Answers
Answer:
[tex] V_{weights} =1,243 \: cm^3 [/tex]
Step-by-step explanation:
Radius of weight [tex] r_1=\frac{20}{2}= 10 \:cm[/tex]
Radius of hole [tex] r_2=\frac{2}{2}= 1 \:cm[/tex]
Height of weight as well as hole (h) = 2 cm
Volume of weights = (Volume of one weight - volume of hole)
[tex] \therefore V_{weights} = 2 (\pi r_1^2 h - \pi r_2^2 h)[/tex]
[tex]\therefore V_{weights} = 2 \pi (r_1^2 - r_2^2 )h[/tex]
[tex]\therefore V_{weights} = 2 (3.14)(10^2 - 1^2 )2[/tex]
[tex]\therefore V_{weights} =12.56(100 - 1 )[/tex]
[tex]\therefore V_{weights} = 12.56(99)[/tex]
[tex]\therefore V_{weights} =1,243.44[/tex]
[tex]\therefore V_{weights} \approx 1,243 \: cm^3 [/tex]
Related Questions
Find the inverse function.
x - 3
f(x) =
+ 2
5
f-1(x) = [ ? ]x + [ ]
Answers
Steps
Solve for the inverse function of
f(x)=((x-3)/5)+2
First one should replace the variables so
that f(x)=((x-3)/5)+2 becomes:
x=((y-3)/5)+2 (this isn’t necessary, it just makes it easier for those to remember the variable they are looking for when first learning about inverses) —> regardless, we are searching for y.
So doing regular algebra, we get:
x=((y-3)/5)+2
x-2=((y-3)/5)
5(x-2)=y-3
5(x-2)+3=y
Thus, the inverse: f(x)^-1 = 5x-7
which expression is equivalent to 4 (1/6x + 2/7) ?
0 А.12/13x
B. 38/21x C. 2/3x + 2/7 D. 2/3x + 8/7
Answers
[Easy Points] Kanna Kamui sees 3 snowmen. Then he sees 2 more. How many snowmen did Kanna see in all?
Answers
Answer:
the correct answer is 5 snowmen
Calcule: a) ( - 7 ) . ( + 3 ) . ( - 2 ) * 1 ponto + 42 - 12 - 42 b) - 4 . ( + 3 - 2 + 5 ) * 1 ponto - 12 - 24 + 24
Answers
Answer:
a) 42
b) -24
Step-by-step explanation:
Recordar las reglas de los signos:
(-)*(-) = (+)
(+)*(-) = (-)
(-)*(+) = (-)
(+)*(+) = (+)
Tambien la propiedad distributiva:
A*(B + C + D) = A*B + A*C + A*D
Queremos calcular:
a) (-7)*(+3)*(-2)
Los primeros dos terminos dan:
-(7*3)*(-2) = -(21)*(-2) = (-21)*(-2) = +(21*2) = +42
b) -4*( + 3 - 2 + 5)
= (-4)*(3) + (-4)*(-2) + (-4)*(5)
= - 12 + 8 - 20 = 8 - 32 = -24
SHOW YOUR WORK. The volume of the cylinder is 235.6 ft cubed. Find the height.
Answers
Answer:
Answer: 3 feet
Step-by-step explanation:
Here's the complete question:
The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height.
Note that Volume of a cylinder = πr²h
where Volume = 235.6 feet³
Radius = 5 feet
Height = Unknown
Then, we put the values back into the question and this will be:
V = πr²h
235.6 = 3.14 × 5² × h
235.6 = 3.14 × 25 × h
235.6 = 78.5 × h
h = 235.6 / 78.5
h = 3 feet
The height is 3 feet
Step-by-step explanation:
A survey was conducted to find the possible relationship between gender and the color of the car the person owns. The data is represented in the
frequency table shown.
Blue
Total
Red
53
Male
Female
Total
25
75
Black
72
45
117
30
83
150
150
300
100
What percentage of the people surveyed were females who own a blue car?
Answers
Answer:
25 %
Step-by-step explanation:
What’s the answer and how do you figure these out?
Answers
PLEASE HELP DUE TODAY ALMOST DONE
Answers
Answer:
1. B
2. D
3. A
4. C
Step-by-step explanation:
You can tell something is a stretch and compress vertically by the outside number.
You can tell something is a stretch and compress horizontally by the number in the exponent.
A 2-gallon jug of juice costs $10.88. What is the price per cup?
Answers
Answer:
it's ¢.34
Step-by-step explanation:
a gallon has 16 cups
since there are two gallons that's 32
the price of the two gallons divided my 32 is how much each cup would be so 10.88/32 would be ¢.34
Find x and y, when AB and MN are similar
Please I need your help quickly
Answers
Answer:
x is 5 but sorry I can't Find the value of y
Answer:
y=3
x=5
Step-by-step explanation:
it's similar so CN =NB
that means y=3
so MN=AB
x=5
What is the surface area of the prism?
1.
5 in.
4 in.
5 in
Answers
Answer:
140
Step-by-step explanation:
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
12, 6, 3, ...
Answers
Answer:
The sequence is geometric
The common ratio is 0.5
Step-by-step explanation:
In the arithmetic sequence, there is a common difference between each two consecutive terms
In the geometric sequence, there is a common ratio between each two consecutive terms
Let us check the given sequence
∵ The first 3 terms are 12, 6, 3
∵ 6 - 12 = -6
∵ 3 - 6 = -3
∵ There is no common difference between the consecutive terms
∴ The sequence is not an arithmetic sequence
∵ 6 ÷ 12 = 0.5
∵ 3 ÷ 6 = 0.5
∴ There is a common ratio between each two consecutive terms
∴ The sequence is a geometric sequence
∴ The common ratio is 0.5
help me plz I will give 20 point
Answers
Answer:
1) If we have a point (x, y), the angle between the x-axis and a ray that goes from the origin to the point is defined by:
cos(θ) = x/(√(x^2 + y^2))
sin(θ) = y/(√(x^2 + y^2))
Then for the point:
(√(7)/4 , 3/4)
x = √(7)/4
y = 3/4
√(x^2 + y^2) = √((√(7)/4)^2 + ( 3/4)^2) = (1/4)*√(7 + 9) = 1
Then replacing these values in the above equations for the cosine and sine functions, we get:
cos(θ) = x/(√(x^2 + y^2)) = (√(7)/4)/1 = √(7)/4
sin(θ) = y/(√(x^2 + y^2)) = (3/4)/1 = 3/4
2) To find the period, we just need to find the distance between two peaks, or two x-intersects (such that the slope is the same).
Let's look at the graph.
We can see that at x = 0, the graph intersects the x-axis and increases
The next point where this happens is at x = π/3
Then the period of this function is:
P = π/3 - 0 = π/3
The period is π/3
A marine biologist compared two large pools that could be used for a new dolphin training arena. Pool A held 2 x 10¹⁰ gallons, and pool B held 2 x 10⁸ gallons. How many times more gallons will the larger pool hold than the smaller pool?
O4
O 20
O 100
O 200
Answers
Answer:
20
Step-by-step explanation:
2 x 10 = 20
divided by 4 = 5
The larger pool will hold is 100 times more gallons than the smaller pool
What is capacity and measurement?From the question, we are to determine how many times more gallons the larger pool holds than the smaller pool
From the given information,
Capacity of the larger pool = 2 × 10¹⁰ gallons
Capacity of the smaller pool = 2 × 10⁸ gallons
To determine how many times more gallons the larger pool holds more than the smaller pool, we will simply divide the capacity of the larger pool by the capacity of the smaller pool
That is,
[tex]\frac{2 \times 10^{10} }{2 \times 10^{8}}[/tex]
= 10²
= 100
Hence, the larger pool will hold is 100 times more gallons than the smaller pool.
Learn more on Capacity here: https://brainly.com/question/7598008
#SPJ2
vertex of the graph of x^2 + 8x + 12=0
Answers
Answer:
Step-by-step explanation:
Hope this helps u!!
PLEASE HELP!!!!!! In which week was the rainfall in Portland the highest and how much fell?
weekly rainfall bar graph
Week 3, 800 cm
Week 4, 1400 cm
Week 4, 1200 cm
Week 3 900 cm
Answers
Answer:
Week 4, 1400
Brainliest plz
Step-by-step explanation:
Answer:
Week 3 and 900 cm
Step-by-step explanation:
Brainliest Please!
Factorise fully 12x^3-4x^2
Answers
Answer:
4x² (3x - 1)
Step-by-step explanation:
12x³ - 4x²
4x² (3x - 1)
Please help me with this i didn’t get the answer
Answers
Below is pic of my workings
Are the dotted lines in the shape parallel, perpendicular or intersecting?
Answers
Answer:
Parallel
Step-by-step explanation:
The dotted lines are parallel because they have the same gradient to each other, this means the two dotted lines will never touch each other.
Have a great day <3
nadia will survey 50 students in her town to find out what their favorite summertime activity is which group would likeyl give the best representation for her survey
Answers
Answer:
B. 50 students in her school
Step-by-step explanation:
Every other answer is at a seperate place designed to help someone in a specific field, besides the school.
