Question :-
A Cylinder has a Radius of 3 Ft and a Height of 5 Ft . Find the Volume .Answer :-
Volume of Cylinder is 141.42 Ft³ .Explanation :-
As per the provided information in the given question, we have been given that the Radius of the Cylinder is 3 Ft . The Height is given as 5 Ft . And, we have been asked to calculate the Volume of Cylinder .
For calculating the Volume , we will use the Formula :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: Volume \: _{Cylinder} \: = \: \pi {r}^{2}h \: }} [/tex]
Where ,
R denotes to RadiusH denotes to HeightTherefore , by Substituting the given values in the above Formula :-
[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \pi {r}^{2}h } [/tex]
[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \dfrac {22}{7} \: \times \: ({3})^{2} \: \times \: 5 } \\ [/tex]
[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \dfrac {22}{7} \: \times \: 9 \: \times \: 5 } \\ [/tex]
[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \dfrac {22\: \times \: 9 \: \times \: 5 }{7}} \\ [/tex]
[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \dfrac { \: 990 \: }{7}} \\ [/tex]
[tex] \Longrightarrow \: \: \: \bf { Volume \: _{Cylinder} \: = \: 141.42 } [/tex]
Hence :-
Volume of Cylinder = 141.42 Ft³ .[tex] \underline {\rule {180pt}{4pt}} [/tex]
Answer:
Volume of cylinder is 141.3 ft³ ( Taking value of π as 3.14 )
Step-by-step explanation:
Question : -A cylinder has a radius of 3 ft and a height of 5 ft. Find the volume .
Given : - Radius of cylinder = 3 ftHeight of cylinder = 5 ft To Find : -We have to , volume of Cylinder .
Formula Used : -[tex] \boxed{ \sf{Volume \: of \: Cylinder = \pi r {}^{2} h }}[/tex]
Where ,
π = 3.14r = radius of cylinderh = height of cylinder Solution : -[tex] \longrightarrow \: \pi r {}^{2} h[/tex]
Now , substituting values of radius and height :
[tex]\longrightarrow \: 3.14 \times (3) {}^{2} \times 5[/tex]
Now , calculating :
[tex] \longrightarrow 3.14 \times 9 \times5 [/tex]
Firstly , multiplying 9 and 5 :
[tex]\longrightarrow \: 3.14 \times 45[/tex]
Atlast , multiplying 3.14 and 45 :
[tex] \longrightarrow \: \bold{ 141.3}[/tex]
[tex] \red{ \boxed{ \rm{Therefore , \: volume \: of \: cylinder \: is \: 141.3 \: ft {}^{3} }}}[/tex]
#Keep LearningFind the ratios of the quantities below and write them in the form a/b (a over b)
1. 8cm and 17cm
2. 3800$ and 1500$
3. 1 1/2 day and 13 hours
Answer:
Hope the picture will help you
In a right triangle, cosine a = 0.352 and sine a = 0.936. what is the approximate value of tangent a? 0.329 0.376 1.288 2.659
The value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.
What are the trigonometric ratios?Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle. The value of tangent of angle is equal to the ratio of sine of that angle to the cosine of that angle.
[tex]\tan\theta=\dfrac{\sin\theta}{\cos\theta}[/tex]
Here, θ is the angle.
The value of angle given in the problem are,
Cosine a = 0.352 Sine a = 0.936.Put these values in the above fromula as,
[tex]\tan (a)=\dfrac{\sin(a)}{\cos(a)}\\\tan (a)=\dfrac{0.936}{0.352}\\\tan(a)=2.659[/tex]
Hence, the value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.
Learn more about the trigonometric ratios here;
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Answer:
D(2.659)
Step-by-step explanation:
got it right on edg
Can someone please help me on this?
Answer:
see image
Step-by-step explanation:
You graph a piecewise function just like three separate graphs. See where there is a greater than > or less than < symbol (without the "or equal to" line underneath) these will have open circle endpoints. See image.
