For closet
It's a rectangle
L=36inB=36inH=108inVolume
LBH36²(108)(36)³(3)139968in³For rolls:-
Cylindrical body
radius=r=5/2=2.5inHeight=h=3.75inVolume:-
πr²hπ(2.5)²(3.75)π(6.25)(3.75)73.6in³Total rolls:-
Volume of closet /Volume of rolls139968/73.61901.71902 rollsAnswer:
1372
Step-by-step explanation:
Rectangular closet dimensions:
length = 36 inwidth = 36 inheight = 108 inModelling the roll of toilet paper as a cylinder with dimensions:
diameter = 5 inheight = 3.75 inIf we sit the rolls of toilet paper in the closet with their circular ends as their bases, then we can calculate the number of rolls that cover the base of the closet by dividing the length (and width) of the closet by the diameter of the toilet roll.
⇒ 36 in ÷ 5 in = 7.2 in
Therefore, we can fit 7 toilet rolls along the length and 7 toilet rolls along the width of the closet, meaning that we can fit 7 × 7 = 49 toilet rolls over the base of the closet.
Now calculate how many toilet rolls we can stack on top of each other.
To do this, divide the height of the closet by the height of the toilet roll:
⇒ 108 in ÷ 3.75 in = 28.8
Therefore, we can stack 28 layers of 49 toilet rolls in the closet.
So the total number of toilet rolls = 28 × 49 = 1372
There are other ways of stacking the toilet rolls in the closet (for example, turning them on their side), however, we cannot calculate the number of rolls the closet fits by simply dividing the volume of the closet space by the volume of a toilet roll, since the toilet rolls are cylinders and so there will always be some space between them.
the mean of normally distributed test scores is 80 and the standard division is 5. If there are 186 test scores in the data sample, how many of them were in the 75 to 80 range?
Answer:
63
Step-by-step explanation:
score 75 is one standard dev below the mean ====>to the mean encompasses approx 34% of scores
.34 * 186 = 63
There is a bag with only red marbles
and blue marbles.
The probability of randomly choosing
a blue marble is
7/9
There are 63 marbles in total in the
bag and each is equally likely to be
chosen.
Work out how many red marbles there
must be.
Answer:
14 red marbles.
Step-by-step explanation:
If I am reading this correctly, since the probablitly of choosing a blue marble is 7/9, then 7/9 of the bag must be blue marbles. That amounts to 7/9*63=49 and the bag containing 49 blue marbles. Therefor, 63-49=14 is the number of red marbles in the mag.
What is the surface area for a rectangular prism with the height of 6 inches, width of 8 inches, and the length of 4 inches
Answer:
Using the formula, we can find that the surface area is 208 in².
Step-by-step explanation:
To find the surface area (SA) for a rectangular prism, substitute its dimensions into the formula and solve.
DimensionsDimensions mean the side lengths of the shape, the height, width and length. We know the dimensions from the question.
Height: h = 6 in
Width: w = 8 in
Length: l = 4 in
FormulaWe will need the formula to find the surface area for rectangular prisms. Note that different shapes have a different formula for finding surface area.
[tex]SA= 2(lw + lh + hw)[/tex]
Substitute the dimensions h = 6in, w = 8in and l = 4in into the formula.
[tex]SA= 2((4\ in)(8\ in) + (4\ in)(6\ in) + (6\ in)(8\ in))[/tex]
Remember order of operations (BEDMAS) when solving. Multiply within the brackets first.
[tex]SA= 2(32\ in^{2} + 24\ in^{2} + 48\ in^{2})[/tex] Add within the brackets.
[tex]SA= 2(104\ in^{2})[/tex] Multiply.
[tex]SA= 208\ in^{2}[/tex] Final answer
Tip: The final answer for area will always have squared units.
∴ The surface area (SA) of the rectangular prism with a height of 6 inches, width of 8 inches, and length of 4 inches is 208 squared inches.
What is the answer please?
Step-by-step explanation:
this simply means that the coordinates are multiplied by the scale factor.
(a, b) -> (a×k, b×k)
that's it.
so, the first answer is correct.
simplifying question
helppppp please !!!!
Some please help me , also your beautiful and handsome and smart and you matter .
