Answer:
the answer is approximately 8.2 units.
What is the radius of a sphere with a volume of 3026 cm ^3, to the nearest tenth of a centimeter?
Answer:
[tex]r=9.0\:\mathrm{cm}[/tex]
Step-by-step explanation:
The volume of a sphere is given as [tex]\frac{4}{3}r^3\pi[/tex]. Therefore we have the following equation:
[tex]\frac{4}{3}r^3\pi=3026,\\r^3=\frac{3}{4}\cdot\frac{3026}{\pi},\\r^3=722.40428,\\r=\sqrt[3]{722.40428},\\r\approx \fbox{$9.0\:\mathrm{cm}$}[/tex].
Rounding this to the nearest tenth of a centimeter, the radius of the sphere is approximately 14.0 cm.
What is volume?Volume refers to the amount of space occupied by an object or substance. In mathematics, it is usually measured in cubic units (e.g. cubic meters, cubic centimeters).
The volume of an object can be calculated using its dimensions and specific formulas that depend on the shape of the object.
For example, the volume of a cube is calculated by multiplying its length, width, and height, while the volume of a sphere is calculated using the formula [tex](4/3)\pi r^3[/tex], where r is the radius of the sphere.
The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere and π (pi) is a mathematical constant approximately equal to 3.14159.
We can rearrange this formula to solve for r:
r = [tex](3V/4\pi)^{(1/3)[/tex]
Substituting the given volume V = 3026 [tex]cm^3[/tex], we get:
r = [tex](3(3026)/(4\pi))^{(1/3)[/tex] ≈ 14.0 cm
Thus, the radius of the sphere is approximately 14.0 cm, rounded to the nearest tenth of a centimetre.
For more details regarding volume, visit:
https://brainly.com/question/1578538
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. Johnny says that 6 3/8 converted to a decimal is 6.392. Is Johnny correct?
Justify your answer. and show your work please! get 100 points if you get it right!
Let's check
3/8=3×125/8×125=375/1000=0.375So
6-3/86+3/86+0.3756.375Hence he is wrong
4-3y+(-7y)+6.9=
Fast PLZ!
John is putting a fence around his garden that is shaped like a half circle and a rectangle. How much fencing will John need? Use 22/7 as Pi.
32 ft
39 ft
46 ft
57 ft
Answer:
46
Step-by-step explanation:
It will help :)
Answer:
46
Step-by-step explanation:
RIGHT ON EDGE~
Y’all know what this is ?
Answer:
65
Step-by-step explanation:
8(5) + 25 = 65
We plugged in 5 for c since we know its value.
Answer:
65
Step-by-step explanation:
8x5=40 25+40=65
I hope this helps, and have a nice day!
SOMEONE PLEASE HELP!!!
If Judy uses 400 chocolate chips to make x cookies, write an expression that represents the number of chocolate chips in each cookie.
Answer:
y=[tex]\frac{400}{x}[/tex]
Step-by-step explanation:
Answer: 400/x (over x} = Y {amount on each cookie}
Step-by-step explanation:
What are the zeros of the polynomial y = (3x − 1)(x + 2)(2x + 1)? (4 points) negative two comma negative start fraction one over two end fraction comma start fraction one over three end fraction negative two comma negative start fraction one over two end fraction comma negative start fraction one over three end fraction 3, −2, 2 two comma start fraction one over two end fraction comma negative start fraction one over three end fraction
Answer:
1/3, -2 and -1/2
Step-by-step explanation:
Given the polynomial function y = (3x − 1)(x + 2)(2x + 1)
The zeros of the function occurs at when y = 0
The expression becomes;
(3x − 1)(x + 2)(2x + 1) = 0
3x - 1 = 0
3x = 1
x = 1/3
Also
x = x+2
x = 0-2
x = -2
2x+ 1 = 0
2x = 0-1
2x = -1
x = -1/2
Hence the zeros of the polynomial are 1/3, -2 and -1/2
Mikayla downloaded 64
pictures from the cloud to her laptop.
These pictures took up 192 megabytes
of space on her laptop. Each picture
took up the same amount of space.
How many megabytes do 25
of these pictures take up?
Answer:
25 pictures will take up 75 Megabytes of space.
Step-by-step explanation:
Given that:
Number of pictures downloaded = 64
Space taken by pictures = 192 MBs
Unit rate = [tex]\frac{192}{64}[/tex]
Unit rate = 3 Megabytes per picture
Now,
The space 25 pictures would take,
25 pictures = 3*25
25 pictures = 75 Megabytes
Hence,
25 pictures will take up 75 Megabytes of space.
