Answer:
Step-by-step explanation:
<u>Use the law of cosines to find the side AB:</u>
<u>Use the Heron's area formula next:</u>
, where s- semi perimeter
- s = 1/2[x + x + 3 +
) = 1/2 (2x + 3 + ) - s - a = 1/2 (2x + 3 + - 2x - 6) = 1/2 (
- 3) - s - b = 1/2 (2x + 3 + - 2x) = 1/2 ( + 3)
- s - c = 1/2 (2x + 3 + - 2) = 1/2 (2x + 3 - )
<u>Now</u>
- (s - a)(s - b) = 1/4 [(x²+3x+9) - 9] = 1/4 (x² + 3x)
- s(s - c) = 1/4 [(2x + 3)² - (x² + 3x + 9)] = 1/4 (3x²+ 9x) = 3/4(x² + 3x)
<u>Next</u>
- A² = 3/16(x² + 3x)(x² + 3x)
- 300 = 3/16(x² + 3x)²
- 1600 = (x² + 3x)²
- x² + 3x = 40
<u>Substitute this into the first equation:</u>
9514 1404 393
Answer:
4 1/6 miles per hour
Step-by-step explanation:
6 minutes is 1/10 hour, so Sara's speed is ...
speed = distance/time
speed = (5/12 mi)/(1/10 h) = 50/12 mi/h
speed = 4 1/6 mi/h
Sara's speed is 4 1/6 miles per hour.
Answer:
15 ounces per box
Step-by-step explanation:
The rate StartFraction 165 ounces Over 11 boxes EndFraction describes the relationship between the number of boxes and the weight of the crackers in the boxes. What is the weight, in ounces, of one box?
Total weight of crackers in the boxes = 165 ounces
Total number of boxes = 11 boxes
What is the weight, in ounces, of one box?
Weight per box of crackers =
Total weight of crackers in the boxes / Total number of boxes
= 165 ounces / 11 boxes
= 15 ounces per box
The weight, in ounces, of one box is 15 ounces
Answer:18
Step-by-step explanation:
Because 40% of 45 is 18
1 bag with 48 candies, 2 with 24 candies, 3 with 16 candies, 4 with 12 candies, 6 with 8 candies, 8 bags with 6 candies, 12 with 4, 16 with 3 each, 24 with 2, and 48 with 1
