2=400\)
\(=400\cdot \:2+6\cdot \:12\)
M/D(Multiply/Div.)
\(6\cdot \:12 = 72\)
\(=800+72\)
A/S(Add/Sub.)
\(800+72=872\)
\(\sf Thus,\\= 872\)
Sally needs 4 equal pieces of rope for her
tire swing. If she has a total of 29.4 feet of
rope, how much will each piece of rope
be?
Answers
Based on the given conditions, formulate:
29.4 ÷ 4
Calculate:
29.4/4
Multiply both the numerator and denominator with the same integer:
294/40
Cross out the common factor:
147/20
Convert the number:
147/20
Alternative result: 7.35 or 7 7/20
24. 2(8 + 4c) = 32
Solve equationcheck your answer
Answers
2(8 + 4c) = 32; Distribute the 2
16 + 8c = 32; Subtract 16
8c = 16; Divide 8
c = 2
Check:
2(8 + 4(2)) = 32; Put 2 in for c; multiply 4 * 2
2(8 + 8) = 32; Add
2(16) = 32; Multiply
32 = 32; The Statement is True, so The Answer is Right
Can you help me on this
Answers
Answer:
hope it helps
Step-by-step explanation:
the inside angles of a triangle are always 180 so, 43+60=103+59=162 180-162=18
A=59
B=103
CandZ=18
now we follow the same rule but with the smaller triangles
x=78
y=102
z=18
word problem for 4x - 3 = 17?????
Answers
Answer: My bill was 17 dollars. I gave four tokens of equal monetary value to the cashier who gave me in return 3 one dollar bills. How much was each token worth?
Step-by-step explanation: 4x - 3 = 17.
add 3 to both sides
4x = 20
x = 5. Each token was worth $5.
Sara wants to make dinner for herself the recipe she will use calls for 13 1/2 ounces of chopped nuts however the recipe feeds 6 people how many ounces of chopped nuts does Sara need for one serving
Answers
Sara need 9/4 ounces of chopped nuts
How to calculate the number of chopped nuts that sara needs?Sara wants to make dinner for herself
The recipe she will use calls for 13 1/2 ounces
The recipe feeds 6 people
The number of ounces of chopped nuts that Sara needs can be calculated as follows
13 1/2
= 27/2 ÷ 6
= 27/2 × 1/6
= 27/12
= 9/4
Hence Sara needs 9/4 ounces of chopped nuts for one serving
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Dylan and Eric were the lead scorers in a basketball game. Dylan scored p points in the second period of the game. Eric scored as many points as Dylan in the same period of the game. a) Write an expression for Eric's score in terms of p. points b) If Dylan scored 18 points in the second period, how many points did Eric score?
Answers
I think the answers 3048_&8_9_)_)_
I will mark as brainliest if answer is correct.
Which ordered pair is a solution to the system of inequalities?
y≥2x-1
y<4x
A. (2,6)
B. (3,2)
C. (3,4)
D. (2,8)
Answers
i don’t understand this , what’s the answer?
Answers
first go down the corridor and then up the stairs
so fist check x and then y axis
2.5 (x axis) which is hours
20 (y axis) earnings
Find the original price. Round to the nearest cent. Sale price: $42
Discount: 30%
Answers
Answer:
140
Step-by-step explanation:
Calculator Recommended:
100 / 30 = 3.3333333
Multiply it by 42 and you'll get the original cost.
Given that A={1,2,3,4,5} list the elements of the following sets. i.{x2:x€A} ii.{ :x€A} iii.{2x :x€A} iv.{4x+1:x€A}
Answers
Answer:no idea
Step-by-step explanation:
there are 15 squares and nine circles what is the simplest ratio of circles to total shapes?
Answers
Answer:
3 to 8
Step-by-step explanation:
There are 24 total shapes, 9 of which are circles. So we have the ratio 9 to 24, or 3 to 8.
help, I need help. please
Answers
Answer:
4 1/2 and 7 1/4
Step-by-step explanation:
really need help with is problem if any math wizards are on
Answers
Answer:
2
DNE
-3
3
Step-by-step explanation:
(1) DNE because it is not continuous
(2) DNE because it is not continuous
(3) -3 because at 4, f(x) = -3
(4) x can be any value of -5-2k (where k is a positive integer) or 3. So you can just put 3.
