Let the area of the original rectangle be A₁.
A₁ = (12 ft)(8 feet) = 96 ft²
To determine the area of the reduced triangle, let's compute the new dimensions first.
Length = 12 ft * 3/4 - 9 ft
Width = 8 ft *3/4 = 6 ft
Thus, the area of the new rectangle denoted as A₂ is
A₂ = (9 ft)(6 ft) = 54 ft
The ratio of the areas are:
A₂/A₁ = 54/96 = 9/16
The ratio of the sides are given to be 3/4.
Finally the ratios of the area to side would be:
Ratio = 9/16 ÷ 3/4 = 3/4
Therefore, the ratio of the areas is 3/4 of the ratio of the corresponding sides.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Given:


P-value=
thus, the surgical-medical patients and Medicare are dependent.
The measure of the angle B is 30 degree after applying the sin law of triangle.
<h3>What is the triangle?</h3>
The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have a triangle shown in the picture:
We can apply the sin law of the triangle to find the angle B

SinB = 0.499
B = 29.99 ≈ 30 degree
Thus, the measure of the angle B is 30 degree after applying the sin law of triangle.
Learn more about the triangle here:
brainly.com/question/25813512
#SPJ1
Answer:
12.1
Step-by-step explanation:
y=a(1/2)^t/h
270=410(1/2)^t/20
Divide both sides by 410
0.6585365854 = (1/2)^t/20
Log Both sides
Log(0.6585365854) / Log(1/2)
.6026645024= t/20
20 x .6026645024 = t
12.05329005 to the nearest tenth is 12.1 = t