Answer:
170 cm²
Step-by-step explanation:
Height of Cylindrical container = 18 cm ; diameter of cylindrical container = 6 cm.
Hence, radius of cylindrical container = 6/2 = 3 cm
Rubber balls = 3 each have a radius of 3 cm.
Volume of a cylinder = π r² h
V = 3.14 * (3cm)² * 18 cm
V = 508.68 cm³
Volume of rubber ball = 4/3 π r³
V = 4/3 * 3.14 * (3cm)³
V = 113.04 cm³
Volume of 3 rubber balls = 3 * 113.04 = 339.12³
Take the difference to obtain answer :
Volume of cylinder - Volume of rubber ball
508.68 cm³ - 339.12³
= 169.56 cm²
170 cm² (nearest whole number
How many solutions does the equation 4x-7(x-2)=3x+2 have?
Answer:
one solution, x=2
Step-by-step explanation:
brainliest?
Solve for x using the Quadratic Formula: x2 + 4x + 4 = 0 x = −2
Answer:
x=-2
Step-by-step explanation:
x^2+4x+4 = 0
(x+2)(x+2) = 0
x+2=0
x=-2
67. There are 15 clarinet players, 12 flute
players, and 7 saxophone players in a
marching band. How many ways can the
band director create a trio consisting of
one clarinet player, one flute player, and
one saxophone player?
A. 34 ways
B. 187 ways
C. 1,260 ways
D. 1,500 ways
Answer:
A
Step-by-step explanation: add 15+12+7
if im write can i get a brainliest? plss:>
The band director can create a trio in 1,260 different ways.
Hence, option C is correct.
Use the concept of permutations,
The formula for permutations is,
⇒ [tex]^{n}P_{r}[/tex] = n! / (n - r)!
Where n is the total number of items and r is the number of items we are selecting.
So in this case, we have,
⇒ n = 15 clarinet players
⇒ n = 12 flute players
⇒ n = 7 saxophone players
⇒ r = 1 clarinet player,
1 flute player, and 1 saxophone player
To find the number of ways we can create a trio with one player from each instrument, we need to calculate,
⇒ ([tex]^{15}P_{1}[/tex]) x ([tex]^{12}P_{1}[/tex]) x ([tex]^{7}P_{1}[/tex])
⇒ ([tex]^{15}P_{1}[/tex]) = 15! / (15 - 1)!
= 15! / 14!
= 15
This represents the number of ways we can choose one clarinet player out of 15.
([tex]^{12}P_{1}[/tex]) ) = 12! / (12 - 1)!
= 12! / 11!
= 12
This represents the number of ways we can choose one flute player out of 12.
[tex]^{7}P_{1}[/tex] = 7! / (7 - 1)!
= 7! / 6!
= 7
This represents the number of ways we can choose one saxophone player out of 7.
So the total number of ways we can create a trio consisting of one clarinet player, one flute player, and one saxophone player is,
⇒ 15 x 12 x 7 = 1,260
Therefore,
The band director can create a trio in 1,260 different ways.
To learn more about permutations visit:
https://brainly.com/question/14368656
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I'll give 20pts and Brainliest!
Gavin is subdividing land into two plots, where one plot is in the shape of a square and the other plot is in the shape of a rectangle. The square plot of land has a side length of 6x³ feet, and the rectangular plot of land has a length of 3x⁵ feet and a width of 7x² feet. Use the properties of exponents to determine the expression that represents the area for each plot of land. Then analyze which plot of land has a larger area if x is 3.
The square plot of land has a larger area when x is 3.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
To find the area of the square plot, we can use the formula for the area of a square: A = [tex]s^2,[/tex] where s is the length of a side of the square. In this case, the side length is 6x³ feet, so the area of the square plot is:
A = [tex](6x³)^2 = 36x^6[/tex]square feet
To find the area of the rectangular plot, we can use the formula for the area of a rectangle: A = lw, where l is the length of the rectangle and w is the width. In this case, the length is 3x⁵ feet and the width is 7x² feet, so the area of the rectangular plot is:
A = (3x⁵)(7x²) = 21x⁷ square feet
To analyse which plot of land has a larger area if x is 3, we can substitute x = 3 into the expressions for the areas of the plots:
Area of square plot[tex]= 36(3)^6[/tex] [tex]= 11664[/tex] square feet
Area of rectangular plot =[tex]21(3)^7 = 5103[/tex] square feet
Therefore, the square plot of land has a larger area when x is 3.
To learn more about Algebraic expression from given link.
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What are the solution to the equation (x+3)^2=7
Step-by-step explanation:
see attached. hope it's helps
1. The graph of y = x2 is translated 4 units down and 3 units to the left. It is also stretched by a factor
of 4, then reflected in the x-axis.
Answer:
ok so first ur gonna do 4x3=12 then
Step-by-step explanation:
Find the perimeter of the
polygon if ZB = ZD.
11.5 cm
B
D
12.5 cm
13.5 cm
Answer:
100cm
Step-by-step explanation:
From the given diagram;
Perimeter of the polygon = AB + BC+ CD + DA
Perimeter of the polygon = 11.5 + 12.5 + 12.5 + 13.5 + 13.5 + 12.5 + 12.5 + 11.5
Perimeter of the polygon = 24 + 26 + 26 + 24
Perimeter of the polygon = 50 + 50
Perimeter of the polygon = 100cm
Hence the Perimeter of the polygon is 100cm
Answer:
100 cm
Step-by-step explanation:
A rectangle has an area of 24 cm2. Function f gives the length of the rectangle, in centimeters, when the width is w cm.