Create your own "magic trick" that will always result in
5.
Write out the steps for the magic trick in the table. You
can add more rows as needed.
Explain why the result of your trick will always be 5.
Step 1:
Step 2:
Solve each equation after clearing fractions or decimals and check the solution:
1. 2/3x-5/6=2
2. 4/5x+1/3=2
Answer:
scCXczxczxs davefrevs rgv sdfasdfadcfa afaFAFaDF
I need help with this one it does not make scene
Step-by-step explanation:
[tex] {x}^{2} - 3x + 4 + 4 {x}^{2} - (x + 12)[/tex]
[tex]5 {x}^{2} - 4x - 8[/tex]
The graph of y= x^2 +4x +3 is shown
work out a and b please
Answer:
A.) i think it's (-2, -1)
B.) ?
Step-by-step explanation:
I am very sorry if they are wrong....i don't know B..sorry
Answer:
b = (-1,0) (-3,0)
Step-by-step explanation:
I NEED HELP REALLY BAD
If the point (3,-4) is dilated by a scale factor of 74 , what are the new coordinates?
Now take the new points and rotated them 180°. What are the new coordinates?
Answer:
(-222, 296)Step-by-step explanation:
Given point
(3, -4)Dilation by a scale factor of 74:
(x, y) → (74x, 74y)(3, -4) → (74*3, 74(-4)) = (222, -296)Rotation by 180°:
(x, y) → (-x, -y)(222, -296) → (-222, 296)3 rays have common vertex. All the angles, which are made by neighbor rays( I think they mean adjacent rays), can be:
a)acute
b)obtuse
c)right
d)none of it.
btw I checked answer, but I still didn't understand, so I need explanation.
Answer:
[tex]b)\ Obtuse[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that:\\There\ are\ three\ rays.\\Lets\ mark\ them\ Ray\ OP, OQ,\ and\ OR\ with\ their\ common\ Vertex\ O.\\\\Now,\\We\ know\ that\ the\ sum\ of\ all\ angles\ around\ a\ point[or\ here\ Vertex\ O]\\ should\ be\ equal\ to\ 360.\\Here,\\\\Lets\ consider\ each\ case\ sepearately.\\If\ all\ the\ angles\ formed: \angle POR, \angle ROQ, \angle POQ,\ are\ acute\ then:\\\angle POR, \angle ROQ, \angle POQ<90\\If\ we\ add\ them\ together,[/tex]
[tex]\angle POR+ \angle ROQ+ \angle POQ<90+90+90<270[/tex]
[tex]But\ here\ the\ sum\ of\ the\ angles\ are\ less\ than\ 270,\ but\ the\ sum\ should\\ instead\ be\ 360.\\Hence,\ the\ angles\ formed\ by\ the\ rays\ are\ NOT\ acute.[/tex]
[tex]Similarly,\\If\ all\ the\ angles\ formed: \angle POR, \angle ROQ, \angle POQ,\ are\ right\ then:\\\angle POR, \angle ROQ, \angle POQ =90\\When\ we\ add\ them\ again:\\\angle POR+ \angle ROQ+ \angle POQ=90+90+90=270\\But\ again\ the\ sum\ here\ is\ equal\ to\ 270,\ but\ instead\ the\ sum\ had\ to\\ be\ equal\ to\ 360.\\Hence,\\The\ angles\ formed\ are\ NOT\ right.[/tex]
[tex]Lets\ consider\ the\ Last\ Case,\\If\ the\ angles\ formed: \angle POR, \angle ROQ, \angle POQ\ are\ obtuse,\\\angle POR, \angle ROQ, \angle POQ>90\\When\ we\ add\ them:\\\angle POR+ \angle ROQ+ \angle POQ>(90+90+90)>270\\Here,\\The\ angles\ formed\ are\ greater\ than\ 270.\ As\ 360>270,\ the\ angles\ ARE\\ obtuse.[/tex]
What is f(-4) for the function f(x) =-3x-8
Answer:
f(-4) = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = -3x - 8
f(-4) is x = -4
Step 2: Evaluate
Substitute in x: f(-4) = -3(-4) - 8Multiply: f(-4) = 12 - 8Subtract: f(-4) = 4Answer:
the correct answer is:
-3 × -4 -8 = 12 - 8 = 4
find the midpoint between the points in the graph.
Can someone please help
Answer: I would think that the midpoint is (2,3)
Step-by-step explanation: Because I have eyes
PLZZZ, help I having a Test!!!
What is the length of AD? The picture is attach....
