Answer:
radius r = 3 cm
height h = 10 cm
volume V = 282.743339 cm^3
lateral surface area L = 188.495559 cm^2
top surface area T = 28.2743339 cm^2
base surface area B = 28.2743339 cm^2
total surface area A = 245.044227 cm^2
In Terms of Pi π
volume V = 90 π cm3
lateral surface area L = 60 π cm^2
top surface area T = 9 π cm^2
base surface area B = 9 π cm^2
total surface area A = 78 π cm^2
Step-by-step explanation:
Cylinder Formulas in terms of r and h:
Calculate volume of a cylinder:
V = πr2h
Calculate the lateral surface area of a cylinder (just the curved outside)**:
L = 2πrh
Calculate the top and bottom surface area of a cylinder (2 circles):
T = B = πr2
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)
Agenda: r = radius
h = height
V = volume
L = lateral surface area
T = top surface area
B = base surface area
A = total surface area
π = pi = 3.1415926535898
√ = square root
The value of Surface Area of the cylinder is 245.04 cm².
What is Surface Area of a shape ?Surface area is the amount of space covering the outside of a three-dimensional shape.
It is given that the cylinder has
radius r = 3 cm
height h = 10 cm
volume V of the cylinder = πr²h = 282.74 cm³
the lateral surface area of a cylinder
L = 2πrh
lateral surface area L = 188.495559 cm²
the top and bottom surface area of a cylinder (2 circles):
T = B = πr²
top surface area T = 28.2743339 cm²
base surface area B = 28.2743339 cm²
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)
total surface area A = 245.044227 cm²
total surface area A = 78 π cm²
Therefore the value of Surface Area of the cylinder is 245.04 cm².
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in an equilateral triangle, the incenter, orthocenter, circumcenter, and centroid are __________.
A. On the same line
B. Unequal
C. Imaginary
D. The same point
Answer:
D. The same point
Step-by-step explanation:
An equilateral triangle can be defined as a type of triangle that has all of its sides being equal in length.
This ultimately implies that, an equilateral triangle comprises of three (3) congruent sides and as such creates three (3) congruent angles that measures 60° each. Also, the sum of the congruent angles of an equilateral is always equal to 180°.
Hence, in an equilateral triangle, the incenter, orthocenter, circumcenter, and centroid are the same point i.e all of the three (3) centers fall on the same point or spot.
I think the answer is nine but I’m not sure how to explain how I got my answer
Answer:
ur answer is right it is 9
Step-by-step explanation:
NOTE: divide the number 36 with 4 and u will get 9
GOOD JOB
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
Clara went to a music store and brought some CDs and DVDs. She paid $14 for each CD and $17 for each DVD. Let x represent the number of CDs that she purchased and y represent the number of DVDs.
40.1 =
С C
+ 3.1
0.1
Answer:
1.876
because I said it was
Which pair of angles are complementary but not adjacent?
1
N
5
3
4
+
0 21 and 25
0 21 and 23
0 24 and 21
0 24 and 25
HURRY PLEASE
Answer: 1 and 3
Step-by-step explanation:
I got it right on edge 2021
Answer:
1 and 3
Step-by-step explanation:
jessica wondered if elementary school students tend to write more when they are given
full question plsAnswer:
Step-by-step explanation:
PLEASE HELP ASAP
trigonometry
Answer:
5). x = 11.9°
6). x = 27.2°
Step-by-step explanation:
5). By applying cosine rule in the given triangle,
cos(32)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(32)° = [tex]\frac{x}{14}[/tex]
x = 14cos(32)°
x = 11.87
x ≈ 11.9°
6). By applying sine rule in the given triangle,
sin(54°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(54°) = [tex]\frac{22}{x}[/tex]
x = [tex]\frac{22}{\text{sin(54)}}[/tex]
x = 27.19°
x ≈ 27.2°
carry out the following divisions.
Answer:
9a²b²c²
Step-by-step explanation:
72a³b⁴c⁵ / 8ab²c³
= 9a²b²c²
Jessica has just purchased a new purse in the shape of a rectangular box to match her favorite shoes. The purse has a length of 15 cm, a width of 6.4 cm, and a height of 8 cm. What is the volume of the purse?
Which of the following ratios is not equivalent to the other two? * 1 1/2, 1:2, or 2 to 1
Answer:
1 1/2
Step-by-step explanation:
2 -7
-9
5
Given A=
and B-
6
1
-1
If X-A=B, what is X?
-2
O
7
0
-11
12
-2
-5
-7 -12
5
0
11-12
Answer:
it is b furqufhrfhquh quf hqhf
Step-by-step explanation:bfygefy eyfeyfyewfyefwef eqf
\fn qf7f
The value of the matrix X is X = [tex]\left[\begin{array}{ccc}-7&-2\\7&0\\\end{array}\right][/tex].
What are Matrices?Matrices are a set of numbers arranged in such a way that the numbers are arranged in rows and columns.
Each number is called element in a matrix.
Given are two matrices.
A = [tex]\left[\begin{array}{ccc}2&-7\\6&1\\\end{array}\right][/tex] and B = [tex]\left[\begin{array}{ccc}-9&5\\1&-1\\\end{array}\right][/tex]
We have given that, a matrix X exists such that,
X - A = B
We can rearrange this as,
X = A + B
Adding the two matrices,
The entries will be,
2 - 9 = -7
-7 + 5 = -2
6 + 1 = 7
1 - 1 = 0
X = [tex]\left[\begin{array}{ccc}-7&-2\\7&0\\\end{array}\right][/tex]
Hence the X is option A.
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Evaluate 12.3p+11.9r when p=7 and r=8.
HELP ME PLEASE
bsjsudhdhehe
Linda is playing a role-playing game with her friends. She will roll dice to determine if her character unlocks a treasure chest. The probability of her character unlocking the treasure chest is 13/20. Find the odds in favor of her character unlocking the treasure chest.
Answer:
65 percent chance right
Step-by-step explanation:
so she opens it 13 out of 20 times, so divide 13 by 20 and you get it
Six more than five times a number
Answer:
? = 5n + 6
Explanation:
Answer:
5x + 6
Step-by-step explanation:
Let the number = x. 5 times x = 5x. So, the equation 5x + 6.
In a study relating college grade point average to time spent in various activities, you distribute a survey to several students. The students are asked how many hours they spend each week in four activities: studying, sleeping, working, and leisure. Any activity is put into one of the four categories, so that for each student the sum of hours in the four activities must be 168. a) Consider the model GPA = β0 + β1study + β2work + β3leisure + β4sleep + u. Interpret the coefficient β1. Does it make sense to hold work, leisure, and sleep fixed, while changing study? b) Explain why this model violates Assumption MLR.3. c) How could you reformulate the model so that its parameters have a useful interpretation and it satisfies Assumption MLR.3?
Step-by-step explanation:
Given
GPA = NO + B1Study + B2work + B3leisure + B4sleep + u
1. No it makes no sense. There is an intercorellation between these explanatory variables. Changing study while holding the rest variables constant or fixed would not make sense. If study us changed then one or more of the other predictors should be changed so that they can still be equal to 168
2. Study is a perfect linear function of work, leisure and sleep. There is the problem of multicollinearity among these independent variables. One assumption of the MLR is no multicollinearity.
3. To reformulate model, you have to drop the variable that is having the issue. Let's say that leisure is dropped from the model. After this the assumption is satisfied.
GPA = b0 + B1Study + b2sleep + b3work + u
The question is in the graph. Please help.
Answer:
A I think
Step-by-step explanation:
because if you add them up.
Answer:
Aprox. 216 days
Step-by-step explanation:
Add the counts of the green bar(5-10mm) and the brown bar (0-5mm).
The brown is roughly 130 and the green is roughly 80, which is approx 216 days.
If i helped, a brainliest answer would be greatly appreciated!
Find x.
2x + 40
3x
4x
X + 50
x = [?]
y
Answer:
x=27
Step-by-step explanation:
Hey there!
the exterior angles of a quadrilateral add up to equal 360
so 360=2x+40+4x+3x+x+50
step 1 combine like terms
2x+4x+3x+x=10x
50+40=90
now we have
360=10x+90
step 2 subtract each side by 90
360-90=270
90-90 cancels out
now we have 270=10x
step 3 divide each side by 10
270/10=27
we're left with
x=27
Question 7 (5 points)
(06.04 LC)
The equation of the line of best fit of a scatter plot is y = 8x - 1. What is the slope of
the equation? (5 points)
1)-8
2-1
3) 1
4) 8
Answer:
4) 8
Step-by-step explanation:
In the formula y = mx + b, m is the slope and b is the y-intercept
m = 8
b = -1
If m = 8 and m is the slope, then the slope is 8
Four points A, B, C, and d are on a number line, in some order, so that AB=1, BC=2, CD=3, and DA=4. Which two points are farthest away from each other?
Answer: B or C sorry if its wrong
Step-by-step explanation: have a nice day
Find the errors and correct the following mathematical sentences.
Answer:
Step-by-step explanation:
18). 3x + 2 ÷ 3x = [tex]\frac{2}{3x}[/tex]
Since, 3x + 2 ÷ 3x = 3x + [tex]\frac{2}{3x}[/tex]
Therefore, right hand side of the equation will be = 3x + [tex]\frac{2}{3x}[/tex]
20). [tex]\frac{4x+3}{3}=x+1[/tex]
Since, [tex]\frac{4x+3}{3}=\frac{4x}{3}+\frac{3}{3}[/tex]
= [tex]\frac{4}{3}x+1[/tex]
Therefore, right hand side of the equation should be [tex]\frac{4}{3}x+1[/tex].
PLEASE PLEASE HELP!!!
These tables of values represent continuous functions. In which table do the
values represent an exponential function?
What is 5/9=14c-5/12
Answer:
c=5/72
Step-by-step explanation:
5/9=14c-5/12
Switch sides
14c-5/12=5/9
Add 5/12 tp both sides
14c-5/12+5/12=5/9+5/12
Simplify;
14c-5/12+5/12
=14c
Simplify;
5/9+5/12
LCM of 9, 12;
36
The least common multiplier of a, b is the smallest positive number that is divisible by both a and b.
Prime factorization of 9;
3*3
Prime factorization of 12;
2*6
=2*2*3
=3*3*2*2
=36
5/9=5*4/9*4=20/36
5/12=5*3/12*3=15/36
=20/36+15/36
20+15/36
=35/36
14c=35/36
14c/14=35/36/14
14c/14=c
35/36*14
=35/504
=5/72
Answer c=5/72
Answer to the following question is as follows;
Value of C = 5 / 72
Step-by-step explanation:
Given:
[tex]\frac{5}{9} = 14c - \frac{5}{12}\\\\[/tex]
Find:
Value of C
Computation:
[tex]\frac{5}{9} = 14c - \frac{5}{12}\\\\[/tex]
By taking 5/12 to LHS Side
[tex]\frac{5}{9} + \frac{5}{12} = 14c\\\\[/tex]
By taking LCM;
[tex]\frac{(4)(5) + (3)(5)}{36} = 14c\\\\[/tex]
[tex]\frac{20 + 15}{36} = 14c\\\\[/tex]
[tex]\frac{35}{36} = 14c\\\\[/tex]
By transfer 14 to LHS side
[tex]\frac{35}{36 \times 14 } = c\\\\[/tex]
[tex]\frac{5}{36 \times 2 } = c\\\\[/tex]
[tex]\frac{5}{72} = c\\\\[/tex]
Value of C = 5 / 72
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Which systems of equations have the same solutions?
L (3x+y = 8
1x - 4y = -6
m{$*=*=230
NS 4x – 3y = 2
12% -8y = -12
Answer:
B. L and N
Step-by-step explanation:
Let's solve each system
✔️System L:
3x + y = 8 => Eqn. 1
x - 4y = -6 => Eqn. 2
x = -6 + 4y
Substitute x = (-6 + 4y) in eqn. 1
3(-6 + 4y) + y = 8
-18 + 12y + y = 8
-18 + 13y = 8
13y = 8 + 18
13y = 26
y = 26/13
y = 2
Substitute y = 2 into Eqn. 2
x - 4y = -6
x - 4(2) = -6
x - 8 = -6
x = -6 + 8
x = 2
Solution to system L = (2, 2)
✔️System M:
4x - 3y = 2 => Eqn. 1
5x - 4y = -30 => Eqn. 2
Multiply eqn 1 by 5, and eqn. 2 by 4
20x - 15y = 10
20x - 16y = -120
Subtract
y = 130
Substitute y = 130 into eqn. 1
4x - 3(130) = 2
4x - 390 = 2
4x = 2 + 390
4x = 392
x = 392/4 = 98
Solution to system M = (98, 130)
✔️System N:
4x - 3y = 2 =>Eqn. 1
2x - 8y = -12 => Eqn. 2
Multiply Eqn. 1 by 2, and eqn. 2 by 4
8x - 6y = 4
8x - 32y = -48
Subtract
26y = 52
y = 52/26
y = 2
Substitute y = 2 into eqn. 1
4x - 3(2) = 2
4x - 6 = 2
4x = 2 + 6
4x = 8
x = 8/4
x = 2
Solution to system N = (2, 2)
giving brainliest *easy*
Answer:
pi
Step-by-step explanation:
to convert angles to radians you must multiply the angle measurement by the formula pi/180
180 x pi/180
the 180s cancel out and you are left with pi
Answer:
3.14159 Radian
Step-by-step explanation:
3.142rad × 180/π = 180°
need help geometry question
Answer:
okay the answer 13.02 enjoy
Which equation represents a line which is parallel to the y-axis?
X=-4y
Y=x-3
Y=-7
X=-8
Answer:
x = -8
Step-by-step explanation:
If the line is parallel to the y axis, that means it will be a vertical line.
Vertical lines have an equation of x = , because the line will only go through one x value.
They also will not have a slope, because their slope is undefined.
So, the correct answer is x = -8
4 = x + 12 PLEASE HELP QUICK
Answer:
x= -8
Step-by-step explanation:
Move the terms
Calculate: -x=12-4 = -x=8
Change the signs
Solve for x. 5000(2)^x = 3500(3)^x
Answer:
0.887966
Step-by-step explanation:
1. Divide by 3500
(5000/3500)(2^x) = (3^x)
2. divide by 2^x and simplify
10/7 = (3/2)^x.
3. apply 'ln' function
ln(10/7) = xln(3/2)
4. divide ln(3/2)
ln(10/7) / ln(3/2) = x
x = 0.87966
Story Problem:
Avery purchased 4 tacos and 2 burritos and her total cost was $21. Sasha purchased 4 tacos and 3 burritos
and her total cost was $26.50. What is the price of one burrito?
Answer:
Step-by-step explanation:
Let tacos be x and burritos be y
So, Avery purchased 4x+2y = 21
Sasha purchased 4x+3y = 26.5
Solving the 2 eqns:
4x+2y=21
-4x-3y=-26.5
-y=-5.5
The cost of one burrito is $5.5