The cylinders are similar. The volume of the larger cylinder is 9648 cubic inches. What is the volume of the smaller cylinder?
Answers
The volume formula of a cylinder is:
V = [tex] \pi [/tex]r²h
The volume of the larger volume is given to be 9648³ and the height is 18 in
We need to find the radius first
9648 = [tex] \pi [/tex]r²(18)
[tex] \frac{9648}{18} [/tex] = [tex] \pi [/tex]r²
536 = [tex] \pi [/tex]r²
[tex] \frac{536}{ \pi} [/tex] = r²
[tex] \sqrt{ \frac{536}{ \pi } } [/tex] = r
r ≈ 13.06
The ratio of the big cylinder to small cylinder is:
18 : 9 (given height)
So the big cylinder is 2 times bigger than the small cylinder
Therefore the radius of the big cylinder is as well 2 times bigger
[tex] \frac{13.06}{2} = r [/tex]
r ≈ 6.53 ( the radius of the small radius )
V (of small cylinder) = [tex] \pi [/tex](6.53)²(9)
= 1206 in³
Related Questions
While standing on a roof, you drop a hamner. The function y=16-64t^2 represents the height y (in feet) of the hammer t seconds after it is dropped. After how many seconds does the hammer land on the ground?
Answers
Just want to know if this is right...
Answers
The answer is 7.
4(7)+15(7)+3+7(7)-5=180
28 + 108 + 45 = 180.
If we plug in 22.5, it will equal 583 not 180.
we will get
choose the most appropriate strategy and then use it to solve the quadratic equation.
7. (x-8)^2=121
8. 2a^2=8a-6
9. x^2+12x+36=4
10. x^2-x+30=0
Answers
(x-8) ^ 2 = 121
(x-8) = + / - root (121)
x = 8 +/- root (121)
The solutions are:
x1 = 8 + root (121)
x2 = 8 - root (121)
2a ^ 2 = 8a-6
2a ^ 2-8a + 6 = 0
a ^ 2-4a + 3 = 0
(a-1) (a-3) = 0
The solutions are:
a1 = 1
a2 = 3
x ^ 2 + 12x + 36 = 4
x ^ 2 + 12x + 36-4 = 0
x ^ 2 + 12x + 32 = 0
(x + 4) (x + 8) = 0
The solutions are:
x1 = -8
x2 = -4
x ^ 2-x + 30 = 0
x = (- b +/- root (b ^ 2 - 4 * a * c)) / 2 * a
x = (- (- 1) +/- root ((- 1) ^ 2 - 4 * (1) * (30))) / 2 * (1)
x = (1 +/- root (1 - 120))) / 2
x = (1 +/- root (-119))) / 2
x = (1 +/- root (119) * i)) / 2
The solutions are:
x1 = (1 + root (119) * i)) / 2
x2 = (1 - root (119) * i)) / 2
The figure is the net for a rectangular prism.
What is the surface area of the rectangular prism represented by the net?
Answers
4×11, 4×5, and 11×5 are the three different areas shown. There are two of each, so 44×2, 20×2, and 55×2. 88+40+110=238 square mm.
238 square mm is the surface area.
Answer:
oupuouououuou
Step-by-step explanation:
How many ways can u write 5 to the power of 8 as a quotient of two exponential terms?
Answers
The answer is "4 ways".
Reason:
You can write it these ways:
= 5^12 / 5^4
= 5^9 / 5
= 5^10 / 5^2
= 5^15 / 5^ 7
Therefore you can write it 4 different ways....
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
Help!! So confused!
Dante is making a necklace with 18 rows of tiny beads in which the number of beads per row is given by the series 3 + 10 + 17 + 24 + ...
a. Use summation notation to write the series. Explain what the numbers in the summation notation represent in this situation and how you found the expression used in the summation.
b. Find the total number of beads in the necklace. Explain your method for finding the total number of beads.
Answers
The notation of A.P is a, a+d, a+2d.....
The summation notation is â‘
In this series a=3, d=7
Then the summation of A.P is â‘ = n/2(2a+(n-1)d)
=18/2(2*3+ (18-1)7)
= 9(6+17(7))
=9(6+119)
=9(125)
= 1125
Hence the total number of beads is 1125
A rectangle has a length of 7.2 cm and a height of 5 cm. what is the area and perimeter of the rectangle
Answers
Perimeter: 24.4 cm
How is this high school math?
Which statement is logically equivalent to the following conditional statement?
If it is a rectangle, then it does not have three sides.
Answers
If it is not a rectangle, then it has three sides.
If it has three sides, then it is not a rectangle.
