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
Answer:
1300
Step-by-step explanation:
Given that :
Number of sections = 8
Number of seats per section, x ;
150 ≤ x ≤ 200
The possible Number of seats in the auditorium :
Number of seats per section * number of sections
150 * 8 ≤ x ≤ 200 * 8
1200 ≤ x ≤ 1600
The possible Number of seats will lie within 1200 and 1600
From the options, only 1300 lie within this range
1 man earns 810 / 12 = $67.5 in 10 days
by proportion 1 man will earn 0.8 * 67.5 = $54 in 8 days
So 14 men will earn 54 * 14 = $756 in 8 days.
Answer:
no solution
Step-by-step explanation:
If we subtract the left side of the equation, we get ...
This equation will equal zero only if m=3, which is disallowed because it makes the denominator zero. Thus, there is no solution.
Answer:
1 2/15
Explanation:
8 2/5 - 7 4/15 = ?
First convert the mixed numbers into improper fractions:
42/5 - 109/15 = ?