Using the following image, solve for UW. 7 2x + 3 U V 2x+3 W X + 10 UW
Answers
Answer
UW = 10
Explanation
From the image attached, we can see that
UV + VW = UW
But
UV = 2x + 3
VW = 7
UW = x + 10
UV + VW = UW
(2x + 3) + 7 = x + 10
2x + 3 + 7 = x + 10
2x + 10 = x + 10
2x - x = 10 - 10
x = 0
UW = UV + VW
UW = 2x + 3 + 7
UW = 2 (0) + 10
UW = 0 + 10
UW = 10
Hope this Helps!!!
Find The Sum or Difference
(-6x – 3) + (3x – 9)
Answers
Answer:
-3x -12
Step-by-step explanation:
-6x +3x = -3x
-3-9 = -12
Lebron James is 6 feet 9 inches tall. There are 2.54 centimeters in 1 inch. What is Lebron's height in
centimeters?
Answers
12 inches in 1 foot
so 6•12= 72inches
72•2.54=182.88
9•2.54=22.86
182.88+22.86=205.74
Answer:
205.74 cm
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words.
Consider this expression.
√a³ - 7+ |b|
When a = 2 and b = -4, the value of the expression is
Answers
The given expression √(a³-7)+ | b |, when a = 2 and b = -4, the value of the expression is, 5
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
The expression,
√(a³-7) + | b |
where, a = 2
b = -4
Now, by putting values of a and b in the given equation,
⇒ √(a³-7) + | b |
⇒ √(2³-7) + | -4 |
For whatever value of x, |x| will give always positive value
So, now it can be further written as,
⇒ 1 + 4
⇒ 5
Hence, the value is 5
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Triangle XYZ, X equals 27 cm, Y equals 79 cm and angle C equals 142Degrees. Find the length of Z, to the nearest centimeter.
Answers
Given:
In triangle XYZ, x = 27 cm, y = 79 cm and \(\angle C=142^\circ\).
To find:
The length of z.
Solution:
In triangle XYZ, using the Law of cosine, we get
\(z^2=x^2+y^2-2xy\cos Z\)
Putting the given values in the above formula, we get
\(z^2=(27)^2+(79)^2-2(27)(79)\cos (142^\circ)\)
\(z^2=729+6241-4266(-0.788)\)
\(z^2=6970+3361.608\)
\(z^2=10331.608\)
Taking square root on both sides.
\(z=\pm \sqrt{10331.608}\)
\(z=\pm 101.6445178\)
Approx the above value to the nearest number and side length cannot be negative. So,
\(z\approx \pm 102\text{ cm}\)
Therefore, the length of z is about 102 cm.
Answer:102
Step-by-step explanation:
Yooo help again
20 characters
20 characters
20 characters
20 characters
20 characters
Answers
Answer:
A
Step-by-step explanation:
X always equals 0 :)
8
If d = 2, what is the value of (4-d)?
O A. 1
OB.
3
OC.
4
OD
0
Res
Answers
Answer:C
Step-by-step explanation:
Dave bought a rental property for $675,000 cash. One year later, he sold it for $700,000. What was the return on his $675,000 investment? (Negative amount should be indicated by a minus sign. Enter your answer as a percent rounded to 2 decimal places.)
Answers
The return on his $675,000 investment is 3.57%.
Given that, Dave bought a rental property for $675,000 cash. One year later, he sold it for $700,000.
We need to find the what was the return on his $675,000 investment.
What is the return on investment?Return on investment or return on costs is a ratio between net income and investment.
Now, return=700,000-675,000=$25000
Return in percentage=25000/700000×100=3.571%
=3.57%
Therefore, the return on his $675,000 investment is 3.57%.
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The final exam grade distribution for all students in the introductory statistics class at a local community college is displayed in the table, with A = 4, B = 3, C = 2, D = 1, and F = 0. Let X represent the grade for a randomly selected student from the class. A 2-column table with 5 rows. Column 1 is labeled grade with entries 4, 3, 2, 1, 0. Column 2 is labeled probability with entries 0.4, 0.32, 0.17, 0.08, 0.03. What is the mean of the distribution? 2 3 2.98 3.50
Answers
The mean of the discrete distribution that models this situation is of 2.98.
