9514 1404 393
Answer:
4. 1.3 cm³
5. 621.2 mm³
6. 116.5 m³
Step-by-step explanation:
The height to the peak of the pyramid is one side of the right triangle that has its hypotenuse equal to the slant height, and one leg equal to half the base side length. The Pythagorean theorem is used to find the height from the slant height (s) and the base length (b):
h = √(s² -(b/2)²)
The volume is found from the formula ...
V = (1/3)b²h
where b is the base length and h is the height found using the previous formula.
The tedious arithmetic is nicely done using a spreadsheet. Results are attached.
The answers are shorter, higher, 2cm, 15cm, 20% and 15%.
Step-by-step explanation:
Step 1; From the given data Hugo measured his plant higher than its original height. Hugo measured his plant as 12 cm while it was actually 10 cm. So Hugo's measurement was off by 2cm. Hugo's percent error is given by dividing the difference in values by the actual value.= multiplied by 100.
% error = (difference in values / actual value) × 100
Hugo's % error = (12 - 10)/ 10 × 100 = 2/10 × 100 = 20%.
Step 2; Koby measured his plant lower than his plant's original height. He measured it to be 85 cm while it was 100 cm tall. So Koby's measurement was off by 15cm. The percent error is calculated in the same way.
% error = (difference in values / actual value) × 100
Koby's % error = (100 - 85)/ 100 × 100 = 15/100 × 100 = 15%.
Step 3; Hugo had a percent error of 20% while Koby has a percent error of 15%. So Hugo had a higher percent error of the two.
Answer:
a = √(b+ 6)
a² = b + 6 (Square both sides)
b = a² - 6 (subtract 6 from both sides)
Answer: x=7
Step-by-step explanation:
2x+9=23
2x=23-9
2x=14
X=14/2
Answer: I am pretty sure the answer is 7.
Step-by-step explanation:
15≥2p+1
subtract 1 from each side to get
14≥2p
divide 2 by each side to get
7≥p
I hope this helped
