For every batch of cookies Carla's made , her brother ate 2 cookies. If Carla's brother ate a total of 6 cookies, how many batch
1 answer:
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Answer:
Step-by-step explanation:
we know that
The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
In this problem
The tangent of angle of 5 degrees is equal to the quotient of "rise over run"
Let
y ----> the rise of the ramp
x ----> the run of the ramp
we have
substitute and solve for x
Answer:
Distance between the two planes after 1 hour = 410 miles
Step-by-step explanation:
Given - A plane leaves and flies due north at 280 miles per hour. At
the same time another plane takes off from the same airport
and flies due east at a speed of 300 miles per hour.
To find - What is the distance between the two planes after 1 hour ?
Proof -
Given that , Plane 1 flies due north at a speed of 280 miles per hour.
So,
Total distance traveled in 1 hour = 280 miles
Also,
Plane 2 flies due east at a speed of 300 miles per hour.
So,
Total distance traveled in 1 hour = 300 miles.
The diagram is as follows :
Now,
We have to find the distance after 1 hour i.e. AC
In Triangle ABC ,
By using Pythagoras theorem, we get
AC² = BC² + AB²
⇒AC² = (300)² + (280)²
⇒AC² = 90,000 + 78,400
⇒AC² = 168,400
⇒AC = √168,400
⇒AC = 410.366 ≈ 410
∴ we get
Distance between the two planes after 1 hour = 410 miles