What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
Considering the table, the probability distribution is given by:
P(X = 4) = 0.4.P(X = 3) = 0.32.P(X = 2) = 0.17.P(X = 1) = 0.08.P(X = 0) = 0.03.Hence the mean is given by:
E(X) = 4 x 0.4 + 3 x 0.32 + 2 x 0.17 + 1 x 0.08 + 0 x 0.03 = 2.98.
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Please help me solve |3b+9| -16 = -52
Answers
Answer:
b= -15
Step-by-step explanation:
First combine like terms 9-16= -7
Left 3b-7= -52
Next add 7 to both sides
Left 3b= -45
Finally divide
So b= -15
Goran plans to buy a used van that costs $22,000. The dealer requires a 20% down payment. The rest of the cost is financed with a 2-year, fixed-rate amortized auto loan at 4% annual interest with monthly payments. Complete the parts below. Do not round any intermediate computations. Round your final answers to the nearest cent if necessary. If necessary, refer to the list of financial formulas. (a) Find the required down payment. $4,400 (b) Find the amount of the auto loan. $17,600 (c) Find the monthly payment. $0 X
Answers
The monthly payment for the auto loan is approximately $762.43.
(a) To find the required down payment, we need to calculate 20% of the cost of the van.
Down payment = 20% of $22,000
Down payment = 0.2 \(\times\) $22,000
Down payment = $4,400
Therefore, the required down payment is $4,400.
(b) The amount of the auto loan is the remaining cost of the van after the down payment.
Loan amount = Total cost of van - Down payment
Loan amount = $22,000 - $4,400
Loan amount = $17,600
Therefore, the amount of the auto loan is $17,600.
(c) To calculate the monthly payment for the auto loan, we can use the formula for the monthly payment on an amortized loan:
Monthly payment = (Loan amount \(\times\) Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Number of months))
In this case, the loan amount is $17,600, the annual interest rate is 4%, and the loan duration is 2 years, which is 24 months.
Monthly interest rate = Annual interest rate / 12
Monthly interest rate = 4% / 12
Monthly interest rate = 0.04 / 12
Monthly interest rate = 0.00333
Plugging in the values into the formula:
Monthly payment \(= ($17,600\times0.00333) / (1 - (1 + 0.00333)^{(-24)})\)
After calculating, the monthly payment comes out to be approximately $762.43.
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A number cube is rolled and a coin is flipped. Predict how many times you would get heads and a number greater then 5 in 240 trials.
60
40
30
20
Answers
The answer of the given question on probability on predicting the number of times the head will come is the answer is (b) 40.
What is Outcome?An outcome refers to the result or consequence of a particular event, action, or decision. In probability theory, an outcome specifically refers to a possible result of an experiment or a random event. The outcome is the specific result that occurs when the experiment is performed. The concept of outcome is important in many fields, as it helps us to understand the potential consequences of our actions and to make informed decisions based on the expected results.
The probability of rolling a number greater than 5 on a number cube is 1/3, since there are 2 favorable outcomes out of 6 possible outcomes. The probability of getting heads on coin flip are 1/2.
To find the expected number of times that both events occur in 240 trials, we can multiply the probabilities together and then multiply by the total number of trials:
Expected number of times = (1/3) * (1/2) * 240 = 40
Therefore, the answer is (b) 40.
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Phoenix and Stella found a box with a total of 216
books that needed to be shelved.Phoenix said he can
arrange all the books on 18 shelves with 12 books on
each shelf. Stella says she can arrange all the books
on 9 shelves with 24 books on each shelf. Who is?
Answers
Answer:
432
Step-by-step explanation:
216 + 216
= 432
Hope this helps!
Please mark me Brainliest!
Have a nice day
Choose as many answers as apply.
According to the lesson, things you can do to help you decide on a bank include:
compare interest rates
determine which bank has the most attractive buildings
ask friends where they bank
visit two or three branch office
Answers
Some things you can do to help you decide on a bank include:
Ask friends where they bankVisit two or three branch officesCompare interest ratesWhy are these important?When trying to locate a bank that offers competitive returns on savings and favorable borrowing costs, consider comparing interest rates.
To gather additional information about certain banks, why not solicit feedback from acquaintances? People who have personal experience with a particular bank can provide valuable insights into their satisfaction levels with regards to customer service, for example.
Finally, taking the time to visit branch offices can offer valuable clues regarding convenience level and overall atmosphere.
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Which of the following is an example of a conditional statement?
Answers
Answer:
The correct answer is A, If I practice football, then I will improve.