If a stack of 40 nickels fits snugly in the coin wrapper shown, how thick is 1 nickel? Round to the nearest hundredth.
Question:
If a stack of 40 nickels fits snugly in the coin wrapper shown, how thick is 1 nickel? Round to the nearest hundredth.
Coin wrapper volume = 27,480 mm^3
Coin diameter = 21.18 mm
Answer:
The thickness of a coin is: 1.95mm
Step-by-step explanation:
Given
[tex]V = 27480mm^3[/tex] -- volume
[tex]d = 21.88mm[/tex] --- the diameter
Required
The thickness of each coin
This implies that, we calculate the height of each coin.
First, calculate the radius (r) of the coin
[tex]r = \frac{1}{2}d[/tex]
[tex]r = \frac{1}{2} * 21.18mm[/tex]
[tex]r = 10.59mm[/tex]
The volume of the coin is calculated as:
[tex]V =\pi r^2H[/tex]
Where H represents the total heights of the 40 coins
[tex]27480 = 3.14 * 10.58^2 * H[/tex]
Solve for H
[tex]H = \frac{27480 }{ 3.14 * 10.58^2}[/tex]
[tex]H = \frac{27480 }{ 351.480296}[/tex]
[tex]H = 78.1836145944[/tex]
The height of a coin is calculated by dividing H by 40
[tex]h = \frac{78.1836145944}{40}[/tex]
[tex]h = 1.95459036486[/tex]
[tex]h \approx 1.95mm[/tex]
Hence, the thickness of a coin is: 1.95mm
can you guys help me with this i am down to my last nerve
Answer:
(-1, 1)
Step-by-step explanation:
um i kinda feel like i got it wrong buuuuuuut yea
y=x²+2x+2
First, we should try to change the last number in a way so we can factor the entire thing
y=x² + 2 x + 1
tooo make it look like y=(x + 1 )²
the only difference between the original y=x² + 2x + 2
and the factor-able y=x² + 2x + 1 is simply changing the
2 to a 1 (Since we can't randomly change the 2 to a 1, we can add 1 and subtract a 1 to the equation at the same time to keep it balanced.)
ummmmm yeeaaa <3
1 Kembangkan setiap yang berikut.
(a) 3x(2 - xy)
(b) (4p + 9(-2)
Answer:
6x*2-3x*2y
4p-18
Step-by-step explanation:
Just question number 4 please I will give u a big amount of points please! No answer is bad if you try your best that’s ok!
Please please help this is algebra:(
find the missing term in the equation below (?+5)+(3x-2)=8x+3
Answer: 5x
Step-by-step explanation:
5x + 3x = 8x
Answer: Question
find the missing term in the equation below (?+5)+(3x-2)=8x+3
(5x+5)+(3x-2)=8x+3
5x+5+3x-2
5x+3x+5-2
8x+3
therefore, answer proved
PLZ ACCEPT MY EFFORT
5 STAR +THANKS :(
Piensa y escribe un caso estadístico en el que pueda identificar POBLACIÓN, MUESTRA, VARIABLE Y RECORRIDO DE LA VARIABLE
ANSWER:
Caso estadístico: Altura de las mujeres de la poblacion indigena Sikuani.
Step-by-step explanation:
Población: Mujeres de la comunidad sikuani
Muestra: se toma una muestra de 20 datos para calcular la altura ,este dato se toma de la población total de 165 mujeres.
M: ( 1.30, 1.20, 1.50, 1.52, 1.60, 1.37, 1.28, 1.55,1.46, 1.26, 1.57, 1.58, 1.54, 1.38, 1.56, 1.23, 1.59, 1.62, 1.48, 1.40)
Variable: Altura
Recorrido de la variable: El recorrido de la variable es la diferencia entre el valor máximo de la muestra y el valor mínimo.
Altura máxima: 1.62 m.
Altura mínima : 1.20
Como ya tenemos el valor máximo y el valor mínimo ,podemos hallar el recorrido de la variable.
R=( 1.62m -1.20m)
R= 0.42
7. A triangle has side lengths of 9 and 5. Which of the following cannot be the length of the third side? *
The values less than 4 or greater than 14 cannot be the length of the third side
Which cannot be the length of the third side?From the question, we have the following parameters that can be used in our computation:
Side lengths of 9 and 5.
Represent the third length of the triangle with x
So, we have the following representation (using the triangle inequality theorem)
a + b ≥ c.
