To save costs dylan decides to decrese the size of the house she is building . Orginally the plans for the house show the dimensions of the house pad to be 20 ft by 30 ft . She reduces each dimension by 10 percent

Step-by-step explanation:

Given

Dimension = 20 by 30

Reduction = 10%

Required

Determine the new dimensions

Because it is a reduction, the new dimension is calculated using:

The new length is calculated as:

Convert percentage to decimal

The new width is calculated as:

Convert percentage to decimal

For the given triangle, the opposite side measures 7 (sin 50°) m.

Step-by-step explanation:

Step 1:

In the triangle, the angle is 50°, assume the opposite side has a length of x units while the hypotenuse of the triangle measures 7m. The adjacent side of the triangle is not given.

To determine the value of x, we determine the value of the sin of the given triangle.

To calculate the sin of an angle we divide the opposite side by the hypotenuse of the same triangle.

Step 2:

The length of the opposite side = x m.

The length of the hypotenuse = 7 m.

So the opposite side of the triangle measures 7 (sin 50°) m.