The sum of two numbers is −12.6 , identify two negative addends that make the statement true.
1 answer:
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<h2>Answer: 6 gallons </h2>
First we are told that we initially had 1/3 of the tank and when 10 gallons were added we had 3/4 of the tank:
(1)
(2)
(3)
This means 1 gallon is equivalent to 1/24 tank.
On the other hand if we have 3/4 of a tank and need to reach 1 tank we have to add another fraction of the tank:
(4)
(5)>>>>This is the fraction needed to complete 1 tank
Now we need to know <u>how much that 1/4 tank is equivalent in gallons</u>.
From (3) we know . So, we can write the following relation to transform from fractions of a tank to gallons:
Therefore:
<h2>6 more gallons are needed to fill the tank</h2>Answer:
secθ = - 2
Step-by-step explanation:
Using the identity
sec²θ = 1 + tan²θ
= 1 + ( )² = 1 + 3 = 4 ( take the square root of both sides )
secθ = ± = ± 2
Since secθ < 0 in the third quadrant , then
secθ = - 2