The thickness of each sheet of paper is 0.0012mm.
To find the thickness of each sheet of paper answer in millimeters.
What is mensuration?The act of measuring geometry applied to the computation of lengths, areas, or volumes from given dimensions or angles.
Given that:
A ream of A4 paper contain 500 sheets the size of each paper is 297mm long and 210mm wide the volume of the ream is 3742.2cm.
To convert cm in mm.
3742.2cm=37422 mm
Surface 1 sheet:
(297mm) X 210mm) =
62370[tex]mm^{2}[/tex]
Volume 1 sheet:
37422mm : 500 =
74.844mm
Thickness of 1 sheet:
74.844mm : 62370mm =
0.0012mm
So, the thickness of each sheet of paper is 0.0012mm.
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Find the area of the isosceles triangles with side lengths 16 meters, 17 meters, and 17 meters.
Answer:
120 meters
Step-by-step explanation:
The triangle area using Heron's formula
Heron's formula gives the area of a triangle when the length of all three sides is known. There is no need to calculate angles or other distances in the triangle first. Heron's formula works equally well in all cases and types of triangles.
[tex]T=\sqrt{s(s-a)(s-b)(s-c)} \\[/tex]
[tex]T=\sqrt{25(25-17)(25-17)(25-16)}[/tex]
[tex]T=\sqrt{14400} =120[/tex]
in the figure, line segment AB, is tangent to the circle at point A
Answer:
AB = 12 in
Step-by-step explanation:
given a tangent and a secant from an external point to the circle, then the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant, that is
AB² = BC × BD = 8 × 18 = 144 ( take square root of both sides )
AB = [tex]\sqrt{144}[/tex] = 12
Answer:
AB = 12 in
Step-by-step explanation:
Theorem
When a secant segment and a tangent segment meet at an exterior point, the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
Secant: a straight line that intersects a circle at two points.
Tangent: a straight line that touches a circle at only one point.
Given:
Secant segment = BDExternal secant segment = BCTangent segment = AB[tex]\sf AB^2=BD \cdot BC[/tex]
[tex]\implies \sf AB^2=(8+10) \cdot 8[/tex]
[tex]\implies \sf AB^2=18 \cdot 8[/tex]
[tex]\implies \sf AB^2=144[/tex]
[tex]\implies \sf AB=\pm\sqrt{144}[/tex]
[tex]\implies \sf AB=\pm 12[/tex]
As distance is positive, AB = 12 in
What are the characteristics of the function f(x) = 2(x-4)5?
O A. It is a reflection and a translation to the right of the parent
function.
O B. Both ends of the graph of the function go up.
I C. The left end of the graph of the function goes down, and the right
end goes up.
O D. It has 4 zeros and at most 5 relative maximums or minimums.
E. It has 5 zeros and at most 4 relative maximums or minimums.
OF. It is a vertical stretch and a translation to the right of the parent
function.
Answer:
Step-by-step explanation:
Answer: Options F, E, C.
Given : function f(x)=2(x-4)^5.
To find : What are the characteristics of the function .
Solution : We have given that f(x)=2(x - 4)^5.
By the End Point behavior : if the degree is even and leading coefficient is odd of polynomial of function then left end of graph goes down and right goes up.
Since , Option F is correct.
It has degree 5 therefore, function has 5 zeros and atmost 4 maximua or minimum.
Option E is also correct.
By transformation rule it is vertical stretch and shift to right (B )
Therefore, Option F , E , C are characteristics of the function .
Nico is planting grass in his backyard. He is using 1 foot grass squares and has to cover an area that is 24 feet long and 20 feet wide. How many 1 foot squares does Nico need
Answer:
480 tiles
Step-by-step explanation:
First we will find the area of Nico's backyard
Formula for area of a rectangle is length * width
24ft * 20ft = 480ft²
This means Nico will need 480 1ft² tiles
That is your answer
- Kan Academy Advance
central angle is a right angle. Find x.
Answer:
It's 90° degrees .
Explanation :
A right angle meseaures correct 90° degrees .
Which expression is equivalent to (startfraction (3 x y superscript negative 5 baseline) cubed over (x superscript negative 2 baseline y squared) superscript negative 4 baseline) endfraction) superscript negative 2? assume startfraction x superscript 10 baseline y superscript 14 baseline over 729 endfraction.
