1 mile = 5,280 feet.
Convert the 0.25 mile to feet:
0.25 miles = 0.25 x 5,280 = 1,320 feet.
Add the soda shop distance to this:
1,320 + 900 = 2,220 feet.
Total distance is 3 miles and 2,220 feet
Answer:
Yes, d = 7, 32, 39, 46
Step-by-step explanation:
You can see each time it goes up by 7, meaning it is arithmetic.
The sequence would be: 4, 11, 18, 25, 32, 39, 46
Step-by-step explanation:
Start by writing 492,623 in standard form
4 hundred thousands + 9 ten thousands + 2 thousands + 6 hundreds + 2 tens + 3 ones
We can write this in other ways by moving a digit to the next smaller place value. For example, we move the 4 one place to the right to get 49 ten thousands:
49 ten thousands + 2 thousands + 6 hundreds + 2 tens + 3 ones
Then, we can move the 49 ten thousands to the right to get 492 thousands, and we can move 6 hundreds to the right to get 62 tens.
492 thousands + 62 tens + 3 ones
Or, we can do this:
4926 hundreds + 23 ones
Answer:
21.6 in
Step-by-step explanation:
since it's a right triangle, use the pythagorean theorem (a^2 + b^2 = c^2)
12^2 + 18^2 = c^2
144 + 324 = c^2
468 = c^2
c = square root of 468
c = 21.6333 (...) in
since you have to round it up to the nearest tenth, then the answer should be 21.6 in
Answer:
r : s is √3 : 2
Step-by-step explanation:
The given parameter are;
A cube is inscribed in a sphere
The side length of the cube = s
The radius of the sphere = r
The ratio r : e = Required
It is noted that for a cube inscribed in a sphere, we have;
The diameter of the sphere = The diagonal of the cube
The diameter of the sphere, D = 2 × The radius = 2·r
The square of the diagonal of the cube, d² = s² + s² + s² = 3·s²
∴ The diagonal of the cube, d = (√3)·s
From the relationship between the cube and the sphere in which it is inscribed, (The diameter of the sphere = The diagonal of the cube), we have;
2·r = (√3)·s
∴ r/s = (√3)/2
r : s = √3 : 2.
