Answer:
The answer should be 44.72 inches.
Step-by-step explanation:
In order to find the height when given the volume, use the formula V=Ah
The area can be found by multiplying the length and the width. (x)(.5x) = .5x^2
Now, 1,000= .5x^2(h).
Take the volume and divide it by .5. This gives you 2,000.
Now the equation is 2,000=x^2 (h)
Take the square root of 2,000 and this gives you the answer of 44.72 inches.
Answer:
it is -25/18
Step-by-step explanation:
Answer:
the drop in the level of water in the container is 2.03 cm
Step-by-step explanation:
The volume of a cylinder can be written as;

the change in height when the volume changes can be derived by differentiating the equation.

substituting the given values;


the drop in the level of water in the container is 2.03 cm
Answer:
The next term is 54.
Step-by-step explanation:
Look carefully, and you will find that each number increases by 7.
12 + 7 = 19.
19 + 7 = 26.
26 + 7 = 33...
...and so on.
Therefore, the next term is 54 since 47 + 7 = 54.
Hope this helped!
Answer:
x = 8√2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only]: Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use PT to solve for the missing length.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 8
Leg <em>b</em> = 8
Hypotenuse <em>c</em> = <em>x</em>
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute [PT]: 8² + 8² = x²
- Exponents: 64 + 64 = x²
- Add: 128 = x²
- Isolate <em>x</em>: 8√2 = x
- Rewrite: x = 8√2