Answer:
Part A: 6
Part B: 6√3
Step-by-step explanation:
Part A:
Since one angle measures 30°, and another angle is a right angle measuring 90°, the third angle measures 60°.
In a 30-60-90 the short leg is half of the hypotenuse.
YX = 12/2 = 6
Part B:
Method 1:
In a 30-60-90 triangle, the length of the long leg is √3 times the length of the short leg.
YZ = 6√3
Method 2:
Use the Pythagorean theorem.
a² + b² = c²
6² + (YZ)² = 12²
(YZ)² = 108
YZ = √(108)
YZ = √(36 × 3)
YZ = 6√3
Answer:
12.0 units is the answer
Step-by-step explanation:
Pythagorean theorem can be written as,
Rounding off,
d = 12.0 units
Answer:
Amount of empty space in the cylinder = 395.64 cm³
Step-by-step explanation:
Since the cylinder contains 3 tennis balls each measuring 6 cm in diameter, we can say that the diameter of the cylinder is 6 cm because the balls are on top of each other. Since we have 18 cm is the height of the cylinder,then;
Formula for volume of a cylinder is;
V = πr²h
We are to use π = 3.14
Thus, V_cylinder = 3.14 × (6/2)² × 18
V_cylinder = 508.68 cm³
Volume of a tennis ball is;
V_tennis ball = (4/3)πr³
V_tennis ball = (4/3) × 3.14 × (6/2)³
V_tennis ball = 37.68 cm³
Thus, volume of 3 tennis balls = 3 × 37.68 = 113.04 cm³
Amount of empty space in the cylinder = V_cylinder - V_3 tennnis ball = 508.68 - 113.04 = 395.64 cm³
Answer:
y = cos 2/3 x
Step-by-step explanation:
Answer:
pretty easy ヽ(･∀･)ﾉ
Step-by-step explanation:
When you are dividing by a decimal, you have to move the decimal to the right however many places to make it a whole number. In this case if you move the decimal 1 place to the right (that means multiplying by 10) .8 becomes 8. However many places you move the decimal, you have to do the same for the other number. In this case 30.0 becomes 300. Now the problem becomes 300 ÷ 8.
