Answer: after 40 seconds, the two tanks will have the same amount of water.
Step-by-step explanation:
Let x represent the number of seconds after which both tanks will have the same amount of water.
A fish tank has 150 gallons of water and is being drained at a rate of 1/2 gallons each second. It means that the number of gallons of water that would be in the tank after t seconds is
150 - 0.5t
A second fish tank has 120 gallons and it is being filled at a rate of 1/4 gallons each second. It means that the number of gallons of water that would be in the tank after t seconds is
120 + 0.25t
For the volume of both tanks to he the same, then
120 + 0.25t = 150 - 0.5t
0.25t + 0.5t = 150 - 120
0.75t = 30
t = 40 seconds
The interior angles of any triangle must add up to 180° in measure. Right angles have measure 90°, so the missing angles in both triangles here have measure 45°.
In a 45°-45°-90° triangle, the legs and hypotenuse occur in a ratio of 1 : √2. This means
(1) <em>x</em> = 48 √2
(2) 88 = √2 <em>x</em> → <em>x</em> = 88 / √2 = 44 √2
You could also set up trigonometric equations to solve for <em>x</em> in each case:
(1) cos(45°) = 48 / <em>x</em> → <em>x</em> = 48 / cos(45°) = 48 / (1 / √2) = 48 √2
(2) cos(45°) = <em>x</em> / 88 → <em>x</em> = 88 cos(45°) = 88 (1 / √2) = 44 √2
Answer:
5
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
9⅘ / 1⅖ = (49/5) / (7/5) = 49/5 * 5/7 = (49 * 5)/(5 * 7) = 5/5 * 49/7 = 1 * 7 = 7
Answer: 7
So base on the question, that states the weight of Rex from last year to the present, and find its rate if change or percentage of change. To calculate the percentage you must first subtract the said weight in the present to its past then divide it by its past weight then multiply it by 100. So the percentage would be 15 %. I hope this would help
