Image a right triangle with two points at these two locations and the hypothenuse as the distance between them.
Find the length straight down from the first point to the second: 10 units
Find the length to the right from the first point to the second: 10 units
Use the Pythagorean theorem: a^2 + b^2 = c^2
10^2 + 10^2 = 200
√200 = 10√2 = 14.14 units
Answer:
Step-by-step explanation:
The width of a rectangle is 4 meters less than twice the length. The area is 96 square meters. Find dimensions
Answer:
x = 9
Step-by-step explanation:
Step 1: Write equation
4(x - 2) = 3x + 1
Step 2: Solve for <em>x</em>
- <u>Distribute 4:</u> 4x - 8 = 3x + 1
- <u>Subtract 3x on both sides:</u> x - 8 = 1
- <u>Add 8 to both sides:</u> x = 9
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
- <u>Substitute:</u> 4(9 - 2) = 3(9) + 1
- <u>Parenthesis (add):</u> 4(7) = 3(9) + 1
- <u>Multiply:</u> 28 = 27 + 1
- <u>Add:</u> 28 = 28
Sound travels 10200m farther through stone in 17 seconds than through aluminium
Speed of sound in aluminium = 3100 m/s
The speed of sound in stone = 3700 m/s
Time taken = 17 minutes
Distance traveled = Speed x Time
Distance traveled by sound in aluminium in 17 seconds = 3100 x 17
Distance traveled by sound in aluminium in 17 seconds = 52700 m
Distance traveled by sound in stone in 17 seconds = 3700 x 17
Distance traveled by sound in stone in 17 seconds = 62900 m
Difference in the distance traveled = 62900 - 52700
Difference in the distance traveled = 10200 m
Sound travels 10200m farther through stone in 17 seconds than through aluminium
Learn more here: brainly.com/question/13096122
Answer:
x = 10/27
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
9/5x = 2/3
<u>Step 2: Solve for </u><em><u>x</u></em>
- Divide both sides by 9/5: x = 10/27
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 9/5(10/27) = 2/3
- Multiply: 90/135 = 2/3
- Simplify: 2/3 = 2/3
And we have our final answer!