The graph below shows a proportional relationship between yyy and xxx.
2 answers:
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Answer:
Length of the ladder used by worker = 17 feet
Step-by-step explanation:
Given:
Height of the window from the ground = 13 ft
Distance of fence from the building = 3 ft
Distance of ladder from the building = (3+8) = 11 ft
We have to find the length of the ladder.
Let the length of the ladder be 'x'
From the diagram we can also say that 'x' is the hypotenuse of the right angled triangle.
Using Pythagoras formula:
⇒
Here base length = 11 ft
Perpendicular = 13 ft
Plugging the values:
⇒
⇒
⇒
⇒ feet
The length of the ladder = 17 feet to its nearest tenth.
Let's call n the number of days Marika's been training for the race, and the distance she runs on the nth day in meters. After the first day, when n = 1, she runs 100 meters, so
On the second day, she runs an additional 4 meters, on the third day, another 4, and so on. Here's what that looks like mathematically:
It would be easier to write this continued addition as multiplication, in which case those same equations would look like
Notice that, in every case, the number 4 is being multiplied by is 1 less than n. We could even write for our first term that . In general, we can say that
Which is expressed by option B.
(Bonus: What piece of information from this question did we not need to use here?)