9514 1404 393
Answer:
1) 240
2) 211
Step-by-step explanation:
The counting sequence in base 5 is similar to that in base 10, except the digits 5 through 9 are not used. The first few counting numbers are ...
1, 2, 3, 4, 10, 11, 12, 13, 14, 20, 21, 22, ...
When 1 is added to 4 in the units place, a carry to the fives place is generated and the units digit is returned to zero.
234₅ +1 = 240₅
210₅ +1 = 211₅
If you're trying to find the measurement of angle s then it'd be 2x degrees, since it's twice that of angle y, which is x degrees.
Answer:
D
Step-by-step explanation:
Translating a shape is basically moving it across the grid. By translating 2 units left and 1 unit up, you'll be moving point C 2 squares to the left, giving you (0, -5). And by translating 1 unit (or square) upwards, will give you the coordinates of (0, -4).
We need to find the base x in the following equation:

First, lets convert 365 from base 7 to base 10. This is given by

where the upperindex denotes the position of eah number. This gives

that is, 365 based 7 is equal to 194 bases 10.
Now, lets do the same for 43 based x. Lets convert 43 based x to base 10:

where again, the superindex 0 and 1 denote the position 0 and 1 in the number 43. This gives

Now, we have all number in base 10. Then, our first equation can be written in base 10 as

For simplicity, we can omit the 10 and get

so, we can solve this equation for x. By combining similar terms. we have

and by moving 197 to the right hand side, we obtain

Finally, we get

Therefore, the solution is x=5
Answer:
461.875 cubic cm
Step-by-step explanation:
Volume of wood in the block
= volume of cuboid - 3 times the volume of one hemisphere
