Answer:
2/3
Step-by-step explanation:
Answer:
2x² - 8
Step-by-step explanation:
13987.17=p(1+0.032/2)^2*7
Solve for p
P=13,987.17÷((1+0.032÷2)^(14))
P=11,199.99
Ratio = 2 : 3 : 5
Hence, the interior angles of the triangles are 2x, 3x and 5x.
We know, the sum of the interior angles of are triangle is 180°.
2x + 3x + 5x = 180
10x = 180
x = 18
Hence, the angles are 36°, 54°, 90°.
Hence, the measure of the largest interior angle is 90°.
Answer:
39 km/h
Step-by-step explanation:
Velocity is the rate of change of distance in a given direction with time. Mathematically,
Velocity = Displacement/time
Like speed, velocity is measured in Km/h or m/s.
Given that the car travels at 54 km/h for first 20seconds,
since 60 seconds = 1 minute and
60 minutes = 1 h,
20 seconds
= 20/(60 ×60) h
= 1/180 h
In the same vein,
30 seconds
= 30 / (60 ×60) h
= 1/120 h
10 seconds
= 10/(60 ×60) h
= 1/360 h
Hence if the car travels 54 km/h for 10 seconds, the distance covered
= 54 × 1/180
= 3/10 Km
If the car travels 36km/h for next 30seconds, the distance covered
= 36 × 1/120
= 3/10 Km
If the car travels 18km/h for next 10 seconds, the distance covered
= 18 × 1/360
= 1/20 km
Total distance = 3/10 Km + 3/10 Km + 1/20 Km
= 13/20 Km
Total time spent = 20 + 30 + 10
= 60 seconds
= 1/60 h
Average velocity = 13/20 km/ 1/60 h
= 39 Km/h