If the volume of the cylinder is 942 in³, what is the radius of the base of the cylinder? Use 3.14 for pie and enter your answer as a whole number.
Answers
The radius of the given cylinder is equal to r = 10 inches.
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width, and height of the Cuboid.
For the cylinder, the formula for the volume will be,
V = πr²h
Given that the volume of the cylinder is 942 cubic inches. the radius of the cylinder base will be calculated as,
942 = π x ( r² ) x 12
r² = ( 942 x 4 ) / ( 12 x π)
r² = 100
r = 10 inch
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Related Questions
A domain consists of the values 1, 2, 3, and 2. A range consists of the values 5, 10, 15, and 20. The 1 in the domain corresponds to the 5 in the range, the first 2 in the domain corresponds to the 10 in the range, the 3 in the domain corresponds to the 15 in the range, and the second 2 in the domain corresponds to the 20 in the range. Does this relation represent a function? Explain.(1 point)
It does not represent a function. The domain value of 2 corresponds to two values within the range.
It does not represent a function. Each value in the domain corresponds to exactly one value in the range.
It does represent a function. Each value in the domain corresponds to exactly one value in the range.
It does represent a function. The domain value of 2 corresponds to two values within the range.
Answers
Answer:
It does not represent a function. The domain value of 2 corresponds to two values within the range.
Step-by-step explanation:
Given the function:
Domain : Range
1 => 5
2 => 10
3 => 15
2 => 20
For a relation to be considered a function, every domain value should have exactly 1 range value assigned to it or mapped to it.
In order words, a domain value should not have different range values.
In the relation given, domain value of 2, has more than 1 range value, 10 and 20, assigned to it. It does not have exactly 1 range value.
Therefore, the relation does not represent a function because the domain value of 2 corresponds to two values (10 and 20), within the range.
Answer:
It does not represent a function. The domain value of 2 corresponds to two values within the range.
Step-by-step explanation:
2 Write 386 in expanded form
Answers
Answer:
300+ 80+6
Step-by-step explanation:
i think i not sure
Can I get help on this question or an example? I would really appreciate it.
A company charges $29.95 for the day and $0.95 Per mile driven to rent a 10 foot moving truck. (a) let B be The cost of renting a 10 foot moving truck for a day and driving the truck m miles . Write an equation for the cost of renting from this company
Answers
Answer:
B = 0.95m + 29.95
Step-by-step explanation:
this is really y = mx + b
m is a rate, 0.95 per mile
b is the y-intercept, or the price you pay no matter what, 29.95
The number of ways in which 6 pictures can be hung from 8 picture nails on the wall is a) 6^8 b) 20160 c) 8^6 d) None of these
only for mathdud
Answers
The number of ways in which 6 pictures can be hung from 8 picture nails on the wall is b) 20160.
Given:
The number of ways in which 6 pictures can be hung from 8 picture.
Number of ways = \(8_C_{6}\)*6!
\(8_C_{6}\) = 8!/(8-6)!6!
= 8!/2!*6!
= 8*7*6! / 2*1*6!
= 56/2
= 28
6! = 6*5*4*3*2*1
= 30*4*3*2*1
= 120*3*2*1
= 360*2*1
= 720*1
= 720
\(8_C_{6}\)*6! = 28*720
= 20160
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Answer:
answer is 20160 ..........
Find the shortest distance from Starting vertex A to F on the network below
Answers
In order to achieve the shortest distance from starting vertex (A) to F on a network, utilize Dijkstra's algorithm following these steps:
What are the steps?Initiate every vertex with a tentative distance value: assign zero to the starting point and infinity to other vertices.
Establish the initiating vertex as the current vertex.
Analyze all neighboring vertices of the current vertex and determine their respective tentative path length via current vertex. Proceed to compare it with its already assigned value; upgrade such distance if shorter than before.
Subsequent to analyzing adjacent points of the present node, designate it as 'visited'. Futuristic reference will disregard this chosen and visited vertex altogether.
Examine unexplored vertices marked as having the most reduced tentative distances, declare them 'current' while formulating new calculations for other contenders until pertinent conclusion is reached.
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What is the range of the following function, if the domain is {1,3,12}?
f(x) = x - 3
Answers
Select the correct answer.
What is the equation of the line that has a slope of 1 and passes through the point (1,5)?
Y - 1 = (x + 5)y - 1 = (x + 5)
y - 5 = (x - 1)y - 5 = (x - 1)
y + 1 = (20 – 5)y + 1 = (x - 5)
y + 5 = (x + 1)y + 5 = (1 + 1)
Please I need answer ASAP!! I’ll make you brainliest!!
Answers
Answer:b
Step-by-step explanation:
Convert the improper fraction to a whole or mixed number. (Enter your answer as a simplified mixed number.)
25
7
Answers
Use intercepts to graph the equation 2x-5y=10 Show work :)
Answers
A physical education teacher shares 21 bean bags equally between 4 students. The number of bean bags that each student gets lies between what two whole numbers.
A: 3 and 4
B: 5 and 6
C: 2 and 3
D: 7 and 8
Answers
Answer:
B. 5 and 6
Step-by-step explanation:
21 bean bags divided by 4 students will give you 5.25. That lies between 5 and 6. Hope this helps you and that little brainliest crown in the corner looks mighty tempting to click ;))
Answer:
B
Step-by-step explanation:
A merchant mixed 20 pounds of a cinnamon tea with 10 pounds of a spice tea. The 30-pound mixture sells for $80. A second
mixture included 12 pounds of the cinnamon tea and 8 pounds of the spice tea. The 20-pound mixture sells for $54. What is the
price per pound of the cinnamon tea?
A.$3.50
B.$2.50
C.$5.50
D.$0.50
Answers
Answer:10x+2y=38, where x is the dollar cost of cinnamon and y the dollar cost of the spice.1
6x+8y=80multiply the top by -4-40x-8y=-15216x+8y=80.
Add them and y is eliminated.-24x=-72
Step-by-step explanation:
Hey can you help me with my math assignment
Answers
Answer:
Value of x = 87°
Step-by-step explanation:
Given:
∠1 = 102°
∠2 = x + 15°
Find:
Value of x
Computation:
We know that, given two lines are parallel and third line interest that
So,
Corresponding angles are equal
So,
∠1 = ∠2
x + 15 = 102
x = 87
Value of x = 87°
Find the measure of side b.
b = _ yd
Answers
please help
What is the distance to the earth’s horizon from point P?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
x =
mi
Answers
The measure of distance x, that is, the distance between a point P and the point of horizon, is equal to 284.372 miles.
How to find the distance to the earth horizon from a given point
In this problem we must determine the distance between a point P located about earth's circumference and the point of horizon, located on earth's circumference. Since the line between these two points is tangent to earth, then, distance x can be found by Pythagorean theorem:
x = √[(3959 mi + 10.2 mi)² - (3959 mi)²]
x = 284.372 mi
The distance x is equal to 284.372 miles.
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Help me please please
Answers
Answer: 2052
Step-by-step explanation: 684 times 3 equal to 2052
A metallurgist has one alloy containing 41 % copper and another containing 54 % copper. How many pounds of each alloy must he use to make 40 pounds of a third
alloy containing 45 % copper? (Round to two decimal places if necessary.)
Step 1 of 2: Use the variables x and y
Answers
Answer:
30.39 and 10.26 pounds.
Step-by-step explanation:
Step 1 of 2: if the variables x (for 41% alloy) and y (for 54% alloy), then
Step 1 of 2: it is possible to make up the system of two equations:
\(\left \{ {{x+y=0.45*40} \atop {0.41x+0.54y=0.45(x+y)}} \right. < = > \ \left \{ {{y=\frac{72}{13} } \atop {x=\frac{162}{13}}} \right.\)
then the mass of the alloy containing 41% of coper is 162/13:0.41≈30.39
the mass of the alloy containing 54% of copper is 72/13:0.54=10.26.
Each individual letter of the word Wisconsin is placed on a piece of paper, and all 9 pieces of paper are placed in a hat. If one letter is selected at random from the hat, find the probability that a consonant is selected.P(consonant)-(Type a fraction. Simplify your answer.)
Answers
GIVEN:
We are told that all the individual letters of the word WISCONSIN are placed on a piece of paper. Then all nine pieces of paper are placed in a hat.
Required;
Find the probability that a letter chosen at random is a consonant.
Step-by-step solution;
The probability of an event is given by the formula;
\(P[event]=\frac{number\text{ }of\text{ }required\text{ }outcomes}{number\text{ }of\text{ }all\text{ }possible\text{ }outcomes}\)The number of all possible outcomes is the total number of letters that stands a chance of being selected, and that is 9. The number of required outcomes for this experiment is 6 (that is, 6 consonants).
Therefore, the probability of selecting a consonant by random is;
\(\begin{gathered} P[consonant]=\frac{6}{9} \\ \\ P[consonant]=\frac{2}{3} \end{gathered}\)ANSWER:
The probability of selecting a consonant is;
\(P[consonant]=\frac{2}{3}\)How do we represent a percent in a equation
Answers
Answer: heres an example
Step-by-step explanation:Convert the problem to an equation using the percentage formula: Y/X = P%
X is 60, Y is 12, so the equation is 12/60 = P%
Do the math: 12/60 = 0.20
Important! The result will always be in decimal form, not percentage form. You need to multiply the result by 100 to get the percentage.
Converting 0.20 to a percent: 0.20 * 100 = 20%
B.F. Retread, a tire manufacturer, wants to select one of three feasible prototype designs for a new tire; A, B, C.
Revenues
Low (0.30) Medium (0.50) High (0.20)
A 120,000 255,000 390,000
B 130,000 295,000 460,000
C 100,000 300,000 480,000
Required:
Calculate the highest value you would pay for a highly reliable forecast.
Answers
Answer:
c
Step-by-step explanation:
Mary had a 3-inch piece of ribbon. She cut it in half. How long were they new pieces
Answers
Answer:
1 and a half inches long
Because that 3 divided by 2 is 1.5.
P=x-2 ÷ x+1 for whar value of x is P equal to zero
Answers
Answer:
x = 2
Step-by-step explanation:
P = \(\frac{x-2}{x+1}\)
P will equal zero when the numerator is equal to zero , that is
x - 2 = 0 ( add 2 to both sides )
x = 2
P = 0 when x = 2
Name three collinear points.
Answers
Answer:
D, G and F or I, G and J------------------------
Collinear points are the points on the same line.
There are two lines in the diagram.
The collinear points:
D, G and F on one lineI, G and J on the second lineThe points that are collinear are D,G and E and another set of points which are collinear are L,G and J.
The points which lie on the same straight line are known as collinear points.
Similarly, if three or more number of points are collinear then they form a straight line.
If we observe the figure, the points D,G and E are collinear points as they are on same line.
Similarly the points L, G and H are in the straight line which makes them collinear.
Therefore , the points L,G and J are collinear points.
Hence, the points that are collinear are D,G and E and another set of points which are collinear are L,G and J
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Helppp me please I need to graduate
Answers
(5x³-7)(2x²+1)
OPTION D is the correct answer
determine the value of x if x+1,x-2,x+4and x-1 are in proportion
Answers
Answer:
Hope this helps ;) don't forget to rate this answer !
Step-by-step explanation:
If four numbers are in proportion, it means that the ratio of any two of them is equal to the ratio of any other two of them.
