Answer:
14) 21.136505024965 m
15) 43.076759215619 km
Step-by-step explanation:
14)
let h be the height of the lighthouse:
tan(41.3) = 18.7/h
Then
h = 18.7÷tan(41.5)
= 21.136505024965 m
………………………………………
15)
90-71.4 =18.6
Let s be the distance that the plane flew
towards the south:
tan(90 - 71.4) = s/128
Then
tan(18.6) = s/128
Then
s = tan(18.6)×128
= 43.076759215619 km
The answer is -7. The work is in the picture.
-2. Because on the number line it goes -3 -2 -1 0 1 2 3 so if you count backwards from 2 it is -2
Answer:
0.972222 yards
Step-by-step explanation:
35/36= 0.972222
Multiply the first coefficient (3) and the last term (2) to get 3*2 = 6
We need to find two numbers that
a) multiply to 6
AND
b) add to -5 (middle coefficient)
Such two numbers are -3 and -2
-3 times -2 = 6
-3 plus -2 = -5
So we can break up the -5x into -3x-2x and then factor by grouping
--------------
3x^2-5x+2
3x^2-3x-2x+2
(3x^2-3x)+(-2x+2)
3x(x-1)+(-2x+2)
3x(x-1)-2(x-1)
(3x-2)(x-1)
So the two factors are (3x-2) and (x-1)
The answers are A and C