The complete question is
" Work out the surface area of this cylinder if the diameter of the cylinder is 8 cm and height is 16.8 cm."
The surface area of the cylinder of diameter 8 cm and height 16.8 cm would be 547.616 cm sq.
What is the surface area of the cylinder?The surface area of the cylinder of the radius of the base r and the height h,
A = 2πr ( r + h)
We have been given as
diameter = 8 cm
Height = 16.8cm
The radius = 8/2 = 4cm
The surface area of the cylinder
A = 2πr ( r + h)
A = 2 x 3.14 x 4 ( 4 + 16.8)
A = 25.12 (21.8)
A = 547.616 cm sq.
Hence, The surface area of the cylinder of diameter 8 cm and height 16.8 cm would be 547.616 cm sq.
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need help asap please!
Answer:
determinant: -15x = 3; y = 4; z = 1Step-by-step explanation:
The matrix of coefficients has one row corresponding to each equation. The constants in that row are the coefficients of the variables in the equation. Coefficients are listed in the same order on each row. A missing term is represented by a coefficient of 0.
coefficient matrix, determinantThe first attachment shows the coefficient matrix and its determinant.
__
solutionThe solution to the system of equations can be found by left-multiplying the constant vector by the inverse of the coefficient matrix.
[tex]\textbf{A$\cdot$X}=\textbf{B}\\\\\textbf{X}=\textbf{A}^{-1}\cdot\textbf{B}[/tex]
This multiplication is shown in the second attachment. It tells us ...
[tex]\textbf{X}=\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}3\\4\\1\end{array}\right][/tex]
What is the value of f(3) in the function below?
f(x) = 2x
O A. 16
OB. 8
OC. 4
O D. 6
So we replace "x" with the necessary value (3):
[tex]f(3) \: = \: 2 \: \times \: 3[/tex]
[tex]f(3) \: = \: \boxed{ \bold{6}}[/tex]
Answer:[tex]\text{Opción A. } \boxed{ \bold{55}}[/tex]
MissSpanishIn a data set, the proportion of items that are in a particular category is called the.
In a data set, the proportion of items that are in a particular category is called the Relative Frequency
What is Relative Frequency ?Frequency mean how often an event can occur , an relative frequency means how many times that event will occur with respect to the total number of events.
For determining Relative frequency , we need to know the frequency for a particular event and the total number of event.
The proportion of items that are in a particular category is called the Relative Frequency.
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which equation has an infinite amount of solutions
If f(x) = 3x² -1 and g(x) = x+2, find (f + g)(x).
Answer:
(f+g)(x) = 3x^2+x+1
Step-by-step explanation:
It may look hard at first, but all the question is asking you to do is add both of the equations together.
(f+g)(x) = (3x^2-1) + (x+2)
(f+g)(x) = 3x^2+x+1
a man invested $6000 at 8% per annum simple interest for 5 years.
a).calculate the simple interest.
b).the total amount of money collected at the end of the 5 year period.
Answer:
*r = R/100 = 8%/100 = 0.08 per year, A = P(1 + rt)
a) A = 6000[1 + (0.08 × 5)] = 8400
b) A = $8,400.00
Answer:
a) $2400
b) $8400
Step-by-step explanation:
The simple interest formula can be used to find the amount of interest. The amount collected at the end of the period is the total of principal and interest.
__
a)The simple interest is given by the formula ...
I = Prt . . . . . . P is the principal amount, r is the annual rate, and t is the number of years
For this investment, the interest is ...
I = $6000·0.08·5 = $2400
The simple interest amounts to $2400.
__
b)The amount collected at the end of 5 years is the principal plus interest:
P +I = $6000 +2400 = $8400
The total collected is $8400.
The formula for final velocity given acceleration and time is Vf=Vi+a•t
Rewrite the formula for solve Vi
Answer:
It is the third option
Step-by-step explanation:
Trust me
A circular grass lawn has an area of 314 square metres.
12.
Find the circumference of the lawn.
Answer:
[tex]C= 62.8m[/tex]
Step-by-step explanation:
Let's round [tex]\pi = 3.14[/tex]. Area of a circle if [tex]\pi r^2[/tex]. In our case, we can easily find out the radius[tex]\pi r^2 = 100\pi \rightarrow r=10m^[/tex]. At this point, it's easy to find the length of the circumference by doubling it and multiplying again by [tex]\pi[/tex]:
[tex]C= 2\pi r = 62.8 m[/tex]
Select the correct answer. what is the approximate solution to this equation? a. b. c. d.
