This article is about equivalency in mathematics. For equivalency in music, see equivalence class (music).
Congruence is an example of an equivalence relation. The leftmost two triangles are congruent, while the third and fourth triangles are not congruent to any other triangle shown here. Thus, the first two triangles are in the same equivalence class, while the third and fourth triangles are each in their own equivalence class.
In mathematics, when the elements of some set S have a notion of equivalence (formalized as an equivalence relation) defined on them, then one may naturally split the set S into equivalence classes.
The information is from https://en.wikipedia.org/wiki/Equivalence_class
If it is wrong I am sorry
9. The radius of sphere is increasing at a rate of 3cm/minute. Find the rate of change of volume
when r=2cm *
V = 12
48л
16л
64 л
32T
Answer:
48π
Step-by-step explanation:
Given that,
The radius of the sphere is increasing at a rate of 3cm/minute, [tex]\dfrac{dr}{dt}=3\ cm/minute[/tex]
The volume of a sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
Differentiating both sides wrt t.
[tex]\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3r^2\times \dfrac{dr}{dt}\\\\=4\pi r^2\times \dfrac{dr}{dt}[/tex]
Put r = 2 cm and dr/dt = 3 cm/minute
So,
[tex]\dfrac{dV}{dt}=4\pi r^2\times \dfrac{dr}{dt}\\\\\dfrac{dV}{dt}=4\pi \times 2^2\times 3\\\\\dfrac{dV}{dt}=48\pi[/tex]
Hence, the correct option is (a) "48π".
Answer and explain please ILL MARK BRAINLIEST
Answer:
the first one is steeper because it took off before the other plane and it is still below the other plane, which means that the hills deeper and it's going to take it longer to take off and get in the air.
Step-by-step explanation: I hope this is what you were looking for let me know if not and I will delete my answer ;)
The width of the wall is X +2 feet in the diagram if the perimeter of the wall is 6X +10 feet what is the length of the wall
Answer:
Hope this will help you. Here you have to use the formula P = 2(l+b)
Combine like terms
x + 10x-30= -8
Answer: x=2
Isolate the variable by dividing each side by the factors that don't contain variables.
"bananas cost 89 cents each at the fruit stand.. Isabel has $11.75. how many bananas can she buy?" i forgot how to do this stuff pls help
Answer:
She can buy 13 bananas
Step-by-step explanation:
She has 11.75 and each banana costs .89
Start by dividing 11.75/.89 = 13.20
She will be able to buy 13 bananas total since she cannot buy a portion of a banana (0.2) so she will just have some leftover change.
A school bus carries 20 students. There are
currently 215 students in the 7th grade. How many
school buses are needed to take the 7th grade on a
field trip?
Answer:
11 buses
Step-by-step explanation:
215 divided by 20 is 10.75 and rounding up makes more sense for this problem, so 11 buses would be needed to carry the entire 7th grade.
Two boards are placed end to end to make a walkway. One board is 5 feet 11 inches long, and the other board is 4 feet 6 inches long. How long is the walkway?
Write your answer in feet and inches. Use a number less than 12 for inches.
Answer:
10 feet 5 inches long
Step-by-step explanation:
12 inches = 1 foot
11 inches + 6 inches = 17 inches = 1 foot 5 inches
1 foot 5 inches + 5 feet + 4 feet = 10 feet 5 inches
Therefore, the walking board is 10 feet 5 inches long
Write the equation of the line, in slope-intercept form, through the
following two points
(-4,-9)
(1, 11)
Answer:
(1, 11)
that the answer
I don't know it is not sure it say Write the equation of the line, in slope-intercept form, through the
following two points
that why i say that
PLEASE HELP
what is 74 × 12
please show your work
(I'm giving out easy points dont be sad if you didn't get points on this one, I'll be posting a lot of them so no worries)
PLS HELP
WILL GIVE BRAINIEST
The points plotted below are on the graph of a polynomial. Which of the
following x-values is the best approximation of a root of the polynomial?
Check all that apply.
A. X-1.1
B. X= 4.3
C. x=2.4
D. X=6
E.X=1
Answer:
I don't know the answer but have a site that helps me with math, its called
Step-by-step explanation:
Just check it out
3/5x2/3 thanks for the help
3 x 2 6
-- -- = --
5 3 15
6/15 can be simplified to 2/5.
---
hope it helps
Can someone please help meeeee I’m desperate
PLEASE HELP DUE TONIGHT
Answer:
The answer should be 20,000 feet
Step-by-step explanation:
sin 0 =opposite/hypotenuse
sin 30 = AB/AC
sin 30 = 10000/c
c= 10000/sin 30
c=10000/1/2
c=20,000 feet
in the following figure, the value of x is ____
Answer:
it should be 20 i hope it helps but im nt 100% sure
Step-by-step explanation:
WRITE AN EQUETION TO REPREDENT ECH ONE
Answer:
2x=3
W+1.3=2.7
3y=5.1
z+1/3=1/2
Step-by-step explanation:
You just add up all on the left to equate that on the right
2x=3
W+1.3=2.7
3y=5.1
z+1/3=1/2
In case you have to solve:
x=3/2
W=2.4
y=1.7
z=1/6
The mean length of 9 childrens' big finger is 6.8cm.
