====================================
![\large \sf \underline{Problem:}](https://tex.z-dn.net/?f=%5Clarge%20%5Csf%20%5Cunderline%7BProblem%3A%7D)
The weight of the rectangle is 80 grams.
The weight of the triangle is double the weight of the
circle.
Determine the weight of the circle.
====================================
![\large \sf \underline{Answer:}](https://tex.z-dn.net/?f=%5Clarge%20%5Csf%20%5Cunderline%7BAnswer%3A%7D)
Rectangle has four sides. The total weight of the circle is 20 grams.
====================================
![\large \sf \underline{Explanation:}](https://tex.z-dn.net/?f=%5Clarge%20%5Csf%20%5Cunderline%7BExplanation%3A%7D)
What is a rectangle?
A rectangle is a 2D shape that has four sides, and the pair of opposite sides are equal and parallel to each other.
As it is given that the weight of the rectangle is 80 grams, and a rectangle is made up of two triangles. Therefore, the weight of each triangle can be written as,
![Weight \: of \: the \: reactangle \: = \frac{80}{2} = 40 grams](https://tex.z-dn.net/?f=Weight%20%20%5C%3A%20of%20%20%5C%3A%20the%20%20%5C%3A%20reactangle%20%20%5C%3A%20%20%3D%20%20%5Cfrac%7B80%7D%7B2%7D%20%20%3D%2040%20grams)
It is given that the total weight of the triangle is double the weight of the circle. therefore, the relationship can be written as,
![Weight \: of \: the \: triangle = 2x \\ Weight \: of \: the \: circle \: \\ 40 = 2 \times Weight \: of \: the \: circle](https://tex.z-dn.net/?f=Weight%20%5C%3A%20%20of%20%20%5C%3A%20the%20%20%5C%3A%20triangle%20%20%3D%202x%20%20%5C%5C%20%20Weight%20%20%5C%3A%20of%20%20%5C%3A%20the%20%20%5C%3A%20circle%20%5C%3A%20%20%5C%5C%2040%20%3D%20%202%20%5Ctimes%20Weight%20%20%5C%3A%20of%20%20%5C%3A%20the%20%20%5C%3A%20circle%20%3C%2Fp%3E%3Cp%3E%20)
![Weight \: of \: the \: circle = 20 grams](https://tex.z-dn.net/?f=Weight%20%20%5C%3A%20of%20%20%5C%3A%20the%20%20%5C%3A%20circle%20%20%3D%2020%20%20%20%20grams)
Hence, the total weight of the circle is 20 grams.
Learn more about Rectangle:
brainly.com/question/994316
====================================
Answer:
D. y = 6x – 5
Step-by-step explanation:
Red: 6x – 2y = 10
Blue y = 6x – 5
Answer:
Step-by-step explanation:
<u>Area of ΔABC is:</u>
<u>We have:</u>
<u>Find CD using Pythagorean:</u>
- CD² = AC² - AD² ⇒ CD² = 3² - 1.8² ⇒ CD² = 5.76 ⇒ CD = √5.76 = 2.4
<u>Find DB using the following identity, coming from ratios of corresponding sides of similar triangles:</u>
- CD² = AD*DB
- 5.76 = 1.8*DB
- DB = 5.76/1.8
- DB = 3.2
<u>Find AB:</u>
- AB = AD + DB
- AB = 1.8 + 3.2
- AB = 5
<u>Find the area of ΔABC:</u>
- A = 1/2*5*2.4
- A = 6 units²
Answer:
6.6
Step-by-step explanation:
Multiply the length value by 5280