Answer:
kite
Step-by-step explanation:
it be kite
y=x+5
x-5y=-9
Can someone please help ASAP
what is 2/3 ÷ 3/4 I really need help
Answer:
8/9
Step-by-step explanation:
2/3 ÷ 3/4
2*4/(3*3)
8/9
Heyy pleaseeeee help meeeeeeeeee
Answer:
no solution
Step-by-step explanation:
Please help ASAP!!!??
Answer:
[tex]\{-2,-1,1,2,4\}[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Determine the range of the graph
First, we list out the coordinate of each point on the graph:
The points are:
[tex]\{(-4,-1),(-3,-2),(-2,2),(1,1),(2,4)\}[/tex]
A function has the form: (x,y)
Where
y = range:
From the coordinate points above,
[tex]y = \{-1,-2,2,1,4\}[/tex]
Order from least to greatest"
[tex]y = \{-2,-1,1,2,4\}[/tex]
Hence, the range are: [tex]\{-2,-1,1,2,4\}[/tex]
MULTIPLE QUESTIONS FOR 100 POINTS IF CORRECT YOU WILL GET BRAINLIEST!!! PLEASE HELP
1. Do Charlotte's calculations make sense? Why or why not? Make sure to address each step in your answer and use complete sentences to explain your reasoning.
2. Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room and put in new flooring. The room is rectangular, with dimensions of 16 feet (length) by 13 feet (width). The walls in the room are 9 feet tall, and the room contains two doors and two windows.
Charlotte has decided to put new carpet in the bedroom. The carpet she chose costs $1.85 per square foot, not including the cost of labor or other related materials. She was given the following information by the local flooring store where she is purchasing the carpet.
She is required to purchase a piece of carpet that includes a 3-inch overlap on all sides. Labor and material costs will relate to the area of this piece.
The labor costs are $23 per hour, per person.
A two-person carpet crew can lay 50 square feet of carpet each hour.
The crew that will complete the job at Charlotte's house will be a four-person crew.
There is an additional $75 fee to cover the cost of equipment, materials, and supplies.
What are the dimensions of the piece of carpet that Charlotte must purchase? Note: Express your answer as a decimal number and do not round.
Length:
feet; Width:
feet.
3. Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room and put in new flooring. The room is rectangular, with dimensions of 16 feet (length) by 13 feet (width). The walls in the room are 9 feet tall, and the room contains two doors and two windows.
Charlotte has decided to put new carpet in the bedroom. The carpet she chose costs $1.85 per square foot, not including the cost of labor or other related materials. She was given the following information by the local flooring store where she is purchasing the carpet.
She is required to purchase a piece of carpet that includes a 3-inch overlap on all sides. Labor and material costs will relate to the area of this piece.
The labor costs are $23 per hour, per person.
A two-person carpet crew can lay 50 square feet of carpet each hour.
The crew that will complete the job at Charlotte's house will be a four-person crew.
There is an additional $75 fee to cover the cost of equipment, materials, and supplies.
Recall that the area of a rectangle is found by multiplying the length and width of the rectangle. What is the area of the piece of carpet that Charlotte must purchase? Note: Express your answer as a decimal number and do not round.
_____ square feet
Answer:
Yes, they do make sense because the amount of square feet is equal to the amount of money needed to make the purchase in the mathematical abbreviations.
Step-by-step explanation:
Expand and simplify:
4(2x + 1) + 2(2x - 1)
Answer:
12x + 2
Step-by-step explanation:
4 ( 2x + 1 ) ⇔ 8x + 4
2 ( 2x - 1 ) ⇔ 4x - 2
8x + 4 + 4x - 2 = 12x + 2
What is the equation of the line represented by the data in the table
Answer: y = -1/2x - 1
Help & explain answer pls
A(3, 3), 60, 6) and co, 4),
Write down the coordinates of the points marked on the graph below.
2
1
Answer:
yo bro
Explanation:
im no there to answer but im doing a challenge so pls dont report me
6.4n-10=4.4n+6 solve for n
Answer: n=8
Step-by-step explanation:
1. Subtract 4.4n on both sides:
2n-10=6
2. Add 10 on both sides:
2n=16
3. Divide both sides by 2:
n=8
Have a nice day :D
the main sailboat has the dimensions shown in figure at the right . what is the height of the main sail? Then round to the nearest tenth as needed .)
Answer:
h = 14.5 ft
Step-by-step explanation:
Apply trigonometric ratio formula to find h:
reference angle = 46°
Opposite side = h
Adjacent side = 14 ft
Thus:
Tan 46 = h/14
Multiply both sides by 14
14*tan 46 = h
h = 14.4974243
h = 14.5 (nearest tenth)