Substitute the known values in the above equation, so, we have the following representation
9 + 5 ≥ x
9 + x ≥ 5
5 + x ≥ 9
Evaluate the sum
14 ≥ x
x ≥ -4
x ≥ 4
So, we have
14 ≥ x
x ≥ 4
Combine
4 ≤ x ≤ 14
This means that values less than 4 or greater than 14 cannot be the length of the third side
Read more about triangles at
https://brainly.com/question/1163433
#SPJ1
The measure that cannot be the length of the third side is 14. Option
How to determine the lengthAn important rule to remember about triangles is called the third side rule:
Third side rule of triangles states that;
The length of the third side of a triangle is less than the sum of the lengths of the other two sides and greater than the (positive) difference of the lengths of the other two sides.
For this triangle, the length of the third side must be greater than
9- 5= 4
Also, the length of the third side must be less than
9 + 5 = 14
Hence, all the answers are possible except for answer D, which is equal to 14 but not less than 14.
Learn about triangles at: https://brainly.com/question/1058720
#SPJ1
The Complete question is added as:
A triangle has side lengths of 9 and 5. Which of the following cannot be the length of the third side? *
a. 4
b. 5
c. 11
d. 14
Guys pls help me!!!!!!!! (It’s not c)
Answer:
The answer is D .
Step-by-step explanation:
Hope it was helpful .
Michael is measuring fabric for the costumes of a school play he needs 11.5 meters of fabric. He has 280 centimeters of fabric. How many more centimeters does he need ?
Answer:
8.7
Step-by-step explanation:
The answer is 8.7 because 280 centemiters converted into meters is 2.8 and 11.5-2.8=8.7
John drank 12 oz of soda. If this was 60% of the soda in the bottle, how many ounces of soda were in the full bottle?
Answer:
20oz
Step-by-step explanation:
60%=12oz
this can be simplified into 1%
in order to find 1% divide by 60
60%/60=1%
in order to find out how much 1% is, divide 12oz by the number used to divide the percent
12/60=0.2
so 0.2=1% and we want to know 100% so multiply by 100
0.2x100=20
1%x100=100%
so 20oz=100% of the bottle
can someone help me with this one 2x2-18=0
Answer:
-14
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
2x-18=0
2x=18 /:2
x=9
Two symmetric points on a parabola are (3, -2) and (7, -2).
What is the parabola's axis of symmetry?
Answer:
(5, -2)
Step-by-step explanation:
It is in the middle of the parabola for the points (3, -2) and (7, -2).
8(a+5)=8•a+8•5
___. ___
= |_?_|a + |_?_|
Answer:
|8|a + |35| or = |-8|a+|-35_|
Step-by-step explanation:
8(a+5)=8•a+8•5
=8a+35
= |8|a + |35| or = |-8|a+|-35_|
PLEASE HURRY!!!
Write an explicit formula for [tex]a_{n}[/tex], the nth term of the sequence 35, 42, 49, ....
Answer:7n+28
Step-by-step explanation:
Which measurement is closest to the area of the circle in square meters?
Mary is designing a square garden in her field to grow vegetables. The minimum size for a garden is 2 meters on each side. She decides it would be best to have each side be 2 meters long plus an additional x amount of meters.
a. What expression can represent the area of the garden?
b. Mary’s five additional friends also want to make this garden with the same dimen
(4) please try and find the area of a triangle thank you
Answer:
The answer is 6m
Step-by-step explanation:
This is because the formulae used to find the area of a triangle is ½ multiplied by the base multiplied by the height.
Hope it helps:)
The scale drawing of a rectangular room has a length of 18 inches and a width of 12 inches. If the scale for the
drawing is 1 inch = 2 1/2 feet, what is the perimeter of the actual room?
Step-by-step explanation:
Scale factor =5/2
length=5/2×18= 45
width=5/2×12= 30
perimeter = 2(L+W)
=(45×2+30×2)
90 +60
=150 inches
Pls help?!?!? With this
Answer:
7 buses. 52÷ 8 = 6.5 so rounding up to 7
Question 10 of 10
Sample A and sample B are from the same population. If the sample
proportion for sample A is 0.53, the sample proportion for sample B has to be
0.53
A. True
B. False
Answer is false
Answer:
It’s false
Step-by-step explanation:
It doesn’t need to be the same
HELP PLEASE ASAP A rectangular prism has a length of 19 meters, a height of 13 meters, and a width of 14 meters. What is its volume, in cubic meters?
Answer:
3458
Step-by-step explanation:
The _____ _____, denoted modifyingabove p with caret, is given by the formula modifyingabove p with caretequals_____, where x is the number of individuals with a specified characteristic in a sample of n individuals. the ▼ ▼ deviation mean proportion error variance , denoted modifyingabove p with caret, is given by the formula modifyingabove p with caretequals ▼ xn startfraction n over x endfraction startfraction x over n endfraction , where x is the number of individuals with a specified characteristic in a sample of n individuals.
Answer:
Sample proportion ; phat
x / n
Step-by-step explanation:
The sample proportion may be explained as a proportional representation of part of the population or larger sample which have a certain character or exhibit a particular trait.
The sample proportion is expressed Mathematically as ;
phat = x / n
x = number of subjects with a specified characteristic ;
n = total sample size
For instance ;
The proportion of black balls in a sample of 100 balls is 15 ; the sample proportion of bla k balls will be :
phat = x / n = 15 / 100 = 0.15
Can someone please help me asap ill mark brainlist + extra points!!!!!!
Answer:
25
Step-by-step explanation:
d=2r
2r=25+25=50
d=50
Radius =25
Answer:
25 yds
Step-by-step explanation:
2*radius=diameter
radius=d/2
r=50/2
r=25yds
Genevieve is 3 years older than twice her brother's age. Genevieve is 21 years old. Write an equation to find her brother's age.
The equation that represents Genevieve's brother is y = 18/2.
What is the equation that represents Genevieve's brother age?The equation that represents Genevieve's age:
21 = 3 + 2Y
Where Y represents Genevieve's brother age
In order to determine the required equation, make y the subject of the formula
21 - 3 = 2y
18 = 2y
y = 18/2
To learn more about linear functions, please check: https://brainly.com/question/26434260
Brianne's town is building a pool based on a scale drawing that is 20 centimeters by 10 centimeters and uses the scale 1 cm:250 cm. What is the area of the pool in square meters? Enter the area of the pool in the box.
Answer:
[tex]A=1250m^2[/tex]
Step-by-step explanation:
From the question we are told that
Dimension of drawing
20 centimetres by 10 centimetres
Scale of drawing
1 cm:250 cm
Generally the the Main dimension of the pool is mathematically given as
[tex]L=length\ of\ scaled\ pool*250 cm\\B=length\ of\ scaled\ pool*250 cm\\L=20*250=5000 cm=50m\\B=10*250=2500 cm=25m[/tex]
Therefore Area Aof main pool is mathematically given as
[tex]A=50m*25m=1250 m^2[/tex]
[tex]A=1250m^2[/tex]
I NEED HELP PLEASE- ‼️‼️‼️
Answer:
18x^2 - 30x
Step-by-step explanation:
Distribution:
You just have to distribute 6x by each term in the parenthesis.
Equation: 6x(3x-5)
(You can also think of it as: 6x * 3x + 6x * -5)
18x^2 - 30x
This is as simplified as can it can be.
(You can’t add terms that have different variables, seeing as the first term has x^2 and the second one only has x).
The graphs shows the favorite colors chosen by some middle school students Favorite Colors Red Yellow Orange Blue Color Green Black Pink Purple 8 9 10 Number Which statement is supported by the information in the graph? Fewer than 30% of the students chose red yellow, or orange as their favorite color More than of the students chose pink as their favorite color. • Exactly 18% of the students chose blue as their favorite color. Exactly of the students chose green black or purple as their favorite color.
explain you answer choice
Answer:B
Step-by-step explanation:
Its b,i swear on my doggie
what is 5x – 9 + 2x – 4 = 9.4
Answer:3.2
Step-by-step explanation:
3.2 because x =16/5=3 1/5=3.2
\angle B=∠B=angle, B, equals ^\circ ∘ degrees Round your answer to the nearest hundredth.
ANSWER IS:∠B=56.25
Answer:
<B is 53.13degrees
Step-by-step explanation:
Find the diagram attached
Given
Opposite side= 4 (side facing <B)
Adjacent side = 3
Required
<B
According to SOH CAH TOAS identity
tan theta = opp/adj
tan<B = 4/3
<B = arctan(4/3)
<B = arctan(1.3333)
<B = 53.13 degrees
Hence the angle <B is 53.13degrees based on the diagram