Answer:
The answer is 1767.15cm^3
Step-by-step explanation:
The formula for finding the volume of a spherical object is 4/3(π)(r^3),where r is the radius of the object. But here only the diameter was given. And diameter=2(r), where r is radius.
So to find the radius, divide the diameter by 2. Since by making r the subject of the equation you get r=diameter/2.
Using the formula
4/3(π)(r^3)=(4π((15/2)^3))/3
=(4π(7.5^3)/3
=(4π(421.875))/3
Since π is 3.141592654
(4π(421.875))/3=1/3(4(3.141592654)(421.875))
=1/3(5301.437603)
=1767.145868
But I rounded off the answer to 2 decimal places and so I got 1767.14
The area of a parallelogram is base times height.
We can find the height by deriving a right triangle from the 60 degree angle and the 6 cm hypotenuse
sin(60°) = opp/hyp = x/6
√3/2 = x/6 Multiply both sides by 6
3√3 = x
x = 3√3
The height is 3 √3
Area = base x height
Area = 3√3 * 8
Area = 24 √3 cm²
Answer is C) 24 √3 cm²
Answer: y=x+5/2
Step-by-step explanation:
using the slope intercept formula, y=mx+b where m is the slope and b is the y-intercept, you can substitute the two values to get y=x+5/2. Please note that the slope, m, is one so it's not shown.
Answer irdk just need points lol.