Based on the calculations, the dimensions of the rectangle are
- Length, L = 156 meters.
- Width, w = 65 meters.
<h3>What is a diagonal?</h3>
The diagonal of a rectangle can be defined as a line segment that connects any two (2) of its non-adjacent vertices together while dividing the rectangle into two (2) equal parts.
Mathematically, the length of diagonals of a rectangle can be calculated by using this formula:
d = √(l² + w²)
Where:
- d is the diagonal of a rectangle.
- l is the length of a rectangle.
- w is the width of a rectangle.
Since the ratio of the length to the width is 12:5, we have:
Width, w = 5l/12
Substituting the given parameters into the formula, we have;
169 = √(l² + (5l/12)²)
169² = l² + (5l/12)²
169² = l² + (25l²/144)
Length, L = 156 meters.
For the width, we have:
Width, w = 5l/12
Width, w = 5(156)/12
Width, w = 65 meters.
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1.50 for beads x 5 necklaces = 7.50
Total.
18.50 -7.50 = 11.00
11.00 / 5 = $2.20 for was pendant
Answer:
25%
Step-by-step explanation:
Given data
Last years shipment= 37220 lamps
These years shipment= 29776 lamps
% Decrease= Initial-Final/Initial*100
% Decrease= 37220-29776/29776*100
% Decrease= 7444/29776*100
% Decrease= 0.25*100
% Decrease= 25%
Hence the decrease is 25%
Answer:
Step-by-step explanation:
From the given right angle triangle,
The hypotenuse of the right angle triangle is x
With m∠54 as the reference angle,
The unknown is the adjacent side of the right angle triangle.
The opposite side of the right angle triangle is 19
To determine x, we would apply the Sine trigonometric ratio.
Sine θ = opposite side/hypotenuse. Therefore,
Sin 54 = 19/x
x = 19/Sin54 = 19/0.809
x = 23.5 to the nearest tenth.