Answer:
336π in²Step-by-step explanation:
Cylinder 1
r₁= 4 inh = 5 inCylinder 2
r₂ = 3*4 = 12 inh = 5 inSurface area of cylinders:
S = 2πr(r + h)S₁ = 2π*4*(4 + 5) = 72π in²S₂ = 2π*12*(12 + 5) = 408π in²The difference is:
S₂ - S₁ = 408π - 72π = 336π in²A cylinder has a radius of 4 inches and a height of 5 inches. If the radius of the cylinder is tripled and the height remains the same to create a new cylinder, what will be the difference in the surface areas of the two cylinders ? Answer in terms of Pi.
Answer:-Given:-A cylinder has a radius of 4 inches and a height of 5 inches.
To Find:-If the radius of the cylinder is tripled and the height remains the same to create a new cylinder, what will be the difference in the surface areas of the two cylinders ?
Solution:-Let in case of 1st cylinder,[tex] \bullet [/tex] Radius [tex] (r_1) [/tex] is 4 inches
[tex] \bullet [/tex] Height is 5 inches
And in case of 2nd cylinder,[tex] \bullet [/tex] Radius [tex] (r_2) [/tex] is 3 × 4 = 12 inches [as in the question it is given that the radius of the cylinder is tripled]
[tex] \bullet [/tex] Height is 5 inches
Now,
Surface area [tex] (s_1) [/tex] of 1st cylinder
is 2πr(r + h) = 2π × 4(4 + 5)
= 8π(9)
= 72π sq inches
Surface area [tex] (s_2) [/tex] of 2nd cylinder
is 2πr(r + h) = 2π × 12(12 + 5)
= 24π(17)
= 408π sq inches
[tex] \therefore [/tex] The difference in the surface areas of the two cylinders is = [tex] (s_2 \: - \: s_1) [/tex] = (408π - 72π) = 336π sq inches
The difference in the surface areas of the two cylinders is 336π sq inches. [Answer]What is the smallest perfect square
Answer:
Answer: 0 is smallest perfect square but if Any number that can be written as a POSITIVE integer to the power of 2. then 1 is the smallest perfect square number.
Step-by-step explanation:
Answer:
Answer: 0 is smallest perfect square but if Any number that can be written as a POSITIVE integer to the power of 2. then 1 is the smallest perfect square number.
Step-by-step explanation:
hello my friend is from 7th grade she need help with her math 5200 at 49% for 3years??
Answer:
At the end you will have 12,844$ and you have earned 7644$
Step-by-step explanation:
49% 49 times the money 5,200$ = 254,800 divided by 100 = 2548 in 1 year.
Times 2548 by 3 and get 7644$ ( Interest Earned ) add that by original money and get 12,844$ (Money In Total)
PLEASE HELP AND HURRY!!!!!
A square playground is covered with pebbles, except for two equal size triangular portions that have grass. How many square feet do the pebbles cover?
7ft
14ft
Answer:28\2
Step-by-step explanation:
7+7=14
7+7=14
14+14=28
Triangle A=1\2bh
So 28\2
The pebbles cover an area of 147 sq ft. We can use the Pythagorean theorem to find the solution.
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Now, Let's call the length of the third side of the triangle "x".
Since the two triangles are equal in size, and they share two sides with the square, we can use the Pythagorean theorem to find x.
a² + b² = c²
7² + 7² = c²
49 + 49 = c²
98 = c²
c = √(98)
c = 7 √(2)
So, each triangle has a base of 7 ft and a height of 7 √(2) ft.
And, Area of each triangle = (base × height) / 2
= (7 × 7√(2)) / 2
= 24.5 ft²
Since, there are two triangles,
Hence, the total area of the grass is,
⇒ 24.5 sq ft × 2 = 49 sq ft
Hence, The square has an area of,
⇒ 14ft × 14ft = 196 sq ft
So, The pebbles cover an area of,
⇒ 196 sq ft - 49 sq ft = 147 sq ft.
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Solve by using common denominators 2/1 divide 1/4
Answer:
8
Step-by-step explanation:
That'd be "2/1 divided by 1/4" and if we use common denominators we get:
2 8
----- = ----- divided by 1/4 comes out to 8/1, or just 8
1 4
Math question pls help
The difference of two numbers is 8. If the sum of the smaller number and the square of the larger number is 148, what is the larger number?
find the circumference of the circle. circle radius is 8cm
Answer:
50.24
Step-by-step explanation:
you multiply 8 x 2 to get 16
then you multiply 16 x 3.14 to get 50.24
I need to know the answer to this question? 9(p−4)=−18
Answer:
p = 2
Step-by-step explanation:
Solve the equation:
Distributive property: 9p - 36 = -18
Isolate the variable: 9p = 18
Divide: p = 2
Can I have Brainliest?