The equivalent expression of [tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2}[/tex] is [tex]\frac{x^{10} y^{14}}{729}[/tex]
How to determine the equivalent expression?The expression is given as:
[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2[/tex]
Expand the expression
[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2} = (\frac{27x^3y^{-15}}{(x^{8} y^{-8}})^{-2[/tex]
Apply the law of indices
[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2} = (\frac{27}{(x^{5} y^{7}})^{-2[/tex]
Take the inverse of the expression
[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2} = (\frac{x^{5} y^{7}}{27})^2[/tex]
Apply the square exponent to the expression
[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2} = \frac{x^{10} y^{14}}{729}[/tex]
Hence, the equivalent expression of [tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2}[/tex] is [tex]\frac{x^{10} y^{14}}{729}[/tex]
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Answer:A edge 2023
Step-by-step explanation:
Just did it and got it right
What is the quotient? startfraction n 3 over 2 n minus 6 endfraction divided by startfraction n 3 over 3 n minus 9 endfraction
The quotient of the fraction n³ / (2n - 6) ÷ n³ / (3n - 9) is 2/3
How to solve fractionn³ / (2n - 6) ÷ n³ / (3n - 9)
multiply by the reciprocal of n³ / (3n - 9)= n³ / (2n - 6) × 1 / n³ / (3n - 9)
= 2n - 6 / 3n - 9
= 2(n - 3) / 3(n - 3)
= 2/3
Therefore, quotient of the fraction n³ / (2n - 6) ÷ n³ / (3n - 9) is 2/3
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Answer:
2/3
Step-by-step explanation:
the question is “how much does a package of corn cost” but the amount next to it is 2/189. can someone help lol
Answer:
I'm assuming it's sayin that u get 2 for 1.89?
help me out pls 5 stars
Which expression is equivalent to (x – 2) – (5x + 2)?
A.
–4x – 4
B.
–4x – 2
C.
6x + 4
D.
6x
Question 8(Multiple Choice Worth 3 points)
(07.06 LC)
Given a polynomial f(x), if (x - 4) is a factor, what else must be true?
Of(0) = 4
F(0)=4
F(0)= -4
F(4)=0
F(-4)=0
Find the perimeter of the shaded region. Round your answer to the nearest hundredth
Answer:
38 units
Step-by-step explanation:
13+13=26
6+6=12
26+12=38
HURRY UP (100) POINTS PLS HURRY (10 MINS LEFT)
Translate the following equation into words: 5c - 4 = 11 Five, times a number minus four, is eleven. A number, times five minus four, is eleven. Five times a number, subtracted from four, is eleven. Four less than the product of five and a number, is eleven.
Answer:
Four less than the product of five and a number, is eleven.
Step-by-step explanation:
"The product of five and a number": 5c
"Four less than": - 4
"is eleven": = 11
"Four less than the product of five and a number is eleven":
5c - 4 = 11
Four less than the product of five and a number is eleven
No is cProduct of 5 and c is 5c
4 less than it means 5c-4
The result is 11
So expression is 5c-4=11Joe's bathroom floor is 7 feet wide and 4 feet long. He will cover the floor with 4-inch square tiles. How many tiles does Joe need? A 7 B 252 С 680 D 1008
Answer:
The answer will be 7 tiles.
Step-by-step explanation:
Firstly,you need to find the area of the bathroom floor.
Area of bathroom floor is =length×breadth
which is the formula for a rectangular floor
A=4×7
A=28cm squares.
Then to find how many tiles Joe needs=A÷4-inch square tile
=28÷4
=7 tiles.
In the diagram, triangle A B C and triangle C D A are congruent. What is the length of segment A D?
Answer:
Theres no picture but is it the square root of 33?
Step-by-step explanation:
Need answers for this
Answer:
Step-by-step explanation:
Mean, Median,mode[tex]\boxed{Mean = \dfrac{Sum \ of \ all \ data}{number \ of data}}[/tex]
[tex]\sf = \dfrac{234 + 247 + 236+212+248+243+176+195}{8}\\\\= \dfrac{1791}{8}\\\\= 223.875[/tex]
Median:Arrange the numbers in ascending order.
176 , 195 , 212 , 234 , 236 , 243 , 247, 248
Number of data is even. So, median will be the average of 234 and 236
Median = average of the middle two terms.
[tex]\sf = \dfrac{234+236}{2}\\\\ =\dfrac{470}{2}\\\\= 235[/tex]
Mode is the data which is occurring more number of times.
Range = maximum - minimum
= 248 - 176
= 72
Find the area of the triangle
The first buses to X and Y leave a bus station at 7 am
Buses to X leave every 25 minutes.
Buses to Y leave every 20 minutes.
When will the buses to X and Y next leave at the same time
The time at which the buses will leave at the same time is 8:40 am.
What is a factor?A factor is a number that divides another number, leaving no remainder
Example: 3 x 2 = 6
2 is a factor of 3.
We have,
Buses:
X leaves every 25 minutes.
Y leaves every 20 minutes.
We need to find the least common multiples of 25 and 20.
25 x 4 = 100
20 x 5 = 100
100 is our least common multiple of 25 and 20.
We see that,
4 is a factor of 24 which gives 100.
This means after 4 times, bus X will leave with bus Y at the same time.
5 is a factor of 20 which gives 100.
This means after 5 times, bus Y will leave with bus X at the same time.
The first buses to X and Y leave a bus station at 7 am.
After 100 minutes, buses X and Y will leave at the same time.
