-3+11p
first you add 1+2p that gets you -3 then you do 9p-4 and you get 11p from there you can either solve it, or leave it as is, depending on what your teacher wants.
Answer:
-14 - 12i
Step-by-step explanation:
Apply complex arithmetic rule: (ai)(b + ci) = -ac + abi
a = 2, b = 6, c = -7
-( -2(-7) + 2*6i )
-( 14 + 12i)
-14 - 12i
Answer:
10 weeks
Step-by-step explanation:
205+2t=195+3t
-2t -2t
205=195+t
-195 -195
10=t
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.
The value of the digit is 2 because the value of the 3 is 30 (tens) and if you go one place down you are in the ones