We can set up the proportionality as follows:
(x + 1) : (x - 2) = (x + 4) : (x - 1)
To solve for x, we can cross-multiply and simplify:
(x + 1)(x - 1) = (x - 2)(x + 4)
Expanding both sides, we get:
x^2 - 1 = x^2 - 2x - 8
Combining like terms, we get:
-2x = -9
Dividing both sides by -2, we get:
x = 4.5
Therefore, the value of x that makes x + 1, x - 2, x + 4, and x - 1 proportionate is x = 4.5.
Find the measure of one exterior angle in each regular polygon. Round your answer to the
nearest tenth if necessary.
3)
45°
27.7°
51.4°
Answers
Solution
45 - option A
If a person with a height of 58 inches takes 2,601 steps per mile, a person with a height of 64 inches takes 2,357 steps per mile, and a person with a height of 76 inches takes 1,985 steps per mile, what is the average number of steps of three 58-inch people, five 64-inch people, and two 76-inch people. Afterwards, find the weighted average number of steps. How does the average compare with the weighted average? Which value is a more accurate representation of the data?
Answers
Answer:
1. Average Number of Steps of
= Total of the different steps / divided by 3
= 6,943/3
= 2,314.3 steps
2. Weighted Average Number of Steps of 3, 58-inch, 5, 64-inc, and 2, 76-inch people
= Total steps by the 10 people divided by 10
= 23,558/10
= 2,355.8 steps
3. The difference is not much.
4. The weighted average (2,355.8 steps) is a more accurate representation of the data. The calculation of the ordinary average steps is more confusing than the weighted average steps.
Step-by-step explanation:
1. Calculation of the Weighted Average Number of Steps of:
3, 58-inch people = 3 x 2,601 = 7,803
5, 64-inch people = 5 x 2,357 = 11,785
2, 76-inch people = 2 x 1,985 = 3,970
10 persons' total steps = 23,558
2. Calculation of the ordinary average:
58-inch people = 2,601
64-inch people = 2,357
76-inch people = 1,985
Total steps 6,943
What is 2 to the power of 3?
Answers
Answer:
8
Step-by-step explanation:
2 to the power of 3 is 2x2x2
In the following diagram, ABCDABCD is a square. The coordinates of the vertices A,B,CA,B,C and DD are (3,3),(8,3),(8,8)(3,3),(8,3),(8,8) and (3,8)(3,8) respectively.
The square is dilated from the origin by a factor of 1111 to give A′B′C′D′A′B′C′D′.
What are the coordinates of point C′C′? (NEED THIS ASAP)
Answers
Answer:
Step-by-step explanation:
To dilate the square by a factor of 1111 from the origin, we need to multiply each coordinate by 1111.
The coordinates of point C are (8,8). So, to find the coordinates of point C' after dilation, we can simply multiply each coordinate by 1111:
x-coordinate of C' = 1111 * 8 = 8888
y-coordinate of C' = 1111 * 8 = 8888
Therefore, the coordinates of point C' are (8888, 8888).
Using the following data, calculate the median.
22, 22, 18, 18
Answers
Answer:
20
Step-by-step explanation:
To find the median, first, arrange the numbers from smallest to greatest. We have 18, 18, 22, 22. Next, find the number in the center. In this case, there are two numbers in the middle and it doesn't easily fall under one number. In this case, find the average of the two numbers. We have (18+22)/2 = 20. Therefore, the median of 18, 18, 22, 22 is 20.
What is the interest earned on a principal of $250 at 3% interest for 9 years
Answers
Answer: $67.50
Step-by-step explanation:
This question is asking for the amount of interest earned so let's write out the formula.
\(I=Prt\)
Where:
I is the amount of interest
P is the principal amount ($250)
r is the interest rate (3% or 0.03)
and t is the time (9 years)
Sub in our values into the equation and solve
\(I=(250)(0.03)(9)\\I=(7.5)(9)\\I=67.50\)