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vichka [17]
3 years ago
15

A rectangle has length 12 feet and width 8 feet. Every dimension of the rectangle is multiplied by 3/4 to form a similar rectang

le. How is the ratio of the areas related to the ratio of corresponding side
Mathematics
1 answer:
kap26 [50]3 years ago
8 0
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.
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Help ASAP. Thank you! Find the area of the shaded region.<br> 80°<br> 5 cm<br> A=[?] cm2
pashok25 [27]

Answer:

Step-by-step explanation:

\text{The area shaded outside of the triangle is}\\ \\ A=\frac{\pi r^2\theta}{360},\ r=5,\ \theta =80^o\\ \\ A=\frac{50\pi}{9}\\ \\ \text{Then we must add the area of the shaded triangle.}\\ \\ A=\frac{bh}{2}\\ \\ \frac{b}{2}=5sin40^o\\ \\ h=5cos40^o\\ \\ A=25sin40^o(cos40^o)\\ \\ \text{Total area is}\\ \\ A=\frac{50\pi }{9}+25sin40^o(cos40^o)\\ \\ A\approx 29.8cm^2

8 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=6%20%5Cdiv%207.74%20%3D%20" id="TexFormula1" title="6 \div 7.74 = " alt="6 \div 7.74 = " align
Liula [17]
6 \div 7.74 = \dfrac{6}{7.74}=\dfrac{6\cdot100}{7.74\cdot100}=\dfrac{600}{774}=\dfrac{600:2}{774:2}=\dfrac{300:3}{387:3}=\dfrac{100}{129}
4 0
3 years ago
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