Answer:
[tex] \boxed{\rm \: Volume_{(Drum)} = 5024 \: in {}^{3} }[/tex]
Step-by-step explanation:
Given :
Diameter of a drum = 20 inchesDeep ( height ) of the drum = 16 inchesπ = 3.14To Find:
The volume of the drum.
Solution:
We all know that drum is cylindrical.So we'll use the formulae of the volume of cylinder,to find its volume.
[tex] \boxed{\rm \: Volume_{(Cylinder)} = \pi{r} {}^{2} h}[/tex]
Where,
r = radiush = height (deep)π = 3.14The value of radius ain't given,but the diameter is given.We can use the formulae of radius.
[tex] \rm \: Radius = D/2[/tex]
D = diameterSubstitute the value of diameter:
[tex] \rm \: Radius = \cfrac{20}{2} = 10[/tex]
Hence,the radius is 10.
So we could now use the formulae of the volume of cylinder:
[tex] \rm \: Volume_{(Cylinder)} = \pi{r} {}^{2} h[/tex]
π = 3.14r =10 inh = 16 in[Firstly bring the answer in terms of π then plug π = 3.14 and then simplify.]
[tex] \rm \: Volume_{(Drum)} = \pi(10) {}^{2} (16)[/tex]
[tex] \rm \: Volume_{(Drum)} =\pi100(16)[/tex]
[tex] \rm \: Volume_{(Drum)} = 1600\pi[/tex]
[tex] \rm \: Volume_{(Drum)} = 1600 \times 3.14[/tex]
[tex] \boxed{\rm \: Volume_{(Cylinder)} = 5024 \: in {}^{3}} [/tex]
Hence, we can conclude that:
The volume of this drum is 5024 in^3.
round your final answer to the nearest degree
Answer:
The correct answer is 37°
Translate then Solve for the variable:
The sum of two times a number and 10 is five times the difference of a number and six.
Solve for the variable then type the answer after rounding your answer to the nearest hundredths
The linear equation will be 2x + 10 = 5(x - 6). Then the value of the variable x will be 23.33.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Translate then Solve for the variable:
The sum of two times a number and 10 is five times the difference between a number and six.
Let the number be x.
Then the equation will be
2x + 10 = 5(x - 6)
Then the value of x will be
2x + 10 = 5x - 60
5x - 2x = 60 + 10
3x = 70
x = 23.33
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5 yrs ago, Nuri was thrice as old as Sonu. 10 yrs later, Nuri will be twice as old Sonu. How old are Nuri n Sonu?
Answer:
Answer will be 50
Step-by-step explanation:
Let us suppose, present age of Nuri be ‘x’ years and present age of Sonu be ‘y’ years.
Now, it is given that five years ago, Nuri was thrice old as Sonu. Hence,
Five years ago,
Nuri’s age = x-5 years
Sonu’s age = y-5 years
And relation between ages can be given as
Nuri’s age = 3×sonu’s age or
x-5 = 3(y-5)
x-5 = 3y-15
x-3y+10 = 0 ………..(i)
Another relation is given in the problem that ten years later, Nuri is twice as old as Sonu.
So, ten years ago,
Nuri’s Age = x+10
Sonu’s Age = y+10
And relation between ages can be written as
x+10 = 2(y+10)
x+10 = 2y+20
x-2y-10 = 0 …………..(ii)
Now we can solve the equation (i) and (ii) to get values of x and ‘y’ or present ages of Nuri and Sonu.
Value of ‘x’ from equation (i) be
x = 3y-10 ……….(iii)
Putting value of ‘x’ from equation (iii) in equation (ii) we get,
3y-10-2y-10 = 0
y = 20
Now, from equation (iii) value of ’x’ can be given as,
x= 3(20)-10
x = 50
Hence, the present ages of Nuri and Sonu are 50 years and 20 years respectively.
A school wants 2 chaperones for every 25 students on a field trip. There are 100 students going on the field trip. How many chaperones does the school need?
A
4
B
8
C
108
D
50
Using proportions, it is found that the number of chaperones that the school needs is given by:
B. 8.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, 2 chaperones are needed for every 25 students. How many are needed for 100 students? The rule of three is given by:
2 chaperones - 25 students
n chaperones - 100 students
Applying cross multiplication:
25n = 2 x 100
n = 200/25
n = 8.
Hence option B is correct.
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G.MG.3 Beth is going to enclose a rectangular area in back of her house. The house wall will form one of the four sides of the fenced in area, so Beth will only need to construct three sides of fencing. Beth has 48 feet of fencing. She wants to enclose the maximum possible area.
The maximum area of the rectangular path is when the length is 24 feet and the width is 12 feet.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the length and y represent the width. Hence:
There is 48 feet of fencing:
x + 2y = 48
x = 48 - 2y (1)
The area (A) is:
A = xy = y(48 - 2y)
A = 48y - 2y²
The maximum area is at A' = 0, hence:
48 - 4y = 0
y = 12
x = 48 - 2(12) = 24
The maximum area of the rectangular path is when the length is 24 feet and the width is 12 feet.
