Answer:
4 sqrt(3) = x
Step-by-step explanation:
We have similar triangles
The ratios of the sides have to be in proportion
The large triangle has sides x and hypotenuse 12
The small triangle has side 4 and hypotenuse x
We can write the ratio of sides to hypotenuse
x 4
---- = -------
12 x
Using cross products
12*4 = x^2
48 = x^2
Taking the square root
sqrt(48) = sqrt(x^2)
sqrt(3*16) = x
sqrt(16) sqrt(3) = x
4 sqrt(3) = x
Solution:
1. Set up the long multiplication.
2. Calculate 7 x 8, which is 56.
Since 56 is two-digit, we carry the first digit 5 to the next column.
3. Calculate 6 x 8, which is 48. Now add the carry digit of 5, which is 53.
Since 53 is two-digit, we carry the first digit 5 to the next column.
4. Calculate 5 x 8, which is 40. Now add the carry digit of 5, which is 45.
Since 45 is two-digit, we carry the first digit 4 to the next column.
5. Calculate 4 x 8, which is 32. Now add the carry digit of 4, which is 36.
Since 36 is two-digit, we carry the first digit 3 to the next column.
6. Bring down the carry digit of 3.
7. Calculate 7 x 5, which is 35.
Since 35 is two-digit, we carry the first digit 3 to the next column.
8. Calculate 6 x 5, which is 30. Now add the carry digit of 3, which is 33.
Since 33 is two-digit, we carry the first digit 3 to the next column.
9. Calculate 5 x 5, which is 25. Now add the carry digit of 3, which is 28.
Since 28 is two-digit, we carry the first digit 2 to the next column.
10. Calculate 4 x 5, which is 20. Now add the carry digit of 2, which is 22.
Since 22 is two-digit, we carry the first digit 2 to the next column.
11. Bring down the carry digit of 2.
12. Calculate 7 x 2, which is 14.
Since 14 is two-digit, we carry the first digit 1 to the next column.
13. Calculate 6 x 2, which is 12. Now add the carry digit of 1, which is 13.
Since 13 is two-digit, we carry the first digit 1 to the next column.
14. Calculate 5 x 2, which is 10. Now add the carry digit of 1, which is 11.
Since 11 is two-digit, we carry the first digit 1 to the next column.
15. Calculate 4 x 2, which is 8. Now add the carry digit of 1, which is 9.
16. Calculate 7 x 3, which is 21.
Since 21 is two-digit, we carry the first digit 2 to the next column.
17. Calculate 6 x 3, which is 18. Now add the carry digit of 2, which is 20.
Since 20 is two-digit, we carry the first digit 2 to the next column.
18. Calculate 5 x 3, which is 15. Now add the carry digit of 2, which is 17.
Since 17 is two-digit, we carry the first digit 1 to the next column.
19. Calculate 4 x 3, which is 12. Now add the carry digit of 1, which is 13.
Since 13 is two-digit, we carry the first digit 1 to the next column.
20. Bring down the carry digit of 1.
21. Calculate 36536 + 228350 + 913400 + 13701000, which is 14879286
22. Place the decimal.
45.67 has 2 decimal places, and 32.58 has 2 decimal places.
Therefore, the answer should have 2 + 2 = 4 decimal places.
23. Therefore, 45.67 x 32.58 = 1487.9286.
1487.92861487.9286
Done!
