Evaluate C(44,21) use scientific notation, round to 3 decimal places as needed.
1 answer:
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Answer:
Andrew walks more steps than Sarah.
Step-by-step explanation:
The question is incomplete. The complete question is :
Andrew and Sarah are tracking the number of steps they walk. Andrew records that he can walk 6000 steps in 50 minutes. Sarah writes the equation y=118x, where y is the number of steps and x is the number of minutes she walks, to describe her step rate. This week, Andrew and Sarah each walk for a total of 5 hours. Who walks more steps?
Solution:
Given:
Andrew walks 6000 steps in 50 minutes.
Number of steps Sarah walks is given by the equation :
where is the number of steps and
is the number of minutes she walks.
Finding the number of steps each walks in 5 hours.
Total number of minutes in 5 hours =
For Andrew:
Using unitary method:
If in 50 minutes Andrew walks = 6000 steps.
In 1 minute he will walk = = 120 steps
In 300 minutes he will walk = steps
Thus, Andrew will walk 36,000 steps in 5 hours.
For Sarah:
We will plugin in the equation and solve for
.
We have:
∴
Thus, Sarah will walk 35,400 steps in 5 hours.
Therefore, Andrew walks more steps than Sarah as .
Answer:
x = 10, y = 10
Step-by-step explanation:
Using the sine/ cosine ratios in the right triangle and the exact values
sin60° = , cos60° =
, then
sin60° = =
=
( cross- multiply )
2x = 20 ( divide both sides by 2 )
x = 10
and
cos60° = =
=
( cross- multiply )
2y = 20 ( divide both sides by 2 )
y = 10