tap A fills a tank in 6 hours tap B fills it in 8 hours and tap C empties it in 10 hours. starting with an empty tank and all the three taps are opened find how long it takes to fill the tank?
Answer:
It will take 5 hours and 5 minutes to fill the tank
Step-by-step explanation:
Here, we want to get the time taken to fill the tap
Let us have the rate per hour
A fills in 6 hours; so the fraction filled in an hour is 1/6
B fills in 8 hours, so the fraction filled in an hour is 1/8
C empties in 10 hours, so the fraction removed per hour is 1/10
So factoring the supply and removal, where removal is on a negative basis
we have it that in an hour, the fraction retained is;
1/6 + 1/8 - 1/10
= (20 + 15 - 12)/120
= 23/120
So this is the fraction retained per hour
The number of hours it will take to have a whole is simply the reciprocal of this fraction
That would simply be 120/23 = 5 5/23
5 hours and 5 minutes
What is the area of a triangle that has a height of 6 ft and a base length of 7 feet?
Answer: 21ft
Step-by-step explanation:
Answer:
the area of triangle is height ×base
6×7=42
i think this is the answer
How many triangles can a polygon with 32 sides be sectioned into?
brianlist anyone?!?!?!
Answer:
its the third one
Step-by-step explanation:
Answer:
C. Y-6= 3/4 (x+4)
Step-by-step explanation:
Diagonals AC and BD form right angles at point M in parallelogram ABCD. Prove ABCD is a rhombus.
Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point B to point D and intersect at point M. Sides A B and D C are parallel and sides B C and A D are parallel. A square is drawn around point M.
Statements
Reasons
1. ABCD is a parallelogram 1. given
2. ∠AMB, ∠BMC, ∠CMD, and ∠DMA are right angles 2. given
3. ∠AMB ≅ ∠BMC ≅ ∠CMD ≅ ∠DMA 3. right angles are congruent
4. AC bisects BD;
BD bisects AC; 4. diagonals of a parallelogram bisect each other
5. AM ≅ MC, MB ≅ MD 5. definition of a bisector
6. ? 6. SAS congruency theorem
7. AB ≅ BC ≅ CD ≅ DA 7. CPCTC
8. figure ABCD is a rhombus 8. definition of a rhombus
△ABC ≅ △ADC ≅ △BAD ≅ △BCD
△AMB ≅ △CMB ≅ △CMD ≅ △AMD
△ABC ≅ △ADC ≅ △AMD ≅ △BMC
△AMB ≅ △CMD ≅ △BAD ≅ △BCD
The missing statement which is statement 6 is; △AMB ≅ △CMB and ≅ △CMD ≅ △AMD
How to carry out a two column proof?We have been given several statements and reasons in the given two column proof to prove that ABCD is a rhombus.
Now, the only missing parameter is statement 6 which has its' reason as SAS congruency theorem.
From all the reasons and statements given before statement 6, we can arrive at the conclusion that;△AMB ≅ △CMB and ≅ △CMD ≅ △AMD
Read more about two column proof at; https://brainly.com/question/1788884
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Answer:
B: △AMB ≅ △CMB ≅ △CMD ≅ △AMD
Step-by-step explanation:
edg
what is the answer please
A line contains the point (-2, 2) and isparallel to the line y = ½x + 8. What is the
equation of this parallel line?
Answer:
Step-by-step explanation:
y - 2 = 1/2(x + 2)
y - 2 = 1/2x + 1
y = 1/2x + 3
pleaee help due pretty soon
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Straight lines.
Since,
y-y1 = m(x-x1)
hence the option B.) is correct.
====> y-3 = 6 (x+8)
PLEASEEEEE HELPPPPPO!!!!
Answer:
Search it
Step-by-step explanation:
Duh............................................................
What is the mean of the following data set 5,9,5,2,,10
Answer:
6.2
Step-by-step explanation:
Answer:
6.2
Step-by-step explanation:
mean is equal to all the numbers in the data set added together divided by the number of numbers in the data set
help help help help help
g(x)=(x-58)^2 in vertex form
Answer:
Use photo math, it will explain everything
The expression mc022-1.jp is equivalent to 3(x)+9. 3(x)+3(9). 3(x) – 9. 3(x) – 3(9).
Answer:
Step-by-step explanation:
its D. 3(x)-3(9)
Answer:
I think its D
Step-by-step explanation:
Srry if this is wrong
Have a nice day!!!!
（*^_^*）
Can anyone help me with this question please ?
I’ll mark you as a brainliest
PLEASE HELP THIS IS DUE SOON <33
Find the least possible measure of the third side of a triangle with the given side lengths if the missing measure is a whole number. The given side lengths are 7 in and 11 in.
Answer:
5 inches
Step-by-step explanation:
Theorem states that the smaller two sides of a triangle have to be greater than the biggest side.
The least possible answer would be 5 inches.
Find the value of x.
Answer:
x=4
Step-by-step explanation:
Power of the Point Theorem:
x*3=6*2
3x=12
x=4
Question is on picture
Please help
Zoom in if needed :D
Which choice is equivalent????
Answer:
B) [tex]2\sqrt{21}[/tex]
Step-by-step explanation:
[tex]\sqrt{14} *\sqrt{6} =\\\sqrt{84} \\2\sqrt{21}[/tex]
Which graph can be defined by the function y = -6x +
1?
Click on the correct graph.
A)
-15
c)
D)
15
15
10
-10
-15
Answer: The answer is A I am 100% sure
Step-by-step explanation:
this is standard form (9x10 to the power of -4) to the power of 2
Answer:
9×10 to the power of -8
Step-by-step explanation:
Cause when we add power to the power we multiply them
For example [tex](2^{2} )^2[/tex] , we multiply the power so , 2×2= 4 so [tex](2^{2} )^2[/tex] = [tex]2^{4}[/tex]=16
Same here [tex]((9*10)^{-4} )^2[/tex] we multiply the powers so -4×2=-8
So [tex]((9*10)^{-4} )^2[/tex] =[tex](9*10)^{-8}[/tex] = 2.323×[tex]10^{-16}[/tex]
The McDonald's Play Place is going to increase its ball pit size to allow for more fun! The ball pit was originally 10 feet by 12 feet. They have decided to increase each side by the same amount. Express the area of the new pit as a polynomial in simplest form.
Answer:
A = x² + 22x + 120
Step-by-step explanation:
Since the ball pit was originally 10 feet by 12 feet and each side is increased by the same amount which we would call x, the new length of sides are thus 10 + x and 12 + x respectively.
The area of the new pit is thus A = (10 + x)(12 + x), since it is a rectangle.
Expanding the brackets, we have
A = 10 × 12 + 10x + 12x + x²
collecting like terms, we have
A = 120 + 22x + x²
A = x² + 22x + 120
what is the GCF (greatest common factor) of 12 and 27.
Step-by-step explanation:
The GCF of these numbers is 3 i did found it by prime Factorization 12 prime Factorization is 3x2x2 and for 12 is 3x3x3 so 3 it is the same of both so us it and bye have a good day
Answer:
Since u got this answer could u mark me and thank you
Step-by-step explanation:
what number is 35% of 56
show work
Answer:
35% = 0.35
56 times 0.35 = 19.6
Answer is 19.6
Step-by-step explanation:
Answer:
19.6
Step-by-step explanation:
35% = 0.35
56 times 0.35 = 19.6
Answer is 19.6
please get it right, i done this so many times now, i'm running out of points
Answer:
y-intercept: [tex](0,5)[/tex]
x-intercept: [tex](5/2,0)[/tex]
Answer:
x-intercept = (5/2, 0)
y-intercept = (0,5)
please help im trying to find "x"
Answer:
8
Step-by-step explanation:
Lucas scored 9 goals in 4 soccer games last season. Approximately how many points did Lucas average per game?
Answer:
Lucas scored approximately 2.25 or 2 1/4 goals per game.
Step-by-step explanation:
To find out just divide 9 to 4. Hope this helps :)
Lucas scored points at an average 2.25 per game.
What is average?The average is calculated as the product of all values divided by all possible values. It can also be described as mean. The mean in statistics is the average value for the particular sample or collection of data. It is determined by dividing the sum of the total number of observations by the total number of observations.
Given:
Lucas scored 9 goals in 4 soccer games last season.
Average per game = total goals / total game.
= 9/4
= 2.25
Therefore, the average is 2.25 per game.
To learn more about the average;
https://brainly.com/question/29550341
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Jerry rhombus has a base of 15 inches and a height of 9 inches. Charlene rhombus has a base
Complete Question:
Jerry’s rhombus has a base of 15 inches and a height of 9 inches. Charlene’s rhombus has a base and a height that are 13 the base and height of Jerry’s rhombus. Compare the area of Charlene’s rhombus to the area of Jerry’s rhombus.
Answer:
Charlene's rhombus has a larger area
Step-by-step explanation:
Given
Jerry's
[tex]Base = 15in[/tex]
[tex]Height = 9in[/tex]
Charlene's
[tex]Base = Height = 13in[/tex]
Required
Compare both areas
The area of rhombus is:
[tex]Area = Base * Height[/tex]
For Jerry's
[tex]Area = 15in * 9in[/tex]
[tex]Area = 135in^2[/tex]
Charlene's
[tex]Area = 13in * 13in[/tex]
[tex]Area = 169in^2[/tex]
By comparison: Charlene's rhombus has a larger area by 34in^2
Answer:
I THINK THE ANSWER IS 1/9 WHICH IS THE 2ND ANSWER.
Step-by-step explanation:
I DONT HAVE AN EXPLANATION BUT I DO KNOW ITS ACCURATE
factor the trinomial 6y^2+19y+15?
Answer:
6y^2+43
Step-by-step explanation:
6y^2+(19+15)
Answer:
(2y+3)(3y+5)
Step-by-step explanation:
6y^2+19y+15
Factor the expression by grouping. First, the expression needs to be rewritten as 6y^2+ay+by+15. To find a and b, set up a system to be solved.
a+b=19
ab=6×15=90
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 90.
1,90
2,45
3,30
5,18
6,15
9,10
Calculate the sum for each pair.
1+90=91
2+45=47
3+30=33
5+18=23
6+15=21
9+10=19
The solution is the pair that gives sum 19.
a=9
b=10
Rewrite 6y^2+19y+15 as (6y^2+9y)+(10y+15).
(6y^2+9y)+(10y+15)
Factor out 3y in the first and 5 in the second group.
3y(2y+3)+5(2y+3)
Factor out common term 2y+3 by using distributive property.
(2y+3)(3y+5)
PLEASE HELP FAST MEAN MEDIAN AND MOVE I WILL GIVE BRAINLIST AND EXTRA POINTS
Answer:
mode; 8
mean; 5
median; 8
Step-by-step explanation:
What are the square roots of each perimeter of a rectangle?
Answer:
Step-by-step explanation:
The perimeter is simply 2 times length + 2 times width. In the case of our square, this would simply be 2x+2x (since length = width), or 4x . Therefore, if given an area, all you'd do is take the square root (to get from x2 to x , and then multiply by 4 to find perimeter.
Answer:
The first method
Take a square root, then multiply it by 4.
The defining characteristic of a square is that its length is equal to its width. Take a look below:
Self-created
So, for this particular square, the area is length⋅width, or x⋅x=x2. Now, how can you go from this to perimeter?
Well, the formula for perimeter is simply 2 times length + 2 times width. In the case of our square, this would simply be 2x+2x (since length = width), or 4x.
Therefore, if given an area, all you'd do is take the square root (to get from x2 to x, and then multiply by 4 to find perimeter.
The second method
s=√A
P=4×s
Explanation:
To find the perimeter of square, you just need to know the length of one side, because in a square all the sides are the same length.
If you know the area, find the square root of it to find the side.
s2=A
∴s=√A
Now you multiply by 4
For example, if the area is 36cm2
A=36
s=√36=6
P=4×6=24
Step-by-step explanation:
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A politician claims that a proposal for a new traffic law is broadly supported by both political parties and that a person from either political party is equally likely to support the proposed legislation. He cites two recent polls that said 70% of a random sample of 550 people from his political party supports the law, and 65% of a random sample of 420 people from the other political party supports the law. The 95 percent confidence interval for the difference in population proportions is (–0.010, 0.110). Based on the interval, is the politician’s claim justified?
Answer:
Based on the 95% confidence interval for the difference in population proportion, there is convincing statistical evidence that he is correct
Step-by-step explanation:
The proportion from the sample of people from his party that support the law = 70%
The number the members of the politicians political party that support the law = 550 people
The proportion from the sample of people from the other party that support the law = 65%
The number the members of the politicians political party that support the law = 420 people
The confidence level of the test = 95%
The given confidence interval for the difference in proportion, C.I. = (-0.010, 0.110)
Given that the 95% confidence interval for the difference in population proportion ranges from -0.010, to 0.110, it is 95% certain that 0 is among the likely difference in proportion between the two populations and therefore, there is sufficient statistical evidence to suggest that there is no difference in the proportion of the members of either political that support the proposed new traffic law.