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Agata [3.3K]
3 years ago
14

2) The two rectangles shown are similar.

Mathematics
1 answer:
Citrus2011 [14]3 years ago
5 0

Answer:

6\ cm

Step-by-step explanation:

First Rectangle:

length(l_1)=24\ cm\\\\Width(b_1)=9\ cm

Second Rectangle:

length(l_2)=16\ cm\\\\Let\ Width=b_2\ cm

Since\ these\ two\ rectangles\ are\ similar\\\\\frac{l_2}{l_1}=\frac{b_2}{b_1}\\\\\frac{16}{24}=\frac{b_2}{9}\\\\16\times 9=24\times b_2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ cross\ multiplication\\\\b_2=\frac{16\times 9}{24}\\\\b_2=6\ cm

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The area of a sector of an circle of a radius 5 cm, formed by an arc of length is 3.5cm. what is the answer
Natali5045456 [20]

Answer:

8.75cm²

Step-by-step explanation:

First we need to find the angle subtended by the arc

L = theta/360 * 2pir

3.5 = theta/360 * 2*3.14(5)

3.5 = theta/360 * 31.4

theta/360 = 3.5/31.4

theta/360 = 0.11146

theta = 0.11146 * 360

theta = 40.13 degrees

Area of the sector = theta/360 * pir^2

Area of the sector = 40.13/360 * 3.14*25

Area of the sector = 40.13/360 * 78.5

Area of the sector  = 8.75cm

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5 0
2 years ago
Solve for x: 6x – 8y = 12
Tcecarenko [31]

Hi there!


Since we have 2 variables in the given equation, and you only want to solve for one, the other will end up in your answer.


6x + 8y = 12


Step 1) Add 8y to both sides.


6x - 8y + 8y = 12 + 8y 6x = 8y + 12


Step 2) Divide both sides by 6.


\frac{6x}{6} =  \frac{8y + 12}{6}


x =  \frac{4}{3} y + 2


Final Answer -


x =  \frac{4}{3} y + 2


Hope this helps! :D


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Answer:

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Step-by-step explanation:

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Hence Option d is pair of alternate exterior angles.

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