Answer:
[tex]\boxed{\boxed{\pink{\tt \leadsto The \ Surface\ Area \ is \ 402.28\ in.^3. }}}[/tex]
Step-by-step explanation:Given that the the diameter of a cylinder is 8 inches. the height is 12 inches. And we need to find its surface area .
Hence here ,
Height = 12 inches Diameter of base = 8 inchesFigure :-
[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{4\ in.}}\put(9,17.5){\sf{12\ in.}}\end{picture}[/tex]
[tex]\bf\implies TSA_{Cylinder}= 2\pi r ( r + h) \\\\\bf\implies TSA_{Cylinder} = 2\pi \dfrac{8\ in.}{2} \bigg( \dfrac{8\ in.}{2} + 12 in.\bigg)\\\\\bf\implies TSA_{Cylinder} = 2\pi \times 4 ( 4 \ in.+ 12 \ in.) \\\\\bf\implies TSA_{Cylinder}= 8 \times \dfrac{22}{7}\times 16 in.^3 \\\\\bf\implies\boxed{\red{\bf TSA_{cylinder}= 402.28 in.^3}}[/tex]
★ Hence the Surface area of the Cylinder is 402.28 in.³ .A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The surface area of the cylinder is 402.124 inches².
What is a cylinder?A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.
The surface area of a cylinder is the sum of the area of the base and the lateral area of the curved cylinder.
Given that the diameter of the cylinder is 8 inches, while the height of the cylinder is 12 inches. Since the radius is half the length of the diameter. Therefore, the radius of the given cylinder is 4 inches.
Now, the surface area of the cylinder is,
Surface area of the cylinder = Area of the bases + Area of the curved surface
= 2(πr²) + 2πrh
= 2(π × 4²) + (2 × π × 4 × 12)
= 2(50.265) + 301.5928
= 100.5309 + 301.5928
= 402.124 inches²
Hence, the surface area of the cylinder is 402.124 inches².
Learn more about Cylinder here:
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Write an equivalent expression
8x - 6x + 10y + 6 + 4y + 9 = ?x + ?y + ?
Answer: 2x + 14y + 15
Step-by-step explanation:
8x - 6x + 10y + 6 + 4y + 9
Bring like terms together
8x - 6x + 10y + 4y + 6 + 9
Combine like terms
2x + 14y + 15
Hope this helped!
If x < 0 and y > 0, determine the sign of the real number. (a) x y positive negative (b) xy2 positive negative (c) x − y xy positive negative (d) y(y − x) positive negative
Answer:
From the question it is given that x<0 and y>0 or in other words x is negative and y is positive.
(a)x y : x is negative and y is positive
⇒negative x positive = negative
Therefore, xy is negative
(b)x[tex]y^{2}[/tex] : x is negative and [tex]y^{2}[/tex] is positive
⇒negative x positive = negative
Therefore, x[tex]y^{2}[/tex] is negative
(c) (x − y)xy : x is negative and [tex]y^{2}[/tex] is positive
⇒(x − y) is negative and xy is negative {from (a)}
⇒negative x negative = positive
Therefore, (x-y)xy is negative
(d) y(y − x): x is negative and y is positive
here y - x is positive
⇒positive x positive = positive
Therefore, (y-x)y is negative
Which decimal is less than 0.47
(0.38) (0.9) (0.64) (0.5)
Answer:
0.5
Step-by-step explanation:
just divide in a calculator
Answer:
0.38
Step-by-step explanation:
Look at the tenths decimal place to compare
3 is less than 4
9 is greater than 4
6 is greater than 4
5 is greater than 4
The only one less than 4 is 3 which corresponds to the decimal 0.38
To decorate her bedroom, Lisa spent $62.89 on new bedding, $48.26 on paint, and $81.99 on accessories. About how much did she spend to decorate her bedroom? (1 point)
Question 3 options:
1)
$190
2)
$210
3)
$230
4)
$300
Answer:
3 because it makes a of sense
Step-by-step explanation:
Sum of the radius of the base and height of a cylinder is 21 cm and the curved surface area of the cylinder is 616 sq.cm,find the total surface area of the cylinder.
Answer:
925.04cm²
Step-by-step explanation:
Curved surface area of a cylinder = 2πrh
r is the radius
h is the height
If the sum of the radius of the base and height of the cylinder is 21 cm, then;
r + h = 21
r = 21-h..... 1
Recall:
CSA = 2πrh
616 = 2πrh ....2
Substitute equation 1 into 2;
616 = 2π(21-h)h
616 = 2π(21h-h²)
616 = 42(3.14)h - 2(3.14)h²
616 = 131.88h - 6.28h²
98.09 = 21h - h²
h²-21h+98.09 = 0
h = 21±√21²-4(98.09)/2
h = 21±√441-392.36/2
h = 21±√48.64/2
h = 21±6/97/2
h = 21+6.97/2 and 21-6.97/2
h = 27.97/2 and 14.03/2
h = 13.985 and 7.015
Since r = 21-h
r = 21 - 13.985
Using r = 7.015
The total surface area = 2πrh + 2πr²
The total surface area = 616 + 2(3.14)7.015²
The total surface area = 616 + 309.04
The total surface area = 925.04
Hence the total surface area of the cylinder is 925.04cm²
Given \qquad m \angle QPS = 107^\circm∠QPS=107 ∘ m, angle, Q, P, S, equals, 107, degrees \qquad m \angle RPS = 4x + 27^\circm∠RPS=4x+27 ∘ m, angle, R, P, S, equals, 4, x, plus, 27, degrees \qquad m \angle QPR = 9x - 115^\circm∠QPR=9x−115 ∘ m, angle, Q, P, R, equals, 9, x, minus, 115, degrees Find m\angle QPRm∠QPRm, angle, Q, P, R:
Answer:
20°
Step-by-step explanation:
4x+27°+9x-115°=107°
4x+9x + 27°-115°=107°
13x-88°=107°
add 88 on both sides
13x=195°
divide 13 on both sides
x=15
9(15°)-115°
135°-115° = 20
The answer is 20
Answer:
20
Step-by-step explanation:
What percent of 30 is 16.5
Answer:
Its 55
Step-by-step explanation:
hope this helps
Answer:
55%
Step-by-step explanation:
Hope this helps you :)
Have a great day!
What value of x makes the equation true 7+2x=4x-5
Answer:
6
Step-by-step explanation:
Fact
Answer:
x=6
Step-by-step explanation:
1. 7+2x=4x-5
2. 7+2x-2x=4x-5-2x
7=2x-5
12=2x
x=12/2
x=6
Jose has $20 and is saving $6 per week. Ana has $150 and is spending $4 per
week. When will they both have the same amount of money?
Each figure shows a triangle with one of its angle bisectors.
Answer:
x = 7
Step-by-step explanation:
XP bisects <X into two equal parts, <1 and <2. Therefore,
<1 = <2
<1 = 5x - 2
<2 = 4x + 5
Thus:
5x - 2 = 4x + 5
5x - 2 - 4x = 5 (subtraction property of equality)
x - 2 = 5
x = 5 + 2 (addition property of equality)
x = 7
Choose the equation and the inequality needed to answer this question. Trevor tutors French for $15 and hour and scoops ice cream for $10 an hour. He is going to work 15 hours this week. At least how many hours does he need to tutor to make more than $180? Let x equal the number of hours he tutors and y be the number of hours he scoops ice cream.
Answer:
One second let me look it up for u :)
Step-by-step explanation:
Answer:
Total number of hours = 15
Let the hours spent tutoring french be x.
Therefore hours spent on scooping ice cream = (15 - x)
Amount: Tutoring french is $15 an hour, total for x hours = 15x
For scooping ice cream it is $10 an hour 10*(15 - x) = 150 - 10x
To make more than $180
15x + (150 - 10x) > 180
15x + 150 - 10x > 180
15x - 10x > 180 - 150
5x > 30
x > 30/5
x > 6
trevor needs to tutor 6 hours to make more than 180
Step-by-step explanation:
I hope this helped :)
A professor gives a test to a large class. The time limit for the test is 50 minutes, and the first student to finish is done in 35 minutes. The professor assumes that the random variable T for the time it takes a student to finish the test is uniformly distributed over [35, 50]. At what time T will 60% of the students be finished with the test?
Answer: at 44 minutes, 60% of the students will be finished with the test
Step-by-step explanation:
Given the data in the question;
we have a uniform distribution between 35 and 50
so
50 - 35 = 15
now, we simply multiply 15 by 60%; 15 × 0.6 = 9
so after 9 minutes, 60% percent of the students are done
Hence, 9min + 35 min = 44 minutes
Therefore at 44 minutes, 60% of the students will be finished with the test
The time T when 60% of the students will be finished with the test is 44 minutes.
What is the percentage?The percentage is the value per hundred.
The time limit for the test = 50minute
The first student finishes in 35 minutes
The last student finishes in 50 minutes
So the difference between time = 15 minutes
It is given that the time it takes a student to finish the test is uniformly distributed over [35, 50].
So, the time T when 60% of the students will be finished with the test
T=35 + 60% of 15 minutes
T= 35 + 60*15/100
T= 44 minutes
Therefore, the time T when 60% of the students will be finished with the test is 44 minutes.
To get more about the percentage visit:
hi help me who is genius this question what are acc that should be Cr and Dr and how will the ledger will be done also a little help will be helpfull
Which order pairs are solution to the inequality Y-3x<-8
Answer:
your answer are c and d hope it helps .
How long should $1,000 be invested compounded
bimonthly to produce a final balance of $2,000 at
4.15%?
A. 16.70 years
B. 16.72 years
C. 16.76 years
D. 16.73 years
Answer: B. 16.72 years
Step-by-step explanation:
If interest is compounded bi-monthly, the formula to calculate the accumulated amount (A) is given by:-
[tex]A=P(1+\dfrac{r}{24})^{24x}[/tex] , where P = principal , r= rate of interest, x= time period(years).
[1 year =12 months, total periods in 12 months if period per month is 2 = 2 x 12 =24]
Given: P= 1000, A= 2000, r= 4.15% = 0.0415
Substitute all values in formula , we get
[tex]1000\times (1+\dfrac{0.0415}{24})^{24x}=2000\\\\\Rightarrow\ (1.00172916667)^{24x}=2\\\\\text{Taking log on both sides, we get}\\\\\Rightarrow \ln(1.00172916667)^{24x}=\ln2\\\\\Rightarrow 24x\ln(1.00172916667)=\ln2\\\\\Rightarrow\ x=\dfrac{\ln 2}{24\ln(1.00172916667)}\approx16.72\ years[/tex]
Hence, option B. is correct.
Roberto has run the first 18 miles of a race, which means he is 72% finished. How long is the race
Answer:
25 miles
Step-by-step explanation:
18 ÷ 72% =
18 ÷ (72 ÷ 100) =
(100 × 18) ÷ 72 =
1,800 ÷ 72 =
25
Circle A has a circumference of B centimeters.
Circle C’s diameter is 3 times as long as circle A’s diameter.
What is the circumference of circle B?
Circle B has a diameter that is 1 1/2 times as long as Circle A's diameter. What is the circumference of Circle B? Solution. 4 m. If the diameter ...
Use this table to match the molecules with their estimated masses.
Atom Mass (in grams)
hydrogen 1.67 × 10-24
oxygen 2.66 × 10-23
carbon 1.99 × 10-23
nitrogen 2.32 × 10-23
Answer:
7.31 x 10^-23
Answer: CO2 (1 atom of carbon and 2 atoms of oxygen)
3.34 x 10^-24
Answer: H2 (2 atoms of hydrogen)
2.821 x 10^-23
Answer: NH3 (1 atom of nitrogen and 3 atoms of hydrogen)
7.64 x 10^-23
Answer: NO2 (1 atom of nitrogen and 2 atoms of oxygen)
Step-by-step explanation:
hope this helps :)
7.31 x 10^-23 = CO2 i.e. 1 atom of carbon and 2 atoms of oxygen
3.34 x 10^-24 = H2 (2 atoms of hydrogen)
2.821 x 10^-23 = NH3 (1 atom of nitrogen and 3 atoms of hydrogen)
7.64 x 10^-23 = NO2 (1 atom of nitrogen and 2 atoms of oxygen)
Learn more: https://brainly.com/question/4804019?referrer=searchResults
helpppp nowww plsss!!