Determine if each value, in centimeters, is a possible input of the function.
3
Answer:
Input is the value of w and the function f = 24/w as length x breadth = area of rectangle
Heart if this helped
tombstone and bury me.. by the river they'll carry me. finally I been resting in peace.. finally, finally..
Answer:
rhymy
Step-by-step explanation:
Find the area of the shaded region. Round your answer to the nearest tenth.
5 in.
Answer:
10 is the number
Step-by-step explanation:
Complete the recursive formula of the arithmetic sequence -3, -1, 1, 3,...
b(1)= "answer"
b(n)=b(n-1)+ "answer"
Given:
The given arithmetic sequence is:
[tex]-3,-1,1,3,...[/tex]
To find:
The recursive formula of the given arithmetic sequence.
Solution:
We have,
[tex]-3,-1,1,3,...[/tex]
Here, the first term is -3. So, [tex]b(1)=-3[/tex].
The common difference is:
[tex]d=-1-(-3)[/tex]
[tex]d=-1+3[/tex]
[tex]d=2[/tex]
The recursive formula of an arithmetic sequence is:
[tex]b(n)=b(n-1)+d[/tex]
Where, d is the common difference.
Putting [tex]d=2[/tex], we get
[tex]b(n)=b(n-1)+2[/tex]
Therefore, the recursive formula of the given arithmetic sequence is [tex]b(n)=b(n-1)+2[/tex], where [tex]b(1)=-3[/tex].
Can you guys help me with this problem
It’s in the picture
Answer:
74
Step-by-step explanation:
Answer:
do length x with for both shapes then add together
Step-by-step explanation:
hope this helps
Can someone help me please
For the people that are trying to help me, is this good?
Answer:
369.03
Step-by-step explanation:
The figure is a pyramid with a rectangular base
The formula is A+1/2ps
A=130 (Area of the base)
p=46 (perimeter of the base)
s=15 (slant height)
PLEASE HELP ME ANSWER THESE QUESTIONS. NO LINKS OR U WILL B REPORTED. ILL GIVE U THE BRAINLIEST TY!
A. Is there a more appropriate SI unit of measure to use to determine the surface area of the
playground equipment? Explain.
B. What would be a more appropriate imperial unit of measure for the surface area of this
playground equipment?
Answer:
A: Explanation: The surface area of a 3-D object is the sum of all the areas of all the 2-D surfaces of the object; so, its unit is the same as that of area. The SI unit of area is square metre (m2)
Please mark my answer as brainliest for further answers :)
HELP!!! answer quickly pls
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Each of the green lines has 3 times the length of the corresponding blue line. Thus the dilution factor is 3.
simplify (2x^2+3)(x+4
Answer:
23+32−5+12 is the equaequation simplified
Step-by-step explanation:
What is 3/4 divided by 2 equal
Answer:
0.375
Step-by-step explanation:
..
scrieți divizorii întregi ai numerelor 6,9,15
Answer:
`15
Step-by-step explanation: i think
Find the sum of 318 nanoseconds and 96 microseconds
Step-by-step explanation:
1 microsecond is equal to 1000 nanoseconds.
Knowing this, we can multiply 96*1000 to get 96,000.
Then just add the additional 318 nanoseconds.
96,000+318=96,318 nanoseconds.
what is the x-intercept of the graph 4x-6y=12
You went shopping at a mall and bought a t shirt for $8.99 and a baseball hat for $12.99. What is the total cost of the items with 7.5% tax?
A. $21.98
B. $1.65
C. $38.46
D. $23.63
help pleaaaaaaaaaaaaaaaaaaaaaase
Answer:
26.85 in
Step-by-step explanation:
5+7+7 = 19
C 2πr/2 = 7.85
19+7.85 = 26.85
I need help with these question! Please do step by step-
Number of bags of chocolate chip cookies = x = 0.133 bags
Number of bags of walnuts = 7.7 bags
Can someone help me with this. Will mark brainliest.
HELP HELP HELP ILL MARK YOU BRAINLIEST
The answer would be 128z^9.
This is because when you multiply exponents with a variable (z), you keep the base the same (8z and 16z), but you add the exponents together.
If a car is traveling at 80 feet/second with 22 inch tires, how fast are the tires spinning in revolutions per second?
Answer:
43.6
Step-by-step explanation:
Can someone help me please ?
Haha posting the pics of me again cuz why not
1/10
for me i pick 5/10
Answer:
Step-by-step explanation:
10/10 cause everyone is
Answer:
AA by isaiah rashad
Step-by-step explanation:
good song
HELP PLZ ASAP HELP
I WILL GIVE BRAINLIEST TO WHOEVER SHOWS HOW TO GET THEIR ANSWER
PLZ DONT SPAM BOTS
Answer:
4.5 cubic feet
Step-by-step explanation:
Volume is calculated by length ⋅ width ⋅ height.
In this situation, we need to find the volume of the box and subtract the volume of the present from the volume of the box.
2 1/2 ⋅ 2 ⋅ 1 1/2 = 7 1/2 cubic feet
Now that we have the volume of the box, we can subtract the volume of the present from it.
7 1/2-3 = 4.5 cubic feet