Ty and Leo are walking along linear routes in a city. On a map of the city, Ty's route passes through the coordinates (-1, 3) and (0, 1) and Leo's route passes through the coordinates (1, 4) and (0, 2). Will Ty and Leo pass through a common coordinate, walk along the same route, or never cross routes?
Answer:
Step-by-step explanation:
hello .....
note : the slope of the line (AB) is :
m = (YB -YA)/(XB - XA)
in this execice given A (-1, 3) and B(0, 1)
m1= (1-3)/(0+1) so : m1= -2
same method for the line (CD) : m2 = (4-2)/(1-0) and C(1;4) D(0;2)
so: m2 = 2
conclusion : m1 ≠ m2
Will Ty and Leo pass through a common coordinate,
Jenny packaged 108 eggs in 9 cartons. Write this statement as a rate
Answer:
12 eggs/carton
Step-by-step explanation:
The desired rate is (108 eggs) / (9 cartons) = 12 eggs/carton
Can someone please help me on this
Answer:
1. Colored men
2. Not really sure, but maybe on a wall ??
3. To notify colored men what the president proclaimed
Step-by-step explanation:
Which graph line represents an equation of a line with a slope of -2 and a point on the line of (-1, 2)
Answer:
purple
Step-by-step explanation:
Are the given vectors normal? a = < 5 , − 2 > and b = < 6 , 15 > Equation editor does not include the grouping symbols " < " and " > " that are necessary for writing a vector in component form. For this question, use braces to write a vector in component form. For example, the vector < 2 , 3 > should be written as { 2 , 3 } .
Answer:
Yes.
Step-by-step explanation:
Yes. They are normal
What percent is equivalent to 24\50? 24% 48% 50% 52%
Answer:
48%
Step-by-step explanation:
If you convert 24/50 to a percentage the answer is 48%
[tex] \frac{24}{50} [/tex]
to find:the equivalent percent.
solution:[tex] \frac{24}{50} [/tex]
[tex] = 0.48[/tex]
[tex]0.48 \times 100\%[/tex]
[tex] = 48\%[/tex]
therefore, the equivalent percent of 24/50 is 48%
Kristine wants to do hardwood flooring for her room. A floor plan of the room (in feet) is shown. How much hardwood flooring does she need?
Kristine would require at least 116ft of hardwood flooring for her room.
The answer is arrived at by using simple calculations of the area of a square - a polygon.
How do we arrive at the answer above?Note that there are missing portions on the shape of the floor. (See a more elaborate version attached).
The side labeled F = 12ft
The side labeled CDE comprises three sides: 8, 2, and 2 respectively. This is also equal to 12.
With this information, we can calculate the area of the square assuming it was full.
The area of a square is given as:
Length x Breadth or L²;
that gives us: 12 x 12 or 12² = 144ft.
Now we get the total actual area by removing the areas of the missing segments.
Section Ax and Ay is also a square. because the length and the breadth are equal.
hence the area of AxAy = 16ft.
We also have the area of the section labeled D,Dx. This section is a rectangle. The formula for the area of a rectangle is:
Length x Breadth.
Hence, we have
6 x 2 = 12ft.
Total area of missing sections are:
12 + 16 = 28ft.
The total area of the square less the missing areas is:
144 - 28 = 116ft.
Hence the total amount of Hardwood that Kristine would require in square ft is 116ft.
See the attached images and learn more about areas of polygons at:
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How many whole groups of 63 go into 504?
I will mark brainliest answer!
I need help!!!!! 4. Determine 3 possible solutions to the inequality below
Answer:
5,6,7
Step-by-step explanation:
the unfilled circle means that you dony inclued 4, and since the blue line is going u the scale means it can be any number higher than 4
In the figure below, triangle B C A tilde triangle S T R. Find cos T comma sin T comma and tan T. Round your answers to the nearest hundredth.
Donal buys a 1/4 pound package of cheese. There are 8 slices of cheese in the package. Each slice has the same wieght. What fraction of a pound is each slice?
Answer:
1/32 lb per slice
Step-by-step explanation:
We want the pounds per slice, or lb/slice.
