(L=17m and W=20m) and (L=40m and W=8.5m) are the possible dimensions (length and width) of the field given that the three sided fence has a length of 57m the area of the land is 340 square meters. This can be obtained by forming quadratic equation for the data.
<h3>Calculate the set of possible dimensions (length and width) of the field:</h3>
Let length be L and width be W.
Given that,
three sided fence has a length of 57m,
⇒ 2W + L = 57 m ⇒ L = 57 - 2W
the area of the land is 340 square meters
length × width = 340 ⇒ L × W = 340
(57 - 2W)W = 340
57W - 2W² = 340
2W² - 57W + 340 = 0
Solve for W using quadratic formula,
a = 2, b = -57, c = 340
W = (-b±√b²-4ac)/2a
= (57±√3249-2720)/4
= (57±√529)/4
= (57±23)/4
W = 20 m and W = 8.5 m
For W=20, L=57-2(20) = 17
For W=8.5, L=57-2(8.5) = 40
Hence (L=17m and W=20m) and (L=40m and W=8.5m) are the possible dimensions (length and width) of the field given that the three sided fence has a length of 57m the area of the land is 340 square meters.
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Answer: 2 more games
Step-by-step explanation:
From the question, we are informed that a baseball team has won 6 game and lost 4 game.
We are further told that the team dosent lose anymore games and want to know the number of games they must win to have a ratio of 2:1.
Since they have lost 4 games and need a ratio of 2:1. This means we have to multiply the game lost by 2. This will be: = 4 × 2 = 8 games.
Since they've won 6 games already, they'll need to win = 8 - 6 = 2 games more.
Enlarging the radius of the ice cream cone will result in a volume that is larger by twice the amount of the scale on the radius. For instance, doubling the radius will make the volume 4 times larger.
Enlarging the height of the ice cream cone will result in a volume that is larger by the same amount as the scale on the height. For instance, doubling the height will make the volume 2 times larger.
Going from these answers, the price will change in the same manner as the volume changes. A doubled volume would be a doubled price; a volume 4 times as large will result in a price 4 times as much.
The volume of a cone is given by the formula
V=(1/3)πr²h
If we double the radius, we then have
V=(1/3)π(2r)²h = (1/3)π(4r²)h = 4(1/3)πr²h.
Doubling the height instead will give us:
V=(1/3)πr²(2h) = 2(1/3)πr²h
Answer:
2758 Nm
Step-by-step explanation
Work done usually depends on two things force applied and distance travelled due to applied force. In this current scenario, the force is being applied at an angle so we will have to find a component of force in the direction of the movement.
We usually find component using cos θ.
Here θ is 40°
Now, the modified equation becomes,
Work Done = Force * Distance * Component of force along the direction of distance
∴ Work = 30 N * 120 m * Cos 40°
⇒Work = 30 * 120 * 0.766
⇒Work = 2757.6 Nm
Rounding to the nearest whole number.
∴ The work done by force is 2758 Nm which is option B
Step-by-step explanation:
Given
No. of employees 
(a)When the company opens i.e. at t=0
There are 10 employees at the beginning
(b)when N=100
Taking log both sides
again taking log
(c)when t tends to 
, 
So, 
i.e. there can be 500 employees at max
