The Answer Is 60
2.5 x 8 The Number Of Sides On That Shape Was 8
2.5 x 8 = 20
20 times the radius 3
20 x 3 = 60
60cm^2
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Answer:
7.5 miles per hour
Step-by-step explanation:
Average speed over the interval [1, 3] = (distance at 3 hrs -distance at 1 hr)/(3 hrs - 1 hr)
From the graph:
Distance at 3 hrs = 30 => (3, 30)
Distance at 1 hr = 15 => (1, 15)
Average speed = (30 - 15)/(3 - 1)
Average speed = 15/2
= 7.5
Therefore, average speed = 7.5 miles per hour
Answer:
p = 8
Step-by-step explanation:
Subtract 18 from behind the equal sign to cancel it out. This leaves you with 2(p+1)- 18= 0.
Next you'll need to pull out the terms to work with the beginning of the problem. 2(p+1)- 18= 0 would turn into 2p - 16 = 2(p - 8).
This would leave you with 2= 0, but that's not true so continue on to the variable.
So p - 8= 0 making the answer p = 8
Answer:
3x -2y = -5
Step-by-step explanation:
Standard form is ...
ax +by = c
where the leading coefficient (a, or b if a=0) is positive and a, b, c are mutually prime.
Multiplying the equation by 2 gives ...
2y = 3x +5
We can subtract 2y+5 to get standard form:
3x -2y = -5
Answer:
Step-by-step explanation:
Since the cube fits perfectly in the sphere, it means that the diagonal of the cube will form the diameter of the sphere. In a cube, all sides are equal. To determine the length of its diagonal, d, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
d² = 10² + 10² = 200
d = √200 = 14.14cm
Formula for finding the volume of a sphere is expressed as
Volume = 4/3 × π × r³
Radius of sphere = diameter/2 = 14.14/2 = 7.07cm
Volume = 4/3 × π × 7.07³ = 471.19π cm³
