Question

Q1. Given that y is inversely proportional to the cube root of x, and that y = c2 when x = 8 and
y=C-31 when x = 27, find the values of c.

Q2. If y is inversely proportional to x?, how is y affected when
(a) x is doubled?
(b) x is decreased by 75%​

Answer 1

Step-by-step explanation:

Breadth of rectangle is 18 m.

Area of rectangle is 360 m².

Step-by-step explanation:

Given:-

Perimeter of rectangle is 76 m.

Length of rectangle is 20 m.

To find:-

Breadth of rectangle.

Area of rectangle.

Solution:-

Let, Breadth of rectangle be x.

Perimeter of rectangle = 2(l + b)

So,

Put the values in formula:

\longrightarrow⟶ 76 = 2×(20 + x)

\longrightarrow⟶ 76 = 40 + 2x

\longrightarrow⟶ 76 - 40 = 2x

\longrightarrow⟶ 36 = 2x

\longrightarrow⟶ 36/2 = x

\longrightarrow⟶ x = 18

Verification:-

\longrightarrow⟶ 76 = 2×(20 + x)

Put x = 18

\longrightarrow⟶ 76 = 2×(20 + 18)

\longrightarrow⟶ 76 = 40 + 36

\longrightarrow⟶ 76 = 76

\boxed{\sf Hence \: Verified.}

HenceVerified.

We have taken,

Breadth be x

So,

Breadth of rectangle is 18 m.

Now,

We know,

Area of rectangle = Length × Breadth

\longrightarrow⟶ 20 × 18

\longrightarrow⟶ 360

Therefore,

Area of rectangle is 360 m².