Answer: 333.2ft
Step-by-step explanation:
We can draw a triangle rectangle, where the distance between the base of the building and the car is one cathetus (300ft)
The height of the building is the other cathetus.
Now, we know that the angle of depression from the top of the building to the car is 42°
This angle is measured from a perpendicular line in from the building, so the "top angle" of the triangle rectangle will be:
90° - 42° = 48°
if we steep on this angle, the 300ft cathetus is the opposite cathetus and the height of the building is the adjacent cathetus.
Here we can use the relation:
Tan(A) = Opposite cathetus/adjacent cathetus:
Then:
Tan(48°) = H/300ft
Tan(48°)*300ft = H = 333.2ft
when multiplying two binomials together we use the F.O.I.L. method:
First
Outer
Inner
Last
(7-3i)(2-i)
First: 7 * 2 ..... Outter: 7 * -i .... Inner: -3i * 2 ...... Last: -3i * -i
First: 14 ...... Outter= -7i ..... Inner: -6i .... Last: 3i^2
putting this together we get 14-7i-6i+2i^2
We combine like terms and end up with 2i^2-13i+14
Answer:
2. False
3. False
Step-by-step explanation:
Solving inequalities requires the same steps as solving equations except for one exception. When you multiply or divide by a negative during the solving process, you must flip the sign to maintain the relationship. This occurs when the variable x has a negative coefficient. Neither 2 nor 3 has this case. Neither needs the sign flipped. Both are false.
Answer:
392 minutes
Step-by-step explanation:
She reads 6/7 of a page in 12/5 mins
She will read 1 page in (12/5)* (7/6) mins
She will read 140 pages in (12/5)*(7/6)*140 mins = 392 mins
