32 pi square meters (sorry if it is wrong)
The area base of the cylinder is 32π square meters which is correct option(A).
What is the volume of cylinder?The volume of a cylinder is equal to the product of area of circular base and height of a cylinder. The volume of a cylinder is defined as the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it
V = A × h, where
A = area of the base
h = height
The base of a circular cylinder is a circle and the area of a circle of radius 'r' is πr². Thus, the volume (V) of a circular cylinder, using the formula, is, V = πr²h
where , 'r' is the radius of the base (circle) of the cylinder
'h' is the height of the cylinder
π is a constant whose value is either 22/7 (or) 3.142.
Given data,
The volume of cylinder = 288π cubic meters
V = πr²h
Substitute the value of V in the formula
288π = π(r²)(9)
Divided by π both the sides,
288 = 9 r²
288/9 = r²
32 = r²
r² = 32
r ≈ 5.65 meters
The area base (circle) of the cylinder = πr²
Substitute the value of r in the formula,
The area base of the cylinder = π(5.65)²
The area base of the cylinder = π(32)
The area base of the cylinder = 32π
Hence, the area base of the cylinder is 32π square meters.
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Miguel ran 2 9 10 miles on Monday. On Friday, Miguel ran 5 times as far as he did on Monday. How much farther did Miguel run on Friday than he did on Monday? Miguel ran miles farther on Friday
Answer:
[tex]11\dfrac{3}{5}$ miles[/tex]
Step-by-step explanation:
Miguel ran [tex]2\dfrac{9}{10}[/tex] miles on Monday.
On Friday, he ran 5 times as far as he did on Monday.
Miles run on Friday
[tex]=5 X 2\dfrac{9}{10}[/tex]
[tex]=5 X \dfrac{29}{10}\\=\dfrac{29}{2}$ miles[/tex]
Difference in Number of Miles Run
[tex]=\dfrac{29}{2}-\dfrac{29}{10}\\=\dfrac{145-29}{10}\\=\dfrac{116}{10}\\=11\dfrac{3}{5}$ miles[/tex]
Therefore, Miguel ran [tex]11\dfrac{3}{5}$ miles[/tex] farther on Friday.
If triangle ABC defined by the coordinates A(1,1), B(9,1), C(1,9) is dilated by a scale factor of 1/2
Answer:
The transformed points of the triangle ABC are [tex]A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right)[/tex], [tex]B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right)[/tex], [tex]C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)[/tex]
Step-by-step explanation:
The new points after applying the scale factor are, respectively:
[tex]A' (x,y) = \frac{1}{2}\cdot (1,1)[/tex]
[tex]A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right)[/tex]
[tex]B' (x,y) = \frac{1}{2}\cdot (9,1)[/tex]
[tex]B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right)[/tex]
[tex]C'(x,y) = \frac{1}{2}\cdot (1,9)[/tex]
[tex]C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)[/tex]
Which of the following equations have infinitely many solutions?
Choose all answers that apply:
A 6x+35=-6x-35
B -6x+35=-6x+35
C 6x+35=-6x+35
D -6x+35=-6x-35
Please answer ASAP
Answer:
B -6x+35=-6x+35
Step-by-step explanation:
Let's analyze the options:
A ........................
6x+35=-6x-35 6x + 6x = -35 - 3512x = - 70x = -70/12This one has one solution
B ........................
-6x+35=-6x+35 - 6x + 6x = 35 -350 = 0This one has infinitely many solutions as results in true equation for any value of x
C ........................
6x+35=-6x+35 6x + 6x = 35 -3512x = 0x = 0This one has one solution
D ........................
-6x+35=-6x-35-6x +6x = - 35 - 350 = -70This one has no solutions as results in false equation for any value of x
\dfrac{g}4 =3.2
4
g
=3.2start fraction, g, divided by, 4, end fraction, equals, 3, point, 2
g=g=g, equals
Answer:
The answer is 21.
Step-by-step explanation:
**My**
**Mummy**
**Told**
**Me**
The value of g is 12.8, the solution of the equation.
Here, we have,
The equation you provided is:
g/4 = 3.2
To solve for the value of g, we can multiply both sides of the equation by 4 to isolate g:
4 * (g/4) = 4 * 3.2
The 4 on the left side cancels out with the 4 in the denominator, leaving us with:
g = 4 * 3.2
Multiplying 4 and 3.2 gives us:
g = 12.8
Therefore, the value of g is 12.8.
