Ade cycled for 2 hours at an average speed of 15 km/h. Kali travelled the same route as Ade but it took her 2 hour 15 minutes. What is Kali's average speed to 1 dp?

14.0 km/h

Step-by-step explanation:

First find the distance that both Ade and Kali travelled. Use the time and speed of Ade to find this out:

Distance = Speed * Time

= 15 * 2

= 30 km

Kali took 2 hours 15 minutes to travel 30km. Her speed is therefore:

= Distance / Time

Convert the time to decimal:

Mixed fraction = 2¹⁵/₆₀

= 2¹/₄

Decimal = 2.15 hours

Average speed = 30 / 2.15

= 13.95

= 14.0 km/h

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²