To find whether 1/2 is greater than 1/3, it is important to convert them to decimals. By converting them to decimals, we can visually understand the number that is greater.
1/2 = 0.5
1/3 = 0.33
So from the above deduction we can conclude that 1/2 is greater than 1/3. I hope the procedure is not that complicated for you to understand. You can always use this procedure for finding the answer to similar kind of questions in future without requiring any help from anyone else.
Answer:
x=3or-1
Step-by-step explanation:
x-3 (5x-6)=3-10x
5x^2-15x-6x+18=3-10x
collect like terms
5x^2+18-3=15x+6x-10x
5x^2+15=11x
5x^2-11x+15=0
factorise
(x-3) (5x+5) =0
...... x=3 or -1
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Answer:
The height of the lamp post is 15 feet ⇒ 1st answer
Step-by-step explanation:
The ladder , the lamp post and the ground formed a right triangle, the length of the ladder is its hypotenuse (l), the height of the lamp post (h) and the horizontal distance on the ground between the base of the ladder and the base of the lamp post (d) are the legs of the triangle
By using Pythagoras Theorem ⇒ <em>the square of the hypotenuse is equal to the sum of the squares of the other two legs</em>
∵ l² = h² + d²
∵ The length of the ladder is 25 feet
∴ l = 25
∵ The ladder is placed 20 feet from the lamp post
- That means the distance between the base of the ladder and
the base of the lamp post on the ground
∴ d = 20
- Substitute the values of l and d in the Pythagoras formula
∵ (25)² = h² + (20)²
∴ 625 = h² + 400
- Subtract 400 from both sides
∴ 225 = h²
- Take √ for both sides
∴ 15 = h
∴ The height of the lamp post is 15 feet
A decimal number with a digit (or group of digits) that repeats forever. The part that repeats can also be shown by placing dots over the first and last digits of the repeating pattern, or by a line over the pattern. Also called a "Repeating Decimal".
Answer: Find the negative reciprocal of the slope of the original line and use the slope-intercept form y=mx+b to find the line perpendicular to y=1/5x−1. y=−5x−17
