This cylinder is 6 inches tall & has a volume of 60πin^3. Find the area of the cross section
Answers
Given:
Height of cylinder = 6 inches
Volume of cylinder = 60π in³
To find:
The area of the cross section.
Solution:
Volume of cylinder:
[tex]V=\pi r^2h[/tex]
[tex]\pi r^2h=60\pi[/tex]
Cancel the common factor π on both sides.
[tex]r^2h=60[/tex]
Substitute h = 6.
[tex]r^2\times 6=60[/tex]
Divide by 6 on both sides, we get
[tex]r^2=10[/tex]
Taking square root on both sides.
[tex]r=\sqrt{10}[/tex] inch
Area of cross section = [tex]\pi r^2[/tex]
[tex]=\pi (\sqrt{10} )^2[/tex]
[tex]=10 \pi[/tex] in²
The area of the cross section is 10π in².
Related Questions
Two brownies are shared equally among three friends. How much brownie will each person get? *
Answers
Two brownies among three friends.
3/2 is 1.5
So 1.5 for the first friend, 1.5 for another friend, and 1.5 for the other friend.
Part of the population of 5,250 elk at a wildlife preserve is infected with a parasite. A random sample of 50
elk shows that 6 of them are infected. How many elk are likely to be infected?
Based on the sample, there will likely be
————- infected
in the wildlife preserve.
Answers
Answer:
720 elk I think (sorry if wrong)
The graph shown is a translation of the graph of f(x) = x². Write the function in
vertex form
F(x) =
Answers
Answer:
plz insert the graph, ill revise my answer
Step-by-step explanation:
What is the volume of a cone (in cubic inches) with a radius of 6 inches and a height of 3 inches? Use 3.14 for π. Round your answer to the nearest hundredth.
Answers
Answer:
113.04 cubic inches
Step-by-step explanation:
V=π * r^2 *(h/3)
V= 3.14 * 36 * (3/3)
V = 3.14 * 36 * 1 = 113.04
Answer:
25.12
Step-by-step explanation:
Select the two pairs of values that give the expression a value of 6.
2a + b - 10
Answers
Answer:
2a + b = 16
Step-by-step explanation:
You can write it as an equation and get:
2a+b-10=6
Simplify and you can get:
2a + b = 16
Any pair of values that satisfies this equation is correct.
A weight is suspended from a spring and allowed to hang at its rest position. It is then pulled down 2 in, released, and allowed to oscillate up and down. Its location (in inches) relative to its rest position is given by the function f(t)=2sin(2.5t - pi/2), where t is the time in seconds. How much time will it take for the weight to move through one complete cycle of motion? A.) 2.5 seconds B.) 3.1 seconds C.) 3.8 seconds D.) 5.0 seconds
Answers
Write 10 x 10 x 10 x 10 x 10 as a number without exponents. A) 500 B) 5,000 C) 100,000 D) 500,000
Answers
Answer:
Step-by-step explanation:
It would be C) 100,000
An easy way to remember this, is if your multiplying numbers that end in zero; you simply multiply the number in their 10th place together or hundredths (and so on). Then add the numbers you have in the numbers you multiplied, but it only works if both numbers have 0's and the 0's are at the end.
Ex. 60 x 50+ n
6x5=30
3,000
You are going to use an incline plane to lift a heavy object to the top of a shelving unit with a height of 6 ft. The base of the incline plane is 10 ft from the shelving unit. What is the length of the incline plane?
Answers
To determine the length of an inclined plane given the height (6 ft) and base (10 ft), use the Pythagorean theorem, which reveals that the length of the inclined plane is approximately 11.66 feet.
Explanation:The student is asking about the length of an inclined plane when given the height and the base of the incline. To find the length of the inclined plane, we can use the Pythagorean theorem because the height, base, and the length of the incline form a right triangle.
The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, the hypotenuse is the length of the incline, the vertical side is the height of the shelving unit (6 ft), and the horizontal side is the base of the incline (10 ft).
The formula is: length of the incline2 = height2 + base2. Plugging in the numbers, we get: length of the incline2 = 62 + 102, which simplifies to length of the incline2 = 36 + 100. The square root of 136 gives us the length of the incline, which is approximately 11.66 feet.
(65 POINTS AND BRAINLYEST)
What is 5^3in expanded form?
Question 1 options:
5+5+5
3+3+3
5x5x5
3x3x3
Question 2 (1 point)
4^2 = 8
True
False
Question 3
−3^2 = (−3)^2
True
False
Answers
Answer:
1) 5×5×5
2) False
3) False
Step-by-step explanation:
5³ basically means 5 is multiplied thrice, i.e
5 × 5 × 5
4² = 4×4 = 16
4² is 16, not 8
(-3)² = -3 × -3 = 9
-(3)² = -9
Answer:
5×5×5
False
False
The tree diagram shows Pam's choices for her appetizer and meal at a restaurant How many choices include chicken?
A) 1
B) 2
C) 3
D) 4
Answers
There are 4 choices that include chicken
8 cm
Find the area of the figure. Round
your answer to the nearest
hundredth.