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Please help!
Eric has $4,610 in a savings account that earns 4% interest, compounded annually.
To the nearest cent, how much will he have in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
$ ___
Answer:
$ 4,986.18
Step-by-step explanation:
A = $ 4,986.18
A = P + I where
P (principal) = $ 4,610.00
I (interest) = $ 376.18
What is the value of C in the equation 4c-6=22
Answer:
4(7)-6=22
Step-by-step explanation:
C=7 and that's the final answer
Answer:
c = 7
Step-by-step explanation:
4c-6=22 add 6 on both sides
4c = 22+6
4c =28 divide both sides by 4
c = 7
A cylinder has a height of 13 feet and a radius of 9 feet. What is its volume? Use A 3.14
and round your answer to the nearest hundredth.
cubic feet
Submit
Not feeling ready yet? This can help:
Ars of crcles 152)
earch
Answer:
A cylinder has a height of 13 feet and a radius of 9 feet. What is its volume? Answer is V≈3308.1ft³
HELP PLZ HURRY!!!!!!!!!!!!
Answer: D
d. because they are not subtracted(C), the two fractions do not add up to 13(B), and the number is not equal to 2(A).
Betty has a checking account and a non-interest bearing savings account. The function C(x), shown below, represents her checking
account balance, where x is the number of months. The function S(x), shown below, represents her saving account balance.
C(x) = -2401 - 140 + 1,400
S(s) = 4503 + 100
Which function represents Betty's total account balance. T(x)?
Answer:
T(x) or total account balance = C(x) + S(x)
Step-by-step explanation:
where = C(x) = -2401 - 140 + 1,400
and
S(x) = 4503 + 100
This implies that:
C(x) = 3,661
S(x) = 4,603
Therefore, T(x) 3,661 + 4,603 = 8,264
T(x) is the total account balance or the addition of the balances of checking and saving accounts.
C(x) is the checking account balance.
S(x) is the saving account balance.
Answer
(On attachment)
Step-by-step explanation:
Simplify: 9(1 - r) + 3r
Step-by-step explanation:
9 - 9r + 3r
9 - 6r
For finding the value of r
9 = - 6r
9/ - 6 = r
3 / - 2 = r
STRUCTURE Write the ratio of the side lengths of the two cubes described in simplest form. a. The volumes of the two cubes are 270x cubic inches and 32x2 cubic inches. b. The surface areas of the two cubes are 6x4 square feet and 6(x + 1) square feet.
Answer:
a) [tex]2.036x^-\frac{1}{3}[/tex]
b) [tex]\frac{x^2}{\sqrt{x+1} }[/tex]
Step-by-step explanation:
For a cube, all the sides are equal. Let the length of each side be L
a) The volume of a cube (V) = L³
For the first cube:
V = 270x in³
270x = L³
L = ∛(270x) = [tex]6.463x^\frac{1}{3}[/tex]
For the second cube:
V = 32x² in³
32x² = L³
L = ∛(32x²) = [tex]3.175x^\frac{2}{3}[/tex]
Ratio of length = [tex]\frac{6.463x^\frac{1}{3} }{3.175x^\frac{2}{3} }=2.036x^-\frac{1}{3}[/tex]
b) The surface area of a cube (s) = 6L²
For the first cube:
s = 6x⁴ ft²
6x⁴ = L²
L = √6x⁴= 2.45x²
For the second cube:
s = 6(x + 1) ft²
6(x + 1) = L²
L = √6(x + 1)= 2.45√(x + 1)
Ratio of the length = [tex]\frac{2.45x^2}{2.45\sqrt{ (x + 1)}} =\frac{x^2}{\sqrt{x+1} }[/tex]
what is -10=b/14-9? plz helps
Answer:
b = -14
Step-by-step explanation:
Step 1 : B/14 Simplify
Step 2 :
Rewriting the whole as an Equivalent Fraction
Adding fractions that have a common denominator
Step 3 :
Rewriting the whole as an Equivalent Fraction
Adding fractions that have a common denominator
Step 4 :
Pulling out like terms
Step 5 :
When a fraction equals zero
Answer: b = -14
Hope this helps.