The approximate solution to the given equation is x ≅ 148.4. The correct option is C. x ≈ 148.4
Solving equationsFrom the question, we are to determine the approximate solution to the given equation,
The given equation is
[tex]4lnx -8 =12[/tex]
First, add 8 to both sides
[tex]4lnx -8+8 =12+8[/tex]
[tex]4lnx =20[/tex]
Now, divide both sides by 4
[tex]ln x =\frac{20}{4}[/tex]
[tex]ln x = 5[/tex]
Take the exponents of both sides
[tex]e^{lnx} = e^{5}[/tex]
x = 148.413
x ≅ 148.4
Hence, the approximate solution to the given equation is x ≅ 148.4. The correct option is C. x ≈ 148.4
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Point A in this figure is to be rotated 90° in a clockwise direction. The center of the rotation is the origin. A (0,5) C (6,3) B (2,-2) Where does point A end up?
Answer:
B
Step-by-step explanation:
To rotate triangle ABC about the origin 90° clockwise we would follow the rule (x,y) → (y,-x), where the y-value of the original point becomes the new x-value and the x-value of the original point becomes the new y-value with the opposite sign.
Which of the following is the range in the given set of numbers 10, 30, 15, 17, and 18
Using it's concept, it is found that the range of the set of numbers 10, 30, 15, 17, and 18 is of 20.
What is the range of a data-set?
The range of a data-set is given by the difference of the greatest value by the smallest.
In the data-set 10, 30, 15, 17, and 18, we have that:
The greatest value is 30.The smallest value is 10.Hence the range is given by:
R = 30 - 10 = 20.
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Complete the slope-intercept form of the linear equation that represents the relationship in the table
Answer:
y
[tex]y = - 2 x + 5[/tex]
Step-by-step explanation:
Hope this will help :)
Select the correct answer.
To solve this system of equations using substitution, what could be substituted in place of y in the first equation?
4x=5-2y
y-2x=7
Answer: y=2x+7
(this is a rearranged version of y-2x=7 from question)
Step-by-step explanation:
4x=5-2y
y-2x=7
i would rearrange the 2nd value into y intercept form y=mx+b
so move the -2x to the other side of the = sign by doing the opposite, +2x on both sides to isolate the y
y=2x+7
you didn't give any options for "correct answer" so i can't give
you A B C or D answers
A rectangular piece of material with sides 150 cm and 100 cm is used to make a circular table cloth. the diameter of the completed cloth must be 0.9 m and 5 cm is provided for the hem. how much material is wasted?
The material wasted is 7915.375 sq cm.
What is area of rectangle?The product of its length and breadth.
Area = length* breadth
Given:
length= 150 ac, breadth = 100 cm
d= 0.9m 5cm
r= 47.5 cm
Area of rectangle,
= l * b
= 150*100
= 15000 sq. cm
Area of Circular cloth,
= πr²
=3.14*47.5*47.5
=7084.625 sq cm.
Hence, the wasted material is = 15000-7084.625
= 7915.375 sq cm
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Please help me this is my last question this one is worth big points for me
Answer: your gonna add 3,000+ 5,000 then you will add test answer to 157.50 then you’ll put the answer for 3,000+5,000 then you’ll put that in the first box then you’ll add that number two 157.50
Step-by-step explanation:
Hope this helps
:3 have an amazing day or a beautiful day:)
In ΔLMN, n = 510 cm, l = 820 cm and ∠M=20°. Find ∠L, to the nearest degree
The angular measure L is : 47°
What are angles?Angles are formed when two lines meet.
Analysis:
Firstly, we calculate for m using cosine rule.
[tex]m^{2}[/tex] = [tex]510^{2}[/tex] + [tex]820^{2}[/tex] -2(510)(820) cos 20
[tex]m^{2}[/tex] = 260100 + 672400 -83600(0.9396)
[tex]m^{2}[/tex] = 146618.56
m = [tex]\sqrt{146618.56}[/tex] = 382.9cm
using sine rule to find ∠L
382.9/sin20 = 820/sinL
sinL = 820sin20/382.9
sinL = 820(0.342)/382.9
sinL = 0.732
L = sin inverse of 0.732 = 47°
In conclusion, ∠L is 47°
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identify the domain of the functions shown in the graph
Answer:
D. 2<=x<=6
Step-by-step explanation:
domain: all possible x-values
reuben wants to earn at least $57 trimming trees. he charges $6 per hour and pays $9 in equipment fees. what are the possible numbers of hours reuben could trim
Answer:
8 hrs.
