[tex] \qquad \qquad\large\rm{Together \: We \: Go \: Far!} \\ \qquad \qquad \sf \small{\red{♡}\:Swifties\:\red{♡}}[/tex]
Question :-
A cylinder has a radius of 6 in and a height of 10 in. What is the surface area of this cylinder?Answer :-
The surface area of the cylinder is 602.88 in².[tex] \rule{180pt}{3pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{6 \: in}}\put(9,17.5){\sf{10 \: in}}\end{picture}[/tex]
Solution :-
As per the provided information in the given question, we have been given that the radius of the cylinder is 6 in. The height of the cylinder is 10 in. We have been asked to find or calculate the surface area of the cylinder.
To calculate the surface area of the cylinder, we will use the formula below :-
[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh \:\:}}[/tex]
Substitute the given values into the above formula and solve for surface area:
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh[/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(6 \: in)^2 + (2)(3.14)(6 \: in)(10\:in) [/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(36 \: in^2) + (2)(3.14)(60\:in^2) [/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(113.04 \: in^2) + (2)(188.4 \: in^2) [/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 226.08 \: in^2 + 376.8 \: in^2 [/tex]
[tex]\sf:\implies \bf{Surface \: Area_{(Cylinder)} = 602.88 \: in^2}[/tex]
Therefore :-
The surface area of the cylinder is 602.88 in².[tex]\\[/tex]
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Have a great day! <33
[tex]2x^{2} + 3 = 5[/tex]
Could someone please walk me through this equation?
Answer:
x = 1
Step-by-step explanation:
2x^2 + 3 = 52x^2 = 5 - 32x^2 = 2x^2 = 2/2 x = \| 1 x = 1The table and graph shows the height and weight of 10 basketball players. Which statement is true
Answer:
"a 72 inch player would probably weigh about 160 pounds"
Step-by-step explanation:
y = x² - 6x +9 discriminant
Answer:
discriminant equals zero
Step-by-step explanation:
b² - 4ac where a = 1, b = -6, and c = 9
(-6)² - 4(1)(9) = 36 - 36
Element X is a radioactive isotope such that every 13 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 60 grams, how much of the element would remain after 30 years, to the nearest whole number?
Answer:
12
Step-by-step explanation:
60(1/2)^30/13 = 12.118996
Which number sentence states that x is at most 50?
A. x < 50
B. * < 50
C. x = 50
D. x > 50
E. x > 50
PLS PLS PLS PLS HELP!
Determine whether each expression is equivalent to (10 X 18) + (10 X s).
Choose Yes or No for each expression.
A 190 XS
B 20 x 18s
C 180 + 10s
(10 + 10) x (18+ 8)
D
E 10(18+ s)
Answer:
c
Step-by-step explanation:
that's the only one i could get i think i dont know im not good at math..... sorry if i didn't help
Angle Relationships
Answer:
In Geometry, there are five fundamental angle pair relationships:
Complementary Angles.
Supplementary Angles.
Adjacent Angles.
Linear Pair.
Vertical Angles.
The measure of the angle u and angle t will be 29 degrees.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The angle u is congruent to angle t.
From the diagram, angle t, angle u, and angle 122 are supplementary angles. Then the equation is given as,
∠t + ∠u + 122° = 180°
∠t + ∠t = 58°
2∠t = 58°
∠t = 29°
The measure of the angle u and angle t will be 29 degrees.
More about the angled link is given below.
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The number of miles that a particular car can run before itsbattery wears out is exponentially distributed with an averageof 10,000 miles.Problems1. The mean of a probability distribution, , is given by . Find given that theaverage of this exponential distribution is 10,000.
Answer:
[tex]\lambda=10000[/tex] miles
Step-by-step explanation:
We are given that
[tex]\beta=10000 miles[/tex]
Exponential distribution function
[tex]f(x)=\frac{1}{\beta}e^{-\frac{x}{\beta}}, x\geq 0[/tex]
0, otherwise
Using the formula
[tex]f(x)=\frac{1}{10000}e^{-\frac{x}{10000}},x\geq0[/tex]
0, otherwise
[tex]E(x)=\int_{-\infty}^{\infty}xf(x) dx[/tex]
Using the formula
[tex]\lambda=E(x)=\frac{1}{10000}\int_{0}^{\infty}xe^{-\frac{x}{10000}}dx[/tex]
[tex]\lambda=\frac{1}{10000}([-10000xe^{-\frac{x}{10000}}]^{\infty}_{0}+10000[-10000e^{-\frac{x}{10000}}]^{\infty}_{0})[/tex]
Using formula
[tex]\int u\cdot vdx=u\int vdx-\int (\frac{du}{dx}\int vdx)dx[/tex]
[tex]\lambda=\frac{1}{10000}(0-(10000)^2(0-1))=10000[/tex]
Hence, the value of [tex]\lambda=10000[/tex] miles
Which of the following shows 16/12 as a mixed number and 1 5/8 as an improper fraction?