Answer:
b= -50
Step-by-step explanation:
-10= b/14-9
Switch sides
b/14-9 = -10
Multiply both sides by 5
5b/14-9= 5(-10)
Simplify
b= -50
HOPE THIS HELPS :)
Alex and Raul have a total of $5.00 between them. Raul has 60 cents more than Alex. How much does each have?
if any of you guys can help it would be greatly appreciated this is due tomorrow
Answer:
x =4
Step-by-step explanation:
The rubber track for a toy digger goes around four circular wheels of diameter 8 cm, as shown. (b) Calculate the length of the rubber track that goes around the four wheels. Give your answer correct to one decimal place.
Answer:
73.1 cm
Step-by-step explanation:
In the drawing, the rubber track is in black and the wheels are in light gray.
As we can see in the figure, the rubber track will have a length of two halfs of a circunference of radius 8 cm plus six diameters of 8 cm. So the total length is:
Length of rubber track = pi * 8 + 6 * 8 = 25.13 + 48 = 73.133 cm
Rounding to one decimal place, we have that the length is 73.1 cm
This question is incomplete because it lacks the diagram of the 4 circular wheels.
Find attached to this answer the appropriate diagram
Answer:
100.5cm
Step-by-step explanation:
The formula to be used in this calculation is the circumference of a circle.
The circumference of a circle can be defined as the actual length of a circle when it is stretch out(opened up) or the distance around a circle.
The formula for the circumference of a circle is given as 2πr where r = radius of the circle
Or πD where D = Diameter of the circle
In the question, we are given the diameter of the circle = 8cm
So we use the Formula
= πD
The length of the rubber track around one wheel is
= π × 8cm = 25.132741229cm
From the attached diagram, we can see we have 4 wheels.
The length of the rubber track that goes around the four wheels is calculated as
4 × 25.132741229cm = 100.53096491cm.
Approximately to one decimal place = 100.5cm
Therefore, the length of the rubber track that goes around the four wheels to one decimal place is 100.5cm
The inverse of the function f(x) = {x+
+ 10 is shown
h(x) = 2x-0
What is the missing value?
A. 1
B.5
C.10
D.20
Answer:
D
Step-by-step explanation:
f(x) = x + 10
Replace f(x) with y.
y = x + 10
Now, remember that in an inverse function you flip the x and y, so
x = y + 10
Solve for y
y = x - 10
because its 2x... we must multiply by 2.
2y = 2x - 20
Original equation:
h(x) = 2x - 0
h(x) is 2y..
D.
Answer:
The missing value is 20
Step-by-step explanation:
A fish tank holds 832 gallons but is leaking at a rate of 5 gallons per week. A second fish tank hose 1040 gallons but is leaking any rate of 9 gallons per week after how many weeks with the amount of water in the two fish tanks me the same
Answer:
Within 52 weeks, the amount of water in the two fish tanks will be the same.
Step-by-step explanation:
First, let's make the two equations equal to each other by placing an equal sign.
832 - 5x = 1040 - 9x
Now, that they are equal to each other, we can solve for x.
Okay, so we can move -5x to the other side by adding both sides with 5x.
832 = 1040 - 4x
Then, subtract 1040 from both sides to move it to the other side.
832 - 1040 = -208
-208 = -4x
Lastly, divide both sides by -4 to get the value of x.
-208/-4 = 52
x = 52
Solve 1/2 (x+5) < 2
-
Answer:
x < -1
Step-by-step explanation:
1/2 (x+5) < 2
Multiply each side by 2
1/2*2 (x+5) < 2*2
(x+5) < 4
Subtract 5 from each side
(x+5-5) < 4-5
x < -1
Work out the perimeter of the shaded shape.
Answer:
38cm
Step-by-step explanation:
4+2+2+4+13+13=38
Can someone help me please? Thanks!! :)
Answer:
The answer on the top is the best line for a line of best fit because...
Step-by-step explanation:
there is a noticeable correlation in the first graph- a positive one. The line of best fit should have about the same amount of line plots on the top than on the bottom. Also, there can be a few line plots that is touching the line of best fit as well. Those line plots will be about the middle of the data and provide a good guideline to make your line of best fit the most accurate. The second graph is pretty scattered and doesn't have a clear correlation therefore having no correlation. Hope this helps!!
