Answer:
9.3 × 10⁷ - 3.4 × 10⁶ = 89 600 000
Which is 8.96*10^7 in scientific notation
Hope this helps you
Brand A: 32 Diapers, $8.99: about 28 cents per diaper
Brand B: 50 Diapers, $12.49: about 24 cents per diaper
You divide the amount of diapers by the money.
For example, 32 diapers/$8.99 equals about 28 cents per diaper and 50 diapers/$12.49 equals about 24 cents per diaper.
Brand B is the better deal since you save about 4 cents more.
2. 2k + g
3. 4m + 8
5. 10j - 4
6. 12y + x
Let the height of the building be x. Let the initial distance of the ant from the building be y, then
tan 32 = x/y
y = x/tan 32 . . . . . . . . (1)
tan 22 = x/(y + 66)
y tan 22 + 66 tan 22 = x
y = (x - 66 tan 22)/tan 22 . . . . . . . . (2)
Equating (1) and (2), we have
x/tan 32 = (x - 66 tan 22)/tan 22
x tan 22 = x tan 32 - 66 tan 22 (tan 32)
x(tan 32 - tan 22) = 66 tan 22 (tan 32)
x = (66 tan 22 (tan 32))/(tan 32 - tan 22) = 66(0.4040)(0.6249)/(0.6249 - 0.4040) = 16.6626/0.2208 = 75.4
Therefore, the height of the building is 75.4 feet.
