Answer:
x = 10
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Geometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse
Step-by-step explanation:
<u>Step 1: Identify</u>
Leg <em>a</em> = 8
Leg <em>b</em> = 6
Hypotenuse <em>c</em> = <em>x</em>
<em />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [PT]: 8² + 6² = x²
- Exponents: 64 + 36 = x²
- Add: 100 = x²
- Isolate <em>x</em>: 10 = x
- Rewrite: x = 10
Answer:
pretty sure the answer is the last one
Step-by-step explanation:
you put them to the 4th power to get rid of the root sign
The first thing we need to do is take in all this information. We already know that the answer is between 0 and 7 because Line Segment AC is equal to 7. Second of all, it is recommended to solve this problem on paper to make it easier. You write the measurement under each individual Line Segment. Now we have to try to find a way how to subtract the Line Segments in order to get the measurement of Line Segment BC. If we were to write an equation. We would get mAB + mBC + mCD + mDE = mAE . We now try to think about the values that they give us to try to simplify it as much as possible. That's all that I can give you. I am sorry. This is a pretty tough and evil question.
Answer: work is done in stretching it from 5.0in. to a length of 12.8in is 36 lb.In
Step-by-step explanation:
We know that
f(x) = kx
given that;
Natural length L = 5
x = 8.4 - 5 = 3.4
force F = 4.0 lb
f(x) = kx
we substitute
4 = k × 3.4
k = 4 / 3.4
k = 1.1764 = 20/17
Now work done from natural length to 12.8
x = 12.8 - 5 = 7.8
work done = ₀∫^7.8 f(x) dx
= ₀∫^7.8 kx dx
we substitute value of k
= ₀∫^7.8 (20/17)x dx
= 20/17 [ x²/2 ]
= 20/17 [ (7.8)²/2 - 0 ]
= 1.1764 × 30.42
= 35.786 ≈ 36 lb.In
Therefore work is done in stretching it from 5.0in. to a length of 12.8in is 36 lb.In
1,3,5,7,9,11,13,14,15,17,19 11 numbers