Answer:
6/10
Step-by-step explanation:
6/10
What is the probability of rolling a multiple of 3 on a 6-sided die?
Answer:
33% or 1/3 ...............
Can someone help please!
Answer:
650
Step-by-step explanation:
because it says that she earns 50 for each hour so if u multiple 50×13 u get =650
Which statements are true? Check all that apply.
On a coordinate plane, point A is (2, 3), point B is (3, 2), point C is (negative 2, 2), point D is (negative 3, negative 3), point E is (0, 3), point F is (2, 0), and point G is (0, 0).
A is in Quadrant I.
B is on the x-axis.
C is in Quadrant I.
D is in Quadrant III.
E is on the x-axis.
F is on the x-axis.
G is on the y-axis. Please anwser quick!!!!
Given:
A(2, 3)B(3, 2)C(-2, 2)D(-3, -3)E(0, 3)F(2, 0)G(0, 0)Let's first understand the different signs and different quadrants.
Quadrant I: (+, +)Quadrant ll: (-, +)Quadrant III: (-, -)Quadrant IIII: (+, -)Verifying them with the given points,
A is in Quadrant I. - TRUEB is on the x-axis. - FALSEC is in Quadrant I. - FALSED is in Quadrant III. - TRUEE is on the x-axis. - FALSEF is on the x-axis. - TRUEG is on the y-axis. - FALSEHope it helps. :)
Answer:
A D F
Step-by-step explanation:
All credit to him
In a hotel, Elevator 1 stops at the third floor at an elevation of 40ft. Elevator 2 stops at the parking level at an elevation of -25ft.
How far apart, in feet, are the two elevators? Show or explain your work.
PLEASEEE ANSWER!!!
Answer:
65 ft
Step-by-step explanation:
Negative and positive numbers can be expressed as how far away they are from zero.
40 is 40 units away from zero. Elevator 1 is 40 units from 0.
-25 is 25 units away from zero. Elevator 2 is 25 units from 0.
To find the distance, we'll add their distances from 0.
40 + 25 = 65
They are 65 units apart. In your problem you specify feet, so they are 50 ft apart.
What is the quotient of 63 and 0
Answer:
0
Step-by-step explanation:
Something divided OR multiplied by 0 always ends with 0
Answer:
63/7 = 9.
I think
Hope this helps
expend log10 (x³y⁵)
Answer:
3log(x) + 5log(y)
Step-by-step explanation:
[tex] log({x}^{3} {y}^{5} ) \\ = log( {x}^{3} ) + log( {y}^{5} ) \\ = 3 log(x) + 5 log(y) [/tex]
Given the graph below, write the equation for the line in slope - intercept form.
1
2
A y = 22 + 2
B y = x + 1
C y= -2x - 2
D y= -2x +2
Answer:
A
Step-by-step explanation:
slope is -,y-intercept is 2
y=+mx+2
A
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
What is the solution set of this inequality?
Answer:
(-3,1) U (3,8) is the right answer.Please solve the question below
Answer:
AB = 14 units
∠F = 39°
Step-by-step explanation:
Given:
ΔABC ≅ ΔDEF
So,
AB = ED (By CPCT)
So,
AB = 14 units
∠C = ∠F (By CPCT)
∠F = 39°
Use algebraic rules to show that n(n+1)+2n +2 is equivalent to (n+1)(n+2)
Answer:
This question is asking us to solve both of these equations, so let's do exactly that!
First equation:
[tex]n(n+1)+2n+2\\n^2+1n+2n+2\\n^2+3n+2[/tex]
Second Equation:
[tex](n+1)(n+2)\\n^2+2n+1n+2\\n^2+3n+2[/tex]
Both of the equations result with the same answer, therefore n(n+1)+2n+2 is equivalent to (n+1)(n+2).
Hope that helped! :)
Evaluate the following: (½)(10) −(−12) −25
Answer:
-8
Step-by-step explanation:
1/2 times 10 is 5. and a negative times a negative is a positive, so you have a positive 12, which becomes 5+12-25, which is -8