Answer: the base is 28 inches. The altitude is 9 inches
Step-by-step explanation:
Let h represent the altitude of the sign.
Let b represent the length if the base of the sign.
The warning sign is triangular in shape.
The formula for determining the area of a triangle is expressed as
Area = 1/2bh
The base of the sign is 9 inches longer than the altitude. This means that
b = h + 9
If the area of the sign is 266 square inches, it means that
266 = 1/2 × h(h + 9)
266 × 2 = h(h + 9)
532 = h² + 9h
h² + 9h - 532 = 0
h² + 28h - 19h - 532 = 0
h(h + 28) - 19(h + 28) = 0
h(h + 28) - 19(h + 28) = 0
(h + 28)(h - 19) = 0
h = 19 or h = - 28
Since the height cannot be negative, then h = 19
b = h + 9 = 10 + 9
b = 28
1/2 - 3/11
Set both denominators (bottom numbers) to 22, so multiply the numerator of 1/2 by 11, and multiply the numerator of 3/11 by 2.
1/2 is now 11/22
3/11 is now 6/22
So, our new question is now : 11/22 - 6/22
Because the denominators are the same, all you have to do is simplify the top numbers.
So, 11-6 = 5
Therefore, your answer is 5/22
~Hope I helped!~
Answer:
4x - 2
Step-by-step explanation:
3(2x - 2) - 2(x - 2) [Distributive Property]
6x - 6 - 2x + 4
4x - 2
Well, if you run 5 miles in 25 minute you run a mile every 5 minutes. So, there is 190 minutes in 3 hours. So we would need to divide 190 by 5 which is 38. So, the person could run 38 miles in 3 hours.