If it does not have three sides, then it is a rectangle.
If it is not a rectangle, then it does not have three sides.,
Answers
Find the AGI and taxable income:
Gross Income $30,856
Adjustments $750
1 Exemption $8200
Deduction $2,300
$31,200 and $20,601
$30106 and $19,606
$29,586 and $18,505
$28,863 and $17,636
1 points
QUESTION 5
Find the AGI and taxable income.
Gross Income $67,890
Adjustments $0
3 Exemptions $24,600
Deduction $1469
$69,440 and $45,300
$68,990 and $42,831
$67,890 and $41,821
$65,551 and $44,821
1 points
QUESTION 6
Find the AGI and taxable income.
Gross income $19,723
Adjustments $255
1 Exemption $8200
Deduction $1430
$19,4
Answers
1. Find the AGI and taxable income: Gross Income $30,856 Adjustments $750 1 Exemption $8200 Deduction $2,300
AGI: $31,200 and $20,601 $30106 --- ANSWER: 30,106 (30,856-750)
Taxable Income: $19,606 $29,586 and $18,505 $28,863 and $17,636 1 points--- ANSWER 19,606
2. QUESTION 5 Find the AGI and taxable income. Gross Income $67,890
Adjustments $0 3 Exemptions $24,600 Deduction $1469
AGI: $69,440 and $45,300 $68,990 and $42,831 $67,890 --- ANSWER:
67,890
Taxable Income: $41,821 $65,551 and $44,821 1 points --- ANSWER: 41,821 (67,890-24,600-1,469)
3. QUESTION 6 Find the AGI and taxable income. Gross income $19,723 Adjustments $255 1 Exemption $8200 Deduction $1430 $19,4
AGI: 19,468 (19,723-255)
Taxable Income: 9,838 (19,468-8,200-1,430)
Goodluck! If you need anything else feel free to reach out to me directly. Not sure if you can I'm fairly new to this.
-Mike
This explanation provides a step-by-step process for figuring out adjusted gross income (AGI) and taxable income, based on given values for gross income, adjustments, exemptions, and deductions in three examples.
Explanation:In context of tax calculations, your adjusted gross income (AGI) is calculated by taking your gross income and subtracting any adjustments. Taxable income is calculated by subtracting exemptions and deductions from your AGI.
Example 1:Gross Income: $30,856 minus Adjustments: $750 equals AGI: $30,106. Then, AGI: $30,106 minus Exemptions: $8,200 minus Deductions: $2,300 equals Taxable Income: $19,606.Example 2:Gross Income: $67,890 has no Adjustments. Hence, its AGI is $67,890. Then, AGI: $67,890 minus Exemptions: $24,600 minus Deductions: $1,469 equals Taxable Income: $41,821.Example 3:Gross Income: $19,723 minus Adjustments: $255 equals AGI: $19,468. Then, AGI: $19,468 minus Exemptions: $8,200 minus Deductions: $1,430 equals Taxable Income: $9,838. Learn more about Tax Calculation here:https://brainly.com/question/34140086
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a forest ranger spots a fire on a 28 foot tower,the angle of depression from the tower to the fire is 11 degrees to the nearest foot how far is the fire from the base of the tower show the steps you use to find the solution
running short on time to turn this answer in plz help
Answers
use the trigonometric function which is tangent
tangent is equal to opposite/hypotenuse
the angle is 11 degrees
28 foot will be your opposite
your hypotenuse is the missing
tan(11 degrees)=28 foot/ hypotenuse
hypotenuse= [28 foot/ (tan 11 degrees)]
hypotenuse = 98.8 feet
Algebra 2 help please? And explanation too. Thanks!
5. Solve the logarithmic equation. Round to the nearest ten-thousandth if necessary.
2 log 4 – log 3 + 2 log x – 4 = 0
(1 point)
12.3308
43.3013
86.6025
1,875,
Answers
please help!! Assume the given triangular prism and rectangular prism have equal cross sections. Also assume the length and width of the rectangular prism's cross section are equal. If the volume of the triangular prism is V = 50h, then what is the length of the rectangular prism?
Answers
of v=100
Answer:
5 square root 2
Step-by-step explanation:
The front row in a movie theater has 23 seats. If you were asked to sit in the seat the occupied the median position, in which seat would you have to sit?
Answers
Below is a piece of a local pizza place menu where Jacob works.
