The first step to do is to calculate first the total
household waste generate for the two years. That is:
total waste generated = 23,400,000 tons + 48,100,000 tons
total waste generated = 71,500,000 tons
Now, to write either a very big number or a very small number
in a form of scientific notation simply means to write it in a decimal form
such as: 12.5 * 10^10
Now to write 71,500,000 in scientific notation, the decimal
form is 7.15, however we still need to find out the * 10^n factor. The value of
n depends on the number of places the decimal point was moved. If the movement
was from right to left, the value of n is positive and if the movement was from
right to left, the value of n is negative. Since the decimal point was moved by
7 places, hence the complete scientific notation is:
7.15 * 10^7 tons
100 + 8d = 300; d = 25; The kitten will triple its weight in 25 days
1. To solve for x, you can see that nearby C and D, the two angles are equal. We can ,therefore, make an equation and solve it:
5x - 29 = 3x + 19
- 3x
2x - 29 = 19
+ 29
2x = 48
÷ 2
x = 24
2. So for this part you would substitute the value of x and then minus that angle from 180:
3 × 24 = 72
72 + 7 = 79°
180 - 79 = 101° = ∠1
3. 180 = 101 = 79° = ∠2
4. 180 - 79 = 101° = ∠3
5. Angle 4 is equal to angle 3 because there is an alternate angle (z angle) so 101° = ∠4
6. 180 - 101 = 79° = ∠5
7. 180 - 101 = 79° = ∠6
8. To find angle 7, you have to substitute in x again, so:
5 × 24 = 120
120 - 29 = 91
180 - 91 = 89° = ∠7
9. Angle 8 is the same as angle 7 because they are opposite angles, so 89° = ∠8
10. Angles 2 and 3 are supplementary, which means they add up to 180°.
I hope this helps! :)