= 7am + 100 minutes
= 7 + 60 minutes + 40 minutes
= 7 + 1 hour + 40 minutes
= 8:40 am
Thus,
The time at which the buses will leave at the same time is 8:40 am.
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Which expression are equivalent to the one below? 4^3 * 4^x
Step-by-step explanation:
[tex] = {4}^{3} \times {4}^{x} [/tex]
[tex] = {4}^{3 + x} [/tex]
[tex] = {4}^{x + 3} [/tex]
I'll mark as Brainliest, Please answer ASAP, Ihave MCAS tomorrow. How could this be true?? Please Explain.
Answer:
See below
Step-by-step explanation:
The number of loaves of bread remaining can only go as low as ZERO (you can't have negative loaves) ...and can only go as high as when h = 0
so 0 = 42-3.5 h
3.5 h = 42
h = 12 and min is h = 0 ( when there are 42 loaves to start)
So:
0≤ h ≤ 12
this composite figure is made up of three similar shapes. what is the area of the figure?
Answer:
D : 66
Step-by-step explanation:
separate the composite figure into 3 different shapes then multiple then find the area of them all. after this just add them and you're good to go
also to get the area of a triangle you gotta add both sides then divide by 2.
A.
coke corporation paid larry $550 every 3 months (quarterly payment) for the dividends on 500
shares invested in the company. the current stock price is $600 per share.
how much did he make in dividends for the year?
b. what was the quarterly dividend per share?
c. what was the annual dividend per share?
d. what was the dividend yield (percent)?
Answer:
i think its b sorry if im wrong
Step-by-step explanation:
Is the median or mean a more appropriate choice for describing the "centers" of these two distributions?
Brett owns 236 shares of animite energy co., each of which offers a yearly dividend of $3.59. how much money does brett receive from dividends every year? a. $1,038.85 b. $1,529.59 c. $657.58 d. $847.24
The total amount of money that Brett receives from dividends every year is $847.24.
What is the total amount of money received from dividends?Dividends are payments made to the shareholders of a public company from the income of a company in a particular period.
Total dividends = dividend per share x total shares owned
236 x 3.59 = $847.24
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Answer:
Step-by-step explanation:
847.24
Is the vertex of the graph a maximum or a minimum?
Answer:
maximum
Step-by-step explanation:
Concepts
The vertex of a graph represents the turning point in a parabola.
Example: The graph shown in your question first steadily increases, but then at the point (1,3), it begins to go down. The point (1,3) is called the vertex in this case because it symbolizes the turning point.
Application
We are asked to determine if the vertex of this graph is a maximum or minimum. If the vertex is maximum, it's the highest point on the graph. If it's the minimum, it's the lowest point on the graph. Using your stunning eyes, you can see that the vertex is the highest point on the graph, making the answer maximum.
What is the solution for x in the equation?
-2x+14+10x=34
A. x=5/2
B. x=2/5
C. x=1/8
D. x=6
Which of the following ordered pairs are y-intercepts? Check all that apply.
(4, 0)
(–1, 1)
(0, 0)
(0, –7)
(–2, –2)
(0, –0.25)
.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
Which of the following ordered pairs are y-intercepts?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]
All y-intercepts have an x-coordinate of 0.
So a y-intercept looks like this:-
[tex]\sf{(0,b)}[/tex]
Where:-
b - y-intercept
So we conclude that the right options are:-
[tex]\square\!\!\!\!\!\Large\checkmark[/tex] (0,0)
[tex]\square\!\!\!\!\!\Large\checkmark[/tex] (0, -7)
[tex]\square\!\!\!\!\!\Large\checkmark[/tex] (0, -0.25)
Good luck.
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A textbook has 428 numbered pages, starting with 1.
A textbook has 428 numbered pages, starting with 1. You are equally likely to stop on any of the pages if you flip through the book randomly.
What is the probability that you turn to page 45?
Answer:
1/428 or 0.00233644859% chance
Step-by-step explanation:
Simply because there is only one page 45 use 428 as your denominator and then divide 1 by 428!
Answer: 1/428
Step-by-step explanation: There are 428 pages so that is the denominator. 45 is only one page so 1 is the numerator. Therefore it is a 1 in 428 chance that you would land on 45. Hope this helped!
Determine why the triangles are congruent. Choose from SSS, SAS, ASA, AAS, and HL. If the triangles are not congruent type NC.(Use all capitals in your answer)
Answer:
Step-by-step explanation:
4) The radius of a circle is 9 feet. What is the circle's area?
r=9 ft
4) Use 3.14 for л.
square feet
Answer:
254.34 square feet
Step-by-step explanation:
Area of a circle: πr²
Given:
π = 3.14r (radius) = 9 ftSubstitute the given values into the formula:
A = (3.14)(9)²
A = (3.14)(81)
A = 254.34 ft²
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2 interior angles of a triangle me 50 degrees and 60 degrees , what is the measure of the third interior angle of the tringle?