Answer:
Step-by-step explanation:
Since an equilateral has all of the sides equal, we can find the height of triangle using: . I attached a diagram which should explain how I got the dimensions of the three sides. Using the information from the diagram we get the equation:
Subtract a^2 from both sides
Take the square root of both sides
If you know the area of a triangle, it's: . In this case the base=a, and the height is what we defined above. Using this we get:
We can distribute the exponent over the division to get:
Now we can rewrite a^2 as 4a^2/4
Now add the two fractions:
We can distribute the square root the division just like how we distributed the exponent 2, since the square root can be expressed as an exponent (1/2)
There's a radical identity that states: . We can use this to rewrite one radical as multiple radicals to simplify it:
Simplify:
Now multiply the two fractions
This is the formula for the area of an equilateral triangle, but it is also often written as:
You write it as a improper fraction first*
20
-----
8
and then u divide 8 into 20
and we know that it goes in it 2.5 times
so simply from here
it is 2.5%
The answer is x = 30 mm.
Similar shapes have proportional measurements. Hence:
side AB/side BC = side DE/side EF
1.) Substitute with given:
<span> AB/BC = DE/EF
10/4 = DE/12
2.) Cross multiply </span>10/4 = DE/12<span>
4DE = 120
3.) Divide both sides of the equation by 4 </span>to solve for DE:<span>
4DE/4 = 120/4
DE = 30 mm.
4.) Substitute and cross multiply to check if the values are equal:
</span> AB/BC = DE/EF
10/4 = 30/12
4(30) =10(12)
120 = 120
Answer:
5000 kilogram/cubic meter
Step-by-step explanation: