Answer:
179 mph
Step-by-step explanation:
Given: Average speed to cover 19 lap is 159 mph
Now, finding the speed of driver in 20th lap to attain 160 mph as an average speed.
Average Speed =
Considering x as speed in 20th lap.
⇒ 160 =
⇒ 160 =
Now, multiplying both side by 20.
⇒ 160 =
⇒ 3200 =
∴ x = 179 mph
179 mph should be the speed of driver in his 20th lap to attain an average speed of 160 mph.
Answer:
Step-by-step explanation:
Each year, the plant earns an additional 5 percent per man-hour. This means that the increase in earnings is exponential. We would apply the formula for exponential growth which is expressed as
A = P(1 + r)^t
Where
A represents the amount earned after t years.
t represents the number of years.
P represents the initial amount earned.
r represents rate of growth.
From the information given,
P = $800
r = 5% = 5/100 = 0.05
Therefore, the function that gives the amount after t years is
A = 800(1 + 0.05)^t
A = 800(1.05)^t
Answer:
The correct answer is;
ΔANT ≅ ΔFLE by the SIde-Side-Side (SSS) rule of congruency
Step-by-step explanation:
The given information are;
Segment TN is congruent ts segment EL
Segment TA is congruent ts segment EF
Segment AN is congruent ts segment FL
Therefore, triangle ΔANT is congruent to ΔFLE by the Side-Side-Side (SSS) rule of congruency
One of the rule used to serve as proof that two or more triangles are congruent, is the Side-Side-Side (SSS) rule of congruency. The Side-Side-Side rule of congruency states that if the dimensions of the three sides of one triangle are equal to the dimensions of the three sides of another triangle, the two triangles are congruent.
Therefore, the correct option is ΔANT ≅ ΔFLE by the Side-Side-Side (SSS) rule of congruency
I believe it’s the second table, (5, 25), (7, 49), (9, 81).
Answer:
Approximately 4.58 minutes.
Step-by-step explanation:
The diameter of hose is in centimeters, that is 2.9 cm.
Velocity is in m/s that can be converted into cm/s.
Let the velocity be 'v'.
v = 3.3 m/s= 330 cm/s
The amount of water following through the cross sectional area of the hose is.
diameter = 2.9 cm
The cross sectional are of the hose is approximately . To volume of water that flows through the hose each second, multiply its velocity by the cross sectional area of the hose.
Volume/ second =
This is approximately . There are in one liter.
Total volume
To determine the time in seconds, divide the total volume by the volume per second.
t =
This is roughly 275 seconds.
We can convert 275 seconds into minutes.
t (mins) = minutes.
So it will take 4.58 minutes to fill the wading pool.