Answer:
the crazy part is that 69 points with the bike
Step-by-step explanation:
Answer:
180
Step-by-step explanation:
75% times 240 would be 180
Unit rates is the rate of a quantity in comparison to 1 i.e. unit.
Based on the given parameters, Shanya is the fastest typist
From the question, the unit rates are given as:
- James: 0.5 words per second
- Shanya = 3 words per seconds
The unit rates of Tristan and Ebony are not given.
So, we compare the rates of James and Shanya
3 words in a second is greater than 0.5 words in a second.
Hence, Shanya is the fastest typist
Read more about unit rates at:
brainly.com/question/11848573
Answer:
The answer to your question is 450 km
Step-by-step explanation:
Data
First stage Second stage
speed 1 = 40 km/h speed 2 = 65 km/h
time 1 = 8 h time 2 = 2 h
Process
1.- Write the formula to calculate the speed
speed = distance / time
-Solve for distance
distance = speed x time
2.- Calculate the distance of the first stage
distance 1 = 40 x 8
distance 1 = 320 km
3.- Calculate the distance of the second stage
distance 2 = 65 x 2
distance 2 = 130 km
4.- Calculate the total distance
Total distance = 320 + 130
= 450 km
See the picture attached to better understand the problem
we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²----> equation 1
applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2
substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2
the answer isthe hypotenuse is (3√2)/2