Answer:
∠ 1 = 36° , ∠ 2 = 144°
Step-by-step explanation:
∠ 1 and ∠ 2 are adjacent angles on a straight line and sum to 180° , that is
x + 12 + 6x = 180
7x + 12 = 180 ( subtract 12 from both sides )
7x = 168 ( divide both sides by 7 )
x = 24
Then
∠ 1 = x + 12 = 24 + 12 = 36°
∠ 2 = 6x = 6 × 24 = 144°
which congruent theorem would prove these triangles congruent ??
Answer:
It's AAS congruent theorem.
Answer:
[tex]\huge\boxed{\sf AAS\ postulate}[/tex]
Step-by-step explanation:
The two triangles have:
2 angles congruent (already marked)a side that is common in both triangles.So, 2 angles and 1 side congruency makes it AAS postulate (Angle-Angle-Side).
[tex]\rule[225]{225}{2}[/tex]
find the area of the triangle
Answer:
this is a trapazoid so it is 32.5
Step-by-step explanation:
formula equals base + base / 2 x h = 9 + 4 / 2 x 5 = 32.5
mad skillz, good luck cheating
Increase £80 by 15%
There are four people in an elevator that is about to make four stops on four different floors of the building. What is the probability that each person gets off on a different floor
The probability that each person gets off on a different floor is; 3/32
How to find the Probability?
We are told that there are 4 people on the elevator. We are also told that there are four stops on four different floors. Thus;
Total number of ways to get off on the floors = 4 * 4 * 4 * 4 = 256 ways
Now, the number of ways that each person can get off on a different floor is 4! = 24. Thus, the probability that each person gets off on a different floor is;
P(each person gets off on a different floor) = 24/256 = 3/32
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help me please
[tex]if \: \sin(x) = \cos(50degree) \: find \: x [/tex]
Answer:
x = 40°
Step-by-step explanation:
using the cofunction identity
cos(90 - x) = sin x , so
90 - x = 50 , then
x = 40
that is sin40° = cos50°
What is the quotient of (2x4 – 3x3 – 3x2 7x – 3) ÷ (x2 – 2x 1)? 2 x superscript 4 baseline minus 3 x cubed minus eleven-halves 2x2 x – 3 – startfraction 6 over x squared minus 2 x 1 endfraction 2x2 – x 2x2 x – 3
The answer choice which represents the quotient of the polynomials given is; 2x² +x -3.
What is the quotient of the polynomial division?According to the task content, the quotient of the polynomial division; (2x4 – 3x3 – 3x2 7x – 3) ÷ (x2 – 2x 1) is required;
Hence, it follows from long division of polynomials that the required quotient is; 2x² +x -3.
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Answer:
D: 2x² +x -3
Step-by-step explanation:
WILL MARK BRAINLIEST!!!
A bag contains four red marbles, three blue marbles, two yellow marbles, and one green marble. Two marbles are drawn from the bag, one at a time, without replacement. What is the probability of drawing two blue marbles?
Answer:
1/12
Step-by-step explanation:
The initial probability of drawing a blue marble would be 3/9 as there are initially 3 blue marbles and in the bag there are a total of 9 marbles however, to get the second blue marble, the probability would be 2/8 since there's one less blue marble in the bag, making it 2 and one less marble in the bag, in general, leaving 8 marbles in the bag. To find the combined probability of getting both blue marbles, multiply the probabilities so:
3/9 x 2/8 = 1/3 x 1/4 = 1/12
One group (A) contains 390 people. Three-fifths of the people in group A will be selected to win $100 fuel cards. There is another group (B) in a nearby town that will receive the same number of fuel cards, but there are 553 people in that group. What will be the ratio of nonwinners in group A to nonwinners in group B after the selections are made? Express your ratio as a fraction or with a colon.
The ratio of nonwinners in group A to nonwinners in group B after the selections are made is 156 : 319.
What is the ratio?Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
Nonwinners in group A = (1 - 3/5) x 390 = 156
Winners in group B = (390 - 156) = 234
nonwinners in group B = 553 - 234 = 319
The ratio = 156 : 319
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If an event is unlikely to occur, the probability is between ____ and ____ on the probability spectrum.
if an event is very likely to occur, the probability is between _____ and _____ on the probability spectrum.
btw thank you for answering ngas lol
Answer:
Certain and likely.