The mean length of 3 adults' big finger is 11cm.
What is the mean length (rounded to 2 DP) of these 12 people's big finger?
Answer:
The mean length of these 12 people's big finger is of 7.85 cm.
Step-by-step explanation:
Mean value:
Sum of the values of all observations divided by the number of observations.
In this question:
9 + 3 = 12 total observations
Sum:
[tex]9*6.8 + 3*11 = 94.2[/tex]
So
[tex]M = \frac{94.2}{12} = 7.85[/tex]
The mean length of these 12 people's big finger is of 7.85 cm.
Which graph represents-5x+4y≥-1?
Answer:
D!
Step-by-step explanation:
Desmos has a free graphing calculator for future references :)
f(x)= 3x+10 and g(x)= 3x-7
Answer:
1. x=-10/3
2. x=7/3
Step-by-step explanation:
plsssssssss mark me brainliest I need one more
The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees. What is the radius of the circle in inches? Show work. a. 5.7 b. 8 c. 64 d. 104
The radius of the circle is 8 inches when the sector of a circle has an area of 104pi/9 square inches.
What is a sector of a circle?A sector is said to be a part of a circle made of the arc of the circle along with its two radii. It is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.
Which is the radius of a circle?Radius of a circle is the distance from the center of the circle to any point on it's circumference.
Area of a sector = [tex]\frac{\theta}{360} \pi r^2[/tex]
[tex]\text{Given area = }\frac{104\times \pi}{9}=\frac{65}{360}\times \pi r^2\\\\\frac{104}{9}=\frac{65}{360} \times r^2\\\\r^2=\frac{37440}{585}\\\\r=8.001[/tex]
Hence, option b is correct, that is the radius of the circle is 8 inches.
To learn more about sector here
https://brainly.com/question/16989821
#SPJ2
HELP ASAP I WILL MARK BRAINLIST!!!!
Answer 25 degrees
Step-by-step explanation:
90-65 =25
Factorise
1) 9a^2 - 6a
Answer:
9a^2 - 6a
taking common
3a(3a-2)
i will give you brainliest whoever answers correct first!!
Answer:
74.4 (llllllllllll ignore this i need 20 characters to answer)
Find the derivative of f(x)=4x+7 at x = 5.
Answer:
27
Step-by-step explanation:
f(x) is the same as y
if x=5 then you will multiply 5 by 4 which will give you 20
20 + 7 = 27
Erin Thompson agreed to purchase a house for 97,900
Answer:
wow
Step-by-step explanation:
no way bro that's brazy
2(4y) + 4(3r) answer
Answer: 8y+12r
Step-by-step explanation:
Take the equation
2(4y)+4(3r)
Distribute the 2 and 4 into the parenthesis'
8y+12r
Please help!
Given the figure is a square, find x, y and z
Answer:
Step-by-step explanation:
Did u find it? Because I can’t figure it out euther
1
8 million tonnes of fish were caught in the North sea in 2005, if the catch is reduced by 20% each year for four years, what amount can be caught at the end of this time
Answer:
At the end of that period, 3,276,800 tonnes of fish could be caught in the North Sea.
Step-by-step explanation:
Given that 8 million tonnes of fish were caught in the North sea in 2005, if the catch is reduced by 20% each year for four years, to determine what amount can be caught at the end of this time the following calculation must be performed :
100 - 20 = 80
Year 0 = 8 million
Year 1 = 8 x 0.8 = 6.4 million
Year 2 = 6.4 x 0.8 = 5.12 million
Year 3 = 5.12 x 0.8 = 4,096 million
Year 4 = 4.096 x 0.8 = 3.2768 million
Thus, at the end of that period, 3,276,800 tonnes of fish could be caught in the North Sea.
The Booster Club sells meals at basketball games . Each meal comes with a choice of a main: hamburgers , pizza , hot dogs, cheeseburgers , or tacos, and a choice of a drink: root beer, lemonade, milk, coffee, tea, or cola. How many possible sandwich/drink combinations are there? (Show work) (2 pts)
30 combinations is the answer.
Step-by-step explanation:
Each meal comes with a choice of hamburgers, pizza, hot dogs , cheeseburgers or tacos means 5 options.
And a choice of root beer lemonade, milk , coffee, tea or cola means 6 options.
So, possible combination can be = combinations.
A biologist is growing a population of bacteria for a study. The number of millions of bacteria in the population is modeled by a function, f(x), where x is the number of days since yesterday. The table shows values of f(x) for different values of x.
x f(x)
−2 3.25
−1 3.5
0 4
2 7
4 19
The function f(x) can be represented by the equation f(x)=ax+b. Enter the value for a and b in the equation f(x)=ax+b.
Answer:
y = 2x
Step-by-step explanation:
Complete a table of values for –2 < x < 2. Connect the points on the graph with a smooth curve.
Select the true statement about triangle ABC.
A. sin A = sin C
B. sin A = cos B
C. sin A = cos C
D. sin A = tan c