A bucket contains 10 balls numbered as follows: 1, 2, 2, 3, 3, 3, 3, 4,4,5.
What is the probability of drawing a ball with a number greater than 3?
Answer:
30% chance or [tex]\frac{3}{10}[/tex]
Step-by-step explanation:
1, 2, 2, 3, 3, 3, 3, 4, 4, 5
The only numbers above 3 is 4, 4, and 5. There are 3 numbers greater than 3 and there are 10 total numbers, so the chance is [tex]\frac{3}{10}[/tex] theoretical chance of getting a number GREATER than 3 or 30% chance.
What value of n would make point A the circumcenter?
2
5
4
3
Answer:
3
Step-by-step explanation:
edg 2020 says i was right got 100 on test
Paloma added a garden to her painting. She has 12 rows of flowers. Each row has 13 plants in it. Each plant has 15 flowers on it. How many flowers are in Palomas garden?
Answer: 2340 flowers
Step-by-step explanation:
From the question, Paloma added a garden to her painting. She has 12 rows of flowers and each row has 13 plants in it while each plant has 15 flowers on it. To calculate the number of flowers in Palomas garden, we multiply the number of rows by the total number of plants and the number of flowers in each plant. This will be:
= 12 × 13 × 15
= 2340 flowers
What is the residual value when the price of jeans is $28.00?
- 9.37
- 1.13
- 1.13
- 9.37
The sales manager uses
y = 1.75x + 92.13 as a line of best fit.
well the answer is 1.13 because id you divide 28 in to 42 then you will get 1.13
Find the distance between the points A (13, 2) and B (7, 10).
Answer:
10
Step-by-step explanation:
d = 10
For:
(X1, Y1) = (13, 2)
(X2, Y2) = (7, 10)
Distance Equation Solution:
d=(7−13)2+(10−2)2−−−−−−−−−−−−−−−−−√
d=(−6)2+(8)2−−−−−−−−−−√
d=36+64−−−−−−√
d=1–√00
d=10
Will mark as brainliest if correct
Answer:
y=13
Step-by-step explanation:
PLEASE HELP ME
Find the surface area of the suitcase
Answer:
1,344 square inches
Step-by-step explanation:
First, determine the faces that you have to find the areas of! In this situation, you need to find the areas of two trapezoids and four rectangles.
Finding the area of a trapezoid is pretty straightforward! Simply find the average of the two bases and multiply that by the height. ((5+15)/2)*12 should equal the area of one trapezoid. Because they're both the same trapezoid, you can multiply this area by two in order to get the area of both. This will get you 240.
Now, find the area of each of the rectangles by multiplying their individual bases and heights together. You'll find them to be 312, 360, 120, and 312.
Lastly, add all the areas together to get the total surface area.
ASAP plz it's a volume question
find the side x (it is a cube)
[tex] {x}^{3} = 74.088 \\ x = \sqrt[3]{74.088} \\ x = 4.2[/tex]
Answer:
4.2 cm
Step-by-step explanation:
The side of a cube cubed is equal to the volume.
a³ = V
The volume is already given, solve for the side.
a³ = 74.088
a = ∛74.088
a = 4.2
The side x is 4.2 centimeters.
how to share £150 to 1:4
Answer:
30:120
Step-by-step explanation:
1 + 4 = 5
150 div 5 = 30
30 times 1 = 30
30 times 4 = 120
Answer:
1 : 4£30 : £120Step-by-step explanation:
£150[tex]1 : 4 \\ 1 + 4 = 5[/tex]
[tex] \frac{150}{5} = 30[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: 1\: \: \: \: \: \: \: \: \: \: \: : \: \: \: \: \: \: \: \: 4 \\ 30 \times 1 \: \: \: \: \: \: \: : \: 4 \times 30 \\ \: \: \: \: \: 30 \: \: \: \: \: \: \: \: \: \: \: \: \: : 120[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
at the market, 5 light bulbs cost $9.85. how much does 7 light bulbs cost
Answer:
7 light bulbs cost $13.79
Step-by-step explanation:
1: Divide 9.85 by 5 = 1.97
2: Multiply 1.97 by 7= 13.79
Answer: 13.79
Hope this helps.
Answer:
$13.79
Step-by-step explanation:
If you divide 9.85 by 5, you'll get 1.97. If you multiple 1.97 by 7 the answer is 13.79!