Answer:
6.1
Step-by-step explanation:
Draw a picture of an equilateral triangle. Cut the triangle in half, so that you get two 30-60-90 triangles. The area of these smaller triangles is 8 square inches.
The short leg of these triangles (the base) is half the side length: ½ s.
According to properties of 30-60-90 triangles, the long leg (the height) is √3 times the short leg: ½ s√3.
Area of a triangle is half the base times the height:
A = ½bh
8 = ½ (½ s) (½ s√3)
8 = ⅛ s²√3
64 = s²√3
s² = 64/√3
s = √(64/√3)
s ≈ 6.1
Answer:
Explanation:
49-20=29 blue counters
There’s a 29/49 chance that the counter will be blue
Answer:
x= 6/7z
Step-by-step explanation:
5x + 4z = 10z - 2x
5x + 2x = 10z - 4z
7x = 6z
x = 6/7z
Full Question:
<em>Tony rounded each of the numbers 1,143 and 1,149 to the nearest hundred. Which choice correctly compares the rounded numbers? </em>
<em></em>



Answer:

Step-by-step explanation:
Given
1,143 and 1,149
Required
Which of the option is correct
We start by approximating both numbers to nearest digit
<em>1,143; when approximated to nearest hundred is 1,100</em>
<em>1,149; when approximated to nearest hundred is also 1,100</em>
Hence;
1,143 ≅ 1,100
1,149 ≅ 1,100
Comparing both results, we have that

From the list of given options, option C is correct;