Answer:
about 8.2 cm
Step-by-step explanation:
The key is to realize that the volume never changes.
The formula for the volume of a sphere is (4/3)*pi*radius^3
22/7 is being substituted in place of pi in this problem
The volume of one of the small spheres is
(4/3)*(22/7)*2^3 is about 33.524 cm^3
64 of those spheres would have a volume of 33.524*64, or about 2145 cm^3
Now, the problem is to find a sphere with a volume of 2145 cm^3
Volume = (4/3)*(22/7)*radius^3
plug in and solve
2145 = 4.1905*r^3
r^3=511.87
r is about equal to 8.2 centimeters
Answer:
Hope this image helps you. (sorry if it's tiny writing.)
Step-by-step explanation:
Answer:
Correct answer: ∝ = 18.43°
Step-by-step explanation:
Given coordinates represent one vector in x-y plane, let be v.
v = 3i +1j = xi + yj => x = 3 and y = 1
The angle that this vector builds with the positive direction to the x axis will be found using the tangent.
∝ = tan⁻¹ y/x = tan⁻¹ 1/3 = tan⁻¹ 0.333 = 18.43°
∝ = 18.43°
God is with you!!!
Answer:
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Step-by-step explanation:
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Answer:
x+(x+4)=52
Step-by-step explanation:
Let's name the smaller number x.
The greater number would then be (x+4).
<em>The sum of two numbers means we are adding them together.</em>
<u>The equation we could then set up would be:</u>
x+(x+4)=52
<em>Now we can solve the equation to find the two numbers if needed.</em>
<u>Here is how:</u>
x+x+4=52
Combine like terms.
2x+4=52
Subtract 4 from both sides.
2x=48
Divide both sides by 2
x=24
The smaller number is 24.
24+4=28
The larger number is 28.
