Answer:
Step-by-step explanation:
The long division for 3/8 results in getting 0.375, so 45 3/8 is 45.375.
From here, the only thing you can really do is divide it by 10 to get
4.5375 and since you can't divide further, the answer would be
4.5375 * 10^1
The answer is 10110
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Explanation:
Divide 22 over 2. Use long division to find the quotient and remainder
22/2 = 11 remainder 0 <<--- this remainder will be used later. Call it A, so A = 0
Now repeat for the value 11, which was the quotient above
11/2 = 5 remainder 1 <<--- this remainder will be used later. Call it B, so B = 1
Repeat again for the quotient we just got
5/2 = 2 remainder 1 <<--- this remainder will be used later. Call it C, so C = 1
Repeat again
2/2 = 1 remainder 0 <<--- this remainder will be used later. Call it D, so D = 0
Repeat again
1/2 = 0 remainder 1 <<--- this remainder will be used later. Call it E, so E = 1
The last quotient above is 0, so we stop here. If we tried to keep going, then we'd get nothing but 0 remainders forever.
The remainders we got above were:
A = 0
B = 1
C = 1
D = 0
E = 1
The idea is to read the remainders in reverse order in which we found. So we start with E and work back to A
E = 1
D = 0
C = 1
B = 1
A = 0
So 22 base 10 = 10110 base 2
Answer:
41/25
Step-by-step explanation:
Answer:
540 ft cubed
Step-by-step explanation:
Length • width • height
4.5 • 12 • 10
540
Volume of the cone = 1/3 pi * 3^2 * 4 = 12pi
Volume of the hemisphere = 4/3 pi 3^3 * 1/2 = 18pi
So the volume of the toy = 12pi + 18pi = 30pi = 94.25 cm^3 to nearest hundredth Answer
Surface area of hemisphere = 1/2 * 4 pi 3^2 = 18pi
Lateral Surface area of the cone = pi r l where l = slant height of the cone
Now l= sqrt ( 4^2 + 3^2) = sqrt25 = 5
So lateral S A = 3 * 5 * pi = 15pi
Surface area of the toy = 18pi + 15pi = 33pi = 103.67 cm^2 ( nearest hundredth) Answer