Can I get help with this
Answer:
the red one represents nature trails in Panama city. because by plugging in a number into the equation say for 1 in x = y being 3 which corresponds to be linear.
Jacksonville will have more nature trails sine the formula is growing exponentially rather than Panama linear growth.
Will give brainlyest!! the measures of the angles of the triangle are 50, 30 and 95 degrees.
What is the measure of the largest exterior angle of the triangle
Answer:
145 degrees
Step-by-step explanation:
The largest exterior angle would be the one with the smallest interior angle, which is 35 And exterior and interior angles is always 180.
180 - 35 = 145 degrees
I need the brainliest
Answer:
145 degrees
Step-by-step explanation:
I don't want the brainleist.
Help plssssss! Thnx!
Answer:
$55.48
Step-by-step explanation:
nice to help you.hope it helps
What are the solutions to this equation?
16x2 + 9 = 25
Answer:
x = 1, -1
Step-by-step explanation:
Answer: 16x2 + 9 = 25 A. x = -4 and x = 4 B. x = 0 and x = 4 C.
Step-by-step explanation:
Which set of angles are supplementary?
Answer:
the third option
Step-by-step explanation:
im pretty sure about this <3
A farmer has 500 acres of arable land on which he wants to plant potatoes and corn. The farmer has $40,000 available for planting and $30,000 for fertilizer. Planting 1 acre of potatoes costs $90, and planting 1 acre of corn costs $50. Fertilizer costs $30 for 1 acre of potatoes and $80 for 1 acre of corn. (a) Find a system of inequalities that describes the number of acres of each crop that the farmer can plant with the available resources. (Let x and y be the numbers of acres of potatoes and corn, respectively.)
Answer:
90x+ 50 y ≤ $40,000------ A
30x+ 80y ≤ $ 30,000------- B
x + y ≤ 500 --- C
Step-by-step explanation:
Let x and y be the numbers of acres of potatoes and corn, respectively.
Then according to the given conditions
90x+ 50 y ≤ $40,000------ A
30x+ 80y ≤ $ 30,000------- B
x + y ≤ 500 --- C
where both x and y equal to or greater than zero and cannot take a value less than zero.
x + y ≤ 500 --- C
gives us an idea that the total arable land is less or equal to 500 acres.
90x+ 50 y ≤ $40,000------ A
tells us that the total cost of planting potatoes and corn is less or equal to $ 40,000
30x+ 80y ≤ $ 30,000------- B
tells us that the total cost of fertilizers for potatoes and corn is less or equal to $ 30,000
In each of these x and y cannot have negative values or less than zero.
PLSSS I NEED THE HELP I HAVE SOME MANY QUESTIONS!
A cylindrical waste can has a volume of 197.92 cubic inches and its base has a radius of 3 inches. Which measurement is closest to the height of the waste can
Answer:
7inches
Step-by-step explanation:
Volume of a cylinder = πr²h
r is the radius of the cylinder
h is the height of the cylinder
Given
r = 3inches
Volume = 197.92 cubic inches
Substitute
197.92 = 3.14(3)²*h
197.92 = 28.26h
28.26h = 197.92
h = 197.92/28.26
h = 7.003in
Hence the measurement that is closest to the height of the waste can is 7inches
Marc is filling 1-cup containers with juice.
He has 5 gallons of juice. How many 1-cup
containers can he fill? (1 gallon = 16 cups)
Answer:
80
Step-by-step explanation:
5*16 = 80
Hence, the Marc has the number of cups are [tex]80[/tex].
What is the equation?
An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
The most basic and common algebraic equations in math consist of one or more variables.
Here given that,
Marc is filling one-cup containers with juice. He has five gallons of juice.
As we know,
[tex]1gallon=16cups[/tex]
So, it would be [tex]5(16)=80[/tex].
Hence, the Marc has the number of cups are [tex]80[/tex].
To know more about the equation
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The price of the video game was reduced from $60 to $45. By what percentage was the price of the video game reduced.
Answer:
It was reduce by 25%
45 so it would be reduced by 25%
___
60
x 100% = 75%
Answer:
25%
Step-by-step explanation:
$60 - $45 = $15
$15/ $60 = 0.25 = 25%
Two cards are dealt from a standard 52-card deck, with replacement. What is the probability that
both cards are face cards?
find the diffrence of the following sequence : -7,-9,-11
Answer:
-2
Step-by-step explanation:
you're subtracting 2 from each to get the next number, so the answer is -2
hope this helps, have a wonderful day :))
Solve for x -(-2x+1)=9-14x
Answer:
x = 5/8
Step-by-step explanation:
Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
There is a larger variety of lengths in the 9th grade textbook
simplify (3x+2)(3x-2)
Answer:
9 (*2) − 4
Step-by-step explanation:
the *2 is the square unit
Can someone help Solve these 2 questions for me? It's about Slope Intercept Forms.