last year, a popular mobile app was downloaded 2.47 x 10^8 times. write the number of times the app was downloaded in slandered form
Answer:
247000000
Step-by-step explanation:
10^8 = 10×10×10×10×10×10×10×10
=100000000
or, downloaded=100000000×2.47
=27000000
Answer: 453 more downloads 1,547 more downloads
7,549 more downloads 435 more downloads ( it will be one of these answers pls help me im doing a quiz) ~cries cutely~
Step-by-step explanation:
An app was downloaded 3,548 times last week. This week the app was downloaded 4,001 times. How many more downloads did the app have this week than last week
Evaluate the expression |31 - 2u1 + 50 ift=2
*=-5, and o
Answer:
2
Step-by-step explanation:
t=-2
(2(-2)-3)+9
(-4)-3+9
-7+9
2
Mario is planning a charity dinner. Each table costs $50 and each chair costs $7 to rent. The other costs of the dinner are $475. Let t represent the number of tables and let c represent the number of chairs. Write the expression to represent the situation and explain how you got your answer.
Answer:
Cost of Dinner = 50t + 7c + 475
Step-by-step explanation:
"t" represents tables and they cost $50 each, so the algebraic expression would be "50t" ($50 times the number of tables).
Same applies to chairs; "7c" ($7 times the number of chairs).
The $475 represents the other costs added to the total.
So the expression to represent this problem would be at the total cost of the charity dinner is 50t (50 dollars per table) plus 7c (7 dollars per chair) and $475 for other costs.
The length of a rectangle is 100
cm, and its perimeter is greater
than 300 cm. Write an
inequality and solve for the
width (w).
Answer:
[tex]P = 2(l + w) \\ 2(l + w) > 300 \\ 2(100 + w) > 300 \\ 100 + w > 150[/tex]
For width
[tex]100 + w > 150 \\ w > 150 - 100 \\ w > 50 \: cm[/tex]
You use a garden hose to fill a wading pool. If the water level rises 13 centimeters every 3 minutes and you record the data point of (9,y), what is the value of y? Use slope to justify your answer.
Answer:
The rate of change at which the water level rise is 13/6 cm/minute.The slope of the line is 13/6.The value of y is 23, (12,23).
Find the measures of the interior angles.
A
68°(x - 24)
С
B.
ZA =
ZB =
ZC =
PREV
A full container has 2 1/2 gallons of juice. A serving is 1/16 gallon of juice. How many servings of juice are in the container?
Answer:
40 servings
Step-by-step explanation:
2 1/2 / 1/16 = 5/2 x 16/1 = 80/2 = 40
11 13 Which angles form a linear pair?
PRL and LRM
ORP and MRN
MRN and NRO
LRP and ORP
dont mind what was selected in the photo
Answer:
< MRN and < NRO
Step-by-step explanation:
Recall that angles which forma linear pair ae those whose addotion gives 180 degrees (a line).
So in our case these are: < MRN and < NRO
Need a little help pleaseeee
Answer:
last one I think
Step-by-step explanation:
jejejeiwneieneisnsisneiwnsisna
Identfy the equation that translates Y= In(x) five units down.
y= In(x-5)
y= In(x)+5
y= In(x+5)
y= In(x)-5
Please please help me
Answer:
y= In(x)-5
Step-by-step explanation:
What is this expression in simplified form?
(-7/3)(11VIO)
OA. -4625
OB. 77/30
OC. -V2,310
OD. -231/10
Answer:
B
Step-by-step explanation:
if you have a scientific calculator or you can also your phone it will show you the answer.
The value of expression in simplified form is,
⇒ - 77√30
The given expression is,
⇒ (- 7 √3) × (11 √10)
We can simplify it by multiply like terms,
⇒ (- 7 √3) × (11 √10)
⇒ (- 7 × 11) × (√3 × √10)
⇒ - 77 × √30
⇒ - 77√30
Therefore, The value of expression in simplified form is,
⇒ - 77√30
Learn more about the multiplication visit:
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A rectangular bathroom floor is covered with square tiles that are 1 LaTeX: \frac{1}{2}1 2 feet by 1 LaTeX: \frac{1}{2}1 2 feet. The length of the bathroom floor is 10 LaTeX: \frac{1}{2}1 2 feet and the width is 6 LaTeX: \frac{1}{2}1 2 feet. a) How many tiles does it take to cover the length of the floor?
Answer:
273 tiles
Step-by-step explanation:
Given
Square tile
[tex]Side=\frac{1}{2} ft[/tex]
Bathroom floor
[tex]Length = 10\frac{1}{2}ft[/tex]
[tex]Width = 6\frac{1}{2}ft[/tex]
Required
Determine the number of tiles to cover the floor
First, we calculate the area of the floor:
[tex]A_{floor} = Length * Width[/tex]
[tex]A_{floor} = 10\frac{1}{2} * 6\frac{1}{2}[/tex]
Convert to decimals
[tex]A_{floor} = 10.5 * 6.5[/tex]
[tex]A_{floor} = 68.25ft^2[/tex]
Next, we calculate the area of the square tile:
[tex]A_{tile} = Side * Side[/tex]
[tex]A_{tile} = \frac{1}{2} * \frac{1}{2}[/tex]
Convert to decimal
[tex]A_{tile} = 0.5 * 0.5[/tex]
[tex]A_{tile} = 0.25ft^2[/tex]
The number of tiles is then calculated as:
[tex]Tiles = \frac{A_{floor}}{A_{tile}}[/tex]
[tex]Tiles = \frac{68.25ft^2}{0.25ft^2}[/tex]
[tex]Tiles = \frac{68.25}{0.25}[/tex]
[tex]Tiles = 273[/tex]
divide: 5/8 divided by 3/4
Answer:
5/6 the answer is 5/6
Answer:
5/6
Step-by-step explanation:
5/6 is the answer because 5/8 divided by 6/8 makes it 5/6.
Joy’s garden produced 447 green beans. Sammy’s garden produced 392 green beans. About how many green beans did Joy and Sammy’s gardens produce in total?
Answer:
its 839 because it says in total-
Answer:
839
Step-by-step explanation:
M(x) = -7x-9 find m(1)
Answer: m=-7/9
Step-by-step explanation: You multiply them by 1 and it divided by themselves again.
Answer:
x = -10/7
Step-by-step explanation:
Start by replacing M(x) with m(1)
so you get...
1 = -7x - 9
+9 +9
10 = -7x
/-7 /-7
x = -10/7
Which of these functions has a greater rate of change than the function graphed below, and why?
12.
9
-12
-9
-6
-3
3
9
12
3
16
-9
-12
y = 2x + 12, because the rate of change of the graphed function is 9
O y = 2x + 12, because the rate of change of the graphed function is 3
O y = 10x + 1, because the rate of change of the graphed function is 3
O y = 10x + 1, because the rate of change of the graphed function is 9
Answer:
the answer is the first one
Step-by-step explanation:
becuse im doing it rn
Answer:
it's A
Step-by-step explanation:
i took the test
PLSS HELP
Solve each system using SUBSTITUTION. Remember to check!
2) y = –2x – 1
y = 3x – 16
Answer:
(3, -7)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define Systems
y = -2x - 1
y = 3x - 16
Step 2: Solve for x
Substitution
Substitute in y: -2x - 1 = 3x - 16Add 2x on both sides: -1 = 5x - 16Add 16 on both sides: 15 = 5xDivide 5 on both sides: 3 = xRewrite: x = 3Step 3: Solve for y
Define equation: y = -2x - 1Substitute in x: y = -2(3) - 1Multiply: y = -6 - 1Subtract: y = -7Step 4: Graph Systems
We can check the solution set to the systems of equations.
Where the 2 lines intersect is the solution set to the systems of equations.
The 2 lines and our algebraically solved solution sets are the same.
What is the value of x in the figure shown below?
in Ethiopia there are 20 premier league soccer teams. in one round how many games are there?
Answer:
190 games
Step-by-step explanation:
²⁰C₂ = 20!/[(20 - 2)! * 2!] = 190
The number of games that should be there is 190 games.
Calculation of the number of games:Since in Ethiopia, there are 20 premier league soccer teams.
So here we used the combination
i.e.
= ²⁰C₂
= 20!/[(20 - 2)! * 2!]
= 190
A combination refers to the mathematical technique where it measures the no of possible arrangements where the selection order should not be considered. It can be selected in any sequence.
hence, we can conclude that The number of games that should be there is 190 games.
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'One-third of a number added to itself gives 8', can be expressed as ----
12
Answer:
1/3x+x=8
Step-by-step explanation:
1/3x+x=8 x is number
a charter bus holding 80 passengers costs $59.50 an hour. If a round trip took 5 hours, what did it cost each passenger (round to the nearest cen
Answer:
$23,800
Step-by-step explanation:
59.5 x 5 x 80 = $23,800
