Answer:
$1,045.21
Step-by-step explanation:
Step-by-step explanation:
45°, 45°, 90° triangle theorem states that:
Lengths of the sides opposite to the 45° angle are equal to one upon root two times of the length of hypotenuse.
Mathematically it can be expressed as:

Step-by-step explanation:
1.(2,3)
2.No
3.1st quadrant
4.5
5.Yes
6.Quadrant-4
7.(2,-3)
<h3>
Answer: y = 14</h3>
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Explanation:
The two angles involving x add up to 180 degrees. This is because they are same side interior angles (and because the horizontal lines are parallel)
So,
(angle BCF) + (angle EFC) = 180
(5x - 66) + (2x + 50) = 180
5x - 66 + 2x + 50 = 180
7x - 16 = 180
7x - 16+16 = 180+16 ... add 16 to both sides
7x = 196
7x/7 = 196/7 .... divide both sides by 7
x = 28
This will be used to help find y
Notice how the angles BCF and ACD are vertical angles, therefore they are congruent or the same measure
angle ACD = angle BCF
9y - 52 = 5x - 66
9y - 52 = 5*28 - 66 ..... replace x with 28 (since x = 28)
9y - 52 = 140 - 66
9y - 52 = 74
9y - 52+52 = 74+52 .... add 52 to both sides
9y = 126
9y/9 = 126/9 .... divide both sides by 9
y = 14
Answer:
a. 
b. 
c. 
Step-by-step explanation:
a. The volume of water initially in the fish tank = 15 liters
The volume of brine added per minute = 5 liters per minute
The rate at which the mixture is drained = 5 liters per minute
The amount of salt in the fish tank after t minutes = x
Where the volume of water with x grams of salt = 15 liters
dx = (5·c - 5·c/3)×dt = 20/3·c = 

b. The amount of salt, x after t minutes is given by the relation




c. Given that in 10 minutes, the amount of salt in the tank = 25 grams, and the volume is 15 liters, we have;