Find all solutions of the system of equations algebraically. Write your solutions as coordinate points.
Answer:
Coordinate form:
(9,-1) (-4,12)
Step-by-step explanation:
y=3x^2-16x-100
Sub in y for the second equation
x+3x^2-16x-100=8
Continue solving
End result should look like that:
Jdncjdcnndnsjddnsjdnejd ejdnjendjddnjedn
Answer:okay I don’t know what is this but what do you need help with exactly?
Step-by-step explanation:
A trampoline park charges $2 plus an hourly rate for each hour. The sign to the
ght gives the prices for up to 3 hours of parking. Which linear equation
epresents the given information where C is the total cost and h is the number of
hours spent at the park?
The linear function that gives the cost of spending h hours at the park is given by:
C(h) = 2 + mh.
In which m is the hourly rate.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The fixed rate is the y-intercept, hence, the linear function that gives the cost of spending h hours at the park is given by:
C(h) = 2 + mh.
In which m is the hourly rate.
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What is the slope of the line through (-5, 13) and (2,-1)
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
What is the slope of the line through (-5, 13) and (2, -1) ?
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
We can use the slope formula :-
[tex]\Large\text{$\displaystyle\frac{y_2-y_1}{x_2-x_1}$}[/tex]
Now , We replace letters with numbers ,
[tex]\Large\text{$\displaystyle\frac{-1-13}{2-(-5)}$}[/tex]
On simplification,
[tex]\Large\text{$\displaystyle\frac{-14}{2+5}$}[/tex]
On further simplification ,
[tex]\Large\text{$\displaystyle\frac{-14}{7}$}[/tex]
[tex]\diamond[/tex] Finally, We get
[tex]\longmapsto\sf\underline{\boxed{\tt{slope=-2}}}[/tex]
Good luck with your studies.#TogetherWeGoFar
[tex]\rule{300}{1}[/tex]
The slope of the line joining the points (a,b) and (c,d) is given by
[tex]{\boxed{\bf{Slope(m)=\dfrac{d-b}{c-a}}}}[/tex]Putting the values, we have:
[tex]{:\implies \quad \sf m=\dfrac{-1-13}{2-(-5)}}[/tex]
[tex]{:\implies \quad \sf m=\dfrac{-14}{2+5}}[/tex]
[tex]{:\implies \quad \sf m=\dfrac{-14}{7}=\boxed{\bf{-2}}}[/tex]
A circle is centered at R(2, 4). The point L(0,8) is on the circle.
Where does the point Q(6, 7) lie?
well, since we know the point L is on the circle, that means that the segment RL is really the length of the radius of that circle, hmmm let's see what that might be
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ R(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad L(\stackrel{x_2}{0}~,~\stackrel{y_2}{8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ RL=\sqrt{[0 - 2]^2 + [8 - 4]^2}\implies RL=\sqrt{(-2)^2+4^2}\implies \boxed{RL=\sqrt{20}}[/tex]
since RL is its radius, anything larger than that is outside the circle, and anything smaller than that is inside it. Let's check for the distance RQ.
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ R(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad Q(\stackrel{x_2}{6}~,~\stackrel{y_2}{7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ RQ=\sqrt{[6 - 2]^2 + [7 - 4]^2}\implies RQ=\sqrt{4^2+3^2}\implies RQ=\sqrt{25}[/tex]
needless to say RQ is larger than RL.
WILL GIVE BRAINLIEST!!!!
Which of the following is an example of an exponential function?
f(x) = 4x^3 + 2x^2 – 3x + 9
g(x) = log2(x)^3
h of x equals the quantity x squared plus 2x minus 7 end quantity divided by the quantity x plus 1
p(x) = 500(1.02)^x
Exponential functions are known to increase geometrically. An example of exponential function is p(x) = 500(1.02)^x
Exponential functionsExponential functions are known to increase geometrically. The standard exponential function is given as:
y = ab^x
a is the base
x is the exponent
From the given options, the function written in this form is
p(x) = 500(1.02)^x. Hence an example of exponential function is
p(x) = 500(1.02)^x
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so i am just gonna technically give u all points for these questions
Answer:
It should move three places to the left :3
Step-by-step explanation:
When 3 is subtracted from one third of a number n, the result is less than 6. Which
inequality and solution represent this situation?
