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Flauer [41]
3 years ago
12

Use diagrams or the description of equivalent ratios to show thay 2:3,4:6, and 8:12 are equivalent

Mathematics
1 answer:
VikaD [51]3 years ago
6 0
So
lets say we have
a/b=2a/2b
we know that if we invert one and multiply it by the other (divide them), we get 1 because a/a=1 where a=a

so
2/3 and 4/6 are equivelent because if you divide them we get 12/12=1

2/3 and 8/12 are equivilent because if you divide them we get 24/24=1

and sinde 2/3=4/6 and 2/3=8/12, 2/3=4/6=8/12

they are equivlent
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A regular octagonal pyramid has a base edge of 3m and a lateral area of 60m^2. Find its slant height.
Olin [163]
Octagon = 8-side polygon

<u>Find area of 1 triangle:</u>
Area of one side triangle = 60 ÷ 8 = 7.5 m²

<u>Given area and length, find height:</u>
Area of each triangle = 7.6 m²
Length of each triangle = 3m

Area = 1/2 x base x height
7.5 = 1/2 x 3 x height
Heigth = 5m

Answer: Slanted Height = 5 m

4 0
3 years ago
Suppose a triangle has two sides of length 3and 4 and that the angle between these two sides is 60. What is the length of the th
tangare [24]

9514 1404 393

Answer:

  A.  √13

Step-by-step explanation:

You can make an educated guess and come to the right conclusion.

The triangle is nearly an equilateral triangle. A triangle with two sides 3 and an angle of 60° would have a third side of 3. A triangle with two sides of 4 and an angle of 60° would have a third side of 4.

So, the third side must be between 3 and 4. Here is an evaluation of the answer choices:

__

A -- between 3 and 4, the correct choice

B -- 3, too short

C -- 1.73, too short

D -- more than 4, too long

__

The question can be answered using your triangle solver app on your calculator, or using the Law of Cosines.

  c = √(a^2 +b^2 -2ab·cos(C))

  c = √(3^2 +4^2 -2·3·4·(1/2)) = √(9 +16 -12)

  c = √13 . . . . . length of the side opposite the 60° angle

5 0
3 years ago
A fish tank has a base area of 45cm2 and is filled with water to a depth of 12cm.If the height of the tank is 25cm, how much wat
stepladder [879]

Answer:

Step-by-step explanation:

v = 45 * 12

v = 540cm³

To fill the tank,

v = 45 * 25

v = 1,125cm³

I'm not quite sure what the exact question is so i'll answer both;

1.) The volume of water required to fill the tank from empty = 1,125cm³

2.) The volume of water required to fill the tank from it's current level is

1,125cm³ - 540cm³ = 585cm³

6 0
3 years ago
How many two- fifths are in four-fifths
gulaghasi [49]
2 two-fifths are in four-fifths.

Hope this helps and have a great day!!!

If you need help just comment on my answer.
5 0
3 years ago
The area of the base of a cube is 34 square meters.
nirvana33 [79]

Answer:

your answer would be 5.8

Step-by-step explanation:

8 0
3 years ago
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