5x+8y=24? A)y=-5/8x+3 B)y=-3/8x-5/8 C)y=3x-5/8 D)y=3/8x-5/8
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Answer:
1 : 8
Step-by-step explanation:
For similar figures with ratio of sides = a : b
Then ratio of areas = a² : b² and
ratio of volumes = a³ : b³
Given ratio of areas = 1 : 4
linear ratio = :
= 1 : 2
ratio of volumes = 1³ : 2³ = 1 : 8
The height of this triangle would be 10.4
In order to find this, you first must find the length of the sides. Using a manipulated formula for area of an equilateral triangle, we can determine the lengths of the side. Below if the formula.
S =
In this, S is the length of the side and A is the area. So we plug in and get:
S =
S =
S = 12
Now that we have the side as 12, we can use the Pythagorean Theorem to find the height. If you split a equilateral triangle down the middle, you are left with two right triangles. Using this right triangle, the hypotenuse would be 12, the first leg would be 6 (half of the base) and the height would be the other leg. So we plug in and solve.
h = 10.4