We have 0.25 lbs and 8 slices, so: (0.25 lb/8 slices)
(0.25 lb/8 slices) = (1/8)(0.25)
(1/8)(0.25)(4/4) = 1/32 lb per slice
Check:
(8 slices)*(1/32 lb/slice) = 8/32 lb
8/32 = 1/4 lb total YES
Chase brought 6 toys to school. That is 20% of all his toys. What is his total amount of toys?
Answer:
30
Step-by-step explanation:
20 % of his toys are 6. 20 % of a number could only be 100, 100 / 20 = 5
Multiply 5 by 6 and u get 30 :D
What is the answer to this math problem?
Answer:
7
Step-by-step explanation:
[tex]\dfrac{9 + 5}{2} \\\\\\= \dfrac{14}{2} \\\\\\= \dfrac{2 \times 7}{2} \\\\\\= \dfrac{7}{2 \div 2} \\\\\\= \dfrac{7}{1} \\\\\\= 7[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{9+5}{2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{14}{2}[/tex]
[tex]\\ \rm\Rrightarrow 14\div 2[/tex]
[tex]\\ \rm\Rrightarrow 7[/tex]
Done!
the table shows some ordered pairs that belong to quadratic function h
The table represents the quadratic function h(x)
The range of the quadratic function is (d) all real numbers greater than or equal to -8
How to determine the range?The range of the quadratic function is the list of the function ouput values.
From the table, we have:
The smallest output value is -8
Assume this is the vertex of the quadratic function, the range of the quadratic function would be (d) all real numbers greater than or equal to -8
Read more about range at:
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I need help on number 16 these instructions say to solve these equations by cross multiplying
Answer:
15. x = 4
16. a = 19
Step-by-step explanation:
"Cross multiply" essentially means "multiply both sides of the equation by the product of the denominators."
__
15.[tex]\dfrac{x}{6}=\dfrac{2}{3}\\\\3(x)=6(2)\qquad\text{"cross multiply"}\\\\\boxed{x=4}\qquad\text{divide by 3}[/tex]
This is an example of a problem in which cross-multiplying introduces the need for an extra step: divide by 3. Had we simply multiplied by the denominator of the x-term, we would have been finished in one step:
x = 6(2/3) = 4
That is, rather than multiplying by the product of the denominators, sometimes the problem can be solved more easily if you multiply by their least common multiple.
__
16.[tex]\dfrac{a+1}{a+5}=\dfrac{a-4}{a-1}\\\\(a-1)(a+1)=(a+5)(a-4)\qquad\text{"cross multiply"}\\\\a^2-1=a^2+a-20\qquad\text{simplify}\\\\\boxed{19=a}\qquad\text{add $20-a^2$}[/tex]
Ed Galaxy- Operations with whole numbers and decimals
Answer:
0.6
Step-by-step explanation:
1.0l-0.4l=0.6L
Can y’all help with this? Thanks
Answers:
Exponential decay model is y = 500*0.88^x
There is roughly 0.0000000000237 mL of the original air left.
There are 10 zeros between the decimal point and the '2'
The number in scientific notation is [tex]0.0000000000237 = 2.37 \times 10^{-11}[/tex]
=============================================================
Further Explanation:
A general exponential equation is
y = a*b^x
We start with 500 mL of air which is the value of 'a'
If 12% of the air is replaced, then 88% of it remains because 12% + 88% = 100%
Convert 88% to the decimal form 0.88 and this represents the base of the exponent. This is the value of b.
-------------
Since a = 500 and b = 0.88, we have
y = a*b^x
y = 500*0.88^x
Now we plug in x = 240 to estimate how much of the original air is in the lungs after that many breaths.
y = 500*0.88^x
y = 500*0.88^240
y = 0.0000000000237
This number is very small and to be expected since quite a bit of breaths have occurred. Nearly all of the original air particles should be replaced by this point. A very small trace amount remains.