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1. Solve the quadratic function by graphing. x²-3x - 18 - 0
Answer:
that's easy all you have to do is find out what is the value of x then divided by 2 once you divide by 2 subtract 3x 18 and 0
At a cake stall , muffins cost $2 each & cookies cost $1 each. The cake stall earned $146. If 2 more cookies than muffins were sold, how many muffins were sold?
Answer:
48 muffins were sold
Step-by-step explanation:
Represent the number of muffins by m and the number of cookies by c.
Then the revenue from the sales of muffins was ($2/muffin)m and that from the sales of cookies ($1/cookie)c. Remembering that c = m + 2, we obtain the following equation:
($2/muffin)m + ($1/cookie)(m + 2) = $146, so that:
2m + 1m + 2 = 146, or 3m + 2 = 146, or 3m = 144.
Dividing both sides of this result by 3, we get m = 48
Thus, 48 muffins were sold.
What is k equal to if StartFraction 7.6 over 2 EndFraction = StartFraction 9.5 over k EndFraction?
1.6
2.5
3.8
4.8
Show that tanø+Cotø = Secø Cosecø
Answer:
True.
Keys:
Manipulate left/right sidesStep-by-step explanation:
[tex]\tan \left(\theta\right)+\cot \left(\theta\right)=\sec \left(\theta\right)\csc \left(\theta\right)\\\tan \left(\theta\right)+\cot \left(\theta\right)\\=\frac{\cos ^2\left(\theta\right)+\sin ^2\left(\theta\right)}{\cos \left(\theta\right)\sin \left(\theta\right)}\\=\frac{1}{\cos \left(\theta\right)\sin \left(\theta\right)}\\\\\sec \left(\theta\right)\csc \left(\theta\right)\\=\frac{1}{\cos \left(\theta\right)\sin \left(\theta\right)}[/tex]
What was shown throughout this problem?
We showed that two different sides are capable of taking the same form.
A survey indicated that 4 out of 6 doctors used brand X aspirin. If 3600 doctors were surveyed, how many used brand X?
Answer: 2,400 doctors used brand X aspirin.
Step-by-step explanation: The question notifies us that 3,600 total doctors were surveyed. This automatically lets us know that 6/6 doctors = 3,600 doctors. We can find the unit rate from this point by dividing 3,600 by 6. We will find that 600 doctors represents 1/6 doctors. We can multiply our unit rate by 4 to find that 4 out of 6 doctors, or 2,400 doctors, use brand X aspirin. 4/6 of 3,600 is 2,400, so 2,400 doctors used brand X aspirin. Hope this helps!
Answer:
1200 doctors
Step-by-step explanation:
60% of doctors use brand X aspirin.
So, what is 60% of 2000?
(0.6) (2000) = 1200
1200 out of the 2000 use brand X.
I need the answer for this question please
The sum of √30 + √50 lies between 12 and 13.
What is the sum of the numbers?The square root of a number can be described as number that when multiplied with itself yields that number.
√30 = 5.48
√50 = 7.07
5.48 + 7.07 = 12.55
The consecutive integers are 12 and 13
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If the scale factor is three and the center of origin is (1,1) dilate the coordinates A(-5,-7) B(-6,-5) C(-2,-3)
A(n) ___ function is the function that sometimes results when the independent variable of a function is exchanged with the dependent variable.
The A(n) is inverse function is the function that sometimes results when the independent variable of a function is exchanged with the dependent variable.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We know that the inverse of a function, sometimes known as an anti function, is a function that can be reversed into another.
In other words, if a function "f" converts x to y, the inverse of the same function will convert y to x. The inverse function is denoted by f⁻¹ or F⁻¹ if the function is denoted by 'f' or 'F'.
Thus, the A(n) is inverse function is the function that sometimes results when the independent variable of a function is exchanged with the dependent variable.
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a bicycle wheel has a diameter of 65cm what is the length of one revolution of the wheel PLEASE HELP
AnswerAnswerAnswerAnswer: C = πd = 65π = 204.2 cm
Step-by-step explanation: C = pi*d
where d is the diameter.
First we get the circumference, then we multiply it by the number of revolutions, which is 20:
C = 3.14 * 65
C = 204.1 cm (this is only equal to 1 revolution)
Therefore, total distance travelled in after 20 revolutions is
204.1 * 20 = 4082 cm
b) 9 11 13 15 17
Terms of
n, an expression for the nth term
Answer:
Tn= a+( n-1) 3
Tn= 9+(n-1)3
13. Figure QRSP is a rectangle.
Q.
100°
What is the measure of angle RPS?
A. 40 degrees
C. 80 degrees
B. 50 degrees]
Answer:
b 50 degrees bavaggagshdd
What is the probability of rolling a two on the first die and a three on the second die?