Large Cheese Pizza $14.85
Large Supreme Pizza $16.90
Cheese Sticks $5.99
Dessert Pizza $6.99
4. The largest order last Saturday was from a basketball team that ordered 5 large supreme pizzas, 5 large cheese pizzas, 5 orders of cheese sticks and 5 dessert pizzas. Jacob said the total was about $225. Is this reasonable? Justify your response using estimation. If the answer is not reasonable, identify the error and then calculate the correct solution.
Answers
Jacob's estimate of $225 for the basketball team's order is reasonable. Our calculations show a total estimated cost of $223.75, which is close to Jacob's estimate.
To determine if Jacob's estimated total of $225 for the basketball team's order is reasonable, we can perform a quick estimation.
First, let's list the items ordered:
5 large supreme pizzas at $16.90 each5 large cheese pizzas at $14.85 each5 orders of cheese sticks at $5.99 each5 dessert pizzas at $6.99 eachNext, we will estimate the total cost for each category:
5 large supreme pizzas: $16.90 x 5 = approximately $84.505 large cheese pizzas: $14.85 x 5 = approximately $74.255 cheese sticks: $5.99 x 5 = approximately $305 dessert pizzas: $6.99 x 5 = approximately $35Now, summing these estimates: $84.50 + $74.25 + $30 + $35 = $223.75
Thus, Jacob's estimate of about $225 is reasonable, as our estimation shows a total of $223.75, which is close to his figure.
I need to know how to do this, plz explain-Which function grows at the fastest rate for increasing values of x?
h(x)=2x
f(x)=4x2+9x
g(x)=18x
Answers
.. h(x) = 2^x
it will be the one that grows the fastest. The exponential function with the largest base value will grow faster than any polynomial.
Answer: f(x)=4x2+9x
Step-by-step explanation:
Which algebraic expression represents this phrase? the product of 86 and the depth of the river
Answers
86d
An algebraic expression is a mathematical phrase that contains numbers, variables (like x or y) and operators (like add,subtract,multiply, and divide).
We have to form the algebraic expression for the phrase
" The product of 86 and the depth of the river"
Let the depth of the river be 'd'
Therefore, the algebraic expression = Product of '86' and 'd'
= [tex] 86 \times d [/tex]
= 86d.
Therefore, the algebraic expression for the given phrase is "86d".
How do I graph (x−4)(x+2)
Answers
x^2 + 2x - 4x - 8
x^2 - 2x - 8
Let y = x^2 - 2x - 8
It is a parabola.
Take it from here.
Sandra bought 120 square feet of carpet for a room in her new house. If the room is square, what is the length of each side of the room? Recall that the area of square is calculated by I square root 2, where I is the length of one side
Answers
Quadrilateral RSTU has vertices R (-3, 1) , S (-2, 3) , T (2, 3) , and U (3, 1). If you translate the quadrilateral four units down, what are the vertices of R'S'T'U'?
R' (-3, -3) , S' (-2, -1) , T '(2, -1) , and U' (3, -3)
R' (1, 1) , S' (2, 3) , T '(6, 3) , and U '(7, 1)
R' (-7, 1) , S' (-6, 3) , T '(-2, 3) , and U '(-1, 1)
R (-3, 3) , S (-2, 1) , T (2, 1) , and U (3, 3)
@Squirrels @tkhunny,
Answers
First option
Explanation:
Translating a point four units downwards means that:
the x-coordinate would stay the same
the y coordinate will be decreased by 4
Now, for the given points:
Point R (-3,1)
x coordinate o R' = x coordinate of R = -3
y cordinate of R' = y coordinate of R - 4 = 1 - 4 = -3
R' is (-3 , -3)
Point S (-2,3)
x coordinate of S' = x coordinate of S = -2
y coordinate of S' = y coordinate of S - 4 = 3 - 4 = -1
S' is (-2 , -1)
Point T (2,3)
x coordinate of T' = x coordinate of T = 2
y coordinate of T' = y coordinate of T - 4 = 3 - 4 = -1
T' is (2 , -1)
Point U (3,1)
x coordinate of U' = x coordinate of U = 3
y coordinate of U' = y coordinate of U - 4 = 1 - 4 = -3
U' is (3 , -3)
Comparing the calculated values with the given ones, we will find that the correct choice is the first one.
Hope this helps :)
Answer:
The correct option is 1.
Step-by-step explanation:
The vertices of quadrilateral RSTU are R (-3, 1) , S (-2, 3) , T (2, 3) , and U (3, 1).
It is given that quadrilateral RSTU translate four units down to get R'S'T'U'.
