Answer:
Part 1) The volume of the ball is 256 cm³
Part 2) The radius of the ball is 3.94 cm
Step-by-step explanation:
Part 1) we know that
The density is equal to divide the mass by the volume
D=m/V
Solve for the volume
The volume is equal to divide the mass by the density
V=m/D
In this problem we have
m=128 g
D=0.5 g/cm³
substitute
V=128/0.5=256 cm³
Part 2) what is the radius of the ball?
we know that
The volume of the sphere (ball) is equal to
we have
assume
substitute and solve for r
Answer:
80*
Step-by-step explanation:
Doing the equation, You get the answer 85/8 or 85 over 8, converting that into a decimal equals 10.625, now since there's a 6 after the decimal and you want to estimate your answer is 11 . I hoped I explained this well ^-^
Answer:
c = 13
m∡A = 60°
m∡B = 30°
Step-by-step explanation:
This is a 5-12-13 triangle. However, to make sure, I will put the steps.
Allow for each sides to be denoted as a-b-c, in which c is the hypotenuse (longest side). Set the equation:
a² + b² = c²
Plug in the corresponding numbers to the corresponding variables:
5² + 12² = c²
Simplify. First, solve the exponents, and then add:
(5²) = 5 * 5 = 25
(12²) = 12 * 12 = 144
25 + 144 = c²
c² = 169
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, c, by rooting both sides:
√c² = √169
c = √169 = √(13 * 13) = 13
c = 13
13 is your answer for c.
Note the measurements of the angles. We know that this is a 30-60-90 triangle, and so it will be easy to figure it out. Note that the corresponding angles will depend on that of the opposite side's measurement lengths. The hypotenuse will always be on the opposite side of the largest angle (as given), as c, the longest side, is opposite of ∡C, which is the largest angle (90°). Based on this information, it means that ∡A would be 60° (as it is opposite of the middle number, 12), and ∡B would be 30° (opposite of the smallest number, 5).
The Answer is: 64 degrees