Answer:
9.) The slope is 3 and the y-intercept is -5
10.) y = 0.25x -11
Hope this helped!
Stay safe! <3
Which of the following pairs of functions are inverses of each other?
Answer:
THE ANSWER IS B
Step-by-step explanation:
IT JUST MAKES SENSE TO CHOOSE B
The option D pairs of functions are inverses of each other.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
To find the inverse of a function, write the function f(x) as a function of x and then solve for x as a function of f(x).
For option A,
f(x) = 2 + ∛x
To solve for x,
∛x = f(x) - 2
x = (f(x) - 2)³
That is also the inverse So,
g(x) = (x -2)³ "Not correct"
For Option B,
f(x) = x/6 + 8
To solve for x,
x/6 = f(x) -8
x = 6f(x) - 6 *8
That is also the inverse So,
g(x) = 6x - 6 *8 "Not correct"
For Option C,
f(x) = 7/x - 9
To solve for x,
7/x = f(x) +9
x = [tex]\frac{7}{f(x) +9}[/tex]
That is also the inverse So,
g(x) = [tex]\frac{7}{x +9}[/tex] "Not correct"
For Option D,
f(x) = 5x - 11
To solve for x,
5x= f(x) + 11
x = (f(x) + 11)/5
That is also the inverse So,
g(x) =(x + 11)/5 "correct"
Thus, the option D pairs of functions are inverses of each other.
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Write the equation, in slope-intercept form, for the line shown in the graph below
Nov. 1 Loaned $52,200 cash to C. Bohr on a 12-month, 7% note. Dec. 11 Sold goods to K. R. Pine, Inc., receiving a $1,800, 90-day, 8% note. Dec. 16 Received a $4,800, 180-day, 10% note to settle an open account from A. Murdock. Dec. 31 Accrued interest revenue on all notes receivable.
Answer:
Dr Notes Receivable $52,200
Cr Cash $52,200
Dec. 11
Dr Notes Receivable $1,800
Cr Cash $1,800
Dec. 16
Dr Notes Receivable $4,800
Cr Accounts Receivable $4,800
Dec. 31
Dr Interest Receivable $637
Cr Interest Revenue $637
Step-by-step explanation:
Preparation of the journal entries
Nov 1
Dr Notes Receivable $52,200
Cr Cash $52,200
Dec. 11
Dr Notes Receivable $1,800
Cr Cash $1,800
Dec. 16
Dr Notes Receivable $4,800
Cr Accounts Receivable $4,800
Dec. 31
Dr Interest Receivable $637
Cr Interest Revenue $637
($609+$8+$20)
Working:.
Interest Revenue
Note that 1 Nov to Dec 31st will give us 2 months
=$52,200 x 0.07 x 2/12 =$609
Note that Dec 11 to Dec 31st will give us 20 days
=$1,800 x 0.08 x 20/360 =$8
Note that Dec 16 to Dec 31st will give us 15 days
=$4,800 x 0.10 x 15/360=$20
The time t required to do a job varies inversely as the number of people working. It takes 5 hr for 3 cooks to prepare the food for a wedding rehearsal dinner. How long will it take 8 cooks to prepare the dinner?
Answer: It will take 1.875 hours
Step-by-step explanation:
Given that time t required to do a job varies inversely as the number of people working.
we have it expressed as
t∝1/N
where t is time required to do a job
N is the number of people working.
Introducing our constant of proportionality, we have tht
t=k1/N
t=k/N
Now since it takes 5 hr for 3 cooks to prepare the food , K becomes
t=k/N
5=K/3
K=5X3=15
Given that there are 8 cooks, time required to prepare dinner will be
t=k/N
t=15/8
t=1.875 hours
Russell has already taken 540 quizzes during past quarters, and he expects to have 5 quizzes
during each week of this quarter. After attending 5 weeks of school this quarter, how many
quizzes will Russell have taken in total? Write and solve an equation to find the answer.
quizzes
Help please it’s IXL
Answer:
565
Step-by-step explanation:
5x5=25
540+25=565
Pls help me!!!! Im stuck!!!
Answer:
has no solution.
Step-by-step explanation:
you can see that the two equations are almost identical except for the fact that one is multiplied by 7, but it isnt completely multiplied correctly so there would be no solutions.
Answer:
infinite solutions
Step-by-step explanation:
you can solve this by the elimination method. take the rover a equation and multiply it by -7 and then combine the equations. when you do this, you can see that either side equals 0 which means that there are infinite solutions.
-7(y= 1.5x - 6) which equals the equation below
-7y= -10.5x-42 then combine the other equation
7y=10.5x+42 and that equals
0=0
Whoever answers correctly gets brainliest.
Answer:
C. r+r+r+t+t = 3r + 2t
Step-by-step explanation:
because we cant add numbers with different variables
