The <em>correct answer</em> is:
2 pieces, with 1/12 m left over.
Explanation:
To find the number of 1/3 meter pieces she can cut from a 3/4 meter ribbon, we divide:
3/4÷1/3
To divide fractions, flip the second one and multiply:
3/4×3/1
To multiply fractions, multiply straight across:
(3*3)/(4*1) = 9/4
4 will go into 9 two times with 1 left over, so this simplifies to 2 1/4; this means she can cut 2 pieces this length.
2 pieces that are 1/3 meter long is a total of 2(1/3) = 2/3 m. To find out how much is left, subtract:
3/4 - 2/3
Common denominator is 12:
3/4 = 9/12 and 2/3 = 8/12
9/12 - 8/12 = 1/12
There is 1/12 of a meter left.
It should have about 186 or 187
Answer:
inscribed angle
Step-by-step explanation:
That is an inscribed angle in a circle ....
(a) The inverse of 1234 (mod 4321) is x such that 1234*x ≡ 1 (mod 4321). Apply Euclid's algorithm:
4321 = 1234 * 3 + 619
1234 = 619 * 1 + 615
619 = 615 * 1 + 4
615 = 4 * 153 + 3
4 = 3 * 1 + 1
Now write 1 as a linear combination of 4321 and 1234:
1 = 4 - 3
1 = 4 - (615 - 4 * 153) = 4 * 154 - 615
1 = 619 * 154 - 155 * (1234 - 619) = 619 * 309 - 155 * 1234
1 = (4321 - 1234 * 3) * 309 - 155 * 1234 = 4321 * 309 - 1082 * 1234
Reducing this leaves us with
1 ≡ -1082 * 1234 (mod 4321)
and so the inverse is
-1082 ≡ 3239 (mod 4321)
(b) Both 24140 and 40902 are even, so there GCD can't possibly be 1 and there is no inverse.
It takes Andre 1.25 minutes to swim a lap.
Step-by-step explanation:
