B) Whole number
C) Rational number
D) 0
Answer: C) Rational number
Step-by-step explanation:
Volume of the region inside the cube but outside the sphere is 102.903 inches³.
Volume of a three dimensional shape is the space occupied by the shape.
Given a cube.
Volume of a cube = a³
Here a is the side length of a cube.
Here side length of the cube = 6 inches
Volume of the cube = 6³ = 216 inches³
Volume of a sphere = π r³
Here diameter of the sphere = 6 inches
Radius of the sphere = 6/2 = 3 inches
Volume of sphere = π (3)³
= 113.097 inches³
Volume of the region inside the cube but outside the sphere is,
Volume of cube - Volume of sphere
216 inches³ - 113.097 inches³
102.903 inches³
Hence the volume of the region inside the cube but outside the sphere is, 102.903 inches³.
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The pitch or slope of a roof is defined as the ration of rise and half of the span. In equation we can write:
Half-Span equals the run. So we can define the Pitch as:
Rise = 8 feet
Run = Half of span = 15 feet
Using the values in the above formula, we get:
Therefore, the pitch (or slope) of the roof in simplest form is 8/15
Pitch is normally defined as the vertical rise of a roof for ever 12 feet increase in its horizontal run. The above fraction shows the vertical rise is 8/15 for each 1 feet increase in the horizontal run. So if we simply multiply the the above fraction by 12, we will get the pitch in standard units.
So,
Pitch = 8/15 x 12 = 6.4
Therefore, the pitch of the roof will be 6.4
Answer with Step-by-step explanation:
For the Pythagorean triples, the square of largest number must be equal to the sum of squares of remaining two numbers.
1,2,5
5²=25
1²+2²=5
25≠5
Hence, it is not a Pythagorean triple.
6,8,14
14²=196
6²+8²=100
100≠196
Hence, it is not a Pythagorean triple.
8,15,17
17²=289
8²+15²=289
Hence, it is a Pythagorean triple
10,24,26
26²=676
10²+24²=676
Hence, it is Pythagorean triple
15,20,30
30²=900
15²+20²=625
900≠625
Hence, it is not a Pythagorean triple
28,45,53
53²=2809
28²+45²=2809
Hence, it is a Pythagorean triple
8,15,17 is one, 10,24,26 is one, and 28,45,53 is one
Answer:
Step-by-step explanation:
Answer:
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