Answer:
4) -3
Step-by-step explanation:
Answer:
For the return, i guess that you say in the interval between 15:40 and 15:45, that is the moment where he goes back to his home, and pass through the local shop.
Ok, in the graph we can see pairs (time, position)
The average speed can be obtained with two of these pairs, and the average speed is:
As = (position2 - position1)/(time2 - time1)
In this particular case, we have the pairs:
(15:40, 900m) and (15:45, 400m)
(i guess that the distance is in meters)
Then the average speed is:
As = (900m - 400m)/(15:45 - 15:40)
and 15:45 - 15:40 = 0.5 minutes.
As= 500m/5 min = 100 m/min
This means that the average speed in this return is 100 meters per minute
The equation 9cos(sin¯¹(x)) = √(81 – 81x²) is true since L.H.S = R.H.S
To answer the question, we need to know what an equation is
<h3>What is an equation?</h3>
An equation is a mathematical expression that show the relationship between two variables.
Given 9cos(sin¯¹(x)) = √(81 – 81x²), we need to show L.H.S = R.H.S
So, L.H.S = 9cos(sin¯¹(x))
= 9[√{1 - sin²(sin¯¹(x)}] (Since sin²y + cos²y = 1 ⇒ cosy = √[1 - sin²y])
9[√{1 - sin²(sin¯¹(x)}] = √9² × √{1 - sin²(sin¯¹(x)}]
= √[9² × {1 - sin²(sin¯¹(x)}]
= √[81 × {1 - sin²(sin¯¹(x)}]
= √[81 × {1 - x²}] (since sin²(sin¯¹(x) = [sin(sin¯¹(x)]² = x²)
= √(81 – 81x²)
= R.H.S
So, the equation 9cos(sin¯¹(x)) = √(81 – 81x²) is true since L.H.S = R.H.S
Learn more about equations here:
brainly.com/question/2888445
#SPJ1
Answer:
33.3%
Step-by-step explanation:
Let's say the percent change is x%. Then the equation is:
30 + x% * 30 = 40
Subtract 30 from both sides:
x% * 30 = 10
Divide by 30:
x% = 10/30 = 1/3
Remember that % simply means "out of 100", so:
x/100 = 1/3
Multiply both sides by 100:
x = (1/3) * 100 = 33.3%
Answer:
9.94 rounded up
Step-by-step explanation:
1 ft = 12 inches....so 49.68 ft = (49.68)(12) = 596.16 in
1 hr = 60 minutes
596.16/60 = 9.936 inches per minute