Answer:
a dice has 1 two and 1 three
1/6 *1/6 =1/36
ASAP!!!
Alicia found $1.90 on the beach. Her brother found three times as much money. How much money did Alicia and her brother find in total?
Please be accurate!
Answer: The correct answer is $7.60.
Step-by-step explanation: First, you multiply 1.90 and 3. This gives you 5.7. Then, you add 1.9. This gives you $7.60.
Answer:
£7.60
Step-by-step explanation:
Alicia found £1.90, we can give this the value x
Her brother found triple the amount, or 3x
In total they found 4x
If £1.90 is x, 4x is £7.60
ZA=C
Round your answer to the nearest hundredth.
C
B
6
8
A
?
Answer:
? = 41.41°
Step-by-step explanation:
The known side length is adjacent to the angle we need to find hence we will use cosine
cosx = adjacent /hypotenuse
cos(?) = 6 / 8
simplify fraction, cos(?) = 3 / 4
? = arccos(3 / 4)
Need one person help for math Plato class
Answer:
The answer is B. 13.7 inches
i hope this can help you! :)
Is anyone able to solve this equation? It’s urgent
Answer:
1500
Step-by-step explanation:
You can find the complete solution in the given attachment
alex has a box of 250 nails. he uses 80 nails. then he loses 35 nails. how many nails does alex have left? what is the hidden question
Convert (728), to base 10
Answer:
2D8
Step-by-step explanation:
To convert decimal number 728 to hexadecimal, follow these steps:
step 1 =Divide 728 by 16 keeping notice of the quotient and the remainder.
step 2 =Continue dividing the quotient by 16 until you get a quotient of zero.
step 3 =Then just write out the remainders in the reverse order to get hexadecimal equivalent of decimal number 728.
Using the above steps, here is the work involved in the solution for converting 728 to hexadecimal number:
728 / 16 = 45 with remainder 8
45 / 16 = 2 with remainder 13 (D)
2 / 16 = 0 with remainder 2
Then just write down the remainders in the reverse order to get the answer, The decimal number 728 converted to hexadecimal is therefore equal to :
2D8
Calculate the area of a triangle with a base of 6 cm and a height of 12 cm
Answer:
36
Step-by-step explanation:
12 x 6 = 72 / 2 = 36 because the area of a triangle is base times height divided by 2
Inaaya has a jar of coins containing only nickels, dimes, and quarters. A nickel is worth 5 cents, a dime is worth 10 cents, a quarter is worth 25 cents, and a dollar is worth 100 cents.
The ratio of the number of quarters to the number of dimes to the number of nickels in the jar is 9:3:1. The total value of all the coins in the jar is $18.20. How many coins does Inaaya have in her jar?
Answer: 91 coins
9 x 25 = 2.25 dollars
3 x 10 = 30 cents
1 x 5 = 5 cents
How should this model be completed to represent 1,881 ÷ 33?
Answer:
Check the attached image below
Determine whether the successive probabilities are independent or dependent events.
15) The probability of getting 4 tails in a row when flipping a coin?
a) Independent
b) Dependent
16) The probability of drawing 2 Queens in a row from a deck of cards?
a) Independent
b) Dependent
Answer:
15) a) independent 16) b) Dependent Step-by-step explanation:
15) let T1 be the event : “get a tail in the first flip”
let T2 be the event : “get a tail in the second flip”
p(T1 ∩ T2) = 1/4
p(T1) = 1/2
p(T2) = 1/2
Then
p(T1) × p(T2) = (1/2)(1/2 = 1/4
Since ,p(T1 ∩ T2) = 1/4 = p(T1) × p(T2)
Then the events are independent.
16) These events are dependent since we don’t replace the Queen before the second draw.
The two Events are dependent because the probability that we draw a Queen in the first draw affect the probability that we draw a Queen in the second draw.
Math work class rell
Answer:
The answer is D. infinite.
Answer:
infinte
Step-by-step explanation:
→ For any value of x which is substituted you will get that value
In algebra, there are lots of rules and properties to remember. The good news is that once you understand them, you can apply them in lots of different orders and combinations. Give an example of a mathematic problem that can be solved in multiple ways by applying properties of algebra differently. Explain your reasoning.
Algebraic properties can be applied in any mathematical equation.
How to explain the algebraic property?There are several algebraic properties; they include:
Distributive propertyAdditive propertyInverse propertyCommutative propertyAnd so onAll these properties can be applied in a mathematical equation.
An instance is as follows:
3(x + 2) = 18
Method 1
Apply the distributive property
3x + 6 = 18
Apply the subtraction property of equality
3x = 12
Apply the division property of equality
x = 4
Method 2
Apply the division property of equality
x + 2 = 6
Apply the subtraction property of equality
x = 4
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Is 12/19 rational or irrational?
Answer:
irrational
Step-by-step explanation: