<h2>Question:- </h2>
A water tank can be filled completely in 15 hours. if the tank is filled for 5½hours and left .what part of the tank is remained to be filled
<h2>Answer:-</h2>
<h3>UNITARY METHOD :- </h3>
In 15 hrs if X lts of tank is filled
then in 1hr ![\frac{x}{15 } lts \: is \: filled \:](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B15%20%7D%20lts%20%5C%3A%20is%20%5C%3A%20filled%20%5C%3A%20)
so in 5½ hrs ![( \frac{x}{15} \times \frac{11}{2})lts \: is \: filled \:](https://tex.z-dn.net/?f=%28%20%5Cfrac%7Bx%7D%7B15%7D%20%20%5Ctimes%20%20%5Cfrac%7B11%7D%7B2%7D%29lts%20%5C%3A%20is%20%5C%3A%20filled%20%5C%3A%20)
<h3>Amount left to be filled :- </h3>
![x - \frac{11x}{30} \\ \frac{30x - 11x}{30} \\ \frac{19x}{30} = part \: \: left \: to \: be \: filled \:](https://tex.z-dn.net/?f=x%20-%20%20%5Cfrac%7B11x%7D%7B30%7D%20%20%5C%5C%20%20%5Cfrac%7B30x%20-%2011x%7D%7B30%7D%20%20%5C%5C%20%20%5Cfrac%7B19x%7D%7B30%7D%20%20%3D%20part%20%5C%3A%20%5C%3A%20left%20%5C%3A%20to%20%5C%3A%20be%20%5C%3A%20filled%20%5C%3A%20)
<h3>In percentage:- </h3>
![\frac{19x}{30 \times x} \times 100 \\ \frac{19 \cancel{x}}{3 \times \cancel{x}} \times 10 \\ \frac{190}{3} = 63.33\% \\ 63.33\% = \% \: left \: to \: filled \:](https://tex.z-dn.net/?f=%20%5Cfrac%7B19x%7D%7B30%20%5Ctimes%20x%7D%20%20%5Ctimes%20100%20%5C%5C%20%20%5Cfrac%7B19%20%5Ccancel%7Bx%7D%7D%7B3%20%5Ctimes%20%20%5Ccancel%7Bx%7D%7D%20%20%5Ctimes%2010%20%5C%5C%20%20%5Cfrac%7B190%7D%7B3%7D%20%20%3D%2063.33%5C%25%20%5C%5C%2063.33%5C%25%20%3D%20%5C%25%20%5C%3A%20left%20%5C%3A%20to%20%5C%3A%20filled%20%5C%3A%20)
3394.4566262639437 i hope this helps thanks very much
Answer:
Step-by-step explanation:
We want a line parallel to 3x − 4y = 7. Any such line will have an equation of the same form but a different constant.
If the new line is to pass through the point (-4, -2), replace x with -4 and y with -2. We obtain:
3(-4) − 4(-2) = -12 + 8 = -4. Thus, the desired new equation is 3x − 4y = -4.
This could also be written as 3x − 4y + 4 = 0. We could also solve this for y, obtaining:
3x + 4 = 4y, or y = (3/4)x + 1.
The angles are 37° and 143°
Step-by-step explanation:
Supplementary angles are thoe angles that sum up to 180 degrees
In the given case,,
Let x be one angle
Then the other angle will be:
4x-5
So,
![x+ (4x-5) = 180\\x+4x-5 = 180\\5x - 5 = 180\\5x = 180+5\\5x = 185](https://tex.z-dn.net/?f=x%2B%20%284x-5%29%20%3D%20180%5C%5Cx%2B4x-5%20%3D%20180%5C%5C5x%20-%205%20%3D%20180%5C%5C5x%20%3D%20180%2B5%5C%5C5x%20%3D%20185)
Dividing both sides by 5
![\frac{5x}{5} = \frac{185}{5}\\x = 37](https://tex.z-dn.net/?f=%5Cfrac%7B5x%7D%7B5%7D%20%3D%20%5Cfrac%7B185%7D%7B5%7D%5C%5Cx%20%3D%2037)
The other angle will be:
![4x-5 = 4(37) - 5 = 148 - 5 = 143](https://tex.z-dn.net/?f=4x-5%20%3D%204%2837%29%20-%205%20%3D%20148%20-%205%20%3D%20143)
So,
The angles are 37° and 143°
Keywords: Supplementary angles
Learn more about angles at:
#LearnwithBrainly
Step-by-step explanation:
volume=8448m²
volume=l×b×h
=11m×8m×t
=88m²×t
therefore, 88m²×t=8448m²
t= 8448/88
= 96
Check:-
volume= l×b×h
=11m×8m×96
=8448m³
Our answer is correct