X=22. The supplementary angle is 90°, so the 66° angle, plus (x+2) has to add up to 90° too.
Answer: There are 16 fish that he can keep in the aquarium.
Step-by-step explanation:
Since we have given that
Length of aquarium = 4 feet
Width of aquarium = 1 foot
So, it forms a shape of cuboid.
As we know the formula for "Volume of Cuboid":

According to question, Each fish needs atleast 0.5 cubic feet of water.
So, Number of fish that he can keep in the aquarium is given by

Hence, there are 16 fish that he can keep in the aquarium.
Answer:
42
Step-by-step explanation:
6*(-3) = (-18)
24-(-18) = 42
The airplane reaches its maximum height of 81 feet in 12 seconds.
<h3>Behavior of curves</h3>
If y =
, it means that the second derivate is 2 which is positive, then there is a minimum turning point.
If y = -
, it means that the second derivative will be -2 which is negative, then there is a maximum turning point.
Analysis:
h(t) = -
+ 81
By expanding,
h(t) = -(
- 24t + 144) +81
h(t) = -
+ 24t - 144 + 81
h(t) = -
+ 24t - 63
at turning point d/dt(h(t)) = 0
d/dt (h(t)) = -2t +24
-2t +24 = 0
if we differentiate again, second derivative is -2 which is negative, so it is a maximum point.
2t = 24
t = 12 seconds
h(t) at t = 12
h(t) =
+ 24(12) - 63 = 81 feet
In conclusion, the maximum height of the airplane after 12 seconds is 81 feet.
Learn more about minimum and maximum points: brainly.com/question/14993153
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Answer:

General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
<u>Alg I</u>
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (2, 6)
Point (1, 9)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:

- Subtract:

- Divide:
