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agasfer [191]
2 years ago
8

Helppppppp pleaseeeeee

Mathematics
1 answer:
Dahasolnce [82]2 years ago
4 0

Step-by-step explanation:

The area, A, in square yards, of a rectangular garden, is given by the function.

A(x)=-2x^2+30x

We know that, the area of the rectangle is given by :

A=l\times b

Where l is length and b is breadth

A=-2x^2+30x\\\\A=2x\times (-x+15)

Length = 2x

Breadth = (15-x)

For zeoes,

2x\times (-x+15)=0\\\\x=15

Length = 15 yards

Breadth = (15-15) = 0 yards

Hence, this is the required solution.

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A wire 48 m long carries a current of 18 A from west to east.
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Step-by-step explanation:

Given that,

The length of a wire, L = 48 m

Current in the wire, I = 18 A (west to east)

The magnetic field in the wire, B = 8.3\times 10^4\ T (towards south)

The magnetic force acting on the wire is given by :

F=I(L\times B)\\\\F=48\cdot18\cdot8.3\cdot10^{-4}\ N\\\\F=0.71\ N

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2 years ago
A Ferris wheel has a radius of 10 m, and the bottom of the wheel passes 1 m above the ground. If the Ferris wheel makes one comp
Morgarella [4.7K]

Answer:

y = 11 - 10cos(0.1\pi t)

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Suppose at t = 0 the person is 1m above the ground and going up

Knowing that the wheel completes 1 revolution every 20s and 1 revolution = 2π rad in angle, we can calculate the angular speed

2π / 20 = 0.1π rad/s

The height above ground would be the sum of the vertical distance from the ground to the bottom of the wheel and the vertical distance from the bottom of the wheel to the person, which is the wheel radius subtracted by the vertical distance of the person to the center of the wheel.

y = h_g + d_b = h_g + R - d_c (1)

where h_g = 1 is vertical distance from the ground to the bottom of the wheel, d_b is the vertical distance from the bottom of the wheel to the person, R = 10 is the wheel radius, d_c is the vertical distance of the person to the center of the wheel.

So solve for d_c in term of t, we just need to find the cosine of angle θ it has swept after time t and multiply it with R

d_c = Rcos(\theta(t)) = Rcos(\omega t) = 10cos(0.1\pi t)

Note that d_c is negative when angle θ gets between π/2 (90 degrees) and 3π/2 (270 degrees) but that is expected since it would mean adding the vertical distance to the wheel radius.

Therefore, if we plug this into equation (1) then

y = h_g + R - d_c = 1 + 10 - 10cos(0.1\pi t) = 11 - 10cos(0.1\pi t)

7 0
3 years ago
Which line is parallel to the line ‘y = 1/2x + 5’ and passes through the
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Answer:

B. y=1/2+2

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since parallel lines always have the same slope, the only two possible answers could be B and C. in order to find if one of those goes through point (-2,1), we have to set up an equation to find the base:

1=1/2(-2)+b

1=-1+b

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We can plug in the base with the slope for the equation and the new equation would be y=1/2x+2

4 0
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