(–23) – 45 – (–98) =–23 – 45 +98=-68+98=30
Answer:
the equality shown is : x is greater than or equal to -3.
Answer:
1.) 471.24
2.) 1231.5
3.) 113.1
Step-by-step explanation: A = pi x r^2 + pi x r x ^2
1.) a = 3.14 x (5)^2 + 3.14 x 5 x ^2
a = 3.14 x 25 + 3.14 x 5 x 25
a = 78.54 + 392.70
a ≈ 471.24
2.) A = 3.14 (7)^2 + 3.14 x (7) x ^2
a = 3.14 x 49 + 3.14 x 7 x 49
a = 153.93 + 1077.57
a ≈ 1231.5
3.) a = 3.14 (3)^2 + 3.14 x 3 x ^2
a = 3.14 x 9 + 3.14 x 3 x 9
a = 28.27 + 84.82
a ≈ 113.1
Angle aed has to be 80 since the two triangles share two of the same angles
Answer:
x = 5m/s
Step-by-step explanation:
Distance flying out = 12 km (headwind)
Distance flying back = 12 km (tailwind)
total distance = 12 + 12 =24 km
wind speed = 1km/h
speed going out (with headwind) = (x - 1) km/h
speed coming back (with tailwind) = (x + 1) km/h
Time taken to go out = distance going out / speed going out
= 12 / (x-1)
Time taken to come back = distance coming back / speed coming back
= 12 / (x+1)
total time = time taken to go out + time taken to come back
5 =[ 12/(x-1) ] + [ 12/(x-1)]
expanding this, we will get
5x² - 24x - 5 = 0
solving quadratic equation, we will get
x = -1/5 (impossible because speed cannot be negative)
or
x = 5 (answer)