The relation between the vertices of RSTU and R'S'T'U' is
[tex](x,y)\rightarrow (x,y-4)[/tex]
The vertices of R'S'T'U' are
[tex]R(-3,1)\rightarrow R'(-3,1-4)=R'(-3,-3)[/tex]
[tex]S(-2,3)\rightarrow S'(-2,3-4)=S'(-2,-1)[/tex]
[tex]T(2,3)\rightarrow T'(2,3-4)=T'(2,-1)[/tex]
[tex]U(3,1)\rightarrow U'(3,1-4)=R'(3,-3)[/tex]
The vertices of R'S'T'U' are R' (-3, -3) , S' (-2, -1) , T '(2, -1) , and U' (3, -3).
Therefore the correct option is 1.
The vertices of quadrilateral abcd are a(1, a - 3), b(10, a), c(9, a + 3) and d(0, a).prove that the quadrilateral is a rectangle.find the midpoints of the diagonals.the midpoint of ac is (5,1)the midpoint of bd is (5,1)find the lengths of the diagonals.
Answers
Answer with explanation:
The Vertices of quadrilateral A B CD, are A(1, a - 3), B(10, a), C(9, a + 3) and D(0, a).
Mid point of AC= (5,1)
Mid point of B D= (5,1)
Mid point formula of two points having coordinates , (a,b) and (c,d) is , if (x,y), then
[tex]x=\frac{a+b}{2},y=\frac{c+d}{2}[/tex]
[tex]So,\rightarrow \frac{a-3+a+3}{2}=1\\\\\rightarrow \frac{2a}{2}=1\\\\\rightarrow a=1[/tex]
So, the coordinates of vertices of quadrilateral A B CD, are A(1, -2), B(10, 1), C(9, 4) and D(0, 1).
Distance formula of two points having coordinates, (a,b) and (c,d) is,
[tex]=\sqrt{(a-c)^2+(b-d)^2}[/tex]
[tex]AB=\sqrt{(10-1)^2+(1+2)^2}=\sqrt{81+9}=\sqrt{90}=3\sqrt{10}\\\\BC=\sqrt{(10-9)^2+(1-4)^2}\\\\=\sqrt{1+9}\\\\=\sqrt{10}\\\\CD=\sqrt{(9-0)^2+(3-0)^2}=\sqrt{90}=3\sqrt{10}\\\\DA=\sqrt{(1-0)^2+(1+2)^2}=\sqrt{10}\\\\AC=\sqrt{(9-1)^2+(4+2)^2}=\sqrt{64+36}\\\\AC=\sqrt{100}\\\\AC=10\\\\BD=\sqrt{(10-0)^2+(1-1)^2}\\\\BD=10[/tex]
Opposite sides AB and CD are equal to 3√10 unit and , BC and AD are equal to √10 unit.
Also,length of Diagonals , AC=B D=10 unit.
∴ The Quadrilateral, AB CD is a Rectangle.
BRAINLIESTTTTT ASAP!!!
Write x^2 − 2x − 3 = 0 in the form (x − a)^2 = b, where a and b are integers.
(x − 4)^2 = 3
(x − 3)^2 = 2
(x − 2)^2 = 1
(x − 1)^2 = 4
Answers
(x^2 - 2x + ) - 3 - = 0
(x^2 - 2x + 1) - 3 - 1 = 0
(x - 1)^2 - 4 = 0
(x - 1)^2 = 4
The sec 205° is ____
●A negative value
●A positive value
●0
Answers
The value of sec 205° is a negative value.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
The value of sec 205°.
In the coordinate system, ∠205° lies in the 3rd quadrant.
In third quadrant, only tanθ and cotθ are positive.
So, sec 205° is negative in third quadrant.
Hence we can conclude that the value of sec 205° is negative value.
Learn more about trigonometry here
https://brainly.com/question/16965914
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DE has endpoints D 0, 3 and E 0, 12 find the length of DE to the nearest tenth
Answers
Answer: The length of side DE is 9 units.
Step-by-step explanation: Given that the co-ordinates of the end-points of DE are D(0, 3) and E(0, 12).
We are to find the length RT of the polygon.
We know that
the length of a line segment with endpoints P(a, b) and Q(c, d) is equal to the distance between the points P and Q.
By distance formula, the distance between P(a, b) and Q(c, d) is
[tex]D=\sqrt{(c-a)^2+(d-b)^2}.[/tex]
So, the distance between D(0, 3) and E(0, 12) is given by
[tex]DE=\sqrt{(0-0)^2+(12-3)^2}=\sqrt{9^2}=9.[/tex]
Thus, the required length of DE is 9 units.
A manufacturer uses a mold to make a part in the shape of a triangular prism. The dimensions of this part are shown below.
Which estimate is closest to the volume in cubic millimeters of the part?
(1 point)
• 306
• 768
• 1,008
• 2,016
Answers
we know that
[volume of a triangular prism]=[area triangular base]*[length]
[volume of a triangular prism]=[(14.4*2.1)/2]*8.25
[volume of a triangular prism]=124.74 mm³
the answer is 306
How many roations does a wheel make if diameter is 5 feet after 600 feet?
Answers
C=2 pi r=d*3.14=5*3.14=15.70 ft
rotations= 600/15.70=38.22
PLEASE HELP ASSAAAAPPPPP
Answers
1.The ordered pair ( 1, 2 ) lies in which quadrant?
Quadrant I
Quadrant IV
Quadrant II
Quadrant III
2.Find the difference. 86 - ( -17 )
69
-69
103
-103
3.Simplify the expression 14 · 2 ÷ 7.
-4
-1
0
4
4.Write a variable expression for the word phrase, "five less than a number m".
M + 5
5 - m
M - 5
5 ÷ m
5.Identity the expression as a numerical expression or a variable expression. 50x
Numerical expression
Variable expression
6. the set of whole numbers and their opposites are known as ________.
Absolute Values
Positive numbers
Integers
Negative numbers
7.Use <, >, or = to complete the statement. -55 ____ -56
Evaluate 4( 6 ) + 7(5 - 3).
118
80
10
38
Find the -5 + (-6).
-11
-1
1
11
Answers
2. 103
3. 4
4. m - 5
5. variable expression (80% sure)
6. Integers
7. Greater than
8. 38
9. -11
PLEASE HELP!! I do not understand this. And can you explain it for me when I use it again?
1. A rectangular prism is defined as the drawing shows. Note B at (0, 5, 0) and F (0, 0, 4). The prism is reflected over the xz-plane. The reflected image is then translated 2 units back, 3 units left, and 1 unit up.
a.) Show the results of your calculations for points A, B, C and D from the reflection.
b.) Show the results of your calculations for points A, B, C and D from the translation.
Here is the image- https://us-static.z-dn.net/files/d78/3d779b3d254fe859e35a544af4257d2f.png
Answers
A(0,0,0)
B(0,5,0)
C(3,5,0)
D(3,0,0)
E(3,0,4)
F(0,0,4)
G(0,5,4)
H(3,5,4)
a.) When we reflect over xz plane x and z coordinates stay same, y coordinate changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.
A(0,0,0)
Reflecting
A(0,0,0)
B(0,5,0)
Reflecting
B(0,-5,0)
C(3,5,0)
Reflecting
C(3,-5,0)
D(3,0,0)
Reflecting
D(3,0,0)
b.)
A(0,0,0)
Moving
A(-2,-3,1)
B(0,-5,0)
Moving
B(-2,-8,1)
C(3,-5,0)
Moving
C(1,-8,1)
D(3,0,0)
Moving
D(1,-3,1)
The area of this circle is 42π m².
What is the area of a 60º sector of this circle?
6π m²
7π m²
14π m²
21π m²
Answers
1/6th of 42π m² is 7π m², so answer B.
Using proportions, it is found that the area of a 60º sector of this circle is of [tex]7\pi[/tex] m².
Proportions:This question is solved by proportions, using a rule of three.An entire circle is of 360º, which has an area of [tex]42 \pi[/tex] m²? Which is the area equivalent to a sector of 60º?The rule of three is:
360º - [tex]42 \pi[/tex] m²
60º - x m²
Applying cross multiplication:
[tex]360x = 60 \times 42\pi[/tex]
[tex]x = \frac{60 \times 42\pi}{360}[/tex]
[tex]x = 7\pi[/tex]
The area of a 60º sector of this circle is of [tex]7\pi[/tex] m².
To learn more about proportions, you can take a look at https://brainly.com/question/24372153
1. Find all the real square roots of 0.0064. (1 point)
0.25298 and –0.25298
0.0253 and –0.0253
0.08 and –0.08
0.0032 and –0.0032
2. Find the real-number root.
(1 point)
–0.605
1.1
–1.1
no real number root
Answers
In order to find the square root of 0.0064, you need to think the number without the comma, in your case then 64. The square root of 64 is 8 (indeed 8x8=64).
You know need to decide how many decimals your root needs to have: since the given number had 4 decimals, you have to halve, therefore your root will have 2 decimal: 0.08
The square roots you are looking for are +0.08 and -0.08
2) To find the real-number root means to find the number that gives you real roots if square rooted. Since negative numbers give you imaginary numbers if square rooted, your answer has to be 1.1, the only positive number.