Step-by-step explanation:
He has to spend $9, so 57+9=66. The closest multiple of 9 over 66 is 9x8=72. So, Reuben has to spend 8 hrs.
What is the sum of the polynomials? (–x2 9) (–3x2 – 11x 4)
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
0.81
Step-by-step explanation:
how this helps!
btw: you spelled truly wrong
Daniel has $600 in a checking account, has $12,000 in a savings account, owns a $12,000 car, and owns a $35,000 house. what is the total value of his large assets?
The total value of Daniel's large assets is $59,600
Calculating Total assetsFrom the question, we are to determine the total value of Daniel's assets
From the given information,
Daniel has $600 in a checking account and he has $12,000 in a savings account.
He also owns a $12,000 car and a $35,000 house
Then,
The total value of his assets = $600 + $12,000 + $12,000 + $35,000
The total value of his assets = $59,600
Hence, the total value of Daniel's large assets is $59,600
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Answer: 47,000
Step-by-step explanation:
large assets: House+car
12,000+35,000=47,000
Aaron’s mother purchases a new computer for $1750. If she claims a linear depreciation (loss of value) on the computer at a rate of $250 per year, how long will it take for the value of the computer to be $0?
After 8 years the value of the computer to be $0 if the Aaron’s mother purchases a new computer for $1750.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have:
Aaron’s mother purchases a new computer for $1750. If she claims a linear depreciation (loss of value) on the computer at a rate of $250 per year.
The above problem can be solved using concept of arithmetic sequence
The starting value = $1750
After one year = 1750 - 250 = $1500
After second year = 1500 - 250 = $1250
Common difference = 1500 - 1750 = -250
a(n) = 1750 + (n - 1)(-250)
a(n) = 0 (final value is zero given)
0 = 1750 + (n - 1)(-250)
n - 1 = 7
n = 8 years
Thus, after 8 years the value of the computer to be $0 if the Aaron’s mother purchases a new computer for $1750.
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Help!! I don’t understand how to answer this
Answer:
The answer is option A
Step-by-step explanation:
The solution is in the image
please help me im just really slow
Plot the points (0,6),(3,15.8) and (9.5,0) using the graphing tool, and find the function
Answer:
f(x)=11.1035−0.920848x
Step-by-step explanation:
Given the parent function p(x)=cos(x) what phrase best describes the transformation used to obtain g(x)= cos(x+a)-b, if a and b are positive constants
Use the bar graph to find the experimental probability of the event.The experimental probability of spinning a 7 is
The experimental probability of spinning a 7 is 0%
How to determine the probability?From the complete question, we have:
n(7) = 0
The above means that the number 7 is not on the spinner.
So, it is impossible to spin a 7
Hence, the experimental probability of spinning a 7 is 0%
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pls help ;-; me with this question
chap: linear equations in one variable
grade: 8
Answer:
Step-by-step explanation:
Answer:
1.5 or 3/2
Step-by-step explanation:
[tex]\frac{2x+1}{2x-1} =2\\(\frac{2x+1}{2x-1} )(2x-1)=2(2x-1)\\2x+1 = 4x-2\\2x+1-4x=4x-2-4x\\-2x+1=-2\\-2x+1-1=-2-1\\-2x=-3\\x=\frac{-3}{-2} \\=1.5 or \frac{3}{2}[/tex]
Solve the inequality.
-2c-7-9
Enter the correct answer
Answer:
-2c-16
Step-by-step explanation:
do 7-9 because it's the only thing you can solve.
--> -2c-16
tis the season slope formula
The slope is the change in vertical axis of a graph to its horizontal axisor the rise to run of a line.
The slope formulaThe slope is the change in vertical axis of a graph to its horizontal axis. This can also be the rise to run of a line.
The formula for calculating the slope of a line is given asL
Slope = rise/run
It can also be expressed as:
Slope = change in y-axis/change in x-axis
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