Answer:
r = 7.1 cm
Step-by-step explanation:
Given the following data;
Volume of hemisphere = 757 cm³
To find the radius of the hemisphere;
Mathematically, the volume of a hemisphere is given by the formula;
Volume of hemisphere = ⅔πr³
Where, r is the radius of the hemisphere.
π = 22/7
Substituting into the formula, we have;
757 = ⅔πr³
Cross-multiplying, we have;
757 * 3 = 2πr³
2271 = 2*22/7*r³
2271 = 44/7*r³
Cross-multiplying, we have;
2271 * 7 = 44r³
15897 = 44r³
r³ = 15897/44
r³ = 361.30
Taking the cube root of both sides, we have;
r = 7.1223
To the nearest tenth of a centimeter;
r = 7.1 cm
x=71°
Step-by-step explanation:
an angle on a straight line=180°
so 180-32=148°÷2-6
Answer:
The answer is 18.
Step-by-step explanation:
9x2=18
sorry i dont know the answer huhuhuhuhu
Answer: the 2 integers are 15 and 17
Step-by-step explanation:
Let x represent the hypotenuse of the right angle triangle. Since the hypotenuse and the other leg are odd consecutive integers, then the other leg is x - 2 because x is longer
When a right angle triangle is formed, it means that
Hypotenuse² = opposite side² + adjacent side²
If the shortest side is 8, it means that
x² = (x - 2)² + 8²
x² = x² - 2x - 2x + 4 + 64
x² - x² + 2x + 2x = 68
4x = 68
x = 68/4 = 17
Therefore, the length of the other leg is
x - 2 = 17 - 2 = 15
