Answer:
c) 120 ft
Step-by-step explanation:
Let's consider the rhombus has 4 sides, A, B, C, and D.
To find the length of each side, let's first find the length AE.
From the diagram, AE is half of AC and AC = 30 ft.
Therefore,
AE = ½ * 30
AE = 15 ft
Let's find the length AD, since we are looking for the distance around the perimeter.
We are told the rhombus is formed by four identical triangles.
Therefore the distance around the perimeter would be: AD+AD+AD+AD=
30 ft + 30 ft + 30 ft + 30 ft
= 120 ft
The distance around the perimeter of the garden is 120 ft
Y - y₁ = m(x - x₁)
y - 5 = -8(x - 2)
y - 5 = -8(x) + 8(2)
y - 5 = -8x + 16
<u> + 5 + 5</u>
y = -8x + 21
Answer:
a = 6
Step-by-step explanation:
Hello!
Solve:
- 4(3a - 4) = 56
- 3a - 4 = 14 (factoring out 4)
- 3a = 18 (adding 4 to both sides)
- a = 6 (dividing by 3)
Another way:
- 4(3a - 4) = 56
- 12a - 16 = 56 (distributive property)
- 12a = 72 (moving like terms)
- a = 6 (dividing by 12)
Distributive Property of Multiplication:
The process of distributing the outside factor to the terms in the parenthesis.
Example:
Answer:
2 cases of soya bean milk will have the same volume as 1 case of fruit juice.
Step-by-step explanation:
Let the case of soya beans drink be x and let the case of fruit juice be y
We are told that the room can store either 10 cases of soya beans drink and 8 cases of fruit juice or 4 cases of soybeans drink and 11 cases of fruit juice.
This means that;
10x + 8y = 4x + 11y
Rearranging, we have;
10x - 4x = 11y - 8y
6x = 3y
Thus;
y = 6x/3
y = 2x
This means that 2 cases of soya bean milk will have the same volume as 1 case of fruit juice.
The statement that is correct about the volume of the cone is, a cylinder is exactly 3 times bigger than a cone with the same height and radius. Therefore, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.
<h3>The formula for the volume of a cone</h3>
If we look carefully at a cylinder and the cone, if both the objects have the same radius, still the volume of both the objects is different, that difference is been created because the cone is gradually decreasing to a point while the cylinder is of the same radius during the entire length.
This makes a difference in the volume of the two objects.
Therefore, the statement that is correct about the volume of the cone is, a cylinder is exactly 3 times bigger than a cone with the same height and radius.
Hence, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.
Learn more about Cone:
brainly.com/question/1315822
