Answer:
168 minutes
Step-by-step explanation:
It takes 120 minutes for the first person to clean the jellyfish tank.
This means that in 1 minute the first person cleans ![\[\frac{1}{120}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B120%7D%5C%5D%20)
of the tank.
Let the time taken by the second person working alone to clean the tank be x minutes.
Then in 1 minute the second person cleans ![\[\frac{1}{x}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7Bx%7D%5C%5D%20)
of the tank.
Working together, the two persons clean,
![\[\frac{1}{120} + \frac{1}{x}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B120%7D%20%2B%20%5Cfrac%7B1%7D%7Bx%7D%5C%5D%20)
of the tank
But it is given that the two persons working together can clean the tank in 70 minutes. This means that in 1 minute both of them can clean ![\[\frac{1}{70}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B70%7D%5C%5D%20)
of the tank.
Expressing in equation form:
![\[\frac{1}{120} + \frac{1}{x} = \frac{1}{70}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B120%7D%20%2B%20%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B1%7D%7B70%7D%5C%5D%20)
![\[=> \frac{1}{x} = \frac{1}{70} - \frac{1}{120} \]](https://tex.z-dn.net/?f=%5C%5B%3D%3E%20%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B1%7D%7B70%7D%20-%20%5Cfrac%7B1%7D%7B120%7D%20%5C%5D%20)
![\[=> \frac{1}{x} = \frac{12-7}{840} \]](https://tex.z-dn.net/?f=%5C%5B%3D%3E%20%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B12-7%7D%7B840%7D%20%5C%5D%20)
![\[=> \frac{1}{x} = \frac{5}{840} \]](https://tex.z-dn.net/?f=%5C%5B%3D%3E%20%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B5%7D%7B840%7D%20%5C%5D%20)
![\[=> \frac{1}{x} = \frac{1}{168} \]](https://tex.z-dn.net/?f=%5C%5B%3D%3E%20%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B1%7D%7B168%7D%20%5C%5D%20)
![\[=> x = 168 \]](https://tex.z-dn.net/?f=%5C%5B%3D%3E%20x%20%3D%20168%20%5C%5D%20)
This means that the second person can clean the tank in 168 minutes.
Answer:
y = 16
Step-by-step explanation:
4-3 is 1 also known as y
therfor y = 16
All that are true:
sin(C) = square root 3/2
tan(C) = square root 3
sin (B) = 1/2
Answer:
n = - 3
Step-by-step explanation:
Slope line r: (5-1)/(3+1) = 4/4 = 1
Slope of the perpendicular line: -1
p=(-4,4)
y-intercept: 4 - (-1)(-4) = 4 - 4 = 0
y = -x
(3,n) x = 3 and y = n
n = - 3
The scant of the cone is 5.83 in
<u>Explanation:</u>
Given:
Height, h of the cone = 3 in
Diameter, d = 10 in
Radius, r = 10/2 = 5 in
Scant, L = ?
Height, diameter and cone will form a right angle triangle.
Using pythagoras theorm:
(L)² = (h)² + (d)²
(L)² = (3)² + (5)²
(L)² = 34
L = 5.83 in
Therefore, the scant of the cone is 5.83 in
