T=4(r-1.5)
4(3.59-1.5)=t= 8.36 dolla
Enjoy.
Answer: height of TV = 21"
Width of TV = 36.372"
Step-by-step explanation:
The TV is rectangular and the diagonal divides the rectangle into 2 equal right angle triangles. The diagonal represents the hypotenuse of the right angle triangle. If the diagonal forms a 30 degree angle with the base of the TV, then the height of the TV represents the opposite side of the right angle triangle and the width of the TV represents the adjacent side of the right angle triangle.
To determine the height, h of the TV, we would apply the Sine trigonometric ratio.
Sin θ = opposite side/hypotenuse. Therefore,
Sin 30 = h/42
h = 42Sin30 = = 42 × 0.5
h = 21"
To determine the width, w of the TV, we would apply the
the cosine trigonometric ratio.
Cos θ, = adjacent side/hypotenuse. Therefore,
Cos 30 = w/42
w = 42Cos30 = 42 × 0.866
w = 36.372"
Answer:
The answer is

if I am not wrong
Step-by-step explanation:
First you need to convert 45 degress to radians,then you use the arc length formula which is = thr radius * the angle to get the answer
xy = 30
x - y = 1
x + y = 11
First, we need to consider factors of 30:
1, 2, 3, 5, 6, 10, 15, 30
Which two of these, subtracted, would equal 1?
5 and 6
6 x 5 = 30
6 - 5 = 1
6 + 5 = 11
Answer:
The length of the shorter part of the wire is 24 centimeters.
Step-by-step explanation:
Let
the total length of the piece of wire, where
and
are the perimeters of the greater and lesser squares. All lengths are measured in centimeters. Since squares have four sides of equal length, the side lengths for the greater and lesser squares are
and
. From statement we find that the sum of the areas of the two squares (
), measured in square centimeters, is represented by the following expression:
(1)
And we expand this polynomial below:


(2)
If we know that
and
, then the length of the shorter part of the wire is:
By the Quadratic Formula, we determine the roots associated with the polynomial:
,
The length of the shorter part of the wire corresponds to the second root. Hence, the length of the shorter part of the wire is 24 centimeters.