Answers
Answer:
128
Step-by-step explanation:
(22 points and brainlyest)
Why is Gandalf able to save the dwarves from the trolls in The Hobbit?
because he cleverly confuses the trolls until dawn
because he immediately disguises himself as a Warg
because he magically casts a sleeping spell on them
because he was once a troll himself
Answers
Answer:
because he cleverly confuses the trolls until dawn
Gandalf was able to save the dwarves from the trolls in The Hobbit because he cleverly confuses the trolls until dawn.
From the story, it should be noted that the dwarves will have been killed by the trolls if not for the help of Gandalf.This wasn't because he magically casts a sleeping spell on them but rather because he cleverly confuses the trolls until dawn. Then, after confusing them, the dwarves escaped.Read related link on:
https://brainly.com/question/16052318
Find the circumference of both circles.
Answers
Answer:
you need to add a photo
Step-by-step explanation:
Answer:
Where are the circles?
Step-by-step explanation:
To find the circumference of the circle you can do 2 times pi times the radius of the circle, or you can change the radius to the diameter and do pi times the diameter of the circle. Hope this helps!
HELP PLEASEEEEEEEEEEEE
Answers
Answer:
Just a tip that you can use apps on the computer called Math-way and Math papa for free (Sorry i wasn't able to answer but I tried my best) Hope This helps!
Step-by-step explanation:
4.
In Texas, sales tax is 8 cents for every dollar spent. How much will you
owe in sales tax if you buy an item worth $100?
Answers
Answer:
It will be $8
Step-by-step explanation:
100x0.08=8
100+8=108
Answer:
$8
Step-by-step explanation:
we mulitiply $0.08 by our money spent,
$0.08X$100
=$8 in sales tax.
I need help with this question please I’ll mark as brainliest
Answers
Answer:
C
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (8, - 14), thus
y = a(x - 8)² - 14
To find a substitute (5, 13) into the equation
13 = a(5 - 8)² - 14
13 = a(- 3)² - 14
13 = 9a - 14 ( add 14 to both sides )
27 = 9a ( divide both sides by 9 )
a = 3
Thus
y = 3(x - 8)² - 14 → C
Can somebody help me with the next question
Answers
Yep, sure. Which question?
The sum of -4 and 5 times a number is multiplied by 3. The result is 212 less than 7 times the number. What is the number?
Answers
Answer:
104
Step-by-step explanation:
First, put the word equation into a numerical equation.
-4+5x=7x-212 This is our equation
-4=2x-212 I subtracted 5x from both sides
208=2x I added 212 to both sides
104=x I divided both sides by 2
To solve the problem, we can set up an equation and solve for the variable 'x'. The number is x = -25.
Explanation:To solve this problem, we can translate the given information into an equation. Let's assume the number is 'x'. The sum of -4 and 5 times 'x' is -4 + 5x. The equation becomes 3(-4 + 5x) = 7x - 212. We can simplify this equation and solve for 'x' to find the number.
First, distribute the 3 to -4 and 5x, which gives us -12 + 15x = 7x - 212. Then, combine like terms by subtracting 7x from both sides, which gives us -12 + 8x = -212. Next, add 12 to both sides to isolate the variable, resulting in 8x = -200. Finally, divide both sides by 8 to solve for 'x'. The number is x = -25.
Learn more about Solving equations here:https://brainly.com/question/18322830
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What is the probability of rolling a number greater than 4 on a fair number cube (dice)? (Simplify to lowest terms)
Answers
Answer:
1/3
Step-by-step explanation:
there are 2 numbers greater than 4 on dice and there are 6 numbers on a die
A cylinder has a base radius of 6 inches and a height of 14 inches. What is its volume
in cubic inches, to the nearest tenths place?
Answers
Final answer:
The volume of the cylinder is 1580.64 cubic inches.
Explanation:
To find the volume of a cylinder, we can use the formula V = πr²h, where V is the volume, r is the radius of the base, and h is the height.
In this case, the radius, r, is 6 inches and the height, h, is 14 inches.
So, the volume is calculated as follows:
V = π(6²)(14) = 3.14(36)(14) = 1580.64 cubic inches.
someone anyone please help me
Answers
Answer:
I am not answering that lol
Step-by-step explanation:
The sum of three consecutive numbers is 42. What are the three numbers?
Answers
Answer:
13,14,15
Step-by-step explanation:
Let x be the first number
x+1 is the second number
x+2 = third number
x+ x+1 +x+2 = 42
Combine like terms
3x+3 =42
Subtract 3 from each side
3x+3-3 = 42-3
3x = 39
Divide each side by 3
3x/3 = 39/3
x = 13
The numbers are 13
13+1 =14
13+2 = 15
Answer:
13,14,15
Step-by-step explanation:
What three consecutive integers have a sum of 42? Which means that the first number is 13, the second number is 13 + 1 and the third number is 13 + 2. Therefore, three consecutive integers that add up to 42 are 13, 14, and 15.
The table below represents a breakdown of food costs for Esther, a traveling
nurse. On average, how much does she spend on dinner?
Breakfast
Lunch
Dinner
Mon.
$7 88
$13.41
$18.80
Tue.
$12.02
$11.79
$22. 13
Wed.
$9.64
$14.55
$20 79
Thurs
$6.98
$16.09
$24.82
Fri.
$13 30
$10.76
$16.74
O
A. $20.66
O
B. $12.56
O
C. $10.09
D. $9.96
Answers
Answer:
d. 9.96
Step-by-step explanation:
Trust me, I kept googling this for almost an hour.
The Average of the Dinner is 20.66.
What is Average?In mathematics, the middle value—which is determined by dividing the sum of all the values by the total number of values—is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.
The data for dinner is:
18.8, 22.13, 20.79, 24.82, 16.74
The Average of the Dinner is
= ( sum of all data for dinner)/ Total Number of Dinner
As, sum of all data for dinner = (18.8 + 22.13 + 20.79 + 24.82 + 16.74)
=103.28
and, Total Number of Dinner = 5
Now put the values we get
= (18.8 + 22.13 + 20.79 + 24.82 + 16.74) / 5
= 103.28/ 5
= 20.656
= 20.66
Thus, the average of the dinner is 20.66
Learn more about Average here:
https://brainly.com/question/16956746
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Given that
5x:8=7:2
Calculate the value of x
Answers
Answer: 5.6
Step-by-step explanation:
5x:8=7:2
Ratio means division
So we can rewrite as
5x/8=7/2
Using cross multiply
5x×2=7×8
10x=7×8
10x=56
X=56/10
X=5.6
The value of X= 5.6
Answer:
x = 5.6
Step-by-step explanation:
Expressing the ratio in fractional form, that is
[tex]\frac{5x}{8}[/tex] = [tex]\frac{7}{2}[/tex] ( cross- multiply )
10x = 56 ( divide both sides by 10 )
x = 5.6
Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each side to answer the question.
Which statement about triangle QRS is true?
Triangle QRS is an equilateral triangle because QR = RS.
Triangle QRS is an isosceles triangle because QR = QS.
Triangle QRS is a scalene triangle because all sides have different lengths.
Triangle QRS is an isosceles triangle because QR = RS.
Answers
Answer:
Triangle QRS is an isosceles triangle because QR = RS.
Step-by-step explanation:
option D for Edgu hope this helps :)
The length of the given triangle: [tex]QR = 6.003, QS = 8.218, RS = 6.003[/tex].
The given triangle QRS is an isosceles triangle because [tex]QR = RS[/tex].
What is an isosceles triangle?An isosceles triangle is a triangle that has two equal sides.
In the given triangle, the length of the sides are as follows:
[tex]QR = \sqrt{9 + 27.04} = \sqrt{36.04} = 6.003[/tex]
[tex]QS = \sqrt{64 + 3.53} = \sqrt{67.53} = 8.218[/tex]
[tex]RS = \sqrt{25 + 11.04} = \sqrt{36.04} = 6.003[/tex]
(Negative values are not taken)
In the given triangle, [tex]QR = RS[/tex].
Therefore, the given triangle QRS is an isosceles triangle.
Learn more about an isosceles triangle here: https://brainly.com/question/18329167
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Use the graph to identify the amplitude for each
function shown.
The amplitude of the function shown in orange is
The amplitude of the function shown in blue is
The amplitude of the function shown in green is
Answers
Answer:
6
4
3
Step-by-step explanation:
Answer:
Use the graph to identify the amplitude for each function shown.
The amplitude of the function shown in orange is
✔ 6
.
The amplitude of the function shown in blue is
✔ 4
.
The amplitude of the function shown in green is
✔ 3
.
Step-by-step explanation:
This from my answers.
What’s the answer????
Answers
Answer:
it would be 20 hope this helps
Can someone help me PLS :)
The graph of an exponential function is shown below.
Which of the following is not true about the graph?
A. The y-intercept is 3.
B. The asymptote is y = 0.
C. The graph represents exponential growth.
D. The initial value of the function is 3.
Answers
Answer:
C
Step-by-step explanation:
The graph in this case represents exponential decline.
A robot that makes __/8 of a boat per day will make 7 boats in 8 days
Answers
Answer:
7/8
Step-by-step explanation:
7 represents the # of boats
Answer:
7/8 of a boat
Step-by-step explanation:
Because 7/8*8= 7 boats
Please solve this I am sooo confused help meeeee please please please. I will give you 15 points.
Solve the system of the equations:
a.)
3(x+y)−7=12x+y
6(y−2x)−1=−45x
b.)
5(x+2y)−3=3x+5
4(x−3y)−50=−33y
c.)
4x+1=5(x−3y)−6
3(x+6y)+4=9y+19
Answers
Answer:
the answer is a
Step-by-step explanation:
Answer:
a. x=-1/3 y=2
b. x=-166 y=34
c. x=16/3 y=-1/9
Step-by-step explanation: