Answer:
1774.67π mm³
Step-by-step explanation:
Please find attached to this question, the required diagram.
From the question, we are told we have a spherical mold.
We would find the volume of a spherical mold using the formula for the volume of a sphere.
The volume of a sphere is calculated as : 4/3πr³
From the attached diagram, we are given the Diameter do the spherical mold as: 22mm
Radius of the spherical mold = Diameter ÷ 2 = 22mm÷ 2 = 11mm
The volume of the spherical mold = 4/3 × π × 11³
= 1774.6666667π mm³
Approximately and leaving it in terms of pi (π)= 1774.67π mm³
Answer:
99.73%
Step-by-step explanation:
If you have a calculator with distribution functions, this problem boils down to using a single command:
norm(70.8, 85.2, 78, 2.4) = 0.9973
This tells us that 99.73% of the scores are in the 70.8-85.2 range.
Answer:
(30)(37)(-6⁷)(38⁸)
Step-by-step explanation:
(36⁴−6⁹)(38⁹−38⁸)
(36⁴ - 6⁹) = (6²)⁴ - 6⁹
= 6⁸ - 6⁹
= 6⁷(6 - 6²)
= 6⁷(6 - 36)
= 6⁷(-30)
(38⁹ - 38⁸)
= 38⁸(38 - 1)
= 38⁸(37)
36⁴−6⁹)(38⁹−38⁸)
6⁷(-30) × 38⁸(37)
(30)(37)(-6⁷)(38⁸)
Clearly 30 and 37 are factors, so divisible by them
Answer:
The answer is 6 hours
Step-by-step explanation:
26x6=156
The law of cosines can be written as:
Where
p, a, and b are the sides
P is the angle opposite of side p
Now,
x is what we want to find and other two sides given are 25 and 50 (let them be a and b)
Angle opposite to side unknown is 39 degrees, this is Angle P
Substituting, we get:
![\begin{gathered} p^2=a^2+b^2-2\text{abCosP} \\ x^2=25^2+50^2-2(25)(50)\text{Cos}39 \\ x^2=3125-2500Cos39 \\ x^2=3125-1942.86 \\ x=\sqrt[]{3125-1942.86} \\ x=34.38 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20p%5E2%3Da%5E2%2Bb%5E2-2%5Ctext%7BabCosP%7D%20%5C%5C%20x%5E2%3D25%5E2%2B50%5E2-2%2825%29%2850%29%5Ctext%7BCos%7D39%20%5C%5C%20x%5E2%3D3125-2500Cos39%20%5C%5C%20x%5E2%3D3125-1942.86%20%5C%5C%20x%3D%5Csqrt%5B%5D%7B3125-1942.86%7D%20%5C%5C%20x%3D34.38%20%5Cend%7Bgathered%7D)