3–ận<6;n<–9
ẩn-3<6;n<27
3- ẩn<6;n>_9
jn-3<6;n<9
Answer:
Option 2
Step-by-step explanation:
Making the terms based on the words :
⇒ n/3 - 3 (3 is subtracted from one third of a number n)
⇒ < 6 (less than 6)
===============================================================
The inequality is :
⇒ n/3 - 3 < 6
=============================================================
The solution :
⇒ n/3 - 3 < 6
⇒ n/3 < 9
⇒ n < 27
What two numbers multiply to -17 but add to -16?
Answer:
-33
Step-by-step explanation:
-17and den u add &16 together soon u have to additional into get -33
PLEASE HELP 5 POINT ASSIGNMENT (LEASE TO GREATEST PROBLEM)
Order, 1/2, 5/6, 2/3, and 3/5 from least to greatest
Answer:
1/2 < 3/5 < 2/3 < 5/6
Step-by-step explanation:
Using the given inputs:
1/2 5/6 2/3 3/5
The least common denominator (LCD) is: 30.
Rewriting as equivalent fractions with the LCD:
1/2 5/6 2/3 3/5
15/30 25/30 20/30 18/30
Sorting this table by the numerators of the equivalent fractions in order from least to greatest:
1/2 3/5 2/3 5/6
15/30 < 18/30 < 20/30 < 25/30
Therefore, the sorted inputs in order from least to greatest is:
1/2 < 3/5 < 2/3 < 5/6
What is the answer to 8:4(5+2)=?
Answer:
8:28
Step-by-step explanation:
4(5+2)
4(7)
28
Please give brainliest!
Hope this helps :)
the answer to the expression 8:4(5+2) is approximately 0.2857.
To solve the expression 8:4(5+2), we follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
First, we simplify the expression inside the parentheses: 5 + 2 = 7.
Next, we perform the multiplication: 4 * 7 = 28.
Finally, we perform the division: 8 ÷ 28 = 0.2857 (rounded to four decimal places).
So, the answer to the expression 8:4(5+2) is approximately 0.2857. Remember that it's crucial to follow the order of operations to arrive at the correct result in mathematical expressions.
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Find the area of a circle with a radius of 10 centimeters. Use 3.14 for π.
Answer:
A = 314 cm²
Step-by-step explanation:
the area (A) of a circle is calculated as
A = πr² ( r is the radius )
= 3.14 × 10²
= 3.14 × 100
= 314 cm²
A cylinder has a base of 8 feet and a height of 29 ft what is its volume in cubic feet
Answer:
1457.7 cubic ft
Step-by-step explanation:
Volume of a cylinder= πr²h
where, r = radius = 8/2 = 4 ft
h = 29
Volume= π × 4² × 29 = 1457.7 cubic ft
[tex]\rule{300}{1}[/tex]
[tex]\diamond\large\blue\textsf{\textbf{Given question:-}}}[/tex]
A cylinder has a base of 8 feet and a height of 29 ft. What is its volume
in cubic feet (ft³)?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
We are asked to find the volume of a cylinder, which can be found using the following formula:-
[tex]\hookrightarrow\boxed{\bold{V=\pi r^2h}}[/tex]
Where:-
V=volumer=radiush=heightProvided Information:-
r=4 ft (base = 8ft, divided by 2=4ft)h=29 ftSolving for Volume:-
Substitute 4 in lieu of r and 29 in lieu of h:-✳︎ [tex]\sf{V=\pi (4)^2(29)}[/tex]
On simplification,
✳︎ [tex]\sf{V=\pi (16)(29)}[/tex]
On further simplification,
✳︎ [tex]\sf{V=464\pi }[/tex]
Final step:-
✳︎ [tex]\sf{V\approx1,457.7\:ft^3}[/tex]
So we conclude that the volume of the given cylinder is
[tex]\ast[/tex] [tex]\sf{V\approx{1,457.7\:ft^3}}}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
Which is the x-intercept of the graph of the equation y=3x−9?