The equation is true because both sides are identical.
<span> In math, we have a formula that relates these two parts of a circle. This formula is called the </span>circumference<span> formula, and it is C = pi*d where C stands for the </span>circumference<span> and d stands for the </span>diameter<span>. And pi is pi or 3.14.</span>
Answer:
x < 13
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
3x < 39
<u>Step 2: Solve for </u><em><u>x</u></em>
- Divide 3 on both sides: x < 13
Here we see that any value <em>x</em> smaller than 13 would work as solution to the inequality.
The function for this problem is:
h(t) = -16(t)^2 + vt + s
h= the height
t= time
v= velocity
s= starting height
With the information given, we know that the starting height is 0, since it was from the ground, and the velocity of the ball is 35 feet per second. Inserting the these information into the equation, we get:
h(t) = -16(t)^2 + 35t
Now the question asks to find the maximum height. It can be done by using a grapher to graph the maximum of the parabola. It could also be done by finding the vertex, which would be the maximum, of the graph by using x= -b/(2a), where b is equal to 35 and a is equal to -16. We get x=35/32, the x-value of where the vertex lies. You can use this value as the t-value in the previous equation to find the h-value of the vertex. When you do, you get h= 19.1 feet, or answer D.
Solution here,
dimentions of is 20 in. by 10 in. by 12 in.
i.e. volume of tank=20×10×12=2400 cu. in.
Again,
the tank holds 10 gallons of water
i.e. 10 gallons of water occupies 2400 cu. in.
so, 1 gallon of water occupies 2400/10 cu.in.
=240 cu.in