Which of the x-values are solutions to the following inequality?
x < 21
Choose all answers that apply:
A:
x= 3
B:
x= 21
C:
x= 200
Answers
if x+x-¹ = 11, evaluate x²+x-²
A. 119
B. 120
C. 121
D. 122
no spam answers please and kindly explain ur answer.
Answers
Given x+x-¹ = 11
now square both the side
(x+x-¹)² = 11²
now open the bracket of RHS and apply (a+b)²
you'll get,
x²+2x/x+ 1/x² =121
simplify above equation you'll get,
x²+ 2 + x-² = 121
shift the equation,
x² + x-² = 121 - 2
x² + x-² = 119 !
;)
What is your favorite song from...
Ariana Grande?
Selena Gomez?
Doja Cat?
Answer for all of them.
Answers
Answer:
Side to side
I love all of hers
And streets
Answer:
Not really a math question but I'll answer anyway (I don't really listen to Doja Cat, so I don't have one)
Step-by-step explanation:
Ariana Grande: Positions
Selena Gomez: Wolves
Have a good day :)
The Movie Haven is planning to order new medium-size popcorn containers. It has a choice of four different containers. It costs the company $0.02 per cubic inch of popcorn to fill a container. The company does not want the new container to cost more than $3.00 to fill. Which container should the company use? Use 3.14 for Pi.
Container A
A cylinder with height 5 inches and diameter 7 inches.
Container B
A cylinder with height 6 inches and radius 3 inches.
Container C
A cylinder with height 12 inches and B = 11.14 inches squared.
Container D
A cylinder with height 10 inches and diameter 6 inches.
container A
container B
container C
container D
Answers
Answer:
only option less than $3 is (C)
Step-by-step explanation:
Volume(cylinder) = πr²h or Bh
I used the guess-and-check method and got the following:
A) 3.85
B) 3.39
C) 2.67
D) 5.65
Find the values of x and y. Write your answers in simplest form.
Answers
Answer:
To find X you'll need this formula Tan 30, and this one to find y cos 30.
Step-by-step explanation:
tan 30 = 9 / x.
tan 30*x = 9
x = 9 / tan 30
x = 15.58
To find y, the value of X will be needed, which is 15.5 that we just found.
Cos= A/H
Cos 30 = 15.58/ y
Cos 30 * y = 15.58
y = 15.58/ cos 20
y = 17.99
Please help!!! Will mark brainliest!
Answers
Answer:
2 x 7 = 5 x 3
Step-by-step explanation:
There are two numbers, one is 7 more than twice the other. The sum of the numbers is 43. Make the equation to find the smaller number. Find the two numbers. Answer: If the smaller number is x, the equation will be . The numbers in ascending order are:
BRAINLIEST IF CORRECT
Answers
Answer:
Smaller number: 12
Greater number: 31
Step-by-step explanation:
Hi there!
Let x equal to the smaller number.
Let y be equal to the greater number.
1) Translate the information into equations
"One is 7 more than twice the other"
⇒ [tex]y=2x+7[/tex]
"The sum of the numbers is 43"
⇒ [tex]x+y=43[/tex]
2) Use substitution to solve for the smaller number
[tex]x+y=43[/tex]
Plug the equation [tex]y=2x+7[/tex] into the above equation
[tex]x+(2x+7)=43\\x+2x+7=43\\3x+7=43[/tex]
Subtract both sides by 7
[tex]3x+7-7=43-7\\3x=36[/tex]
Divide both sides by 3 to isolate x
[tex]\frac{3x}{3} = \frac{36}{3} \\x=12[/tex]
Therefore, the smaller number equates to 12.
3) Use substitution to solve for the greater number
[tex]x+y=43[/tex]
Plug in x as 12
[tex]12+y=43[/tex]
Subtract both sides by 12 to isolate y
[tex]12+y-12=43-12\\y=31[/tex]
Therefore, the greater number equates to 31.
I hope this helps!
PLEASE HELP!!! Which number line shows the solution 2/3x-5>3
Answers
Answer:
last option is the answer; all values greater than 12
Step-by-step explanation:
2/3x - 5 > 3
2/3x > 8
x > 24/2
x > 12
Answer:
the last one
Step-by-step explanation:
I took the test
A bus is traveling at a constant speed. If the bus travels 15miles in
of an hour, how many miles will the bus travel in one
Answers
Answer:
15 miles
Step-by-step explanation:
If the bus is travelling at a constant speed of 15 miles per hour, then in 1 hour, the bus would have travelled 15 miles.
ASAP PLEASE HELP AND EXPLAIN!!!!!!!!