Notes:
There are 10 zeros between the decimal point and the '2' in the number 0.0000000000237The number 0.0000000000237 is so small that it probably makes sense to use scientific notation to write [tex]0.0000000000237 = 2.37 \times 10^{-11}[/tex] meaning we move the decimal point 11 spots to the left to go from 2.37 back to 0.0000000000237The number 0.0000000000237 is read out as "237 ten-trillionths". Imagine splitting an object into ten trillion tiny pieces, and then shading 237 of those pieces to represent this decimal number.Pedro’s book weighs 194 pounds. blanca’s book weighs 177 pounds. use estimation to determine about how much more pedro’s book weighs than blanca’s.
(i dont know what you mean by that cause clearly just do 194 - 177 = 17 pounds)
Round 194 pounds to 190 ; 177 to 180
In estimation, Pedro's book weighs 190 - 180 = 10 pounds more.
190 : 180 = 1.06 times more.
The hours students reported practicing their instruments last grading quarter were 29, 20, 36, 44, 30, 32, and 40. The mean hours students reported practicing their instruments is . The mean absolute deviation for the data is .
Answer:
The hours students reported practicing their instruments last grading quarter were 29, 20, 36, 44, 30, 32, and 40.
The mean hours students reported practicing their instruments is
✔ 33
.
The mean absolute deviation for the data is
✔ 6
.
Step-by-step explanation: answers.
Find the area of a regular decagon (10 sides) with perimeter 100 units. Show all work
Answer:
What's the complex name
Pd(co2) (me3p)2
A frog jumps in the air. The height, in inches, of the frog is modeled by the function h(t)=60t-75t , where t is the time after it jumped, measured in seconds.
Solve .
The time of motion of the frog after it jumped into air is determined as 0.8 second.
Time of motion of the frog
The time of motion of the frog is determined by solving the quadratic equation as follows;
60t - 75t² = 0
60t = 75t²
divide both sides by t
60 = 75t
divide both sides by 75
60/75 = t
0.8 s = t
Thus, the time of motion of the frog after it jumped into air is determined as 0.8 second.
Learn more about time of motion here: https://brainly.com/question/2364404
Which expressions are equivalent to In e?
Answer:
lne = log(e)e = 1
Step-by-step explanation:
I hope this helps!
what is 445 fl oz into pints and why?
Answer:
27.8 nearest tenth pints
To find, divide the value by 16
What is x. Please show *all* the steps.
The equation 5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0 is a quadratic equation
The value of x is 8 or 1
How to determine the value of x?The equation is given as:
5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Rewrite as:
-5/x - 2 + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Take the LCM
[-5(x + 2) + (x -5)(x- 2)]\[x^2 - 4 + [3x + 8]/[x^2 - 4] = 0
Expand
[-5x - 10 + x^2 - 7x + 10]/[x^2 - 4] + [3x + 8]/[x^2 - 4] = 0
Evaluate the like terms
[x^2 - 12x]/[x^2 - 4] + [3x + 8]/[x^2 - 4 = 0
Multiply through by x^2 - 4
x^2 - 12x+ 3x + 8 = 0
Evaluate the like terms
x^2 -9x + 8 = 0
Expand
x^2 -x - 8x + 8 = 0
Factorize
x(x -1) - 8(x - 1) = 0
Factor out x - 1
(x -8)(x - 1) = 0
Solve for x
x = 8 or x = 1
Hence, the value of x is 8 or 1
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3. Classify the angle pair using all the names that apply.
2
Angles that are directly across from each other and created from intersecting lines are called vertical angles. Vertical angles are congruent.
Hope this helps!
A fence installation company sells 4 models of chain-link fencing, 2 models of wood fencing, and 3 models of iron fencing. What is the total number of models of fencing that the company sells?
A. 24
B. 11
C. 6
D. 9
Answer:
D.
Step-by-step explanation:
A car with a mass of 1,500 kg broke down on the side of the road. How much force will be required
for a tow truck to accelerate the car at a rate of 3 m/sec^2
Answer:
the answer is 4,500kgm/s2
Step-by-step explanation:
force= mass × acceleration
[tex]f = 1500 \times 3 \\ = 4500kgm {s}^{ - 2} [/tex]
